Patch:6.8

Hotfix 83

Bug Fixes

• Fixed an issue where channeled spells cast using the artifact weapon Illusory would not break invisibility while channeling.
• Fixed an issue where Warlock's transformation into Demon form via Blood Pact could cause abnormal shield animations.
• Fixed an issue where movement could become slowed during gameplay.
• Fixed an issue where Wisp Nightmare would not lure nearby monsters after death, contrary to design.
• Fixed an issue where Cockatrice Nightmare’s attack pattern might not affect the player.
• Fixed an issue where Demon Fly Nightmare could become stuck when unable to find a target.
• Fixed an issue where Demon Imp could heal player-summoned minions.
• Fixed an issue where Demon Imp’s heal could apply through walls.
• Fixed an issue where Demon Imp’s healing effect appeared at the target’s feet.
• Fixed an issue where Dreadspine’s attack patterns could appear in the air instead of on the ground.
• Fixed an issue where Druid could move outside the map using animal form in the Ice Cavern Bridge module.
• Fixed abnormal ore spawn rates in the Goblin Mine module.
• Fixed an issue where the torch in Goblin Cave - Cave Altar A module could appear floating in the air.
• Fixed an issue where skeletons could spawn stuck in walls in the Ruins Forest B module.
• Fixed an issue where players could receive debuffs and damage in Inferno Bloody Falls even when the waterfall was not present.
• Fixed an issue where some blood pools placed in Inferno did not deal damage when touched.
• Fixed an issue where only the initial hit damage from the Flame Spout Trap would be applied.
• Fixed an issue where using Wizard's Invisibility or Potion of Invisibility within the Ghostdust Pouch area would result in no afterimage VFX.
• Fixed an issue where only the Breath of the Deceased boss trigger prop contained AP values.
• Fixed an issue where movement keys and camera rotation might not function properly after resting.
• Fixed an issue where switching held items could cause the previous item to visually overlap.
• Fixed an issue where the Darkgrove Robe might not display correctly when sitting, dying, or performing certain actions.
• Fixed an issue where the helmet might not display correctly after being removed and re-equipped on a dead player wearing Gjermundbu, or when looting it from a Gilded Skeleton.
• Fixed an issue where unequipping certain weapons could momentarily obscure the screen.
• Fixed an issue where weapons might appear abnormally equipped in Spectator Mode inventory view.
• Fixed an issue where crashes could disconnect players and prevent reconnection.
• Adjusted Lobby Skin ambient sound volume.
• Adjusted egg-laying timing of the goose in Exquisite Treasury.
• Fixed an issue where the Expressman’s item delivery alert UI might not function correctly.
• Fixed an issue where the Output Device option was missing from the Audio > Device Settings menu.
• Fixed untranslated text in the description for OPTIONS > Audio > Send Mode.
• Restored lost Gold Coin Bags for affected DLC users

Game Updates

• New Artifacts Added: Bloodthirst, Catice
• New Artifact should now drop from the bosses and the special rooms. Catice from the Lich, Bloodthirst from the Warlord.
• Removed Fog of War (FoW) from all dungeons.
• Increased the movement speed reduction when transforming into Bear Form as a Druid from 25% to 30%.
• Changed Panther’s attack animations and combo actions.
• Improved damage application details for Flame Spout Trap.
• Reduced the damage of certain Ghost King attack patterns.
• Polished VFX for Demon Fly
• Improved the drop rates for the the High-Roller Lich, Warlord, Ghost King, and Frost Wyvern.
• Adventure mode Ore nodes can only be mined once now. Changed from 1 to 2 → just 1.
• Reduced the drop rate of Gold Coin Chest but added the Gold Coin Bag to drop from the hoards.
• Adjusted the Merchant affinity required to craft Boss Trigger Props.

Developer Comments

Hi Adventurers, This update prepares for the start of the new adventure rank season. We have also decided to remove the Fog of War to enable players to make more high-level strategic decisions weighing the risks and rewards of POIs and extraction points. Although we enjoyed the feelings of exploration added by the Fog of War, the feature led to lowered engagement from newer adventurers who we had hoped to protect with this mechanic. We’ve also added two new artifact weapons, the Catice and Bloodthirst which introduces some spectacular new effects. Now that we have our main game modes set, we plan to focus on adding more content for the dungeons in the upcoming season. We thank you and see you in the dungeons!

Hotfix 82-2

Bug Fixes

• Fixed an issue where quest item drop rates could be too low.
• Fixed an issue where the High-Roller entry fee could be applied on each floor descent.
• Fixed an issue where Frost Skeleton Guardman kills might not count for the Squire’s quest.
• Fixed an issue where the Shared Stash could be reset if a Steam user with Legendary Status purchased the DLC: Seasonal Pack without launching the game.

Developer Comments

This patch addresses several edge case bugs. We've focused on improving reliability around quests, item drops, and progression systems to ensure a smoother and more consistent experience. Thank you for your patience.

Hotfix 82-1

Bug Fixes

• Fixed a vulnerability related to purchasing DLC: Seasonal Pack.

Hotfix 82

Bug Fixes

• Fixed an issue where attempting to log in via Epic could cause a crash. (https://darkanddarker.com/support/search/36504669021588)
• Fixed an issue where players needed to reconnect after purchasing Legendary Status on Steam in order to apply the status.
• Fixed a crash that could occur after normal gameplay.
• Fixed an issue in Adventure Mode where projectiles thrown or fired by a player upon death could still deal damage to others.
• Fixed an issue where Legendary items could drop in Adventure Mode.
• Fixed an issue where unintended visual effects could appear on the corpse after killing a Skeleton in Ruins High-Roller.
• Fixed an issue where the Mimic might not activate until the interaction was fully completed.
• Fixed a visual bug where the effect when hitting a Mimic did not appear as intended.
• Fixed an issue where unique named monsters were spawning more frequently than intended.
• Fixed an issue in the Crypt Gated Rooms module where all doors in a specific location required a lockpick, making it difficult to move to another module.
• Fixed an issue where the Marvelous Chest in the Ice Abyss Wyvern Lair was placed in the wrong direction.
• Fixed an issue where the player's view would change directions when exiting through an escape portal.
• Fixed a crash that could occur when transitioning to the next floor.
• Fixed an issue where the corpse of a deceased party member would unexpectedly disappear from view when another party member descended to the next floor.
• Fixed an issue where players could not move to the next floor even after the time limit ended in the Waiting Room.
• Fixed an issue where the loading UI could continue to appear in the tooltip when the cost to claim an item was 0 Gold.
• Fixed an issue where party members' ratings were not visible (only the party leader’s was) when selecting Arena in party mode.
• Fixed an issue where, after completing a quest, the Merchant's greeting for the next quest was replaced by the default greeting.
• Fixed an issue where Dexterity and Vigor options were grouped together in the Gem Socketing List.

Game Updates

• The schedule for the Adventurer Rank season in Early Access Season #6 has been revealed.
• The DLC: EA#6 Seasonal Pack will soon be available for purchase. For more details, please visit the official Dark and Darker website or check it out on Steam.
• New Feature Added – Post Express: The mail service in Dark and Darker is now live! Check your 'Welcome Delivery' at the Expressman after the patch, and experience the new feature through Twitch Drops Campaign #2, starting this weekend!
• Optimizations and performance improvements.
• Changed Sorcerer’s Levitation in Adventure Mode to now be self-cast.
• Increased Wendigo Frozen Heart drop rate.
• Reduced the amount of potions that spawn on the ground.
• Campfires and Hunting Traps can now appear in crates.
• Adjusted the material requirements for crafting Gold Coin Pouches.
• Changed the crafting material grade for Sterling Weapons from Common to Poor.
• Polished the Marketplace schedule UI.

Developer Comments

With Hotfix #82, we’re also launching a new DLC: Seasonal Pack. This pack includes a variety of helpful items to support your adventures, such as an exclusive torch skin, shared stash expansions, useful consumables, and non-tradeable gold coin containers, all designed to enhance your overall gameplay experience. Additionally, this update enables account linking in preparation for the upcoming Twitch Drops #2. We've prepared a range of exciting rewards for this second round of Twitch Drops, so we hope you’ll tune in and join the fun!

Patch 8

Bug Fixes

• Fixed an issue where channeling-type skills occasionally failed to activate.
• Fixed an issue where Sorcerers could use Electric Dash to cross unopened drawbridges.
• Fixed an issue where pressing the R key at a specific time while the Sorcerer was Merging Spells could cancel the cast and leave the casting bar stuck on screen.
• Fixed an issue where Bards playing the Peacemaker song could be hit by a Wizard's Explosion spell even if they were outside the impact area.
• Fixed an issue where Druids reverting from any animal form to human form might not hear the transformation completion sound.
• Fixed an issue where the Fighter’s Shield Slam could be canceled when used at a specific time.
• Fixed an issue where casting Area of Effect (AOE) spells from stairs or lower floors towards the upper floor's ground could consume the spell without activation.
• Fixed an issue where hitting a corpse could result in the attack being blocked.
• Fixed an issue where the movement of the Nightmare Goblin Warrior appeared unnatural.
• Fixed an issue where Frost Skeleton Axemen could continue attacking deceased players.
• Fixed an issue where slimes might not take damage from a Wizard's Explosion.
• Fixed an issue where the poison effect of the Giant Worm would display bubble effects floating in the air when on a sloped surface.
• Fixed an issue where the Ghost King's attacks affected monsters, causing them to die after a single hit following the Ghost King's attack pattern.
• Fixed an issue where the Zombie's poison cloud effect and sound did not synchronize properly.
• Fixed an issue where after defeating a Nightmare Demon Dog or a Nightmare Frost Skeleton Guardsman, leaving and re-entering the rendering range could cause unintended sounds to play from their corpses.
• Fixed an issue where weapon swapping might not function correctly.
• Fixed an issue where switching to an inventory weapon while holding another weapon could momentarily display the newly equipped weapon's drawing motion.
• Fixed an issue where attempting to equip a throwable weapon and then canceling could cause the previously held weapon to become invisible.
• Fixed an issue where canceling an equip interaction with a full inventory could cause the item to drop to the ground without notification or sound.
• Fixed an issue in Goblin Town A where a specific wall was passable, allowing players to move out of the map boundaries.
• Fixed an issue in Goblin Town A where items could spawn floating in the air at certain locations.
• Fixed an issue in Goblin Town A where players could get stuck between specific walls and rocks.
• Fixed an issue in the Ice Cavern Hive module where players could become trapped in certain terrains.
• Fixed an issue in the Ice Cavern Wolf Cave module where continuously pressing the forward key in specific sections could cause screen shaking.
• Fixed an issue in the High-Roller Icicle Cave module where some barrels were duplicated.
• Fixed an issue in the Icy Abyss Staircase Hill module where players could get stuck between torches and walls.
• Fixed an issue in the Ruins Stables module where Druids could use Rat Form to escape the map at certain spots.
• Fixed an issue in the Ruins Refectory module where Druids could use Rat Form to escape the map at certain spots.
• Fixed an issue in the Ruins Greathall A module where a locked iron door requiring a key was placed on the path to the Banshee boss room.
• Fixed an issue in the Ruins Pyramid module where a Silver Coin at a specific location was uncollectible.
• Fixed an issue in the Ruins Tower Bridge module where players could collide with invisible blocking volumes at certain spots.
• Fixed an issue in the Crypt Catacomb module where Druids could use Chicken Form to escape the map at certain spots.
• Fixed an issue in the Crypt High Priests module where monsters could not cross a specific door.
• Fixed an issue in the Crypt Wheel module where skeletons could not follow players up certain stairs.
• Fixed an issue in the Crypt Swamp module where some background props could flicker at certain spots.
• Fixed an issue in the Crypt Dungeons module where parts of certain prison walls protruded unnaturally.
• Fixed an issue in the Crypt Center Altar module where props were floating in the air at specific locations.
• Fixed an issue in the Crypt Broken Bridge module where props were floating in the air at specific locations.
• Fixed an issue in the Crypt Coffin Rooms module where ceiling structures were misaligned.
• Fixed an issue in the Crypt Cross Road module where dropping a necklace item could make it appear as if it had disappeared.
• Fixed an issue in the Crypt where certain random dungeon module combinations could trap players.
• Fixed an issue in the Inferno Blood Castle module where arrows could stick in midair or torches could float.
• Fixed an issue in the Inferno Demon Gate module where items could spawn in midair.
• Fixed an issue in the Inferno where portals could spawn in locations difficult for players to access.
• Fixed an issue where the fixed reward cloak in the Boss Treasure Room might not spawn.
• Fixed an issue where dropping items to the ground in dungeons could cause overlapping sound effects.
• Fixed an issue where the artifact 'Illusory' could activate its effect even if the spell cast failed.
• Fixed an issue where Lantern visual effects could remain on the ground.
• Fixed an issue where using the Oil Lantern could cause crashes in certain situations.
• Fixed an issue where improving fixed options on some equipment could alter the attributes of gear with completed Gem Socketing.
• Fixed an issue where improving fixed options on some equipment could cause discrepancies between the base options of crafting material items and crafted items.
• Fixed an issue where tooltip sizes could momentarily shift when checking item tooltips consecutively, even when the tooltips were the same size, due to information updates within the tooltip.
• Fixed an issue where spectating other parties was not possible even if you escaped successfully while another party remained.
• Fixed an issue where users without a rank—due to never entering a High-Roller dungeon—could have their rank icon displayed as Neophyte.
• Fixed an issue where a friend’s online status could appear incorrectly after reconnecting to the game.
• Fixed an issue where buttons behind the dungeon selection popup could still be clicked.
• Fixed an issue in the character creation screen where the hand position holding sword-type weapons could appear awkward.
• Fixed an issue where a friend's name could appear as their character name instead of their account name.
• Fixed an issue where pressing the Caps Lock key while the Arena chat window was active could trigger the Arena scoreboard.
• Fixed an issue where, after being hit by Echo of Screams in Arena, the sound could become muffled in the next round.
• Fixed an issue where canceling Arena matchmaking and attempting to rematch could cause the game to crash and equipped SSF items to disappear.
• Fixed an issue where items looted after the final round text appeared in the Arena might not be accounted for in the summary.
• Fixed an issue where the High-Roller rank icon could appear in the Arena result screen.
• Fixed an issue where the crafted item ‘Cloak of Darkness’ from the Tailor could only roll two random stats instead of the intended amount.
• Fixed an issue where the Merchant’s text in the Quest Log could be stuck at the bottom due to the scroll bar being fixed there.
• Fixed an issue where the Zombie race’s -5% Debuff Duration Bonus could be applied in reverse.
• Fixed an issue where using the emote ‘The Carole’ while falling could cause the character’s position to be stuck midair.
• Fixed an issue where the smoke effect of the rest interaction ‘Skewered Food’ could be directed into the ground.
• Fixed an issue where character legs could appear distorted while using resting emotes.

General Updates

• New PvE only ‘Adventure Mode’ has been added to the game!
• The risk/reward balance including loot drops, monster difficulties, and other settings for all the game modes have been adjusted to give varying risk to reward profiles.
• The Marketplace and Trading Post will be closed for the first two weeks of this season.
• Twitch Drops Campaign #2 is coming soon! Check our Discord announcements for details.
• 6 new shop items are now available for sale. Visit the shop to check them out!
• New Interactive Emote available as an EA5 Demigod exclusive reward.
• A new ‘Artifact’ grade has been added for in-game items.
• 2 new throwable items added: Poison Vial and Ghostdust Pouch
• 3 new craftable items added: Staff of Gluttony, Crystal Frost Ring, and Tome of Sheol
• 4 new Inferno Normal monsters added: Demon Imp, Ghoul, Demon Fly, and Hell Maggot
• 3 new Inferno Subbosses added: Cerberus, Dreadspine, and Abomination
• New monster patterns added for the Nightmare Ice Spider, Nightmare Harpy, Nightmare Cockatrice, Nightmare Frost Giant Shielder, Nightmare Yeti, Nightmare Giant Worm, and Nightmare Wendigo.
• Added a new High-Roller boss summoning system with new crafted items for the Lich, Warlord, Ghost King, and Frost Wyvern. More bosses to be added in future updates.
• Adjusted the health and damage of each boss monster.
• The ‘Illusory’ artifact now leaves afterimages periodically when casting spells.
• Improved certain monster movements using a new IK system.
• Improved the hit effects on monsters based on their materials.
• Environmental props have been optimized.
• New Ruins modules added.
• Adjusted the Ruins Dual Boss Room door proportions.
• Updated the textures in the Ice Cavern maps.
• The return of the Expressman. You can now deliver a separate batch of items between each floor.
• Added a high-value chest to the center of the Arena Bat Roost module.
• Sound effect added to the "Hold the Line" Emote.
• Items now have new ‘Tradable’ and ‘Permitted Area’ properties that restrict how certain items can be used.
• Account-Wide Merchant: Shop and crafting services are now shared across your account.
• Account-Wide Marketplace: Marketplace access is now shared across your account.
• New Cockatrice NPC added to the Merchant list. Complete quests to grow your Cockatrice.
• Increased the purchase limits for ‘Poor’ grade Hunting Traps, Francisca Axes, and Throwing Knives from 1 → 10 per purchase period.
• The crafting limit for most crafted items for each crafting period has been increased from 1 → 3.
• UI polish to the Squire: My Gear Sets button.
• Brightness options have been separated in the options for more precise control over the brightness of the menus.
• Russian font replaced for improved readability.
• Fonts updated to support French, Spanish, Portuguese, and German accents.
• General sound improvements.
• Items obtained with Reward Tokens are treated as Self Founded items.
• Reward Tokens should no longer give 'Uncommon' grade items.
• Reward Token now have a chance to drop a Unique Grade item.
• Reward Token now have a chance to drop a Gold Coin Chest.
• Reward Token now have a chance to drop a Gold Coin Bag.
• Updated the Goblin Merchant so he now offers more items.
• Squire basic sets updated with Sorcerer and Druid equipment.
• Decreased the AP gained for going down a floor from 100 AP → 10 AP.
• Increased the penalty for dying from -0 AP → -10 AP.
• Crafting recipes for the Potion of Healing, Potion of Protection, Magic Protection Potion, and Potion of Clarity have been updated.

General Balance Updates

The Armor Rating curve has been modified to give slightly less PDR in the early part of the curve. Cooldown time reduction bonuses are limited to a maximum cap of 65%.

Class Balance Updates

Casting a spell with Time Distortion equipped now applies a -30% Action Speed debuff. Sorcerer’s Stone Skin duration changed from 10 seconds to 15 seconds, and its physical damage reduction bonus changed from 10% to 15%.

Item Balance Updates

Random modifiers have been significantly modified. Weapon damage for most weapons have been updated. The weapon animation for the Club has been improved. The draw speed of the Crystal Sword has been slightly improved. The gear score of items have been readjusted. Helmets, gloves, and boots have had their gear score slightly increased. Weapons and crafted items have had their gear score normalized. (Click here for more info)

Developer Comments

Welcome to Early Access Season 6! This season we are excited to introduce the new PvE-only ‘Adventure mode’! Gather your friends and delve into the dungeons for an exciting co-op dungeon crawling experience! To add extra weight to adventuring and finding your own loot from the dungeons, we’ve closed the trade market for the first two weeks of this season. We’ve also added many new monsters, dungeon modules, and a full season of quests. Join us as we continue to work on making the dungeons more lived-in and interactive. We look forward to a fun-filled exciting season as we build towards the ultimate online fantasy simulator. Thank you and see you in the dungeons!

Community Notes

Luck curves changed. The range of luck grades 4 through 8 have been reduced. The curves all follow the same pattern, but their magnitudes have been reduced.

• Luck grade 4: 3.505 -> 1.752.
• Luck grade 5: 3.881 -> 2.538.
• Luck grade 6: 4.257 -> 3.28.
• Luck grade 7: 4.382 -> 3.705.
• Luck grade 8: 4.382 -> 4.213.

On the surface, this is a nerf to luck grades below 8, but overall it is a substantial buff to luck's effectiveness for high luck grades.

Previously, tables that only contained luck grades 5-8 would see minimal change from luck, even at luck values currently impossible in-game.

Compared to the previous patch, the increased relative difference between the high end luck grades makes luck more effective for high roller loot tables.

Before:

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LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade00}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<5000:1+0\left|L_{uckGrade}-0\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade01}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<5000:1+0\left|L_{uckGrade}-0\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade02}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<10:1+0\left|L_{uckGrade}-0\right|,10 \le L_{uckGrade}<20:1+0\left|L_{uckGrade}-10\right|,20 \le L_{uckGrade}<30:0.999+0\left|L_{uckGrade}-20\right|,30 \le L_{uckGrade}<40:0.999+0\left|L_{uckGrade}-30\right|,40 \le L_{uckGrade}<50:0.998+0\left|L_{uckGrade}-40\right|,50 \le L_{uckGrade}<60:0.998+0\left|L_{uckGrade}-50\right|,60 \le L_{uckGrade}<70:0.997+0\left|L_{uckGrade}-60\right|,70 \le L_{uckGrade}<80:0.997+0\left|L_{uckGrade}-70\right|,80 \le L_{uckGrade}<90:0.996+0\left|L_{uckGrade}-80\right|,90 \le L_{uckGrade}<100:0.996+0\left|L_{uckGrade}-90\right|,100 \le L_{uckGrade}<110:0.995+0\left|L_{uckGrade}-100\right|,110 \le L_{uckGrade}<120:0.995+0\left|L_{uckGrade}-110\right|,120 \le L_{uckGrade}<130:0.994+0\left|L_{uckGrade}-120\right|,130 \le L_{uckGrade}<140:0.994+0\left|L_{uckGrade}-130\right|,140 \le L_{uckGrade}<150:0.993+0\left|L_{uckGrade}-140\right|,150 \le L_{uckGrade}<160:0.993+0\left|L_{uckGrade}-150\right|,160 \le L_{uckGrade}<170:0.992+0\left|L_{uckGrade}-160\right|,170 \le L_{uckGrade}<180:0.992+0\left|L_{uckGrade}-170\right|,180 \le L_{uckGrade}<190:0.991+0\left|L_{uckGrade}-180\right|,190 \le L_{uckGrade}<200:0.991+0\left|L_{uckGrade}-190\right|,200 \le L_{uckGrade}<210:0.99+0\left|L_{uckGrade}-200\right|,210 \le L_{uckGrade}<220:0.99+0\left|L_{uckGrade}-210\right|,220 \le L_{uckGrade}<230:0.989+0\left|L_{uckGrade}-220\right|,230 \le L_{uckGrade}<240:0.989+0\left|L_{uckGrade}-230\right|,240 \le L_{uckGrade}<250:0.988+0\left|L_{uckGrade}-240\right|,250 \le L_{uckGrade}<260:0.988+0\left|L_{uckGrade}-250\right|,260 \le L_{uckGrade}<270:0.987+0\left|L_{uckGrade}-260\right|,270 \le L_{uckGrade}<280:0.987+0\left|L_{uckGrade}-270\right|,280 \le L_{uckGrade}<290:0.986+0\left|L_{uckGrade}-280\right|,290 \le L_{uckGrade}<300:0.986+0\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<310:0.985+0\left|L_{uckGrade}-300\right|,310 \le L_{uckGrade}<320:0.985+0\left|L_{uckGrade}-310\right|,320 \le L_{uckGrade}<330:0.984+0\left|L_{uckGrade}-320\right|,330 \le L_{uckGrade}<340:0.984+0\left|L_{uckGrade}-330\right|,340 \le L_{uckGrade}<350:0.983+0\left|L_{uckGrade}-340\right|,350 \le L_{uckGrade}<360:0.983+0\left|L_{uckGrade}-350\right|,360 \le L_{uckGrade}<370:0.982+0\left|L_{uckGrade}-360\right|,370 \le L_{uckGrade}<380:0.982+0\left|L_{uckGrade}-370\right|,380 \le L_{uckGrade}<390:0.981+0\left|L_{uckGrade}-380\right|,390 \le L_{uckGrade}<400:0.981+0\left|L_{uckGrade}-390\right|,400 \le L_{uckGrade}<410:0.98+0\left|L_{uckGrade}-400\right|,410 \le L_{uckGrade}<420:0.98+0\left|L_{uckGrade}-410\right|,420 \le L_{uckGrade}<430:0.979+0\left|L_{uckGrade}-420\right|,430 \le L_{uckGrade}<440:0.979+0\left|L_{uckGrade}-430\right|,440 \le L_{uckGrade}<450:0.978+0\left|L_{uckGrade}-440\right|,450 \le L_{uckGrade}<460:0.978+0\left|L_{uckGrade}-450\right|,460 \le L_{uckGrade}<470:0.977+0\left|L_{uckGrade}-460\right|,470 \le L_{uckGrade}<480:0.977+0\left|L_{uckGrade}-470\right|,480 \le L_{uckGrade}<490:0.976+0\left|L_{uckGrade}-480\right|,490 \le L_{uckGrade}<500:0.976+0\left|L_{uckGrade}-490\right|,500 \le L_{uckGrade}<510:0.975+0\left|L_{uckGrade}-500\right|,510 \le L_{uckGrade}<520:0.975+0\left|L_{uckGrade}-510\right|,520 \le L_{uckGrade}<530:0.974+0\left|L_{uckGrade}-520\right|,530 \le L_{uckGrade}<540:0.974+0\left|L_{uckGrade}-530\right|,540 \le L_{uckGrade}<550:0.973+0\left|L_{uckGrade}-540\right|,550 \le L_{uckGrade}<560:0.973+0\left|L_{uckGrade}-550\right|,560 \le L_{uckGrade}<570:0.972+0\left|L_{uckGrade}-560\right|,570 \le L_{uckGrade}<580:0.972+0\left|L_{uckGrade}-570\right|,580 \le L_{uckGrade}<590:0.971+0\left|L_{uckGrade}-580\right|,590 \le L_{uckGrade}<600:0.971+0\left|L_{uckGrade}-590\right|,600 \le L_{uckGrade}<610:0.97+0\left|L_{uckGrade}-600\right|,610 \le L_{uckGrade}<620:0.97+0\left|L_{uckGrade}-610\right|,620 \le L_{uckGrade}<630:0.969+0\left|L_{uckGrade}-620\right|,630 \le L_{uckGrade}<640:0.969+0\left|L_{uckGrade}-630\right|,640 \le L_{uckGrade}<650:0.968+0\left|L_{uckGrade}-640\right|,650 \le L_{uckGrade}<660:0.968+0\left|L_{uckGrade}-650\right|,660 \le L_{uckGrade}<670:0.967+0\left|L_{uckGrade}-660\right|,670 \le L_{uckGrade}<680:0.967+0\left|L_{uckGrade}-670\right|,680 \le L_{uckGrade}<690:0.966+0\left|L_{uckGrade}-680\right|,690 \le L_{uckGrade}<700:0.966+0\left|L_{uckGrade}-690\right|,700 \le L_{uckGrade}<710:0.965+0\left|L_{uckGrade}-700\right|,710 \le L_{uckGrade}<720:0.965+0\left|L_{uckGrade}-710\right|,720 \le L_{uckGrade}<730:0.964+0\left|L_{uckGrade}-720\right|,730 \le L_{uckGrade}<740:0.964+0\left|L_{uckGrade}-730\right|,740 \le L_{uckGrade}<750:0.963+0\left|L_{uckGrade}-740\right|,750 \le L_{uckGrade}<760:0.963+0\left|L_{uckGrade}-750\right|,760 \le L_{uckGrade}<770:0.962+0\left|L_{uckGrade}-760\right|,770 \le L_{uckGrade}<780:0.962+0\left|L_{uckGrade}-770\right|,780 \le L_{uckGrade}<790:0.961+0\left|L_{uckGrade}-780\right|,790 \le L_{uckGrade}<800:0.961+0\left|L_{uckGrade}-790\right|,800 \le L_{uckGrade}<810:0.96+0\left|L_{uckGrade}-800\right|,810 \le L_{uckGrade}<820:0.96+0\left|L_{uckGrade}-810\right|,820 \le L_{uckGrade}<830:0.959+0\left|L_{uckGrade}-820\right|,830 \le L_{uckGrade}<840:0.959+0\left|L_{uckGrade}-830\right|,840 \le L_{uckGrade}<850:0.958+0\left|L_{uckGrade}-840\right|,850 \le L_{uckGrade}<860:0.958+0\left|L_{uckGrade}-850\right|,860 \le L_{uckGrade}<870:0.957+0\left|L_{uckGrade}-860\right|,870 \le L_{uckGrade}<880:0.957+0\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<890:0.956+0\left|L_{uckGrade}-880\right|,890 \le L_{uckGrade}<900:0.956+0\left|L_{uckGrade}-890\right|,900 \le L_{uckGrade}<910:0.955+0\left|L_{uckGrade}-900\right|,910 \le L_{uckGrade}<920:0.955+0\left|L_{uckGrade}-910\right|,920 \le L_{uckGrade}<930:0.954+0\left|L_{uckGrade}-920\right|,930 \le L_{uckGrade}<940:0.954+0\left|L_{uckGrade}-930\right|,940 \le L_{uckGrade}<950:0.953+0\left|L_{uckGrade}-940\right|,950 \le L_{uckGrade}<960:0.953+0\left|L_{uckGrade}-950\right|,960 \le L_{uckGrade}<970:0.952+0\left|L_{uckGrade}-960\right|,970 \le L_{uckGrade}<980:0.952+0\left|L_{uckGrade}-970\right|,980 \le L_{uckGrade}<990:0.951+0\left|L_{uckGrade}-980\right|,990 \le L_{uckGrade}<1000:0.951+0\left|L_{uckGrade}-990\right|,1000 \le L_{uckGrade}<1010:0.95+0\left|L_{uckGrade}-1000\right|,1010 \le L_{uckGrade}<1020:0.95+0\left|L_{uckGrade}-1010\right|,1020 \le L_{uckGrade}<1030:0.949+0\left|L_{uckGrade}-1020\right|,1030 \le L_{uckGrade}<1040:0.949+0\left|L_{uckGrade}-1030\right|,1040 \le L_{uckGrade}<1050:0.948+0\left|L_{uckGrade}-1040\right|,1050 \le L_{uckGrade}<1060:0.948+0\left|L_{uckGrade}-1050\right|,1060 \le L_{uckGrade}<1070:0.947+0\left|L_{uckGrade}-1060\right|,1070 \le L_{uckGrade}<1080:0.947+0\left|L_{uckGrade}-1070\right|,1080 \le L_{uckGrade}<1090:0.946+0\left|L_{uckGrade}-1080\right|,1090 \le L_{uckGrade}<1100:0.946+0\left|L_{uckGrade}-1090\right|,1100 \le L_{uckGrade}<1110:0.945+0\left|L_{uckGrade}-1100\right|,1110 \le L_{uckGrade}<1120:0.945+0\left|L_{uckGrade}-1110\right|,1120 \le L_{uckGrade}<1130:0.944+0\left|L_{uckGrade}-1120\right|,1130 \le L_{uckGrade}<1140:0.944+0\left|L_{uckGrade}-1130\right|,1140 \le L_{uckGrade}<1150:0.943+0\left|L_{uckGrade}-1140\right|,1150 \le L_{uckGrade}<1160:0.943+0\left|L_{uckGrade}-1150\right|,1160 \le L_{uckGrade}<1170:0.942+0\left|L_{uckGrade}-1160\right|,1170 \le L_{uckGrade}<1180:0.942+0\left|L_{uckGrade}-1170\right|,1180 \le L_{uckGrade}<1190:0.941+0\left|L_{uckGrade}-1180\right|,1190 \le L_{uckGrade}<1200:0.941+0\left|L_{uckGrade}-1190\right|,1200 \le L_{uckGrade}<1210:0.94+0\left|L_{uckGrade}-1200\right|,1210 \le L_{uckGrade}<1220:0.94+0\left|L_{uckGrade}-1210\right|,1220 \le L_{uckGrade}<1230:0.939+0\left|L_{uckGrade}-1220\right|,1230 \le L_{uckGrade}<1240:0.939+0\left|L_{uckGrade}-1230\right|,1240 \le L_{uckGrade}<1250:0.938+0\left|L_{uckGrade}-1240\right|,1250 \le L_{uckGrade}<1260:0.938+0\left|L_{uckGrade}-1250\right|,1260 \le L_{uckGrade}<1270:0.937+0\left|L_{uckGrade}-1260\right|,1270 \le L_{uckGrade}<1280:0.937+0\left|L_{uckGrade}-1270\right|,1280 \le L_{uckGrade}<1290:0.936+0\left|L_{uckGrade}-1280\right|,1290 \le L_{uckGrade}<1300:0.936+0\left|L_{uckGrade}-1290\right|,1300 \le L_{uckGrade}<1310:0.935+0\left|L_{uckGrade}-1300\right|,1310 \le L_{uckGrade}<1320:0.935+0\left|L_{uckGrade}-1310\right|,1320 \le L_{uckGrade}<1330:0.934+0\left|L_{uckGrade}-1320\right|,1330 \le L_{uckGrade}<1340:0.934+0\left|L_{uckGrade}-1330\right|,1340 \le L_{uckGrade}<1350:0.933+0\left|L_{uckGrade}-1340\right|,1350 \le L_{uckGrade}<1360:0.933+0\left|L_{uckGrade}-1350\right|,1360 \le L_{uckGrade}<1370:0.932+0\left|L_{uckGrade}-1360\right|,1370 \le L_{uckGrade}<1380:0.932+0\left|L_{uckGrade}-1370\right|,1380 \le L_{uckGrade}<1390:0.931+0\left|L_{uckGrade}-1380\right|,1390 \le L_{uckGrade}<1400:0.931+0\left|L_{uckGrade}-1390\right|,1400 \le L_{uckGrade}<1410:0.93+0\left|L_{uckGrade}-1400\right|,1410 \le L_{uckGrade}<1420:0.93+0\left|L_{uckGrade}-1410\right|,1420 \le L_{uckGrade}<1430:0.929+0\left|L_{uckGrade}-1420\right|,1430 \le L_{uckGrade}<1440:0.929+0\left|L_{uckGrade}-1430\right|,1440 \le L_{uckGrade}<1450:0.928+0\left|L_{uckGrade}-1440\right|,1450 \le L_{uckGrade}<1460:0.928+0\left|L_{uckGrade}-1450\right|,1460 \le L_{uckGrade}<1470:0.927+0\left|L_{uckGrade}-1460\right|,1470 \le L_{uckGrade}<1480:0.927+0\left|L_{uckGrade}-1470\right|,1480 \le L_{uckGrade}<1490:0.926+0\left|L_{uckGrade}-1480\right|,1490 \le L_{uckGrade}<1500:0.926+0\left|L_{uckGrade}-1490\right|,1500 \le L_{uckGrade}<1510:0.925+0\left|L_{uckGrade}-1500\right|,1510 \le L_{uckGrade}<1520:0.925+0\left|L_{uckGrade}-1510\right|,1520 \le L_{uckGrade}<1530:0.924+0\left|L_{uckGrade}-1520\right|,1530 \le L_{uckGrade}<1540:0.924+0\left|L_{uckGrade}-1530\right|,1540 \le L_{uckGrade}<1550:0.923+0\left|L_{uckGrade}-1540\right|,1550 \le L_{uckGrade}<1560:0.923+0\left|L_{uckGrade}-1550\right|,1560 \le L_{uckGrade}<1570:0.922+0\left|L_{uckGrade}-1560\right|,1570 \le L_{uckGrade}<1580:0.922+0\left|L_{uckGrade}-1570\right|,1580 \le L_{uckGrade}<1590:0.921+0\left|L_{uckGrade}-1580\right|,1590 \le L_{uckGrade}<1600:0.921+0\left|L_{uckGrade}-1590\right|,1600 \le L_{uckGrade}<1610:0.92+0\left|L_{uckGrade}-1600\right|,1610 \le L_{uckGrade}<1620:0.92+0\left|L_{uckGrade}-1610\right|,1620 \le L_{uckGrade}<1630:0.919+0\left|L_{uckGrade}-1620\right|,1630 \le L_{uckGrade}<1640:0.919+0\left|L_{uckGrade}-1630\right|,1640 \le L_{uckGrade}<1650:0.918+0\left|L_{uckGrade}-1640\right|,1650 \le L_{uckGrade}<1660:0.918+0\left|L_{uckGrade}-1650\right|,1660 \le L_{uckGrade}<1670:0.917+0\left|L_{uckGrade}-1660\right|,1670 \le L_{uckGrade}<1680:0.917+0\left|L_{uckGrade}-1670\right|,1680 \le L_{uckGrade}<1690:0.916+0\left|L_{uckGrade}-1680\right|,1690 \le L_{uckGrade}<1700:0.916+0\left|L_{uckGrade}-1690\right|,1700 \le L_{uckGrade}<1710:0.915+0\left|L_{uckGrade}-1700\right|,1710 \le L_{uckGrade}<1720:0.915+0\left|L_{uckGrade}-1710\right|,1720 \le L_{uckGrade}<1730:0.914+0\left|L_{uckGrade}-1720\right|,1730 \le L_{uckGrade}<1740:0.914+0\left|L_{uckGrade}-1730\right|,1740 \le L_{uckGrade}<1750:0.913+0\left|L_{uckGrade}-1740\right|,1750 \le L_{uckGrade}<1760:0.913+0\left|L_{uckGrade}-1750\right|,1760 \le L_{uckGrade}<1770:0.912+0\left|L_{uckGrade}-1760\right|,1770 \le L_{uckGrade}<1780:0.912+0\left|L_{uckGrade}-1770\right|,1780 \le L_{uckGrade}<1790:0.911+0\left|L_{uckGrade}-1780\right|,1790 \le L_{uckGrade}<1800:0.911+0\left|L_{uckGrade}-1790\right|,1800 \le L_{uckGrade}<1810:0.91+0\left|L_{uckGrade}-1800\right|,1810 \le L_{uckGrade}<1820:0.91+0\left|L_{uckGrade}-1810\right|,1820 \le L_{uckGrade}<1830:0.909+0\left|L_{uckGrade}-1820\right|,1830 \le L_{uckGrade}<1840:0.909+0\left|L_{uckGrade}-1830\right|,1840 \le L_{uckGrade}<1850:0.908+0\left|L_{uckGrade}-1840\right|,1850 \le L_{uckGrade}<1860:0.908+0\left|L_{uckGrade}-1850\right|,1860 \le L_{uckGrade}<1870:0.907+0\left|L_{uckGrade}-1860\right|,1870 \le L_{uckGrade}<1880:0.907+0\left|L_{uckGrade}-1870\right|,1880 \le L_{uckGrade}<1890:0.906+0\left|L_{uckGrade}-1880\right|,1890 \le L_{uckGrade}<1900:0.906+0\left|L_{uckGrade}-1890\right|,1900 \le L_{uckGrade}<1910:0.905+0\left|L_{uckGrade}-1900\right|,1910 \le L_{uckGrade}<1920:0.905+0\left|L_{uckGrade}-1910\right|,1920 \le L_{uckGrade}<1930:0.904+0\left|L_{uckGrade}-1920\right|,1930 \le L_{uckGrade}<1940:0.904+0\left|L_{uckGrade}-1930\right|,1940 \le L_{uckGrade}<1950:0.903+0\left|L_{uckGrade}-1940\right|,1950 \le L_{uckGrade}<1960:0.903+0\left|L_{uckGrade}-1950\right|,1960 \le L_{uckGrade}<1970:0.902+0\left|L_{uckGrade}-1960\right|,1970 \le L_{uckGrade}<1980:0.902+0\left|L_{uckGrade}-1970\right|,1980 \le L_{uckGrade}<1990:0.901+0\left|L_{uckGrade}-1980\right|,1990 \le L_{uckGrade}<2000:0.901+0\left|L_{uckGrade}-1990\right|,2000 \le L_{uckGrade}<2010:0.9+0\left|L_{uckGrade}-2000\right|,2010 \le L_{uckGrade}<2020:0.9+0\left|L_{uckGrade}-2010\right|,2020 \le L_{uckGrade}<2030:0.899+0\left|L_{uckGrade}-2020\right|,2030 \le L_{uckGrade}<2040:0.899+0\left|L_{uckGrade}-2030\right|,2040 \le L_{uckGrade}<2050:0.898+0\left|L_{uckGrade}-2040\right|,2050 \le L_{uckGrade}<2060:0.898+0\left|L_{uckGrade}-2050\right|,2060 \le L_{uckGrade}<2070:0.897+0\left|L_{uckGrade}-2060\right|,2070 \le L_{uckGrade}<2080:0.897+0\left|L_{uckGrade}-2070\right|,2080 \le L_{uckGrade}<2090:0.896+0\left|L_{uckGrade}-2080\right|,2090 \le L_{uckGrade}<2100:0.896+0\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2110:0.895+0\left|L_{uckGrade}-2100\right|,2110 \le L_{uckGrade}<2120:0.895+0\left|L_{uckGrade}-2110\right|,2120 \le L_{uckGrade}<2130:0.894+0\left|L_{uckGrade}-2120\right|,2130 \le L_{uckGrade}<2140:0.894+0\left|L_{uckGrade}-2130\right|,2140 \le L_{uckGrade}<2150:0.893+0\left|L_{uckGrade}-2140\right|,2150 \le L_{uckGrade}<2160:0.893+0\left|L_{uckGrade}-2150\right|,2160 \le L_{uckGrade}<2170:0.892+0\left|L_{uckGrade}-2160\right|,2170 \le L_{uckGrade}<2180:0.892+0\left|L_{uckGrade}-2170\right|,2180 \le L_{uckGrade}<2190:0.891+0\left|L_{uckGrade}-2180\right|,2190 \le L_{uckGrade}<2200:0.891+0\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2210:0.89+0\left|L_{uckGrade}-2200\right|,2210 \le L_{uckGrade}<2220:0.89+0\left|L_{uckGrade}-2210\right|,2220 \le L_{uckGrade}<2230:0.889+0\left|L_{uckGrade}-2220\right|,2230 \le L_{uckGrade}<2240:0.889+0\left|L_{uckGrade}-2230\right|,2240 \le L_{uckGrade}<2250:0.888+0\left|L_{uckGrade}-2240\right|,2250 \le L_{uckGrade}<2260:0.888+0\left|L_{uckGrade}-2250\right|,2260 \le L_{uckGrade}<2270:0.887+0\left|L_{uckGrade}-2260\right|,2270 \le L_{uckGrade}<2280:0.887+0\left|L_{uckGrade}-2270\right|,2280 \le L_{uckGrade}<2290:0.886+0\left|L_{uckGrade}-2280\right|,2290 \le L_{uckGrade}<2300:0.886+0\left|L_{uckGrade}-2290\right|,2300 \le L_{uckGrade}<2310:0.885+0\left|L_{uckGrade}-2300\right|,2310 \le L_{uckGrade}<2320:0.885+0\left|L_{uckGrade}-2310\right|,2320 \le L_{uckGrade}<2330:0.884+0\left|L_{uckGrade}-2320\right|,2330 \le L_{uckGrade}<2340:0.884+0\left|L_{uckGrade}-2330\right|,2340 \le L_{uckGrade}<2350:0.883+0\left|L_{uckGrade}-2340\right|,2350 \le L_{uckGrade}<2360:0.883+0\left|L_{uckGrade}-2350\right|,2360 \le L_{uckGrade}<2370:0.882+0\left|L_{uckGrade}-2360\right|,2370 \le L_{uckGrade}<2380:0.882+0\left|L_{uckGrade}-2370\right|,2380 \le L_{uckGrade}<2390:0.881+0\left|L_{uckGrade}-2380\right|,2390 \le L_{uckGrade}<2400:0.881+0\left|L_{uckGrade}-2390\right|,2400 \le L_{uckGrade}<2410:0.88+0\left|L_{uckGrade}-2400\right|,2410 \le L_{uckGrade}<2420:0.88+0\left|L_{uckGrade}-2410\right|,2420 \le L_{uckGrade}<2430:0.879+0\left|L_{uckGrade}-2420\right|,2430 \le L_{uckGrade}<2440:0.879+0\left|L_{uckGrade}-2430\right|,2440 \le L_{uckGrade}<2450:0.878+0\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2460:0.878+0\left|L_{uckGrade}-2450\right|,2460 \le L_{uckGrade}<2470:0.877+0\left|L_{uckGrade}-2460\right|,2470 \le L_{uckGrade}<2480:0.877+0\left|L_{uckGrade}-2470\right|,2480 \le L_{uckGrade}<2490:0.876+0\left|L_{uckGrade}-2480\right|,2490 \le L_{uckGrade}<2500:0.876+0\left|L_{uckGrade}-2490\right|,2500 \le L_{uckGrade}<2510:0.875+0\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2520:0.875+0\left|L_{uckGrade}-2510\right|,2520 \le L_{uckGrade}<2530:0.874+0\left|L_{uckGrade}-2520\right|,2530 \le L_{uckGrade}<2540:0.874+0\left|L_{uckGrade}-2530\right|,2540 \le L_{uckGrade}<2550:0.873+0\left|L_{uckGrade}-2540\right|,2550 \le L_{uckGrade}<2560:0.873+0\left|L_{uckGrade}-2550\right|,2560 \le L_{uckGrade}<2570:0.872+0\left|L_{uckGrade}-2560\right|,2570 \le L_{uckGrade}<2580:0.872+0\left|L_{uckGrade}-2570\right|,2580 \le L_{uckGrade}<2590:0.871+0\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2600:0.871+0\left|L_{uckGrade}-2590\right|,2600 \le L_{uckGrade}<2610:0.87+0\left|L_{uckGrade}-2600\right|,2610 \le L_{uckGrade}<2620:0.87+0\left|L_{uckGrade}-2610\right|,2620 \le L_{uckGrade}<2630:0.869+0\left|L_{uckGrade}-2620\right|,2630 \le L_{uckGrade}<2640:0.869+0\left|L_{uckGrade}-2630\right|,2640 \le L_{uckGrade}<2650:0.868+0\left|L_{uckGrade}-2640\right|,2650 \le L_{uckGrade}<2660:0.868+0\left|L_{uckGrade}-2650\right|,2660 \le L_{uckGrade}<2670:0.867+0\left|L_{uckGrade}-2660\right|,2670 \le L_{uckGrade}<2680:0.867+0\left|L_{uckGrade}-2670\right|,2680 \le L_{uckGrade}<2690:0.866+0\left|L_{uckGrade}-2680\right|,2690 \le L_{uckGrade}<2700:0.866+0\left|L_{uckGrade}-2690\right|,2700 \le L_{uckGrade}<2710:0.865+0\left|L_{uckGrade}-2700\right|,2710 \le L_{uckGrade}<2720:0.865+0\left|L_{uckGrade}-2710\right|,2720 \le L_{uckGrade}<2730:0.864+0\left|L_{uckGrade}-2720\right|,2730 \le L_{uckGrade}<2740:0.864+0\left|L_{uckGrade}-2730\right|,2740 \le L_{uckGrade}<2750:0.863+0\left|L_{uckGrade}-2740\right|,2750 \le L_{uckGrade}<2760:0.863+0\left|L_{uckGrade}-2750\right|,2760 \le L_{uckGrade}<2770:0.862+0\left|L_{uckGrade}-2760\right|,2770 \le L_{uckGrade}<2780:0.862+0\left|L_{uckGrade}-2770\right|,2780 \le L_{uckGrade}<2790:0.861+0\left|L_{uckGrade}-2780\right|,2790 \le L_{uckGrade}<2800:0.861+0\left|L_{uckGrade}-2790\right|,2800 \le L_{uckGrade}<2810:0.86+0\left|L_{uckGrade}-2800\right|,2810 \le L_{uckGrade}<2820:0.86+0\left|L_{uckGrade}-2810\right|,2820 \le L_{uckGrade}<2830:0.859+0\left|L_{uckGrade}-2820\right|,2830 \le L_{uckGrade}<2840:0.859+0\left|L_{uckGrade}-2830\right|,2840 \le L_{uckGrade}<2850:0.858+0\left|L_{uckGrade}-2840\right|,2850 \le L_{uckGrade}<2860:0.858+0\left|L_{uckGrade}-2850\right|,2860 \le L_{uckGrade}<2870:0.857+0\left|L_{uckGrade}-2860\right|,2870 \le L_{uckGrade}<2880:0.857+0\left|L_{uckGrade}-2870\right|,2880 \le L_{uckGrade}<2890:0.856+0\left|L_{uckGrade}-2880\right|,2890 \le L_{uckGrade}<2900:0.856+0\left|L_{uckGrade}-2890\right|,2900 \le L_{uckGrade}<2910:0.855+0\left|L_{uckGrade}-2900\right|,2910 \le L_{uckGrade}<2920:0.855+0\left|L_{uckGrade}-2910\right|,2920 \le L_{uckGrade}<2930:0.854+0\left|L_{uckGrade}-2920\right|,2930 \le L_{uckGrade}<2940:0.854+0\left|L_{uckGrade}-2930\right|,2940 \le L_{uckGrade}<2950:0.853+0\left|L_{uckGrade}-2940\right|,2950 \le L_{uckGrade}<2960:0.853+0\left|L_{uckGrade}-2950\right|,2960 \le L_{uckGrade}<2970:0.852+0\left|L_{uckGrade}-2960\right|,2970 \le L_{uckGrade}<2980:0.852+0\left|L_{uckGrade}-2970\right|,2980 \le L_{uckGrade}<2990:0.851+0\left|L_{uckGrade}-2980\right|,2990 \le L_{uckGrade}<3000:0.851+0\left|L_{uckGrade}-2990\right|,3000 \le L_{uckGrade}<3010:0.85+0\left|L_{uckGrade}-3000\right|,3010 \le L_{uckGrade}<3020:0.85+0\left|L_{uckGrade}-3010\right|,3020 \le L_{uckGrade}<3030:0.849+0\left|L_{uckGrade}-3020\right|,3030 \le L_{uckGrade}<3040:0.849+0\left|L_{uckGrade}-3030\right|,3040 \le L_{uckGrade}<3050:0.848+0\left|L_{uckGrade}-3040\right|,3050 \le L_{uckGrade}<3060:0.848+0\left|L_{uckGrade}-3050\right|,3060 \le L_{uckGrade}<3070:0.847+0\left|L_{uckGrade}-3060\right|,3070 \le L_{uckGrade}<3080:0.847+0\left|L_{uckGrade}-3070\right|,3080 \le L_{uckGrade}<3090:0.846+0\left|L_{uckGrade}-3080\right|,3090 \le L_{uckGrade}<3100:0.846+0\left|L_{uckGrade}-3090\right|,3100 \le L_{uckGrade}<3110:0.845+0\left|L_{uckGrade}-3100\right|,3110 \le L_{uckGrade}<3120:0.845+0\left|L_{uckGrade}-3110\right|,3120 \le L_{uckGrade}<3130:0.844+0\left|L_{uckGrade}-3120\right|,3130 \le L_{uckGrade}<3140:0.844+0\left|L_{uckGrade}-3130\right|,3140 \le L_{uckGrade}<3150:0.843+0\left|L_{uckGrade}-3140\right|,3150 \le L_{uckGrade}<3160:0.843+0\left|L_{uckGrade}-3150\right|,3160 \le L_{uckGrade}<3170:0.842+0\left|L_{uckGrade}-3160\right|,3170 \le L_{uckGrade}<3180:0.842+0\left|L_{uckGrade}-3170\right|,3180 \le L_{uckGrade}<3190:0.841+0\left|L_{uckGrade}-3180\right|,3190 \le L_{uckGrade}<3200:0.841+0\left|L_{uckGrade}-3190\right|,3200 \le L_{uckGrade}<3210:0.84+0\left|L_{uckGrade}-3200\right|,3210 \le L_{uckGrade}<3220:0.84+0\left|L_{uckGrade}-3210\right|,3220 \le L_{uckGrade}<3230:0.839+0\left|L_{uckGrade}-3220\right|,3230 \le L_{uckGrade}<3240:0.839+0\left|L_{uckGrade}-3230\right|,3240 \le L_{uckGrade}<3250:0.838+0\left|L_{uckGrade}-3240\right|,3250 \le L_{uckGrade}<3260:0.838+0\left|L_{uckGrade}-3250\right|,3260 \le L_{uckGrade}<3270:0.837+0\left|L_{uckGrade}-3260\right|,3270 \le L_{uckGrade}<3280:0.837+0\left|L_{uckGrade}-3270\right|,3280 \le L_{uckGrade}<3290:0.836+0\left|L_{uckGrade}-3280\right|,3290 \le L_{uckGrade}<3300:0.836+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3310:0.835+0\left|L_{uckGrade}-3300\right|,3310 \le L_{uckGrade}<3320:0.835+0\left|L_{uckGrade}-3310\right|,3320 \le L_{uckGrade}<3330:0.834+0\left|L_{uckGrade}-3320\right|,3330 \le L_{uckGrade}<3340:0.834+0\left|L_{uckGrade}-3330\right|,3340 \le L_{uckGrade}<3350:0.833+0\left|L_{uckGrade}-3340\right|,3350 \le L_{uckGrade}<3360:0.833+0\left|L_{uckGrade}-3350\right|,3360 \le L_{uckGrade}<3370:0.832+0\left|L_{uckGrade}-3360\right|,3370 \le L_{uckGrade}<3380:0.832+0\left|L_{uckGrade}-3370\right|,3380 \le L_{uckGrade}<3390:0.831+0\left|L_{uckGrade}-3380\right|,3390 \le L_{uckGrade}<3400:0.831+0\left|L_{uckGrade}-3390\right|,3400 \le L_{uckGrade}<3410:0.83+0\left|L_{uckGrade}-3400\right|,3410 \le L_{uckGrade}<3420:0.83+0\left|L_{uckGrade}-3410\right|,3420 \le L_{uckGrade}<3430:0.829+0\left|L_{uckGrade}-3420\right|,3430 \le L_{uckGrade}<3440:0.829+0\left|L_{uckGrade}-3430\right|,3440 \le L_{uckGrade}<3450:0.828+0\left|L_{uckGrade}-3440\right|,3450 \le L_{uckGrade}<3460:0.828+0\left|L_{uckGrade}-3450\right|,3460 \le L_{uckGrade}<3470:0.827+0\left|L_{uckGrade}-3460\right|,3470 \le L_{uckGrade}<3480:0.827+0\left|L_{uckGrade}-3470\right|,3480 \le L_{uckGrade}<3490:0.826+0\left|L_{uckGrade}-3480\right|,3490 \le L_{uckGrade}<3500:0.826+0\left|L_{uckGrade}-3490\right|,3500 \le L_{uckGrade}<3510:0.825+0\left|L_{uckGrade}-3500\right|,3510 \le L_{uckGrade}<3520:0.825+0\left|L_{uckGrade}-3510\right|,3520 \le L_{uckGrade}<3530:0.824+0\left|L_{uckGrade}-3520\right|,3530 \le L_{uckGrade}<3540:0.824+0\left|L_{uckGrade}-3530\right|,3540 \le L_{uckGrade}<3550:0.823+0\left|L_{uckGrade}-3540\right|,3550 \le L_{uckGrade}<3560:0.823+0\left|L_{uckGrade}-3550\right|,3560 \le L_{uckGrade}<3570:0.822+0\left|L_{uckGrade}-3560\right|,3570 \le L_{uckGrade}<3580:0.822+0\left|L_{uckGrade}-3570\right|,3580 \le L_{uckGrade}<3590:0.821+0\left|L_{uckGrade}-3580\right|,3590 \le L_{uckGrade}<3600:0.821+0\left|L_{uckGrade}-3590\right|,3600 \le L_{uckGrade}<3610:0.82+0\left|L_{uckGrade}-3600\right|,3610 \le L_{uckGrade}<3620:0.82+0\left|L_{uckGrade}-3610\right|,3620 \le L_{uckGrade}<3630:0.819+0\left|L_{uckGrade}-3620\right|,3630 \le L_{uckGrade}<3640:0.819+0\left|L_{uckGrade}-3630\right|,3640 \le L_{uckGrade}<3650:0.818+0\left|L_{uckGrade}-3640\right|,3650 \le L_{uckGrade}<3660:0.818+0\left|L_{uckGrade}-3650\right|,3660 \le L_{uckGrade}<3670:0.817+0\left|L_{uckGrade}-3660\right|,3670 \le L_{uckGrade}<3680:0.817+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3690:0.816+0\left|L_{uckGrade}-3680\right|,3690 \le L_{uckGrade}<3700:0.816+0\left|L_{uckGrade}-3690\right|,3700 \le L_{uckGrade}<3710:0.815+0\left|L_{uckGrade}-3700\right|,3710 \le L_{uckGrade}<3720:0.815+0\left|L_{uckGrade}-3710\right|,3720 \le L_{uckGrade}<3730:0.814+0\left|L_{uckGrade}-3720\right|,3730 \le L_{uckGrade}<3740:0.814+0\left|L_{uckGrade}-3730\right|,3740 \le L_{uckGrade}<3750:0.813+0\left|L_{uckGrade}-3740\right|,3750 \le L_{uckGrade}<3760:0.813+0\left|L_{uckGrade}-3750\right|,3760 \le L_{uckGrade}<3770:0.812+0\left|L_{uckGrade}-3760\right|,3770 \le L_{uckGrade}<3780:0.812+0\left|L_{uckGrade}-3770\right|,3780 \le L_{uckGrade}<3790:0.811+0\left|L_{uckGrade}-3780\right|,3790 \le L_{uckGrade}<3800:0.811+0\left|L_{uckGrade}-3790\right|,3800 \le L_{uckGrade}<3810:0.81+0\left|L_{uckGrade}-3800\right|,3810 \le L_{uckGrade}<3820:0.81+0\left|L_{uckGrade}-3810\right|,3820 \le L_{uckGrade}<3830:0.809+0\left|L_{uckGrade}-3820\right|,3830 \le L_{uckGrade}<3840:0.809+0\left|L_{uckGrade}-3830\right|,3840 \le L_{uckGrade}<3850:0.808+0\left|L_{uckGrade}-3840\right|,3850 \le L_{uckGrade}<3860:0.808+0\left|L_{uckGrade}-3850\right|,3860 \le L_{uckGrade}<3870:0.807+0\left|L_{uckGrade}-3860\right|,3870 \le L_{uckGrade}<3880:0.807+0\left|L_{uckGrade}-3870\right|,3880 \le L_{uckGrade}<3890:0.806+0\left|L_{uckGrade}-3880\right|,3890 \le L_{uckGrade}<3900:0.806+0\left|L_{uckGrade}-3890\right|,3900 \le L_{uckGrade}<3910:0.805+0\left|L_{uckGrade}-3900\right|,3910 \le L_{uckGrade}<3920:0.805+0\left|L_{uckGrade}-3910\right|,3920 \le L_{uckGrade}<3930:0.804+0\left|L_{uckGrade}-3920\right|,3930 \le L_{uckGrade}<3940:0.804+0\left|L_{uckGrade}-3930\right|,3940 \le L_{uckGrade}<3950:0.803+0\left|L_{uckGrade}-3940\right|,3950 \le L_{uckGrade}<3960:0.803+0\left|L_{uckGrade}-3950\right|,3960 \le L_{uckGrade}<3970:0.802+0\left|L_{uckGrade}-3960\right|,3970 \le L_{uckGrade}<3980:0.802+0\left|L_{uckGrade}-3970\right|,3980 \le L_{uckGrade}<3990:0.801+0\left|L_{uckGrade}-3980\right|,3990 \le L_{uckGrade}<4000:0.801+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4010:0.8+0\left|L_{uckGrade}-4000\right|,4010 \le L_{uckGrade}<4020:0.8+0\left|L_{uckGrade}-4010\right|,4020 \le L_{uckGrade}<4030:0.799+0\left|L_{uckGrade}-4020\right|,4030 \le L_{uckGrade}<4040:0.799+0\left|L_{uckGrade}-4030\right|,4040 \le L_{uckGrade}<4050:0.798+0\left|L_{uckGrade}-4040\right|,4050 \le L_{uckGrade}<4060:0.798+0\left|L_{uckGrade}-4050\right|,4060 \le L_{uckGrade}<4070:0.797+0\left|L_{uckGrade}-4060\right|,4070 \le L_{uckGrade}<4080:0.797+0\left|L_{uckGrade}-4070\right|,4080 \le L_{uckGrade}<4090:0.796+0\left|L_{uckGrade}-4080\right|,4090 \le L_{uckGrade}<4100:0.796+0\left|L_{uckGrade}-4090\right|,4100 \le L_{uckGrade}<4110:0.795+0\left|L_{uckGrade}-4100\right|,4110 \le L_{uckGrade}<4120:0.795+0\left|L_{uckGrade}-4110\right|,4120 \le L_{uckGrade}<4130:0.794+0\left|L_{uckGrade}-4120\right|,4130 \le L_{uckGrade}<4140:0.794+0\left|L_{uckGrade}-4130\right|,4140 \le L_{uckGrade}<4150:0.793+0\left|L_{uckGrade}-4140\right|,4150 \le L_{uckGrade}<4160:0.793+0\left|L_{uckGrade}-4150\right|,4160 \le L_{uckGrade}<4170:0.792+0\left|L_{uckGrade}-4160\right|,4170 \le L_{uckGrade}<4180:0.792+0\left|L_{uckGrade}-4170\right|,4180 \le L_{uckGrade}<4190:0.791+0\left|L_{uckGrade}-4180\right|,4190 \le L_{uckGrade}<4200:0.791+0\left|L_{uckGrade}-4190\right|,4200 \le L_{uckGrade}<4210:0.79+0\left|L_{uckGrade}-4200\right|,4210 \le L_{uckGrade}<4220:0.79+0\left|L_{uckGrade}-4210\right|,4220 \le L_{uckGrade}<4230:0.789+0\left|L_{uckGrade}-4220\right|,4230 \le L_{uckGrade}<4240:0.789+0\left|L_{uckGrade}-4230\right|,4240 \le L_{uckGrade}<4250:0.788+0\left|L_{uckGrade}-4240\right|,4250 \le L_{uckGrade}<4260:0.788+0\left|L_{uckGrade}-4250\right|,4260 \le L_{uckGrade}<4270:0.787+0\left|L_{uckGrade}-4260\right|,4270 \le L_{uckGrade}<4280:0.787+0\left|L_{uckGrade}-4270\right|,4280 \le L_{uckGrade}<4290:0.786+0\left|L_{uckGrade}-4280\right|,4290 \le L_{uckGrade}<4300:0.786+0\left|L_{uckGrade}-4290\right|,4300 \le L_{uckGrade}<4310:0.785+0\left|L_{uckGrade}-4300\right|,4310 \le L_{uckGrade}<4320:0.785+0\left|L_{uckGrade}-4310\right|,4320 \le L_{uckGrade}<4330:0.784+0\left|L_{uckGrade}-4320\right|,4330 \le L_{uckGrade}<4340:0.784+0\left|L_{uckGrade}-4330\right|,4340 \le L_{uckGrade}<4350:0.783+0\left|L_{uckGrade}-4340\right|,4350 \le L_{uckGrade}<4360:0.783+0\left|L_{uckGrade}-4350\right|,4360 \le L_{uckGrade}<4370:0.782+0\left|L_{uckGrade}-4360\right|,4370 \le L_{uckGrade}<4380:0.782+0\left|L_{uckGrade}-4370\right|,4380 \le L_{uckGrade}<4390:0.781+0\left|L_{uckGrade}-4380\right|,4390 \le L_{uckGrade}<4400:0.781+0\left|L_{uckGrade}-4390\right|,4400 \le L_{uckGrade}<4410:0.78+0\left|L_{uckGrade}-4400\right|,4410 \le L_{uckGrade}<4420:0.78+0\left|L_{uckGrade}-4410\right|,4420 \le L_{uckGrade}<4430:0.779+0\left|L_{uckGrade}-4420\right|,4430 \le L_{uckGrade}<4440:0.779+0\left|L_{uckGrade}-4430\right|,4440 \le L_{uckGrade}<4450:0.778+0\left|L_{uckGrade}-4440\right|,4450 \le L_{uckGrade}<4460:0.778+0\left|L_{uckGrade}-4450\right|,4460 \le L_{uckGrade}<4470:0.777+0\left|L_{uckGrade}-4460\right|,4470 \le L_{uckGrade}<4480:0.777+0\left|L_{uckGrade}-4470\right|,4480 \le L_{uckGrade}<4490:0.776+0\left|L_{uckGrade}-4480\right|,4490 \le L_{uckGrade}<4500:0.776+0\left|L_{uckGrade}-4490\right|,4500 \le L_{uckGrade}<4510:0.775+0\left|L_{uckGrade}-4500\right|,4510 \le L_{uckGrade}<4520:0.775+0\left|L_{uckGrade}-4510\right|,4520 \le L_{uckGrade}<4530:0.774+0\left|L_{uckGrade}-4520\right|,4530 \le L_{uckGrade}<4540:0.774+0\left|L_{uckGrade}-4530\right|,4540 \le L_{uckGrade}<4550:0.773+0\left|L_{uckGrade}-4540\right|,4550 \le L_{uckGrade}<4560:0.773+0\left|L_{uckGrade}-4550\right|,4560 \le L_{uckGrade}<4570:0.772+0\left|L_{uckGrade}-4560\right|,4570 \le L_{uckGrade}<4580:0.772+0\left|L_{uckGrade}-4570\right|,4580 \le L_{uckGrade}<4590:0.771+0\left|L_{uckGrade}-4580\right|,4590 \le L_{uckGrade}<4600:0.771+0\left|L_{uckGrade}-4590\right|,4600 \le L_{uckGrade}<4610:0.77+0\left|L_{uckGrade}-4600\right|,4610 \le L_{uckGrade}<4620:0.77+0\left|L_{uckGrade}-4610\right|,4620 \le L_{uckGrade}<4630:0.769+0\left|L_{uckGrade}-4620\right|,4630 \le L_{uckGrade}<4640:0.769+0\left|L_{uckGrade}-4630\right|,4640 \le L_{uckGrade}<4650:0.768+0\left|L_{uckGrade}-4640\right|,4650 \le L_{uckGrade}<4660:0.768+0\left|L_{uckGrade}-4650\right|,4660 \le L_{uckGrade}<4670:0.767+0\left|L_{uckGrade}-4660\right|,4670 \le L_{uckGrade}<4680:0.767+0\left|L_{uckGrade}-4670\right|,4680 \le L_{uckGrade}<4690:0.766+0\left|L_{uckGrade}-4680\right|,4690 \le L_{uckGrade}<4700:0.766+0\left|L_{uckGrade}-4690\right|,4700 \le L_{uckGrade}<4710:0.765+0\left|L_{uckGrade}-4700\right|,4710 \le L_{uckGrade}<4720:0.765+0\left|L_{uckGrade}-4710\right|,4720 \le L_{uckGrade}<4730:0.764+0\left|L_{uckGrade}-4720\right|,4730 \le L_{uckGrade}<4740:0.764+0\left|L_{uckGrade}-4730\right|,4740 \le L_{uckGrade}<4750:0.763+0\left|L_{uckGrade}-4740\right|,4750 \le L_{uckGrade}<4760:0.763+0\left|L_{uckGrade}-4750\right|,4760 \le L_{uckGrade}<4770:0.762+0\left|L_{uckGrade}-4760\right|,4770 \le L_{uckGrade}<4780:0.762+0\left|L_{uckGrade}-4770\right|,4780 \le L_{uckGrade}<4790:0.761+0\left|L_{uckGrade}-4780\right|,4790 \le L_{uckGrade}<4800:0.761+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4810:0.76+0\left|L_{uckGrade}-4800\right|,4810 \le L_{uckGrade}<4820:0.76+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4830:0.759+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4840:0.759+0\left|L_{uckGrade}-4830\right|,4840 \le L_{uckGrade}<4850:0.758+0\left|L_{uckGrade}-4840\right|,4850 \le L_{uckGrade}<4860:0.758+0\left|L_{uckGrade}-4850\right|,4860 \le L_{uckGrade}<4870:0.757+0\left|L_{uckGrade}-4860\right|,4870 \le L_{uckGrade}<4880:0.757+0\left|L_{uckGrade}-4870\right|,4880 \le L_{uckGrade}<4890:0.756+0\left|L_{uckGrade}-4880\right|,4890 \le L_{uckGrade}<4900:0.756+0\left|L_{uckGrade}-4890\right|,4900 \le L_{uckGrade}<4910:0.755+0\left|L_{uckGrade}-4900\right|,4910 \le L_{uckGrade}<4920:0.755+0\left|L_{uckGrade}-4910\right|,4920 \le L_{uckGrade}<4930:0.754+0\left|L_{uckGrade}-4920\right|,4930 \le L_{uckGrade}<4940:0.754+0\left|L_{uckGrade}-4930\right|,4940 \le L_{uckGrade}<4950:0.753+0\left|L_{uckGrade}-4940\right|,4950 \le L_{uckGrade}<4960:0.753+0\left|L_{uckGrade}-4950\right|,4960 \le L_{uckGrade}<4970:0.752+0\left|L_{uckGrade}-4960\right|,4970 \le L_{uckGrade}<4980:0.752+0\left|L_{uckGrade}-4970\right|,4980 \le L_{uckGrade}<4990:0.751+0\left|L_{uckGrade}-4980\right|,4990 \le L_{uckGrade}<5000:0.751+0\left|L_{uckGrade}-4990\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade03}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<5000:1+0\left|L_{uckGrade}-0\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade04}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<70:1+0.001\left|L_{uckGrade}-0\right|,70 \le L_{uckGrade}<80:1.07+0.001\left|L_{uckGrade}-70\right|,80 \le L_{uckGrade}<120:1.079+0.001\left|L_{uckGrade}-80\right|,120 \le L_{uckGrade}<130:1.119+0.001\left|L_{uckGrade}-120\right|,130 \le L_{uckGrade}<160:1.128+0.001\left|L_{uckGrade}-130\right|,160 \le L_{uckGrade}<170:1.158+0.001\left|L_{uckGrade}-160\right|,170 \le L_{uckGrade}<190:1.167+0.001\left|L_{uckGrade}-170\right|,190 \le L_{uckGrade}<200:1.187+0.001\left|L_{uckGrade}-190\right|,200 \le L_{uckGrade}<210:1.196+0.001\left|L_{uckGrade}-200\right|,210 \le L_{uckGrade}<220:1.206+0.001\left|L_{uckGrade}-210\right|,220 \le L_{uckGrade}<230:1.215+0.001\left|L_{uckGrade}-220\right|,230 \le L_{uckGrade}<240:1.225+0.001\left|L_{uckGrade}-230\right|,240 \le L_{uckGrade}<260:1.234+0.001\left|L_{uckGrade}-240\right|,260 \le L_{uckGrade}<280:1.254+0.001\left|L_{uckGrade}-260\right|,280 \le L_{uckGrade}<290:1.272+0.001\left|L_{uckGrade}-280\right|,290 \le L_{uckGrade}<300:1.282+0.001\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<310:1.291+0.001\left|L_{uckGrade}-300\right|,310 \le L_{uckGrade}<330:1.301+0.001\left|L_{uckGrade}-310\right|,330 \le L_{uckGrade}<340:1.319+0.001\left|L_{uckGrade}-330\right|,340 \le L_{uckGrade}<360:1.329+0.001\left|L_{uckGrade}-340\right|,360 \le L_{uckGrade}<370:1.347+0.001\left|L_{uckGrade}-360\right|,370 \le L_{uckGrade}<400:1.357+0.001\left|L_{uckGrade}-370\right|,400 \le L_{uckGrade}<410:1.384+0.001\left|L_{uckGrade}-400\right|,410 \le L_{uckGrade}<490:1.394+0.001\left|L_{uckGrade}-410\right|,490 \le L_{uckGrade}<500:1.466+0.001\left|L_{uckGrade}-490\right|,500 \le L_{uckGrade}<510:1.476+0.001\left|L_{uckGrade}-500\right|,510 \le L_{uckGrade}<520:1.485+0.001\left|L_{uckGrade}-510\right|,520 \le L_{uckGrade}<600:1.493+0.001\left|L_{uckGrade}-520\right|,600 \le L_{uckGrade}<610:1.565+0.001\left|L_{uckGrade}-600\right|,610 \le L_{uckGrade}<640:1.573+0.001\left|L_{uckGrade}-610\right|,640 \le L_{uckGrade}<650:1.6+0.001\left|L_{uckGrade}-640\right|,650 \le L_{uckGrade}<670:1.608+0.001\left|L_{uckGrade}-650\right|,670 \le L_{uckGrade}<680:1.626+0.001\left|L_{uckGrade}-670\right|,680 \le L_{uckGrade}<700:1.634+0.001\left|L_{uckGrade}-680\right|,700 \le L_{uckGrade}<710:1.652+0.001\left|L_{uckGrade}-700\right|,710 \le L_{uckGrade}<720:1.66+0.001\left|L_{uckGrade}-710\right|,720 \le L_{uckGrade}<730:1.669+0.001\left|L_{uckGrade}-720\right|,730 \le L_{uckGrade}<750:1.677+0.001\left|L_{uckGrade}-730\right|,750 \le L_{uckGrade}<770:1.695+0.001\left|L_{uckGrade}-750\right|,770 \le L_{uckGrade}<780:1.711+0.001\left|L_{uckGrade}-770\right|,780 \le L_{uckGrade}<790:1.72+0.001\left|L_{uckGrade}-780\right|,790 \le L_{uckGrade}<800:1.728+0.001\left|L_{uckGrade}-790\right|,800 \le L_{uckGrade}<810:1.737+0.001\left|L_{uckGrade}-800\right|,810 \le L_{uckGrade}<820:1.745+0.001\left|L_{uckGrade}-810\right|,820 \le L_{uckGrade}<840:1.754+0.001\left|L_{uckGrade}-820\right|,840 \le L_{uckGrade}<850:1.77+0.001\left|L_{uckGrade}-840\right|,850 \le L_{uckGrade}<880:1.779+0.001\left|L_{uckGrade}-850\right|,880 \le L_{uckGrade}<890:1.803+0.001\left|L_{uckGrade}-880\right|,890 \le L_{uckGrade}<930:1.812+0.001\left|L_{uckGrade}-890\right|,930 \le L_{uckGrade}<940:1.844+0.001\left|L_{uckGrade}-930\right|,940 \le L_{uckGrade}<1070:1.853+0.001\left|L_{uckGrade}-940\right|,1070 \le L_{uckGrade}<1080:1.957+0.001\left|L_{uckGrade}-1070\right|,1080 \le L_{uckGrade}<1120:1.964+0.001\left|L_{uckGrade}-1080\right|,1120 \le L_{uckGrade}<1130:1.996+0.001\left|L_{uckGrade}-1120\right|,1130 \le L_{uckGrade}<1160:2.003+0.001\left|L_{uckGrade}-1130\right|,1160 \le L_{uckGrade}<1170:2.027+0.001\left|L_{uckGrade}-1160\right|,1170 \le L_{uckGrade}<1190:2.034+0.001\left|L_{uckGrade}-1170\right|,1190 \le L_{uckGrade}<1200:2.05+0.001\left|L_{uckGrade}-1190\right|,1200 \le L_{uckGrade}<1210:2.057+0.001\left|L_{uckGrade}-1200\right|,1210 \le L_{uckGrade}<1220:2.065+0.001\left|L_{uckGrade}-1210\right|,1220 \le L_{uckGrade}<1230:2.072+0.001\left|L_{uckGrade}-1220\right|,1230 \le L_{uckGrade}<1240:2.08+0.001\left|L_{uckGrade}-1230\right|,1240 \le L_{uckGrade}<1260:2.087+0.001\left|L_{uckGrade}-1240\right|,1260 \le L_{uckGrade}<1280:2.103+0.001\left|L_{uckGrade}-1260\right|,1280 \le L_{uckGrade}<1290:2.117+0.001\left|L_{uckGrade}-1280\right|,1290 \le L_{uckGrade}<1300:2.125+0.001\left|L_{uckGrade}-1290\right|,1300 \le L_{uckGrade}<1310:2.132+0.001\left|L_{uckGrade}-1300\right|,1310 \le L_{uckGrade}<1330:2.14+0.001\left|L_{uckGrade}-1310\right|,1330 \le L_{uckGrade}<1340:2.154+0.001\left|L_{uckGrade}-1330\right|,1340 \le L_{uckGrade}<1360:2.162+0.001\left|L_{uckGrade}-1340\right|,1360 \le L_{uckGrade}<1370:2.176+0.001\left|L_{uckGrade}-1360\right|,1370 \le L_{uckGrade}<1400:2.184+0.001\left|L_{uckGrade}-1370\right|,1400 \le L_{uckGrade}<1410:2.205+0.001\left|L_{uckGrade}-1400\right|,1410 \le L_{uckGrade}<1490:2.213+0.001\left|L_{uckGrade}-1410\right|,1490 \le L_{uckGrade}<1500:2.269+0.001\left|L_{uckGrade}-1490\right|,1500 \le L_{uckGrade}<1510:2.277+0.001\left|L_{uckGrade}-1500\right|,1510 \le L_{uckGrade}<1520:2.284+0.001\left|L_{uckGrade}-1510\right|,1520 \le L_{uckGrade}<1600:2.29+0.001\left|L_{uckGrade}-1520\right|,1600 \le L_{uckGrade}<1610:2.346+0.001\left|L_{uckGrade}-1600\right|,1610 \le L_{uckGrade}<1640:2.352+0.001\left|L_{uckGrade}-1610\right|,1640 \le L_{uckGrade}<1650:2.373+0.001\left|L_{uckGrade}-1640\right|,1650 \le L_{uckGrade}<1670:2.379+0.001\left|L_{uckGrade}-1650\right|,1670 \le L_{uckGrade}<1680:2.393+0.001\left|L_{uckGrade}-1670\right|,1680 \le L_{uckGrade}<1700:2.399+0.001\left|L_{uckGrade}-1680\right|,1700 \le L_{uckGrade}<1710:2.413+0.001\left|L_{uckGrade}-1700\right|,1710 \le L_{uckGrade}<1720:2.419+0.001\left|L_{uckGrade}-1710\right|,1720 \le L_{uckGrade}<1730:2.426+0.001\left|L_{uckGrade}-1720\right|,1730 \le L_{uckGrade}<1750:2.432+0.001\left|L_{uckGrade}-1730\right|,1750 \le L_{uckGrade}<1770:2.446+0.001\left|L_{uckGrade}-1750\right|,1770 \le L_{uckGrade}<1780:2.458+0.001\left|L_{uckGrade}-1770\right|,1780 \le L_{uckGrade}<1790:2.465+0.001\left|L_{uckGrade}-1780\right|,1790 \le L_{uckGrade}<1800:2.471+0.001\left|L_{uckGrade}-1790\right|,1800 \le L_{uckGrade}<1810:2.478+0.001\left|L_{uckGrade}-1800\right|,1810 \le L_{uckGrade}<1820:2.484+0.001\left|L_{uckGrade}-1810\right|,1820 \le L_{uckGrade}<1840:2.491+0.001\left|L_{uckGrade}-1820\right|,1840 \le L_{uckGrade}<1850:2.503+0.001\left|L_{uckGrade}-1840\right|,1850 \le L_{uckGrade}<1880:2.51+0.001\left|L_{uckGrade}-1850\right|,1880 \le L_{uckGrade}<1890:2.528+0.001\left|L_{uckGrade}-1880\right|,1890 \le L_{uckGrade}<1930:2.535+0.001\left|L_{uckGrade}-1890\right|,1930 \le L_{uckGrade}<1940:2.559+0.001\left|L_{uckGrade}-1930\right|,1940 \le L_{uckGrade}<2070:2.566+0.001\left|L_{uckGrade}-1940\right|,2070 \le L_{uckGrade}<2080:2.644+0\left|L_{uckGrade}-2070\right|,2080 \le L_{uckGrade}<2120:2.649+0.001\left|L_{uckGrade}-2080\right|,2120 \le L_{uckGrade}<2130:2.673+0\left|L_{uckGrade}-2120\right|,2130 \le L_{uckGrade}<2160:2.678+0.001\left|L_{uckGrade}-2130\right|,2160 \le L_{uckGrade}<2170:2.696+0\left|L_{uckGrade}-2160\right|,2170 \le L_{uckGrade}<2190:2.701+0.001\left|L_{uckGrade}-2170\right|,2190 \le L_{uckGrade}<2200:2.713+0\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2210:2.718+0.001\left|L_{uckGrade}-2200\right|,2210 \le L_{uckGrade}<2220:2.724+0\left|L_{uckGrade}-2210\right|,2220 \le L_{uckGrade}<2230:2.729+0.001\left|L_{uckGrade}-2220\right|,2230 \le L_{uckGrade}<2240:2.735+0.001\left|L_{uckGrade}-2230\right|,2240 \le L_{uckGrade}<2260:2.74+0.001\left|L_{uckGrade}-2240\right|,2260 \le L_{uckGrade}<2280:2.752+0.001\left|L_{uckGrade}-2260\right|,2280 \le L_{uckGrade}<2290:2.762+0.001\left|L_{uckGrade}-2280\right|,2290 \le L_{uckGrade}<2300:2.768+0.001\left|L_{uckGrade}-2290\right|,2300 \le L_{uckGrade}<2310:2.773+0.001\left|L_{uckGrade}-2300\right|,2310 \le L_{uckGrade}<2330:2.779+0.001\left|L_{uckGrade}-2310\right|,2330 \le L_{uckGrade}<2340:2.789+0.001\left|L_{uckGrade}-2330\right|,2340 \le L_{uckGrade}<2360:2.795+0.001\left|L_{uckGrade}-2340\right|,2360 \le L_{uckGrade}<2370:2.805+0.001\left|L_{uckGrade}-2360\right|,2370 \le L_{uckGrade}<2400:2.811+0.001\left|L_{uckGrade}-2370\right|,2400 \le L_{uckGrade}<2410:2.826+0.001\left|L_{uckGrade}-2400\right|,2410 \le L_{uckGrade}<2490:2.832+0.001\left|L_{uckGrade}-2410\right|,2490 \le L_{uckGrade}<2500:2.872+0.001\left|L_{uckGrade}-2490\right|,2500 \le L_{uckGrade}<2510:2.878+0\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2520:2.883+0\left|L_{uckGrade}-2510\right|,2520 \le L_{uckGrade}<2600:2.887+0.001\left|L_{uckGrade}-2520\right|,2600 \le L_{uckGrade}<2610:2.927+0\left|L_{uckGrade}-2600\right|,2610 \le L_{uckGrade}<2640:2.931+0.001\left|L_{uckGrade}-2610\right|,2640 \le L_{uckGrade}<2650:2.946+0\left|L_{uckGrade}-2640\right|,2650 \le L_{uckGrade}<2670:2.95+0\left|L_{uckGrade}-2650\right|,2670 \le L_{uckGrade}<2680:2.96+0\left|L_{uckGrade}-2670\right|,2680 \le L_{uckGrade}<2700:2.964+0.001\left|L_{uckGrade}-2680\right|,2700 \le L_{uckGrade}<2710:2.974+0\left|L_{uckGrade}-2700\right|,2710 \le L_{uckGrade}<2720:2.978+0\left|L_{uckGrade}-2710\right|,2720 \le L_{uckGrade}<2730:2.983+0\left|L_{uckGrade}-2720\right|,2730 \le L_{uckGrade}<2750:2.987+0\left|L_{uckGrade}-2730\right|,2750 \le L_{uckGrade}<2770:2.997+0\left|L_{uckGrade}-2750\right|,2770 \le L_{uckGrade}<2780:3.005+0\left|L_{uckGrade}-2770\right|,2780 \le L_{uckGrade}<2790:3.01+0\left|L_{uckGrade}-2780\right|,2790 \le L_{uckGrade}<2800:3.014+0.001\left|L_{uckGrade}-2790\right|,2800 \le L_{uckGrade}<2810:3.019+0\left|L_{uckGrade}-2800\right|,2810 \le L_{uckGrade}<2820:3.023+0\left|L_{uckGrade}-2810\right|,2820 \le L_{uckGrade}<2840:3.028+0\left|L_{uckGrade}-2820\right|,2840 \le L_{uckGrade}<2850:3.036+0\left|L_{uckGrade}-2840\right|,2850 \le L_{uckGrade}<2880:3.041+0\left|L_{uckGrade}-2850\right|,2880 \le L_{uckGrade}<2890:3.053+0\left|L_{uckGrade}-2880\right|,2890 \le L_{uckGrade}<2930:3.058+0\left|L_{uckGrade}-2890\right|,2930 \le L_{uckGrade}<2940:3.074+0.001\left|L_{uckGrade}-2930\right|,2940 \le L_{uckGrade}<3070:3.079+0\left|L_{uckGrade}-2940\right|,3070 \le L_{uckGrade}<3080:3.131+0\left|L_{uckGrade}-3070\right|,3080 \le L_{uckGrade}<3120:3.134+0\left|L_{uckGrade}-3080\right|,3120 \le L_{uckGrade}<3130:3.15+0\left|L_{uckGrade}-3120\right|,3130 \le L_{uckGrade}<3160:3.153+0\left|L_{uckGrade}-3130\right|,3160 \le L_{uckGrade}<3170:3.165+0\left|L_{uckGrade}-3160\right|,3170 \le L_{uckGrade}<3190:3.168+0\left|L_{uckGrade}-3170\right|,3190 \le L_{uckGrade}<3200:3.176+0\left|L_{uckGrade}-3190\right|,3200 \le L_{uckGrade}<3210:3.179+0\left|L_{uckGrade}-3200\right|,3210 \le L_{uckGrade}<3220:3.183+0\left|L_{uckGrade}-3210\right|,3220 \le L_{uckGrade}<3230:3.186+0\left|L_{uckGrade}-3220\right|,3230 \le L_{uckGrade}<3240:3.19+0\left|L_{uckGrade}-3230\right|,3240 \le L_{uckGrade}<3260:3.193+0\left|L_{uckGrade}-3240\right|,3260 \le L_{uckGrade}<3280:3.201+0\left|L_{uckGrade}-3260\right|,3280 \le L_{uckGrade}<3290:3.207+0\left|L_{uckGrade}-3280\right|,3290 \le L_{uckGrade}<3300:3.211+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3310:3.214+0\left|L_{uckGrade}-3300\right|,3310 \le L_{uckGrade}<3330:3.218+0\left|L_{uckGrade}-3310\right|,3330 \le L_{uckGrade}<3340:3.224+0\left|L_{uckGrade}-3330\right|,3340 \le L_{uckGrade}<3360:3.228+0\left|L_{uckGrade}-3340\right|,3360 \le L_{uckGrade}<3370:3.234+0\left|L_{uckGrade}-3360\right|,3370 \le L_{uckGrade}<3400:3.238+0\left|L_{uckGrade}-3370\right|,3400 \le L_{uckGrade}<3410:3.247+0\left|L_{uckGrade}-3400\right|,3410 \le L_{uckGrade}<3490:3.251+0\left|L_{uckGrade}-3410\right|,3490 \le L_{uckGrade}<3500:3.275+0\left|L_{uckGrade}-3490\right|,3500 \le L_{uckGrade}<3510:3.279+0\left|L_{uckGrade}-3500\right|,3510 \le L_{uckGrade}<3520:3.282+0\left|L_{uckGrade}-3510\right|,3520 \le L_{uckGrade}<3600:3.284+0\left|L_{uckGrade}-3520\right|,3600 \le L_{uckGrade}<3610:3.308+0\left|L_{uckGrade}-3600\right|,3610 \le L_{uckGrade}<3640:3.31+0\left|L_{uckGrade}-3610\right|,3640 \le L_{uckGrade}<3650:3.319+0\left|L_{uckGrade}-3640\right|,3650 \le L_{uckGrade}<3670:3.321+0\left|L_{uckGrade}-3650\right|,3670 \le L_{uckGrade}<3680:3.327+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3700:3.329+0\left|L_{uckGrade}-3680\right|,3700 \le L_{uckGrade}<3710:3.335+0\left|L_{uckGrade}-3700\right|,3710 \le L_{uckGrade}<3720:3.337+0\left|L_{uckGrade}-3710\right|,3720 \le L_{uckGrade}<3730:3.34+0\left|L_{uckGrade}-3720\right|,3730 \le L_{uckGrade}<3750:3.342+0\left|L_{uckGrade}-3730\right|,3750 \le L_{uckGrade}<3770:3.348+0\left|L_{uckGrade}-3750\right|,3770 \le L_{uckGrade}<3780:3.352+0\left|L_{uckGrade}-3770\right|,3780 \le L_{uckGrade}<3790:3.355+0\left|L_{uckGrade}-3780\right|,3790 \le L_{uckGrade}<3800:3.357+0\left|L_{uckGrade}-3790\right|,3800 \le L_{uckGrade}<3810:3.36+0\left|L_{uckGrade}-3800\right|,3810 \le L_{uckGrade}<3820:3.362+0\left|L_{uckGrade}-3810\right|,3820 \le L_{uckGrade}<3840:3.365+0\left|L_{uckGrade}-3820\right|,3840 \le L_{uckGrade}<3850:3.369+0\left|L_{uckGrade}-3840\right|,3850 \le L_{uckGrade}<3880:3.372+0\left|L_{uckGrade}-3850\right|,3880 \le L_{uckGrade}<3890:3.378+0\left|L_{uckGrade}-3880\right|,3890 \le L_{uckGrade}<3930:3.381+0\left|L_{uckGrade}-3890\right|,3930 \le L_{uckGrade}<3940:3.389+0\left|L_{uckGrade}-3930\right|,3940 \le L_{uckGrade}<4070:3.392+0\left|L_{uckGrade}-3940\right|,4070 \le L_{uckGrade}<4080:3.418+0\left|L_{uckGrade}-4070\right|,4080 \le L_{uckGrade}<4120:3.419+0\left|L_{uckGrade}-4080\right|,4120 \le L_{uckGrade}<4130:3.427+0\left|L_{uckGrade}-4120\right|,4130 \le L_{uckGrade}<4160:3.428+0\left|L_{uckGrade}-4130\right|,4160 \le L_{uckGrade}<4170:3.434+0\left|L_{uckGrade}-4160\right|,4170 \le L_{uckGrade}<4190:3.435+0\left|L_{uckGrade}-4170\right|,4190 \le L_{uckGrade}<4200:3.439+0\left|L_{uckGrade}-4190\right|,4200 \le L_{uckGrade}<4210:3.44+0\left|L_{uckGrade}-4200\right|,4210 \le L_{uckGrade}<4220:3.442+0\left|L_{uckGrade}-4210\right|,4220 \le L_{uckGrade}<4230:3.443+0\left|L_{uckGrade}-4220\right|,4230 \le L_{uckGrade}<4240:3.445+0\left|L_{uckGrade}-4230\right|,4240 \le L_{uckGrade}<4260:3.446+0\left|L_{uckGrade}-4240\right|,4260 \le L_{uckGrade}<4280:3.45+0\left|L_{uckGrade}-4260\right|,4280 \le L_{uckGrade}<4290:3.452+0\left|L_{uckGrade}-4280\right|,4290 \le L_{uckGrade}<4300:3.454+0\left|L_{uckGrade}-4290\right|,4300 \le L_{uckGrade}<4310:3.455+0\left|L_{uckGrade}-4300\right|,4310 \le L_{uckGrade}<4330:3.457+0\left|L_{uckGrade}-4310\right|,4330 \le L_{uckGrade}<4340:3.459+0\left|L_{uckGrade}-4330\right|,4340 \le L_{uckGrade}<4360:3.461+0\left|L_{uckGrade}-4340\right|,4360 \le L_{uckGrade}<4370:3.463+0\left|L_{uckGrade}-4360\right|,4370 \le L_{uckGrade}<4400:3.465+0\left|L_{uckGrade}-4370\right|,4400 \le L_{uckGrade}<4410:3.468+0\left|L_{uckGrade}-4400\right|,4410 \le L_{uckGrade}<4490:3.47+0\left|L_{uckGrade}-4410\right|,4490 \le L_{uckGrade}<4500:3.478+0\left|L_{uckGrade}-4490\right|,4500 \le L_{uckGrade}<4510:3.48+0\left|L_{uckGrade}-4500\right|,4510 \le L_{uckGrade}<4520:3.481+0\left|L_{uckGrade}-4510\right|,4520 \le L_{uckGrade}<4600:3.481+0\left|L_{uckGrade}-4520\right|,4600 \le L_{uckGrade}<4610:3.489+0\left|L_{uckGrade}-4600\right|,4610 \le L_{uckGrade}<4640:3.489+0\left|L_{uckGrade}-4610\right|,4640 \le L_{uckGrade}<4650:3.492+0\left|L_{uckGrade}-4640\right|,4650 \le L_{uckGrade}<4670:3.492+0\left|L_{uckGrade}-4650\right|,4670 \le L_{uckGrade}<4680:3.494+0\left|L_{uckGrade}-4670\right|,4680 \le L_{uckGrade}<4700:3.494+0\left|L_{uckGrade}-4680\right|,4700 \le L_{uckGrade}<4710:3.496+0\left|L_{uckGrade}-4700\right|,4710 \le L_{uckGrade}<4720:3.496+0\left|L_{uckGrade}-4710\right|,4720 \le L_{uckGrade}<4730:3.497+0\left|L_{uckGrade}-4720\right|,4730 \le L_{uckGrade}<4750:3.497+0\left|L_{uckGrade}-4730\right|,4750 \le L_{uckGrade}<4770:3.499+0\left|L_{uckGrade}-4750\right|,4770 \le L_{uckGrade}<4780:3.499+0\left|L_{uckGrade}-4770\right|,4780 \le L_{uckGrade}<4790:3.5+0\left|L_{uckGrade}-4780\right|,4790 \le L_{uckGrade}<4800:3.5+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4810:3.501+0\left|L_{uckGrade}-4800\right|,4810 \le L_{uckGrade}<4820:3.501+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4840:3.502+0\left|L_{uckGrade}-4820\right|,4840 \le L_{uckGrade}<4850:3.502+0\left|L_{uckGrade}-4840\right|,4850 \le L_{uckGrade}<4880:3.503+0\left|L_{uckGrade}-4850\right|,4880 \le L_{uckGrade}<4890:3.503+0\left|L_{uckGrade}-4880\right|,4890 \le L_{uckGrade}<4930:3.504+0\left|L_{uckGrade}-4890\right|,4930 \le L_{uckGrade}<4940:3.504+0\left|L_{uckGrade}-4930\right|,4940 \le L_{uckGrade}<5000:3.505+0\left|L_{uckGrade}-4940\right|\right\}

See Example for how to use.

LaTeX Formula

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L_{uckGrade05}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<10:1+0.001\left|L_{uckGrade}-0\right|,10 \le L_{uckGrade}<30:1.012+0.001\left|L_{uckGrade}-10\right|,30 \le L_{uckGrade}<40:1.034+0.001\left|L_{uckGrade}-30\right|,40 \le L_{uckGrade}<50:1.046+0.001\left|L_{uckGrade}-40\right|,50 \le L_{uckGrade}<60:1.057+0.001\left|L_{uckGrade}-50\right|,60 \le L_{uckGrade}<80:1.069+0.001\left|L_{uckGrade}-60\right|,80 \le L_{uckGrade}<90:1.091+0.001\left|L_{uckGrade}-80\right|,90 \le L_{uckGrade}<120:1.103+0.001\left|L_{uckGrade}-90\right|,120 \le L_{uckGrade}<130:1.136+0.001\left|L_{uckGrade}-120\right|,130 \le L_{uckGrade}<180:1.148+0.001\left|L_{uckGrade}-130\right|,180 \le L_{uckGrade}<190:1.203+0.001\left|L_{uckGrade}-180\right|,190 \le L_{uckGrade}<260:1.215+0.001\left|L_{uckGrade}-190\right|,260 \le L_{uckGrade}<270:1.292+0.001\left|L_{uckGrade}-260\right|,270 \le L_{uckGrade}<320:1.302+0.001\left|L_{uckGrade}-270\right|,320 \le L_{uckGrade}<330:1.357+0.001\left|L_{uckGrade}-320\right|,330 \le L_{uckGrade}<360:1.367+0.001\left|L_{uckGrade}-330\right|,360 \le L_{uckGrade}<370:1.4+0.001\left|L_{uckGrade}-360\right|,370 \le L_{uckGrade}<380:1.41+0.001\left|L_{uckGrade}-370\right|,380 \le L_{uckGrade}<390:1.421+0.001\left|L_{uckGrade}-380\right|,390 \le L_{uckGrade}<410:1.431+0.001\left|L_{uckGrade}-390\right|,410 \le L_{uckGrade}<420:1.453+0.001\left|L_{uckGrade}-410\right|,420 \le L_{uckGrade}<430:1.463+0.001\left|L_{uckGrade}-420\right|,430 \le L_{uckGrade}<440:1.474+0.001\left|L_{uckGrade}-430\right|,440 \le L_{uckGrade}<450:1.484+0.001\left|L_{uckGrade}-440\right|,450 \le L_{uckGrade}<460:1.495+0.001\left|L_{uckGrade}-450\right|,460 \le L_{uckGrade}<470:1.505+0.001\left|L_{uckGrade}-460\right|,470 \le L_{uckGrade}<490:1.516+0.001\left|L_{uckGrade}-470\right|,490 \le L_{uckGrade}<500:1.536+0.001\left|L_{uckGrade}-490\right|,500 \le L_{uckGrade}<510:1.547+0.001\left|L_{uckGrade}-500\right|,510 \le L_{uckGrade}<520:1.557+0.001\left|L_{uckGrade}-510\right|,520 \le L_{uckGrade}<550:1.568+0.001\left|L_{uckGrade}-520\right|,550 \le L_{uckGrade}<560:1.598+0.001\left|L_{uckGrade}-550\right|,560 \le L_{uckGrade}<610:1.609+0.001\left|L_{uckGrade}-560\right|,610 \le L_{uckGrade}<620:1.659+0.001\left|L_{uckGrade}-610\right|,620 \le L_{uckGrade}<690:1.67+0.001\left|L_{uckGrade}-620\right|,690 \le L_{uckGrade}<700:1.74+0.001\left|L_{uckGrade}-690\right|,700 \le L_{uckGrade}<750:1.749+0.001\left|L_{uckGrade}-700\right|,750 \le L_{uckGrade}<760:1.799+0.001\left|L_{uckGrade}-750\right|,760 \le L_{uckGrade}<790:1.808+0.001\left|L_{uckGrade}-760\right|,790 \le L_{uckGrade}<800:1.838+0.001\left|L_{uckGrade}-790\right|,800 \le L_{uckGrade}<820:1.847+0.001\left|L_{uckGrade}-800\right|,820 \le L_{uckGrade}<830:1.867+0.001\left|L_{uckGrade}-820\right|,830 \le L_{uckGrade}<840:1.876+0.001\left|L_{uckGrade}-830\right|,840 \le L_{uckGrade}<850:1.886+0.001\left|L_{uckGrade}-840\right|,850 \le L_{uckGrade}<860:1.895+0.001\left|L_{uckGrade}-850\right|,860 \le L_{uckGrade}<870:1.905+0.001\left|L_{uckGrade}-860\right|,870 \le L_{uckGrade}<880:1.914+0.001\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<890:1.924+0.001\left|L_{uckGrade}-880\right|,890 \le L_{uckGrade}<900:1.933+0.001\left|L_{uckGrade}-890\right|,900 \le L_{uckGrade}<910:1.943+0.001\left|L_{uckGrade}-900\right|,910 \le L_{uckGrade}<920:1.952+0.001\left|L_{uckGrade}-910\right|,920 \le L_{uckGrade}<940:1.962+0.001\left|L_{uckGrade}-920\right|,940 \le L_{uckGrade}<950:1.98+0.001\left|L_{uckGrade}-940\right|,950 \le L_{uckGrade}<970:1.99+0.001\left|L_{uckGrade}-950\right|,970 \le L_{uckGrade}<980:2.008+0.001\left|L_{uckGrade}-970\right|,980 \le L_{uckGrade}<1010:2.018+0.001\left|L_{uckGrade}-980\right|,1010 \le L_{uckGrade}<1020:2.045+0.001\left|L_{uckGrade}-1010\right|,1020 \le L_{uckGrade}<1160:2.055+0.001\left|L_{uckGrade}-1020\right|,1160 \le L_{uckGrade}<1170:2.181+0.001\left|L_{uckGrade}-1160\right|,1170 \le L_{uckGrade}<1210:2.189+0.001\left|L_{uckGrade}-1170\right|,1210 \le L_{uckGrade}<1220:2.225+0.001\left|L_{uckGrade}-1210\right|,1220 \le L_{uckGrade}<1240:2.233+0.001\left|L_{uckGrade}-1220\right|,1240 \le L_{uckGrade}<1250:2.251+0.001\left|L_{uckGrade}-1240\right|,1250 \le L_{uckGrade}<1260:2.259+0.001\left|L_{uckGrade}-1250\right|,1260 \le L_{uckGrade}<1270:2.268+0.001\left|L_{uckGrade}-1260\right|,1270 \le L_{uckGrade}<1290:2.276+0.001\left|L_{uckGrade}-1270\right|,1290 \le L_{uckGrade}<1300:2.294+0.001\left|L_{uckGrade}-1290\right|,1300 \le L_{uckGrade}<1310:2.302+0.001\left|L_{uckGrade}-1300\right|,1310 \le L_{uckGrade}<1320:2.311+0.001\left|L_{uckGrade}-1310\right|,1320 \le L_{uckGrade}<1330:2.319+0.001\left|L_{uckGrade}-1320\right|,1330 \le L_{uckGrade}<1350:2.328+0.001\left|L_{uckGrade}-1330\right|,1350 \le L_{uckGrade}<1360:2.344+0.001\left|L_{uckGrade}-1350\right|,1360 \le L_{uckGrade}<1370:2.353+0.001\left|L_{uckGrade}-1360\right|,1370 \le L_{uckGrade}<1380:2.361+0.001\left|L_{uckGrade}-1370\right|,1380 \le L_{uckGrade}<1410:2.37+0.001\left|L_{uckGrade}-1380\right|,1410 \le L_{uckGrade}<1420:2.394+0.001\left|L_{uckGrade}-1410\right|,1420 \le L_{uckGrade}<1450:2.403+0.001\left|L_{uckGrade}-1420\right|,1450 \le L_{uckGrade}<1460:2.427+0.001\left|L_{uckGrade}-1450\right|,1460 \le L_{uckGrade}<1590:2.436+0.001\left|L_{uckGrade}-1460\right|,1590 \le L_{uckGrade}<1600:2.54+0.001\left|L_{uckGrade}-1590\right|,1600 \le L_{uckGrade}<1640:2.547+0.001\left|L_{uckGrade}-1600\right|,1640 \le L_{uckGrade}<1650:2.579+0.001\left|L_{uckGrade}-1640\right|,1650 \le L_{uckGrade}<1670:2.586+0.001\left|L_{uckGrade}-1650\right|,1670 \le L_{uckGrade}<1680:2.602+0.001\left|L_{uckGrade}-1670\right|,1680 \le L_{uckGrade}<1700:2.609+0.001\left|L_{uckGrade}-1680\right|,1700 \le L_{uckGrade}<1710:2.625+0.001\left|L_{uckGrade}-1700\right|,1710 \le L_{uckGrade}<1720:2.632+0.001\left|L_{uckGrade}-1710\right|,1720 \le L_{uckGrade}<1730:2.64+0.001\left|L_{uckGrade}-1720\right|,1730 \le L_{uckGrade}<1740:2.647+0.001\left|L_{uckGrade}-1730\right|,1740 \le L_{uckGrade}<1750:2.655+0.001\left|L_{uckGrade}-1740\right|,1750 \le L_{uckGrade}<1760:2.662+0.001\left|L_{uckGrade}-1750\right|,1760 \le L_{uckGrade}<1770:2.67+0.001\left|L_{uckGrade}-1760\right|,1770 \le L_{uckGrade}<1780:2.677+0.001\left|L_{uckGrade}-1770\right|,1780 \le L_{uckGrade}<1800:2.685+0.001\left|L_{uckGrade}-1780\right|,1800 \le L_{uckGrade}<1810:2.699+0.001\left|L_{uckGrade}-1800\right|,1810 \le L_{uckGrade}<1830:2.707+0.001\left|L_{uckGrade}-1810\right|,1830 \le L_{uckGrade}<1840:2.721+0.001\left|L_{uckGrade}-1830\right|,1840 \le L_{uckGrade}<1860:2.729+0.001\left|L_{uckGrade}-1840\right|,1860 \le L_{uckGrade}<1870:2.743+0.001\left|L_{uckGrade}-1860\right|,1870 \le L_{uckGrade}<2050:2.751+0.001\left|L_{uckGrade}-1870\right|,2050 \le L_{uckGrade}<2060:2.877+0.001\left|L_{uckGrade}-2050\right|,2060 \le L_{uckGrade}<2090:2.883+0.001\left|L_{uckGrade}-2060\right|,2090 \le L_{uckGrade}<2100:2.904+0.001\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2120:2.91+0.001\left|L_{uckGrade}-2100\right|,2120 \le L_{uckGrade}<2130:2.924+0.001\left|L_{uckGrade}-2120\right|,2130 \le L_{uckGrade}<2140:2.93+0.001\left|L_{uckGrade}-2130\right|,2140 \le L_{uckGrade}<2150:2.937+0.001\left|L_{uckGrade}-2140\right|,2150 \le L_{uckGrade}<2160:2.943+0.001\left|L_{uckGrade}-2150\right|,2160 \le L_{uckGrade}<2170:2.95+0.001\left|L_{uckGrade}-2160\right|,2170 \le L_{uckGrade}<2180:2.956+0.001\left|L_{uckGrade}-2170\right|,2180 \le L_{uckGrade}<2190:2.963+0.001\left|L_{uckGrade}-2180\right|,2190 \le L_{uckGrade}<2200:2.969+0.001\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2210:2.976+0.001\left|L_{uckGrade}-2200\right|,2210 \le L_{uckGrade}<2220:2.982+0.001\left|L_{uckGrade}-2210\right|,2220 \le L_{uckGrade}<2230:2.989+0.001\left|L_{uckGrade}-2220\right|,2230 \le L_{uckGrade}<2240:2.995+0.001\left|L_{uckGrade}-2230\right|,2240 \le L_{uckGrade}<2260:3.002+0.001\left|L_{uckGrade}-2240\right|,2260 \le L_{uckGrade}<2270:3.014+0.001\left|L_{uckGrade}-2260\right|,2270 \le L_{uckGrade}<2300:3.021+0.001\left|L_{uckGrade}-2270\right|,2300 \le L_{uckGrade}<2310:3.039+0.001\left|L_{uckGrade}-2300\right|,2310 \le L_{uckGrade}<2480:3.046+0.001\left|L_{uckGrade}-2310\right|,2480 \le L_{uckGrade}<2490:3.148+0\left|L_{uckGrade}-2480\right|,2490 \le L_{uckGrade}<2520:3.153+0.001\left|L_{uckGrade}-2490\right|,2520 \le L_{uckGrade}<2530:3.171+0.001\left|L_{uckGrade}-2520\right|,2530 \le L_{uckGrade}<2550:3.176+0.001\left|L_{uckGrade}-2530\right|,2550 \le L_{uckGrade}<2560:3.188+0\left|L_{uckGrade}-2550\right|,2560 \le L_{uckGrade}<2570:3.193+0.001\left|L_{uckGrade}-2560\right|,2570 \le L_{uckGrade}<2580:3.199+0.001\left|L_{uckGrade}-2570\right|,2580 \le L_{uckGrade}<2600:3.204+0.001\left|L_{uckGrade}-2580\right|,2600 \le L_{uckGrade}<2610:3.216+0\left|L_{uckGrade}-2600\right|,2610 \le L_{uckGrade}<2620:3.221+0.001\left|L_{uckGrade}-2610\right|,2620 \le L_{uckGrade}<2630:3.227+0.001\left|L_{uckGrade}-2620\right|,2630 \le L_{uckGrade}<2640:3.232+0.001\left|L_{uckGrade}-2630\right|,2640 \le L_{uckGrade}<2660:3.238+0.001\left|L_{uckGrade}-2640\right|,2660 \le L_{uckGrade}<2670:3.248+0.001\left|L_{uckGrade}-2660\right|,2670 \le L_{uckGrade}<2690:3.254+0\left|L_{uckGrade}-2670\right|,2690 \le L_{uckGrade}<2700:3.264+0.001\left|L_{uckGrade}-2690\right|,2700 \le L_{uckGrade}<2720:3.27+0\left|L_{uckGrade}-2700\right|,2720 \le L_{uckGrade}<2730:3.28+0.001\left|L_{uckGrade}-2720\right|,2730 \le L_{uckGrade}<2780:3.286+0\left|L_{uckGrade}-2730\right|,2780 \le L_{uckGrade}<2790:3.311+0.001\left|L_{uckGrade}-2780\right|,2790 \le L_{uckGrade}<2870:3.317+0.001\left|L_{uckGrade}-2790\right|,2870 \le L_{uckGrade}<2880:3.357+0\left|L_{uckGrade}-2870\right|,2880 \le L_{uckGrade}<2930:3.361+0\left|L_{uckGrade}-2880\right|,2930 \le L_{uckGrade}<2940:3.386+0\left|L_{uckGrade}-2930\right|,2940 \le L_{uckGrade}<2970:3.39+0\left|L_{uckGrade}-2940\right|,2970 \le L_{uckGrade}<2980:3.405+0\left|L_{uckGrade}-2970\right|,2980 \le L_{uckGrade}<2990:3.409+0.001\left|L_{uckGrade}-2980\right|,2990 \le L_{uckGrade}<3000:3.414+0\left|L_{uckGrade}-2990\right|,3000 \le L_{uckGrade}<3020:3.418+0\left|L_{uckGrade}-3000\right|,3020 \le L_{uckGrade}<3030:3.428+0\left|L_{uckGrade}-3020\right|,3030 \le L_{uckGrade}<3040:3.432+0\left|L_{uckGrade}-3030\right|,3040 \le L_{uckGrade}<3050:3.437+0\left|L_{uckGrade}-3040\right|,3050 \le L_{uckGrade}<3060:3.441+0.001\left|L_{uckGrade}-3050\right|,3060 \le L_{uckGrade}<3070:3.446+0\left|L_{uckGrade}-3060\right|,3070 \le L_{uckGrade}<3080:3.45+0\left|L_{uckGrade}-3070\right|,3080 \le L_{uckGrade}<3100:3.455+0\left|L_{uckGrade}-3080\right|,3100 \le L_{uckGrade}<3110:3.463+0\left|L_{uckGrade}-3100\right|,3110 \le L_{uckGrade}<3130:3.468+0\left|L_{uckGrade}-3110\right|,3130 \le L_{uckGrade}<3140:3.476+0\left|L_{uckGrade}-3130\right|,3140 \le L_{uckGrade}<3160:3.481+0\left|L_{uckGrade}-3140\right|,3160 \le L_{uckGrade}<3170:3.489+0.001\left|L_{uckGrade}-3160\right|,3170 \le L_{uckGrade}<3230:3.494+0\left|L_{uckGrade}-3170\right|,3230 \le L_{uckGrade}<3240:3.518+0.001\left|L_{uckGrade}-3230\right|,3240 \le L_{uckGrade}<3290:3.523+0\left|L_{uckGrade}-3240\right|,3290 \le L_{uckGrade}<3300:3.543+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3360:3.546+0\left|L_{uckGrade}-3300\right|,3360 \le L_{uckGrade}<3370:3.57+0\left|L_{uckGrade}-3360\right|,3370 \le L_{uckGrade}<3400:3.573+0\left|L_{uckGrade}-3370\right|,3400 \le L_{uckGrade}<3410:3.585+0\left|L_{uckGrade}-3400\right|,3410 \le L_{uckGrade}<3420:3.588+0\left|L_{uckGrade}-3410\right|,3420 \le L_{uckGrade}<3430:3.592+0\left|L_{uckGrade}-3420\right|,3430 \le L_{uckGrade}<3450:3.595+0\left|L_{uckGrade}-3430\right|,3450 \le L_{uckGrade}<3460:3.603+0\left|L_{uckGrade}-3450\right|,3460 \le L_{uckGrade}<3470:3.606+0\left|L_{uckGrade}-3460\right|,3470 \le L_{uckGrade}<3480:3.61+0\left|L_{uckGrade}-3470\right|,3480 \le L_{uckGrade}<3490:3.613+0\left|L_{uckGrade}-3480\right|,3490 \le L_{uckGrade}<3500:3.617+0\left|L_{uckGrade}-3490\right|,3500 \le L_{uckGrade}<3510:3.62+0\left|L_{uckGrade}-3500\right|,3510 \le L_{uckGrade}<3520:3.624+0\left|L_{uckGrade}-3510\right|,3520 \le L_{uckGrade}<3530:3.627+0\left|L_{uckGrade}-3520\right|,3530 \le L_{uckGrade}<3550:3.631+0\left|L_{uckGrade}-3530\right|,3550 \le L_{uckGrade}<3560:3.637+0\left|L_{uckGrade}-3550\right|,3560 \le L_{uckGrade}<3590:3.641+0\left|L_{uckGrade}-3560\right|,3590 \le L_{uckGrade}<3600:3.65+0\left|L_{uckGrade}-3590\right|,3600 \le L_{uckGrade}<3640:3.654+0\left|L_{uckGrade}-3600\right|,3640 \le L_{uckGrade}<3650:3.666+0\left|L_{uckGrade}-3640\right|,3650 \le L_{uckGrade}<3760:3.67+0\left|L_{uckGrade}-3650\right|,3760 \le L_{uckGrade}<3770:3.703+0\left|L_{uckGrade}-3760\right|,3770 \le L_{uckGrade}<3810:3.705+0\left|L_{uckGrade}-3770\right|,3810 \le L_{uckGrade}<3820:3.717+0\left|L_{uckGrade}-3810\right|,3820 \le L_{uckGrade}<3840:3.719+0\left|L_{uckGrade}-3820\right|,3840 \le L_{uckGrade}<3850:3.725+0\left|L_{uckGrade}-3840\right|,3850 \le L_{uckGrade}<3870:3.727+0\left|L_{uckGrade}-3850\right|,3870 \le L_{uckGrade}<3880:3.733+0\left|L_{uckGrade}-3870\right|,3880 \le L_{uckGrade}<3890:3.735+0\left|L_{uckGrade}-3880\right|,3890 \le L_{uckGrade}<3900:3.738+0\left|L_{uckGrade}-3890\right|,3900 \le L_{uckGrade}<3910:3.74+0\left|L_{uckGrade}-3900\right|,3910 \le L_{uckGrade}<3920:3.743+0\left|L_{uckGrade}-3910\right|,3920 \le L_{uckGrade}<3930:3.745+0\left|L_{uckGrade}-3920\right|,3930 \le L_{uckGrade}<3940:3.748+0\left|L_{uckGrade}-3930\right|,3940 \le L_{uckGrade}<3950:3.75+0\left|L_{uckGrade}-3940\right|,3950 \le L_{uckGrade}<3960:3.753+0\left|L_{uckGrade}-3950\right|,3960 \le L_{uckGrade}<3970:3.755+0\left|L_{uckGrade}-3960\right|,3970 \le L_{uckGrade}<3990:3.758+0\left|L_{uckGrade}-3970\right|,3990 \le L_{uckGrade}<4000:3.762+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4030:3.765+0\left|L_{uckGrade}-4000\right|,4030 \le L_{uckGrade}<4040:3.771+0\left|L_{uckGrade}-4030\right|,4040 \le L_{uckGrade}<4090:3.774+0\left|L_{uckGrade}-4040\right|,4090 \le L_{uckGrade}<4100:3.784+0\left|L_{uckGrade}-4090\right|,4100 \le L_{uckGrade}<4170:3.787+0\left|L_{uckGrade}-4100\right|,4170 \le L_{uckGrade}<4180:3.801+0\left|L_{uckGrade}-4170\right|,4180 \le L_{uckGrade}<4230:3.802+0\left|L_{uckGrade}-4180\right|,4230 \le L_{uckGrade}<4240:3.812+0\left|L_{uckGrade}-4230\right|,4240 \le L_{uckGrade}<4270:3.813+0\left|L_{uckGrade}-4240\right|,4270 \le L_{uckGrade}<4280:3.819+0\left|L_{uckGrade}-4270\right|,4280 \le L_{uckGrade}<4300:3.82+0\left|L_{uckGrade}-4280\right|,4300 \le L_{uckGrade}<4310:3.824+0\left|L_{uckGrade}-4300\right|,4310 \le L_{uckGrade}<4320:3.825+0\left|L_{uckGrade}-4310\right|,4320 \le L_{uckGrade}<4330:3.827+0\left|L_{uckGrade}-4320\right|,4330 \le L_{uckGrade}<4340:3.828+0\left|L_{uckGrade}-4330\right|,4340 \le L_{uckGrade}<4350:3.83+0\left|L_{uckGrade}-4340\right|,4350 \le L_{uckGrade}<4360:3.831+0\left|L_{uckGrade}-4350\right|,4360 \le L_{uckGrade}<4370:3.833+0\left|L_{uckGrade}-4360\right|,4370 \le L_{uckGrade}<4380:3.834+0\left|L_{uckGrade}-4370\right|,4380 \le L_{uckGrade}<4390:3.836+0\left|L_{uckGrade}-4380\right|,4390 \le L_{uckGrade}<4400:3.837+0\left|L_{uckGrade}-4390\right|,4400 \le L_{uckGrade}<4420:3.839+0\left|L_{uckGrade}-4400\right|,4420 \le L_{uckGrade}<4430:3.841+0\left|L_{uckGrade}-4420\right|,4430 \le L_{uckGrade}<4450:3.843+0\left|L_{uckGrade}-4430\right|,4450 \le L_{uckGrade}<4460:3.845+0\left|L_{uckGrade}-4450\right|,4460 \le L_{uckGrade}<4500:3.847+0\left|L_{uckGrade}-4460\right|,4500 \le L_{uckGrade}<4510:3.851+0\left|L_{uckGrade}-4500\right|,4510 \le L_{uckGrade}<4630:3.853+0\left|L_{uckGrade}-4510\right|,4630 \le L_{uckGrade}<4640:3.865+0\left|L_{uckGrade}-4630\right|,4640 \le L_{uckGrade}<4680:3.865+0\left|L_{uckGrade}-4640\right|,4680 \le L_{uckGrade}<4690:3.869+0\left|L_{uckGrade}-4680\right|,4690 \le L_{uckGrade}<4710:3.869+0\left|L_{uckGrade}-4690\right|,4710 \le L_{uckGrade}<4720:3.871+0\left|L_{uckGrade}-4710\right|,4720 \le L_{uckGrade}<4740:3.871+0\left|L_{uckGrade}-4720\right|,4740 \le L_{uckGrade}<4750:3.873+0\left|L_{uckGrade}-4740\right|,4750 \le L_{uckGrade}<4760:3.873+0\left|L_{uckGrade}-4750\right|,4760 \le L_{uckGrade}<4770:3.874+0\left|L_{uckGrade}-4760\right|,4770 \le L_{uckGrade}<4780:3.874+0\left|L_{uckGrade}-4770\right|,4780 \le L_{uckGrade}<4790:3.875+0\left|L_{uckGrade}-4780\right|,4790 \le L_{uckGrade}<4800:3.875+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4810:3.876+0\left|L_{uckGrade}-4800\right|,4810 \le L_{uckGrade}<4820:3.876+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4830:3.877+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4840:3.877+0\left|L_{uckGrade}-4830\right|,4840 \le L_{uckGrade}<4860:3.878+0\left|L_{uckGrade}-4840\right|,4860 \le L_{uckGrade}<4870:3.878+0\left|L_{uckGrade}-4860\right|,4870 \le L_{uckGrade}<4900:3.879+0\left|L_{uckGrade}-4870\right|,4900 \le L_{uckGrade}<4910:3.879+0\left|L_{uckGrade}-4900\right|,4910 \le L_{uckGrade}<4950:3.88+0\left|L_{uckGrade}-4910\right|,4950 \le L_{uckGrade}<4960:3.88+0\left|L_{uckGrade}-4950\right|,4960 \le L_{uckGrade}<5000:3.881+0\left|L_{uckGrade}-4960\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade06}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<60:1+0.001\left|L_{uckGrade}-0\right|,60 \le L_{uckGrade}<70:1.078+0.001\left|L_{uckGrade}-60\right|,70 \le L_{uckGrade}<110:1.09+0.001\left|L_{uckGrade}-70\right|,110 \le L_{uckGrade}<120:1.142+0.001\left|L_{uckGrade}-110\right|,120 \le L_{uckGrade}<140:1.154+0.001\left|L_{uckGrade}-120\right|,140 \le L_{uckGrade}<150:1.18+0.001\left|L_{uckGrade}-140\right|,150 \le L_{uckGrade}<160:1.192+0.001\left|L_{uckGrade}-150\right|,160 \le L_{uckGrade}<170:1.205+0.001\left|L_{uckGrade}-160\right|,170 \le L_{uckGrade}<190:1.217+0.001\left|L_{uckGrade}-170\right|,190 \le L_{uckGrade}<200:1.243+0.001\left|L_{uckGrade}-190\right|,200 \le L_{uckGrade}<210:1.255+0.001\left|L_{uckGrade}-200\right|,210 \le L_{uckGrade}<230:1.268+0.001\left|L_{uckGrade}-210\right|,230 \le L_{uckGrade}<240:1.292+0.001\left|L_{uckGrade}-230\right|,240 \le L_{uckGrade}<250:1.305+0.001\left|L_{uckGrade}-240\right|,250 \le L_{uckGrade}<260:1.317+0.001\left|L_{uckGrade}-250\right|,260 \le L_{uckGrade}<290:1.33+0.001\left|L_{uckGrade}-260\right|,290 \le L_{uckGrade}<300:1.366+0.001\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<340:1.379+0.001\left|L_{uckGrade}-300\right|,340 \le L_{uckGrade}<350:1.427+0.001\left|L_{uckGrade}-340\right|,350 \le L_{uckGrade}<430:1.44+0.001\left|L_{uckGrade}-350\right|,430 \le L_{uckGrade}<440:1.536+0.001\left|L_{uckGrade}-430\right|,440 \le L_{uckGrade}<480:1.547+0.001\left|L_{uckGrade}-440\right|,480 \le L_{uckGrade}<490:1.595+0.001\left|L_{uckGrade}-480\right|,490 \le L_{uckGrade}<520:1.606+0.001\left|L_{uckGrade}-490\right|,520 \le L_{uckGrade}<530:1.642+0.001\left|L_{uckGrade}-520\right|,530 \le L_{uckGrade}<540:1.653+0.001\left|L_{uckGrade}-530\right|,540 \le L_{uckGrade}<550:1.665+0.001\left|L_{uckGrade}-540\right|,550 \le L_{uckGrade}<570:1.676+0.001\left|L_{uckGrade}-550\right|,570 \le L_{uckGrade}<580:1.7+0.001\left|L_{uckGrade}-570\right|,580 \le L_{uckGrade}<590:1.711+0.001\left|L_{uckGrade}-580\right|,590 \le L_{uckGrade}<610:1.723+0.001\left|L_{uckGrade}-590\right|,610 \le L_{uckGrade}<620:1.745+0.001\left|L_{uckGrade}-610\right|,620 \le L_{uckGrade}<630:1.757+0.001\left|L_{uckGrade}-620\right|,630 \le L_{uckGrade}<640:1.768+0.001\left|L_{uckGrade}-630\right|,640 \le L_{uckGrade}<660:1.78+0.001\left|L_{uckGrade}-640\right|,660 \le L_{uckGrade}<670:1.802+0.001\left|L_{uckGrade}-660\right|,670 \le L_{uckGrade}<710:1.814+0.001\left|L_{uckGrade}-670\right|,710 \le L_{uckGrade}<720:1.858+0.001\left|L_{uckGrade}-710\right|,720 \le L_{uckGrade}<830:1.87+0.001\left|L_{uckGrade}-720\right|,830 \le L_{uckGrade}<840:1.991+0.001\left|L_{uckGrade}-830\right|,840 \le L_{uckGrade}<870:2.001+0.001\left|L_{uckGrade}-840\right|,870 \le L_{uckGrade}<880:2.034+0.001\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<910:2.044+0.001\left|L_{uckGrade}-880\right|,910 \le L_{uckGrade}<920:2.077+0.001\left|L_{uckGrade}-910\right|,920 \le L_{uckGrade}<930:2.087+0.001\left|L_{uckGrade}-920\right|,930 \le L_{uckGrade}<940:2.098+0.001\left|L_{uckGrade}-930\right|,940 \le L_{uckGrade}<950:2.108+0.001\left|L_{uckGrade}-940\right|,950 \le L_{uckGrade}<960:2.119+0.001\left|L_{uckGrade}-950\right|,960 \le L_{uckGrade}<970:2.129+0.001\left|L_{uckGrade}-960\right|,970 \le L_{uckGrade}<980:2.14+0.001\left|L_{uckGrade}-970\right|,980 \le L_{uckGrade}<990:2.15+0.001\left|L_{uckGrade}-980\right|,990 \le L_{uckGrade}<1000:2.161+0.001\left|L_{uckGrade}-990\right|,1000 \le L_{uckGrade}<1010:2.171+0.001\left|L_{uckGrade}-1000\right|,1010 \le L_{uckGrade}<1030:2.182+0.001\left|L_{uckGrade}-1010\right|,1030 \le L_{uckGrade}<1040:2.202+0.001\left|L_{uckGrade}-1030\right|,1040 \le L_{uckGrade}<1060:2.213+0.001\left|L_{uckGrade}-1040\right|,1060 \le L_{uckGrade}<1070:2.233+0.001\left|L_{uckGrade}-1060\right|,1070 \le L_{uckGrade}<1130:2.244+0.001\left|L_{uckGrade}-1070\right|,1130 \le L_{uckGrade}<1140:2.304+0.001\left|L_{uckGrade}-1130\right|,1140 \le L_{uckGrade}<1180:2.315+0.001\left|L_{uckGrade}-1140\right|,1180 \le L_{uckGrade}<1190:2.355+0.001\left|L_{uckGrade}-1180\right|,1190 \le L_{uckGrade}<1250:2.364+0.001\left|L_{uckGrade}-1190\right|,1250 \le L_{uckGrade}<1260:2.424+0.001\left|L_{uckGrade}-1250\right|,1260 \le L_{uckGrade}<1280:2.433+0.001\left|L_{uckGrade}-1260\right|,1280 \le L_{uckGrade}<1290:2.453+0.001\left|L_{uckGrade}-1280\right|,1290 \le L_{uckGrade}<1310:2.462+0.001\left|L_{uckGrade}-1290\right|,1310 \le L_{uckGrade}<1320:2.482+0.001\left|L_{uckGrade}-1310\right|,1320 \le L_{uckGrade}<1330:2.491+0.001\left|L_{uckGrade}-1320\right|,1330 \le L_{uckGrade}<1340:2.501+0.001\left|L_{uckGrade}-1330\right|,1340 \le L_{uckGrade}<1350:2.51+0.001\left|L_{uckGrade}-1340\right|,1350 \le L_{uckGrade}<1360:2.52+0.001\left|L_{uckGrade}-1350\right|,1360 \le L_{uckGrade}<1370:2.529+0.001\left|L_{uckGrade}-1360\right|,1370 \le L_{uckGrade}<1380:2.539+0.001\left|L_{uckGrade}-1370\right|,1380 \le L_{uckGrade}<1390:2.548+0.001\left|L_{uckGrade}-1380\right|,1390 \le L_{uckGrade}<1410:2.558+0.001\left|L_{uckGrade}-1390\right|,1410 \le L_{uckGrade}<1420:2.576+0.001\left|L_{uckGrade}-1410\right|,1420 \le L_{uckGrade}<1440:2.586+0.001\left|L_{uckGrade}-1420\right|,1440 \le L_{uckGrade}<1450:2.604+0.001\left|L_{uckGrade}-1440\right|,1450 \le L_{uckGrade}<1500:2.614+0.001\left|L_{uckGrade}-1450\right|,1500 \le L_{uckGrade}<1510:2.659+0.001\left|L_{uckGrade}-1500\right|,1510 \le L_{uckGrade}<1580:2.669+0.001\left|L_{uckGrade}-1510\right|,1580 \le L_{uckGrade}<1590:2.732+0.001\left|L_{uckGrade}-1580\right|,1590 \le L_{uckGrade}<1630:2.74+0.001\left|L_{uckGrade}-1590\right|,1630 \le L_{uckGrade}<1640:2.776+0.001\left|L_{uckGrade}-1630\right|,1640 \le L_{uckGrade}<1670:2.784+0.001\left|L_{uckGrade}-1640\right|,1670 \le L_{uckGrade}<1680:2.811+0.001\left|L_{uckGrade}-1670\right|,1680 \le L_{uckGrade}<1700:2.819+0.001\left|L_{uckGrade}-1680\right|,1700 \le L_{uckGrade}<1710:2.837+0.001\left|L_{uckGrade}-1700\right|,1710 \le L_{uckGrade}<1720:2.845+0.001\left|L_{uckGrade}-1710\right|,1720 \le L_{uckGrade}<1730:2.854+0.001\left|L_{uckGrade}-1720\right|,1730 \le L_{uckGrade}<1740:2.862+0.001\left|L_{uckGrade}-1730\right|,1740 \le L_{uckGrade}<1750:2.871+0.001\left|L_{uckGrade}-1740\right|,1750 \le L_{uckGrade}<1760:2.879+0.001\left|L_{uckGrade}-1750\right|,1760 \le L_{uckGrade}<1780:2.888+0.001\left|L_{uckGrade}-1760\right|,1780 \le L_{uckGrade}<1790:2.904+0.001\left|L_{uckGrade}-1780\right|,1790 \le L_{uckGrade}<1810:2.913+0.001\left|L_{uckGrade}-1790\right|,1810 \le L_{uckGrade}<1820:2.929+0.001\left|L_{uckGrade}-1810\right|,1820 \le L_{uckGrade}<1850:2.938+0.001\left|L_{uckGrade}-1820\right|,1850 \le L_{uckGrade}<1860:2.962+0.001\left|L_{uckGrade}-1850\right|,1860 \le L_{uckGrade}<2000:2.971+0.001\left|L_{uckGrade}-1860\right|,2000 \le L_{uckGrade}<2010:3.083+0.001\left|L_{uckGrade}-2000\right|,2010 \le L_{uckGrade}<2040:3.09+0.001\left|L_{uckGrade}-2010\right|,2040 \le L_{uckGrade}<2050:3.114+0.001\left|L_{uckGrade}-2040\right|,2050 \le L_{uckGrade}<2070:3.121+0.001\left|L_{uckGrade}-2050\right|,2070 \le L_{uckGrade}<2080:3.137+0.001\left|L_{uckGrade}-2070\right|,2080 \le L_{uckGrade}<2090:3.144+0.001\left|L_{uckGrade}-2080\right|,2090 \le L_{uckGrade}<2100:3.152+0.001\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2110:3.159+0.001\left|L_{uckGrade}-2100\right|,2110 \le L_{uckGrade}<2120:3.167+0.001\left|L_{uckGrade}-2110\right|,2120 \le L_{uckGrade}<2130:3.174+0.001\left|L_{uckGrade}-2120\right|,2130 \le L_{uckGrade}<2140:3.182+0.001\left|L_{uckGrade}-2130\right|,2140 \le L_{uckGrade}<2150:3.189+0.001\left|L_{uckGrade}-2140\right|,2150 \le L_{uckGrade}<2160:3.197+0.001\left|L_{uckGrade}-2150\right|,2160 \le L_{uckGrade}<2170:3.204+0.001\left|L_{uckGrade}-2160\right|,2170 \le L_{uckGrade}<2190:3.212+0.001\left|L_{uckGrade}-2170\right|,2190 \le L_{uckGrade}<2200:3.226+0.001\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2230:3.234+0.001\left|L_{uckGrade}-2200\right|,2230 \le L_{uckGrade}<2240:3.255+0.001\left|L_{uckGrade}-2230\right|,2240 \le L_{uckGrade}<2390:3.263+0.001\left|L_{uckGrade}-2240\right|,2390 \le L_{uckGrade}<2400:3.368+0.001\left|L_{uckGrade}-2390\right|,2400 \le L_{uckGrade}<2430:3.374+0.001\left|L_{uckGrade}-2400\right|,2430 \le L_{uckGrade}<2440:3.395+0.001\left|L_{uckGrade}-2430\right|,2440 \le L_{uckGrade}<2450:3.401+0.001\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2460:3.408+0.001\left|L_{uckGrade}-2450\right|,2460 \le L_{uckGrade}<2480:3.414+0.001\left|L_{uckGrade}-2460\right|,2480 \le L_{uckGrade}<2490:3.428+0.001\left|L_{uckGrade}-2480\right|,2490 \le L_{uckGrade}<2500:3.434+0.001\left|L_{uckGrade}-2490\right|,2500 \le L_{uckGrade}<2510:3.441+0.001\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2520:3.447+0.001\left|L_{uckGrade}-2510\right|,2520 \le L_{uckGrade}<2530:3.454+0.001\left|L_{uckGrade}-2520\right|,2530 \le L_{uckGrade}<2540:3.46+0.001\left|L_{uckGrade}-2530\right|,2540 \le L_{uckGrade}<2560:3.467+0.001\left|L_{uckGrade}-2540\right|,2560 \le L_{uckGrade}<2570:3.479+0.001\left|L_{uckGrade}-2560\right|,2570 \le L_{uckGrade}<2590:3.486+0.001\left|L_{uckGrade}-2570\right|,2590 \le L_{uckGrade}<2600:3.498+0.001\left|L_{uckGrade}-2590\right|,2600 \le L_{uckGrade}<2640:3.505+0.001\left|L_{uckGrade}-2600\right|,2640 \le L_{uckGrade}<2650:3.529+0.001\left|L_{uckGrade}-2640\right|,2650 \le L_{uckGrade}<2740:3.536+0.001\left|L_{uckGrade}-2650\right|,2740 \le L_{uckGrade}<2750:3.59+0.001\left|L_{uckGrade}-2740\right|,2750 \le L_{uckGrade}<2790:3.595+0.001\left|L_{uckGrade}-2750\right|,2790 \le L_{uckGrade}<2800:3.619+0\left|L_{uckGrade}-2790\right|,2800 \le L_{uckGrade}<2830:3.624+0.001\left|L_{uckGrade}-2800\right|,2830 \le L_{uckGrade}<2840:3.642+0\left|L_{uckGrade}-2830\right|,2840 \le L_{uckGrade}<2850:3.647+0.001\left|L_{uckGrade}-2840\right|,2850 \le L_{uckGrade}<2860:3.653+0\left|L_{uckGrade}-2850\right|,2860 \le L_{uckGrade}<2870:3.658+0.001\left|L_{uckGrade}-2860\right|,2870 \le L_{uckGrade}<2880:3.664+0\left|L_{uckGrade}-2870\right|,2880 \le L_{uckGrade}<2890:3.669+0.001\left|L_{uckGrade}-2880\right|,2890 \le L_{uckGrade}<2900:3.675+0.001\left|L_{uckGrade}-2890\right|,2900 \le L_{uckGrade}<2910:3.68+0.001\left|L_{uckGrade}-2900\right|,2910 \le L_{uckGrade}<2920:3.686+0\left|L_{uckGrade}-2910\right|,2920 \le L_{uckGrade}<2930:3.691+0.001\left|L_{uckGrade}-2920\right|,2930 \le L_{uckGrade}<2940:3.697+0\left|L_{uckGrade}-2930\right|,2940 \le L_{uckGrade}<2950:3.702+0.001\left|L_{uckGrade}-2940\right|,2950 \le L_{uckGrade}<2980:3.708+0\left|L_{uckGrade}-2950\right|,2980 \le L_{uckGrade}<2990:3.723+0.001\left|L_{uckGrade}-2980\right|,2990 \le L_{uckGrade}<3030:3.729+0.001\left|L_{uckGrade}-2990\right|,3030 \le L_{uckGrade}<3040:3.749+0.001\left|L_{uckGrade}-3030\right|,3040 \le L_{uckGrade}<3120:3.755+0.001\left|L_{uckGrade}-3040\right|,3120 \le L_{uckGrade}<3130:3.795+0\left|L_{uckGrade}-3120\right|,3130 \le L_{uckGrade}<3180:3.799+0\left|L_{uckGrade}-3130\right|,3180 \le L_{uckGrade}<3190:3.824+0\left|L_{uckGrade}-3180\right|,3190 \le L_{uckGrade}<3210:3.828+0.001\left|L_{uckGrade}-3190\right|,3210 \le L_{uckGrade}<3220:3.838+0\left|L_{uckGrade}-3210\right|,3220 \le L_{uckGrade}<3240:3.842+0\left|L_{uckGrade}-3220\right|,3240 \le L_{uckGrade}<3250:3.852+0\left|L_{uckGrade}-3240\right|,3250 \le L_{uckGrade}<3260:3.856+0.001\left|L_{uckGrade}-3250\right|,3260 \le L_{uckGrade}<3270:3.861+0\left|L_{uckGrade}-3260\right|,3270 \le L_{uckGrade}<3280:3.865+0\left|L_{uckGrade}-3270\right|,3280 \le L_{uckGrade}<3290:3.87+0\left|L_{uckGrade}-3280\right|,3290 \le L_{uckGrade}<3300:3.874+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3320:3.879+0\left|L_{uckGrade}-3300\right|,3320 \le L_{uckGrade}<3330:3.887+0\left|L_{uckGrade}-3320\right|,3330 \le L_{uckGrade}<3350:3.892+0\left|L_{uckGrade}-3330\right|,3350 \le L_{uckGrade}<3360:3.9+0\left|L_{uckGrade}-3350\right|,3360 \le L_{uckGrade}<3390:3.905+0\left|L_{uckGrade}-3360\right|,3390 \le L_{uckGrade}<3400:3.917+0.001\left|L_{uckGrade}-3390\right|,3400 \le L_{uckGrade}<3530:3.922+0\left|L_{uckGrade}-3400\right|,3530 \le L_{uckGrade}<3540:3.974+0\left|L_{uckGrade}-3530\right|,3540 \le L_{uckGrade}<3580:3.977+0\left|L_{uckGrade}-3540\right|,3580 \le L_{uckGrade}<3590:3.993+0\left|L_{uckGrade}-3580\right|,3590 \le L_{uckGrade}<3610:3.996+0\left|L_{uckGrade}-3590\right|,3610 \le L_{uckGrade}<3620:4.004+0\left|L_{uckGrade}-3610\right|,3620 \le L_{uckGrade}<3630:4.007+0\left|L_{uckGrade}-3620\right|,3630 \le L_{uckGrade}<3640:4.011+0\left|L_{uckGrade}-3630\right|,3640 \le L_{uckGrade}<3650:4.014+0\left|L_{uckGrade}-3640\right|,3650 \le L_{uckGrade}<3660:4.018+0\left|L_{uckGrade}-3650\right|,3660 \le L_{uckGrade}<3670:4.021+0\left|L_{uckGrade}-3660\right|,3670 \le L_{uckGrade}<3680:4.025+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3690:4.028+0\left|L_{uckGrade}-3680\right|,3690 \le L_{uckGrade}<3710:4.032+0\left|L_{uckGrade}-3690\right|,3710 \le L_{uckGrade}<3720:4.038+0\left|L_{uckGrade}-3710\right|,3720 \le L_{uckGrade}<3740:4.042+0\left|L_{uckGrade}-3720\right|,3740 \le L_{uckGrade}<3750:4.048+0\left|L_{uckGrade}-3740\right|,3750 \le L_{uckGrade}<3780:4.052+0\left|L_{uckGrade}-3750\right|,3780 \le L_{uckGrade}<3790:4.061+0\left|L_{uckGrade}-3780\right|,3790 \le L_{uckGrade}<3910:4.065+0\left|L_{uckGrade}-3790\right|,3910 \le L_{uckGrade}<3920:4.101+0\left|L_{uckGrade}-3910\right|,3920 \le L_{uckGrade}<3960:4.103+0\left|L_{uckGrade}-3920\right|,3960 \le L_{uckGrade}<3970:4.115+0\left|L_{uckGrade}-3960\right|,3970 \le L_{uckGrade}<3990:4.117+0\left|L_{uckGrade}-3970\right|,3990 \le L_{uckGrade}<4000:4.123+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4010:4.125+0\left|L_{uckGrade}-4000\right|,4010 \le L_{uckGrade}<4020:4.128+0\left|L_{uckGrade}-4010\right|,4020 \le L_{uckGrade}<4030:4.13+0\left|L_{uckGrade}-4020\right|,4030 \le L_{uckGrade}<4040:4.133+0\left|L_{uckGrade}-4030\right|,4040 \le L_{uckGrade}<4050:4.135+0\left|L_{uckGrade}-4040\right|,4050 \le L_{uckGrade}<4060:4.138+0\left|L_{uckGrade}-4050\right|,4060 \le L_{uckGrade}<4070:4.14+0\left|L_{uckGrade}-4060\right|,4070 \le L_{uckGrade}<4080:4.143+0\left|L_{uckGrade}-4070\right|,4080 \le L_{uckGrade}<4090:4.145+0\left|L_{uckGrade}-4080\right|,4090 \le L_{uckGrade}<4110:4.148+0\left|L_{uckGrade}-4090\right|,4110 \le L_{uckGrade}<4120:4.152+0\left|L_{uckGrade}-4110\right|,4120 \le L_{uckGrade}<4150:4.155+0\left|L_{uckGrade}-4120\right|,4150 \le L_{uckGrade}<4160:4.161+0\left|L_{uckGrade}-4150\right|,4160 \le L_{uckGrade}<4320:4.164+0\left|L_{uckGrade}-4160\right|,4320 \le L_{uckGrade}<4330:4.196+0\left|L_{uckGrade}-4320\right|,4330 \le L_{uckGrade}<4350:4.197+0\left|L_{uckGrade}-4330\right|,4350 \le L_{uckGrade}<4360:4.201+0\left|L_{uckGrade}-4350\right|,4360 \le L_{uckGrade}<4380:4.202+0\left|L_{uckGrade}-4360\right|,4380 \le L_{uckGrade}<4390:4.206+0\left|L_{uckGrade}-4380\right|,4390 \le L_{uckGrade}<4400:4.207+0\left|L_{uckGrade}-4390\right|,4400 \le L_{uckGrade}<4410:4.209+0\left|L_{uckGrade}-4400\right|,4410 \le L_{uckGrade}<4430:4.21+0\left|L_{uckGrade}-4410\right|,4430 \le L_{uckGrade}<4450:4.214+0\left|L_{uckGrade}-4430\right|,4450 \le L_{uckGrade}<4460:4.216+0\left|L_{uckGrade}-4450\right|,4460 \le L_{uckGrade}<4470:4.218+0\left|L_{uckGrade}-4460\right|,4470 \le L_{uckGrade}<4480:4.219+0\left|L_{uckGrade}-4470\right|,4480 \le L_{uckGrade}<4500:4.221+0\left|L_{uckGrade}-4480\right|,4500 \le L_{uckGrade}<4510:4.223+0\left|L_{uckGrade}-4500\right|,4510 \le L_{uckGrade}<4540:4.225+0\left|L_{uckGrade}-4510\right|,4540 \le L_{uckGrade}<4550:4.228+0\left|L_{uckGrade}-4540\right|,4550 \le L_{uckGrade}<4690:4.23+0\left|L_{uckGrade}-4550\right|,4690 \le L_{uckGrade}<4700:4.244+0\left|L_{uckGrade}-4690\right|,4700 \le L_{uckGrade}<4730:4.244+0\left|L_{uckGrade}-4700\right|,4730 \le L_{uckGrade}<4740:4.247+0\left|L_{uckGrade}-4730\right|,4740 \le L_{uckGrade}<4760:4.247+0\left|L_{uckGrade}-4740\right|,4760 \le L_{uckGrade}<4770:4.249+0\left|L_{uckGrade}-4760\right|,4770 \le L_{uckGrade}<4780:4.249+0\left|L_{uckGrade}-4770\right|,4780 \le L_{uckGrade}<4790:4.25+0\left|L_{uckGrade}-4780\right|,4790 \le L_{uckGrade}<4810:4.25+0\left|L_{uckGrade}-4790\right|,4810 \le L_{uckGrade}<4820:4.252+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4830:4.252+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4850:4.253+0\left|L_{uckGrade}-4830\right|,4850 \le L_{uckGrade}<4860:4.253+0\left|L_{uckGrade}-4850\right|,4860 \le L_{uckGrade}<4880:4.254+0\left|L_{uckGrade}-4860\right|,4880 \le L_{uckGrade}<4890:4.254+0\left|L_{uckGrade}-4880\right|,4890 \le L_{uckGrade}<4910:4.255+0\left|L_{uckGrade}-4890\right|,4910 \le L_{uckGrade}<4920:4.255+0\left|L_{uckGrade}-4910\right|,4920 \le L_{uckGrade}<4990:4.256+0\left|L_{uckGrade}-4920\right|,4990 \le L_{uckGrade}<5000:4.256+0\left|L_{uckGrade}-4990\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade07}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<10:1+0.001\left|L_{uckGrade}-0\right|,10 \le L_{uckGrade}<30:1.014+0.001\left|L_{uckGrade}-10\right|,30 \le L_{uckGrade}<40:1.04+0.001\left|L_{uckGrade}-30\right|,40 \le L_{uckGrade}<50:1.054+0.001\left|L_{uckGrade}-40\right|,50 \le L_{uckGrade}<60:1.067+0.001\left|L_{uckGrade}-50\right|,60 \le L_{uckGrade}<80:1.081+0.001\left|L_{uckGrade}-60\right|,80 \le L_{uckGrade}<90:1.107+0.001\left|L_{uckGrade}-80\right|,90 \le L_{uckGrade}<130:1.121+0.001\left|L_{uckGrade}-90\right|,130 \le L_{uckGrade}<140:1.173+0.001\left|L_{uckGrade}-130\right|,140 \le L_{uckGrade}<240:1.187+0.001\left|L_{uckGrade}-140\right|,240 \le L_{uckGrade}<250:1.317+0.001\left|L_{uckGrade}-240\right|,250 \le L_{uckGrade}<290:1.329+0.001\left|L_{uckGrade}-250\right|,290 \le L_{uckGrade}<300:1.381+0.001\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<320:1.393+0.001\left|L_{uckGrade}-300\right|,320 \le L_{uckGrade}<330:1.419+0.001\left|L_{uckGrade}-320\right|,330 \le L_{uckGrade}<340:1.431+0.001\left|L_{uckGrade}-330\right|,340 \le L_{uckGrade}<350:1.444+0.001\left|L_{uckGrade}-340\right|,350 \le L_{uckGrade}<370:1.456+0.001\left|L_{uckGrade}-350\right|,370 \le L_{uckGrade}<390:1.482+0.001\left|L_{uckGrade}-370\right|,390 \le L_{uckGrade}<400:1.506+0.001\left|L_{uckGrade}-390\right|,400 \le L_{uckGrade}<410:1.519+0.001\left|L_{uckGrade}-400\right|,410 \le L_{uckGrade}<420:1.531+0.001\left|L_{uckGrade}-410\right|,420 \le L_{uckGrade}<440:1.544+0.001\left|L_{uckGrade}-420\right|,440 \le L_{uckGrade}<450:1.568+0.001\left|L_{uckGrade}-440\right|,450 \le L_{uckGrade}<470:1.581+0.001\left|L_{uckGrade}-450\right|,470 \le L_{uckGrade}<480:1.605+0.001\left|L_{uckGrade}-470\right|,480 \le L_{uckGrade}<640:1.618+0.001\left|L_{uckGrade}-480\right|,640 \le L_{uckGrade}<650:1.81+0.001\left|L_{uckGrade}-640\right|,650 \le L_{uckGrade}<670:1.821+0.001\left|L_{uckGrade}-650\right|,670 \le L_{uckGrade}<680:1.845+0.001\left|L_{uckGrade}-670\right|,680 \le L_{uckGrade}<700:1.856+0.001\left|L_{uckGrade}-680\right|,700 \le L_{uckGrade}<710:1.88+0.001\left|L_{uckGrade}-700\right|,710 \le L_{uckGrade}<730:1.891+0.001\left|L_{uckGrade}-710\right|,730 \le L_{uckGrade}<740:1.915+0.001\left|L_{uckGrade}-730\right|,740 \le L_{uckGrade}<750:1.926+0.001\left|L_{uckGrade}-740\right|,750 \le L_{uckGrade}<770:1.938+0.001\left|L_{uckGrade}-750\right|,770 \le L_{uckGrade}<780:1.96+0.001\left|L_{uckGrade}-770\right|,780 \le L_{uckGrade}<790:1.972+0.001\left|L_{uckGrade}-780\right|,790 \le L_{uckGrade}<800:1.983+0.001\left|L_{uckGrade}-790\right|,800 \le L_{uckGrade}<820:1.995+0.001\left|L_{uckGrade}-800\right|,820 \le L_{uckGrade}<830:2.017+0.001\left|L_{uckGrade}-820\right|,830 \le L_{uckGrade}<870:2.029+0.001\left|L_{uckGrade}-830\right|,870 \le L_{uckGrade}<880:2.073+0.001\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<990:2.085+0.001\left|L_{uckGrade}-880\right|,990 \le L_{uckGrade}<1000:2.206+0.001\left|L_{uckGrade}-990\right|,1000 \le L_{uckGrade}<1030:2.216+0.001\left|L_{uckGrade}-1000\right|,1030 \le L_{uckGrade}<1040:2.249+0.001\left|L_{uckGrade}-1030\right|,1040 \le L_{uckGrade}<1060:2.259+0.001\left|L_{uckGrade}-1040\right|,1060 \le L_{uckGrade}<1070:2.281+0.001\left|L_{uckGrade}-1060\right|,1070 \le L_{uckGrade}<1090:2.291+0.001\left|L_{uckGrade}-1070\right|,1090 \le L_{uckGrade}<1100:2.313+0.001\left|L_{uckGrade}-1090\right|,1100 \le L_{uckGrade}<1110:2.323+0.001\left|L_{uckGrade}-1100\right|,1110 \le L_{uckGrade}<1120:2.334+0.001\left|L_{uckGrade}-1110\right|,1120 \le L_{uckGrade}<1130:2.344+0.001\left|L_{uckGrade}-1120\right|,1130 \le L_{uckGrade}<1140:2.355+0.001\left|L_{uckGrade}-1130\right|,1140 \le L_{uckGrade}<1150:2.365+0.001\left|L_{uckGrade}-1140\right|,1150 \le L_{uckGrade}<1170:2.376+0.001\left|L_{uckGrade}-1150\right|,1170 \le L_{uckGrade}<1180:2.396+0.001\left|L_{uckGrade}-1170\right|,1180 \le L_{uckGrade}<1210:2.407+0.001\left|L_{uckGrade}-1180\right|,1210 \le L_{uckGrade}<1220:2.437+0.001\left|L_{uckGrade}-1210\right|,1220 \le L_{uckGrade}<1270:2.448+0.001\left|L_{uckGrade}-1220\right|,1270 \le L_{uckGrade}<1280:2.498+0.001\left|L_{uckGrade}-1270\right|,1280 \le L_{uckGrade}<1320:2.509+0.001\left|L_{uckGrade}-1280\right|,1320 \le L_{uckGrade}<1330:2.549+0.001\left|L_{uckGrade}-1320\right|,1330 \le L_{uckGrade}<1390:2.558+0.001\left|L_{uckGrade}-1330\right|,1390 \le L_{uckGrade}<1400:2.618+0.001\left|L_{uckGrade}-1390\right|,1400 \le L_{uckGrade}<1420:2.627+0.001\left|L_{uckGrade}-1400\right|,1420 \le L_{uckGrade}<1430:2.647+0.001\left|L_{uckGrade}-1420\right|,1430 \le L_{uckGrade}<1450:2.656+0.001\left|L_{uckGrade}-1430\right|,1450 \le L_{uckGrade}<1460:2.676+0.001\left|L_{uckGrade}-1450\right|,1460 \le L_{uckGrade}<1470:2.685+0.001\left|L_{uckGrade}-1460\right|,1470 \le L_{uckGrade}<1480:2.695+0.001\left|L_{uckGrade}-1470\right|,1480 \le L_{uckGrade}<1490:2.704+0.001\left|L_{uckGrade}-1480\right|,1490 \le L_{uckGrade}<1500:2.714+0.001\left|L_{uckGrade}-1490\right|,1500 \le L_{uckGrade}<1510:2.723+0.001\left|L_{uckGrade}-1500\right|,1510 \le L_{uckGrade}<1520:2.733+0.001\left|L_{uckGrade}-1510\right|,1520 \le L_{uckGrade}<1530:2.742+0.001\left|L_{uckGrade}-1520\right|,1530 \le L_{uckGrade}<1550:2.752+0.001\left|L_{uckGrade}-1530\right|,1550 \le L_{uckGrade}<1560:2.77+0.001\left|L_{uckGrade}-1550\right|,1560 \le L_{uckGrade}<1590:2.78+0.001\left|L_{uckGrade}-1560\right|,1590 \le L_{uckGrade}<1600:2.807+0.001\left|L_{uckGrade}-1590\right|,1600 \le L_{uckGrade}<1740:2.817+0.001\left|L_{uckGrade}-1600\right|,1740 \le L_{uckGrade}<1750:2.943+0.001\left|L_{uckGrade}-1740\right|,1750 \le L_{uckGrade}<1780:2.951+0.001\left|L_{uckGrade}-1750\right|,1780 \le L_{uckGrade}<1790:2.978+0.001\left|L_{uckGrade}-1780\right|,1790 \le L_{uckGrade}<1810:2.986+0.001\left|L_{uckGrade}-1790\right|,1810 \le L_{uckGrade}<1820:3.004+0.001\left|L_{uckGrade}-1810\right|,1820 \le L_{uckGrade}<1830:3.012+0.001\left|L_{uckGrade}-1820\right|,1830 \le L_{uckGrade}<1840:3.021+0.001\left|L_{uckGrade}-1830\right|,1840 \le L_{uckGrade}<1850:3.029+0.001\left|L_{uckGrade}-1840\right|,1850 \le L_{uckGrade}<1860:3.038+0.001\left|L_{uckGrade}-1850\right|,1860 \le L_{uckGrade}<1870:3.046+0.001\left|L_{uckGrade}-1860\right|,1870 \le L_{uckGrade}<1880:3.055+0.001\left|L_{uckGrade}-1870\right|,1880 \le L_{uckGrade}<1890:3.063+0.001\left|L_{uckGrade}-1880\right|,1890 \le L_{uckGrade}<1900:3.072+0.001\left|L_{uckGrade}-1890\right|,1900 \le L_{uckGrade}<1910:3.08+0.001\left|L_{uckGrade}-1900\right|,1910 \le L_{uckGrade}<1930:3.089+0.001\left|L_{uckGrade}-1910\right|,1930 \le L_{uckGrade}<1940:3.105+0.001\left|L_{uckGrade}-1930\right|,1940 \le L_{uckGrade}<1980:3.114+0.001\left|L_{uckGrade}-1940\right|,1980 \le L_{uckGrade}<1990:3.146+0.001\left|L_{uckGrade}-1980\right|,1990 \le L_{uckGrade}<2090:3.155+0.001\left|L_{uckGrade}-1990\right|,2090 \le L_{uckGrade}<2100:3.235+0.001\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2140:3.242+0.001\left|L_{uckGrade}-2100\right|,2140 \le L_{uckGrade}<2150:3.274+0.001\left|L_{uckGrade}-2140\right|,2150 \le L_{uckGrade}<2170:3.281+0.001\left|L_{uckGrade}-2150\right|,2170 \le L_{uckGrade}<2180:3.297+0.001\left|L_{uckGrade}-2170\right|,2180 \le L_{uckGrade}<2200:3.304+0.001\left|L_{uckGrade}-2180\right|,2200 \le L_{uckGrade}<2210:3.32+0.001\left|L_{uckGrade}-2200\right|,2210 \le L_{uckGrade}<2220:3.327+0.001\left|L_{uckGrade}-2210\right|,2220 \le L_{uckGrade}<2230:3.335+0.001\left|L_{uckGrade}-2220\right|,2230 \le L_{uckGrade}<2240:3.342+0.001\left|L_{uckGrade}-2230\right|,2240 \le L_{uckGrade}<2250:3.35+0.001\left|L_{uckGrade}-2240\right|,2250 \le L_{uckGrade}<2260:3.357+0.001\left|L_{uckGrade}-2250\right|,2260 \le L_{uckGrade}<2280:3.365+0.001\left|L_{uckGrade}-2260\right|,2280 \le L_{uckGrade}<2290:3.379+0.001\left|L_{uckGrade}-2280\right|,2290 \le L_{uckGrade}<2310:3.387+0.001\left|L_{uckGrade}-2290\right|,2310 \le L_{uckGrade}<2320:3.401+0.001\left|L_{uckGrade}-2310\right|,2320 \le L_{uckGrade}<2370:3.409+0.001\left|L_{uckGrade}-2320\right|,2370 \le L_{uckGrade}<2380:3.444+0.001\left|L_{uckGrade}-2370\right|,2380 \le L_{uckGrade}<2440:3.452+0.001\left|L_{uckGrade}-2380\right|,2440 \le L_{uckGrade}<2450:3.494+0.001\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2500:3.5+0.001\left|L_{uckGrade}-2450\right|,2500 \le L_{uckGrade}<2510:3.535+0.001\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2530:3.541+0.001\left|L_{uckGrade}-2510\right|,2530 \le L_{uckGrade}<2540:3.555+0.001\left|L_{uckGrade}-2530\right|,2540 \le L_{uckGrade}<2560:3.561+0.001\left|L_{uckGrade}-2540\right|,2560 \le L_{uckGrade}<2570:3.575+0.001\left|L_{uckGrade}-2560\right|,2570 \le L_{uckGrade}<2580:3.581+0.001\left|L_{uckGrade}-2570\right|,2580 \le L_{uckGrade}<2590:3.588+0.001\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2600:3.594+0.001\left|L_{uckGrade}-2590\right|,2600 \le L_{uckGrade}<2610:3.601+0.001\left|L_{uckGrade}-2600\right|,2610 \le L_{uckGrade}<2620:3.607+0.001\left|L_{uckGrade}-2610\right|,2620 \le L_{uckGrade}<2630:3.614+0.001\left|L_{uckGrade}-2620\right|,2630 \le L_{uckGrade}<2640:3.62+0.001\left|L_{uckGrade}-2630\right|,2640 \le L_{uckGrade}<2660:3.627+0.001\left|L_{uckGrade}-2640\right|,2660 \le L_{uckGrade}<2670:3.639+0.001\left|L_{uckGrade}-2660\right|,2670 \le L_{uckGrade}<2700:3.646+0.001\left|L_{uckGrade}-2670\right|,2700 \le L_{uckGrade}<2710:3.664+0.001\left|L_{uckGrade}-2700\right|,2710 \le L_{uckGrade}<2860:3.671+0.001\left|L_{uckGrade}-2710\right|,2860 \le L_{uckGrade}<2870:3.761+0\left|L_{uckGrade}-2860\right|,2870 \le L_{uckGrade}<2900:3.766+0.001\left|L_{uckGrade}-2870\right|,2900 \le L_{uckGrade}<2910:3.784+0.001\left|L_{uckGrade}-2900\right|,2910 \le L_{uckGrade}<2920:3.789+0.001\left|L_{uckGrade}-2910\right|,2920 \le L_{uckGrade}<2930:3.795+0\left|L_{uckGrade}-2920\right|,2930 \le L_{uckGrade}<2950:3.8+0.001\left|L_{uckGrade}-2930\right|,2950 \le L_{uckGrade}<2960:3.812+0.001\left|L_{uckGrade}-2950\right|,2960 \le L_{uckGrade}<2970:3.817+0.001\left|L_{uckGrade}-2960\right|,2970 \le L_{uckGrade}<2980:3.823+0\left|L_{uckGrade}-2970\right|,2980 \le L_{uckGrade}<2990:3.828+0.001\left|L_{uckGrade}-2980\right|,2990 \le L_{uckGrade}<3010:3.834+0\left|L_{uckGrade}-2990\right|,3010 \le L_{uckGrade}<3020:3.844+0.001\left|L_{uckGrade}-3010\right|,3020 \le L_{uckGrade}<3040:3.85+0\left|L_{uckGrade}-3020\right|,3040 \le L_{uckGrade}<3050:3.86+0.001\left|L_{uckGrade}-3040\right|,3050 \le L_{uckGrade}<3080:3.866+0\left|L_{uckGrade}-3050\right|,3080 \le L_{uckGrade}<3090:3.881+0.001\left|L_{uckGrade}-3080\right|,3090 \le L_{uckGrade}<3220:3.887+0\left|L_{uckGrade}-3090\right|,3220 \le L_{uckGrade}<3230:3.952+0\left|L_{uckGrade}-3220\right|,3230 \le L_{uckGrade}<3260:3.956+0.001\left|L_{uckGrade}-3230\right|,3260 \le L_{uckGrade}<3270:3.971+0\left|L_{uckGrade}-3260\right|,3270 \le L_{uckGrade}<3290:3.975+0\left|L_{uckGrade}-3270\right|,3290 \le L_{uckGrade}<3300:3.985+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3310:3.989+0.001\left|L_{uckGrade}-3300\right|,3310 \le L_{uckGrade}<3320:3.994+0\left|L_{uckGrade}-3310\right|,3320 \le L_{uckGrade}<3340:3.998+0\left|L_{uckGrade}-3320\right|,3340 \le L_{uckGrade}<3360:4.008+0\left|L_{uckGrade}-3340\right|,3360 \le L_{uckGrade}<3370:4.016+0\left|L_{uckGrade}-3360\right|,3370 \le L_{uckGrade}<3380:4.021+0\left|L_{uckGrade}-3370\right|,3380 \le L_{uckGrade}<3390:4.025+0\left|L_{uckGrade}-3380\right|,3390 \le L_{uckGrade}<3410:4.03+0\left|L_{uckGrade}-3390\right|,3410 \le L_{uckGrade}<3420:4.038+0\left|L_{uckGrade}-3410\right|,3420 \le L_{uckGrade}<3450:4.043+0\left|L_{uckGrade}-3420\right|,3450 \le L_{uckGrade}<3460:4.055+0\left|L_{uckGrade}-3450\right|,3460 \le L_{uckGrade}<3580:4.06+0\left|L_{uckGrade}-3460\right|,3580 \le L_{uckGrade}<3590:4.108+0\left|L_{uckGrade}-3580\right|,3590 \le L_{uckGrade}<3630:4.111+0\left|L_{uckGrade}-3590\right|,3630 \le L_{uckGrade}<3640:4.127+0\left|L_{uckGrade}-3630\right|,3640 \le L_{uckGrade}<3660:4.13+0\left|L_{uckGrade}-3640\right|,3660 \le L_{uckGrade}<3670:4.138+0\left|L_{uckGrade}-3660\right|,3670 \le L_{uckGrade}<3680:4.141+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3690:4.145+0\left|L_{uckGrade}-3680\right|,3690 \le L_{uckGrade}<3700:4.148+0\left|L_{uckGrade}-3690\right|,3700 \le L_{uckGrade}<3710:4.152+0\left|L_{uckGrade}-3700\right|,3710 \le L_{uckGrade}<3720:4.155+0\left|L_{uckGrade}-3710\right|,3720 \le L_{uckGrade}<3730:4.159+0\left|L_{uckGrade}-3720\right|,3730 \le L_{uckGrade}<3740:4.162+0\left|L_{uckGrade}-3730\right|,3740 \le L_{uckGrade}<3750:4.166+0\left|L_{uckGrade}-3740\right|,3750 \le L_{uckGrade}<3760:4.169+0\left|L_{uckGrade}-3750\right|,3760 \le L_{uckGrade}<3790:4.173+0\left|L_{uckGrade}-3760\right|,3790 \le L_{uckGrade}<3800:4.182+0\left|L_{uckGrade}-3790\right|,3800 \le L_{uckGrade}<3830:4.186+0\left|L_{uckGrade}-3800\right|,3830 \le L_{uckGrade}<3840:4.195+0\left|L_{uckGrade}-3830\right|,3840 \le L_{uckGrade}<3940:4.199+0\left|L_{uckGrade}-3840\right|,3940 \le L_{uckGrade}<3950:4.229+0\left|L_{uckGrade}-3940\right|,3950 \le L_{uckGrade}<3990:4.231+0\left|L_{uckGrade}-3950\right|,3990 \le L_{uckGrade}<4000:4.243+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4020:4.245+0\left|L_{uckGrade}-4000\right|,4020 \le L_{uckGrade}<4030:4.251+0\left|L_{uckGrade}-4020\right|,4030 \le L_{uckGrade}<4050:4.253+0\left|L_{uckGrade}-4030\right|,4050 \le L_{uckGrade}<4060:4.259+0\left|L_{uckGrade}-4050\right|,4060 \le L_{uckGrade}<4070:4.261+0\left|L_{uckGrade}-4060\right|,4070 \le L_{uckGrade}<4080:4.264+0\left|L_{uckGrade}-4070\right|,4080 \le L_{uckGrade}<4090:4.266+0\left|L_{uckGrade}-4080\right|,4090 \le L_{uckGrade}<4100:4.269+0\left|L_{uckGrade}-4090\right|,4100 \le L_{uckGrade}<4110:4.271+0\left|L_{uckGrade}-4100\right|,4110 \le L_{uckGrade}<4130:4.274+0\left|L_{uckGrade}-4110\right|,4130 \le L_{uckGrade}<4140:4.278+0\left|L_{uckGrade}-4130\right|,4140 \le L_{uckGrade}<4160:4.281+0\left|L_{uckGrade}-4140\right|,4160 \le L_{uckGrade}<4170:4.285+0\left|L_{uckGrade}-4160\right|,4170 \le L_{uckGrade}<4210:4.288+0\left|L_{uckGrade}-4170\right|,4210 \le L_{uckGrade}<4220:4.296+0\left|L_{uckGrade}-4210\right|,4220 \le L_{uckGrade}<4310:4.299+0\left|L_{uckGrade}-4220\right|,4310 \le L_{uckGrade}<4320:4.317+0\left|L_{uckGrade}-4310\right|,4320 \le L_{uckGrade}<4360:4.318+0\left|L_{uckGrade}-4320\right|,4360 \le L_{uckGrade}<4370:4.326+0\left|L_{uckGrade}-4360\right|,4370 \le L_{uckGrade}<4390:4.327+0\left|L_{uckGrade}-4370\right|,4390 \le L_{uckGrade}<4400:4.331+0\left|L_{uckGrade}-4390\right|,4400 \le L_{uckGrade}<4420:4.332+0\left|L_{uckGrade}-4400\right|,4420 \le L_{uckGrade}<4430:4.336+0\left|L_{uckGrade}-4420\right|,4430 \le L_{uckGrade}<4440:4.337+0\left|L_{uckGrade}-4430\right|,4440 \le L_{uckGrade}<4450:4.339+0\left|L_{uckGrade}-4440\right|,4450 \le L_{uckGrade}<4460:4.34+0\left|L_{uckGrade}-4450\right|,4460 \le L_{uckGrade}<4470:4.342+0\left|L_{uckGrade}-4460\right|,4470 \le L_{uckGrade}<4480:4.343+0\left|L_{uckGrade}-4470\right|,4480 \le L_{uckGrade}<4500:4.345+0\left|L_{uckGrade}-4480\right|,4500 \le L_{uckGrade}<4510:4.347+0\left|L_{uckGrade}-4500\right|,4510 \le L_{uckGrade}<4530:4.349+0\left|L_{uckGrade}-4510\right|,4530 \le L_{uckGrade}<4540:4.351+0\left|L_{uckGrade}-4530\right|,4540 \le L_{uckGrade}<4580:4.353+0\left|L_{uckGrade}-4540\right|,4580 \le L_{uckGrade}<4590:4.357+0\left|L_{uckGrade}-4580\right|,4590 \le L_{uckGrade}<4670:4.359+0\left|L_{uckGrade}-4590\right|,4670 \le L_{uckGrade}<4680:4.367+0\left|L_{uckGrade}-4670\right|,4680 \le L_{uckGrade}<4730:4.367+0\left|L_{uckGrade}-4680\right|,4730 \le L_{uckGrade}<4740:4.372+0\left|L_{uckGrade}-4730\right|,4740 \le L_{uckGrade}<4760:4.372+0\left|L_{uckGrade}-4740\right|,4760 \le L_{uckGrade}<4770:4.374+0\left|L_{uckGrade}-4760\right|,4770 \le L_{uckGrade}<4790:4.374+0\left|L_{uckGrade}-4770\right|,4790 \le L_{uckGrade}<4800:4.376+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4810:4.376+0\left|L_{uckGrade}-4800\right|,4810 \le L_{uckGrade}<4820:4.377+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4830:4.377+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4840:4.378+0\left|L_{uckGrade}-4830\right|,4840 \le L_{uckGrade}<4850:4.378+0\left|L_{uckGrade}-4840\right|,4850 \le L_{uckGrade}<4870:4.379+0\left|L_{uckGrade}-4850\right|,4870 \le L_{uckGrade}<4880:4.379+0\left|L_{uckGrade}-4870\right|,4880 \le L_{uckGrade}<4900:4.38+0\left|L_{uckGrade}-4880\right|,4900 \le L_{uckGrade}<4910:4.38+0\left|L_{uckGrade}-4900\right|,4910 \le L_{uckGrade}<4960:4.381+0\left|L_{uckGrade}-4910\right|,4960 \le L_{uckGrade}<4970:4.381+0\left|L_{uckGrade}-4960\right|,4970 \le L_{uckGrade}<5000:4.382+0\left|L_{uckGrade}-4970\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade08}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<10:1+0.001\left|L_{uckGrade}-0\right|,10 \le L_{uckGrade}<30:1.014+0.001\left|L_{uckGrade}-10\right|,30 \le L_{uckGrade}<40:1.04+0.001\left|L_{uckGrade}-30\right|,40 \le L_{uckGrade}<50:1.054+0.001\left|L_{uckGrade}-40\right|,50 \le L_{uckGrade}<60:1.067+0.001\left|L_{uckGrade}-50\right|,60 \le L_{uckGrade}<80:1.081+0.001\left|L_{uckGrade}-60\right|,80 \le L_{uckGrade}<90:1.107+0.001\left|L_{uckGrade}-80\right|,90 \le L_{uckGrade}<130:1.121+0.001\left|L_{uckGrade}-90\right|,130 \le L_{uckGrade}<140:1.173+0.001\left|L_{uckGrade}-130\right|,140 \le L_{uckGrade}<240:1.187+0.001\left|L_{uckGrade}-140\right|,240 \le L_{uckGrade}<250:1.317+0.001\left|L_{uckGrade}-240\right|,250 \le L_{uckGrade}<290:1.329+0.001\left|L_{uckGrade}-250\right|,290 \le L_{uckGrade}<300:1.381+0.001\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<320:1.393+0.001\left|L_{uckGrade}-300\right|,320 \le L_{uckGrade}<330:1.419+0.001\left|L_{uckGrade}-320\right|,330 \le L_{uckGrade}<340:1.431+0.001\left|L_{uckGrade}-330\right|,340 \le L_{uckGrade}<350:1.444+0.001\left|L_{uckGrade}-340\right|,350 \le L_{uckGrade}<370:1.456+0.001\left|L_{uckGrade}-350\right|,370 \le L_{uckGrade}<390:1.482+0.001\left|L_{uckGrade}-370\right|,390 \le L_{uckGrade}<400:1.506+0.001\left|L_{uckGrade}-390\right|,400 \le L_{uckGrade}<410:1.519+0.001\left|L_{uckGrade}-400\right|,410 \le L_{uckGrade}<420:1.531+0.001\left|L_{uckGrade}-410\right|,420 \le L_{uckGrade}<440:1.544+0.001\left|L_{uckGrade}-420\right|,440 \le L_{uckGrade}<450:1.568+0.001\left|L_{uckGrade}-440\right|,450 \le L_{uckGrade}<470:1.581+0.001\left|L_{uckGrade}-450\right|,470 \le L_{uckGrade}<480:1.605+0.001\left|L_{uckGrade}-470\right|,480 \le L_{uckGrade}<640:1.618+0.001\left|L_{uckGrade}-480\right|,640 \le L_{uckGrade}<650:1.81+0.001\left|L_{uckGrade}-640\right|,650 \le L_{uckGrade}<670:1.821+0.001\left|L_{uckGrade}-650\right|,670 \le L_{uckGrade}<680:1.845+0.001\left|L_{uckGrade}-670\right|,680 \le L_{uckGrade}<700:1.856+0.001\left|L_{uckGrade}-680\right|,700 \le L_{uckGrade}<710:1.88+0.001\left|L_{uckGrade}-700\right|,710 \le L_{uckGrade}<730:1.891+0.001\left|L_{uckGrade}-710\right|,730 \le L_{uckGrade}<740:1.915+0.001\left|L_{uckGrade}-730\right|,740 \le L_{uckGrade}<750:1.926+0.001\left|L_{uckGrade}-740\right|,750 \le L_{uckGrade}<770:1.938+0.001\left|L_{uckGrade}-750\right|,770 \le L_{uckGrade}<780:1.96+0.001\left|L_{uckGrade}-770\right|,780 \le L_{uckGrade}<790:1.972+0.001\left|L_{uckGrade}-780\right|,790 \le L_{uckGrade}<800:1.983+0.001\left|L_{uckGrade}-790\right|,800 \le L_{uckGrade}<820:1.995+0.001\left|L_{uckGrade}-800\right|,820 \le L_{uckGrade}<830:2.017+0.001\left|L_{uckGrade}-820\right|,830 \le L_{uckGrade}<870:2.029+0.001\left|L_{uckGrade}-830\right|,870 \le L_{uckGrade}<880:2.073+0.001\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<990:2.085+0.001\left|L_{uckGrade}-880\right|,990 \le L_{uckGrade}<1000:2.206+0.001\left|L_{uckGrade}-990\right|,1000 \le L_{uckGrade}<1030:2.216+0.001\left|L_{uckGrade}-1000\right|,1030 \le L_{uckGrade}<1040:2.249+0.001\left|L_{uckGrade}-1030\right|,1040 \le L_{uckGrade}<1060:2.259+0.001\left|L_{uckGrade}-1040\right|,1060 \le L_{uckGrade}<1070:2.281+0.001\left|L_{uckGrade}-1060\right|,1070 \le L_{uckGrade}<1090:2.291+0.001\left|L_{uckGrade}-1070\right|,1090 \le L_{uckGrade}<1100:2.313+0.001\left|L_{uckGrade}-1090\right|,1100 \le L_{uckGrade}<1110:2.323+0.001\left|L_{uckGrade}-1100\right|,1110 \le L_{uckGrade}<1120:2.334+0.001\left|L_{uckGrade}-1110\right|,1120 \le L_{uckGrade}<1130:2.344+0.001\left|L_{uckGrade}-1120\right|,1130 \le L_{uckGrade}<1140:2.355+0.001\left|L_{uckGrade}-1130\right|,1140 \le L_{uckGrade}<1150:2.365+0.001\left|L_{uckGrade}-1140\right|,1150 \le L_{uckGrade}<1170:2.376+0.001\left|L_{uckGrade}-1150\right|,1170 \le L_{uckGrade}<1180:2.396+0.001\left|L_{uckGrade}-1170\right|,1180 \le L_{uckGrade}<1210:2.407+0.001\left|L_{uckGrade}-1180\right|,1210 \le L_{uckGrade}<1220:2.437+0.001\left|L_{uckGrade}-1210\right|,1220 \le L_{uckGrade}<1270:2.448+0.001\left|L_{uckGrade}-1220\right|,1270 \le L_{uckGrade}<1280:2.498+0.001\left|L_{uckGrade}-1270\right|,1280 \le L_{uckGrade}<1320:2.509+0.001\left|L_{uckGrade}-1280\right|,1320 \le L_{uckGrade}<1330:2.549+0.001\left|L_{uckGrade}-1320\right|,1330 \le L_{uckGrade}<1390:2.558+0.001\left|L_{uckGrade}-1330\right|,1390 \le L_{uckGrade}<1400:2.618+0.001\left|L_{uckGrade}-1390\right|,1400 \le L_{uckGrade}<1420:2.627+0.001\left|L_{uckGrade}-1400\right|,1420 \le L_{uckGrade}<1430:2.647+0.001\left|L_{uckGrade}-1420\right|,1430 \le L_{uckGrade}<1450:2.656+0.001\left|L_{uckGrade}-1430\right|,1450 \le L_{uckGrade}<1460:2.676+0.001\left|L_{uckGrade}-1450\right|,1460 \le L_{uckGrade}<1470:2.685+0.001\left|L_{uckGrade}-1460\right|,1470 \le L_{uckGrade}<1480:2.695+0.001\left|L_{uckGrade}-1470\right|,1480 \le L_{uckGrade}<1490:2.704+0.001\left|L_{uckGrade}-1480\right|,1490 \le L_{uckGrade}<1500:2.714+0.001\left|L_{uckGrade}-1490\right|,1500 \le L_{uckGrade}<1510:2.723+0.001\left|L_{uckGrade}-1500\right|,1510 \le L_{uckGrade}<1520:2.733+0.001\left|L_{uckGrade}-1510\right|,1520 \le L_{uckGrade}<1530:2.742+0.001\left|L_{uckGrade}-1520\right|,1530 \le L_{uckGrade}<1550:2.752+0.001\left|L_{uckGrade}-1530\right|,1550 \le L_{uckGrade}<1560:2.77+0.001\left|L_{uckGrade}-1550\right|,1560 \le L_{uckGrade}<1590:2.78+0.001\left|L_{uckGrade}-1560\right|,1590 \le L_{uckGrade}<1600:2.807+0.001\left|L_{uckGrade}-1590\right|,1600 \le L_{uckGrade}<1740:2.817+0.001\left|L_{uckGrade}-1600\right|,1740 \le L_{uckGrade}<1750:2.943+0.001\left|L_{uckGrade}-1740\right|,1750 \le L_{uckGrade}<1780:2.951+0.001\left|L_{uckGrade}-1750\right|,1780 \le L_{uckGrade}<1790:2.978+0.001\left|L_{uckGrade}-1780\right|,1790 \le L_{uckGrade}<1810:2.986+0.001\left|L_{uckGrade}-1790\right|,1810 \le L_{uckGrade}<1820:3.004+0.001\left|L_{uckGrade}-1810\right|,1820 \le L_{uckGrade}<1830:3.012+0.001\left|L_{uckGrade}-1820\right|,1830 \le L_{uckGrade}<1840:3.021+0.001\left|L_{uckGrade}-1830\right|,1840 \le L_{uckGrade}<1850:3.029+0.001\left|L_{uckGrade}-1840\right|,1850 \le L_{uckGrade}<1860:3.038+0.001\left|L_{uckGrade}-1850\right|,1860 \le L_{uckGrade}<1870:3.046+0.001\left|L_{uckGrade}-1860\right|,1870 \le L_{uckGrade}<1880:3.055+0.001\left|L_{uckGrade}-1870\right|,1880 \le L_{uckGrade}<1890:3.063+0.001\left|L_{uckGrade}-1880\right|,1890 \le L_{uckGrade}<1900:3.072+0.001\left|L_{uckGrade}-1890\right|,1900 \le L_{uckGrade}<1910:3.08+0.001\left|L_{uckGrade}-1900\right|,1910 \le L_{uckGrade}<1930:3.089+0.001\left|L_{uckGrade}-1910\right|,1930 \le L_{uckGrade}<1940:3.105+0.001\left|L_{uckGrade}-1930\right|,1940 \le L_{uckGrade}<1980:3.114+0.001\left|L_{uckGrade}-1940\right|,1980 \le L_{uckGrade}<1990:3.146+0.001\left|L_{uckGrade}-1980\right|,1990 \le L_{uckGrade}<2090:3.155+0.001\left|L_{uckGrade}-1990\right|,2090 \le L_{uckGrade}<2100:3.235+0.001\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2140:3.242+0.001\left|L_{uckGrade}-2100\right|,2140 \le L_{uckGrade}<2150:3.274+0.001\left|L_{uckGrade}-2140\right|,2150 \le L_{uckGrade}<2170:3.281+0.001\left|L_{uckGrade}-2150\right|,2170 \le L_{uckGrade}<2180:3.297+0.001\left|L_{uckGrade}-2170\right|,2180 \le L_{uckGrade}<2200:3.304+0.001\left|L_{uckGrade}-2180\right|,2200 \le L_{uckGrade}<2210:3.32+0.001\left|L_{uckGrade}-2200\right|,2210 \le L_{uckGrade}<2220:3.327+0.001\left|L_{uckGrade}-2210\right|,2220 \le L_{uckGrade}<2230:3.335+0.001\left|L_{uckGrade}-2220\right|,2230 \le L_{uckGrade}<2240:3.342+0.001\left|L_{uckGrade}-2230\right|,2240 \le L_{uckGrade}<2250:3.35+0.001\left|L_{uckGrade}-2240\right|,2250 \le L_{uckGrade}<2260:3.357+0.001\left|L_{uckGrade}-2250\right|,2260 \le L_{uckGrade}<2280:3.365+0.001\left|L_{uckGrade}-2260\right|,2280 \le L_{uckGrade}<2290:3.379+0.001\left|L_{uckGrade}-2280\right|,2290 \le L_{uckGrade}<2310:3.387+0.001\left|L_{uckGrade}-2290\right|,2310 \le L_{uckGrade}<2320:3.401+0.001\left|L_{uckGrade}-2310\right|,2320 \le L_{uckGrade}<2370:3.409+0.001\left|L_{uckGrade}-2320\right|,2370 \le L_{uckGrade}<2380:3.444+0.001\left|L_{uckGrade}-2370\right|,2380 \le L_{uckGrade}<2440:3.452+0.001\left|L_{uckGrade}-2380\right|,2440 \le L_{uckGrade}<2450:3.494+0.001\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2500:3.5+0.001\left|L_{uckGrade}-2450\right|,2500 \le L_{uckGrade}<2510:3.535+0.001\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2530:3.541+0.001\left|L_{uckGrade}-2510\right|,2530 \le L_{uckGrade}<2540:3.555+0.001\left|L_{uckGrade}-2530\right|,2540 \le L_{uckGrade}<2560:3.561+0.001\left|L_{uckGrade}-2540\right|,2560 \le L_{uckGrade}<2570:3.575+0.001\left|L_{uckGrade}-2560\right|,2570 \le L_{uckGrade}<2580:3.581+0.001\left|L_{uckGrade}-2570\right|,2580 \le L_{uckGrade}<2590:3.588+0.001\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2600:3.594+0.001\left|L_{uckGrade}-2590\right|,2600 \le L_{uckGrade}<2610:3.601+0.001\left|L_{uckGrade}-2600\right|,2610 \le L_{uckGrade}<2620:3.607+0.001\left|L_{uckGrade}-2610\right|,2620 \le L_{uckGrade}<2630:3.614+0.001\left|L_{uckGrade}-2620\right|,2630 \le L_{uckGrade}<2640:3.62+0.001\left|L_{uckGrade}-2630\right|,2640 \le L_{uckGrade}<2660:3.627+0.001\left|L_{uckGrade}-2640\right|,2660 \le L_{uckGrade}<2670:3.639+0.001\left|L_{uckGrade}-2660\right|,2670 \le L_{uckGrade}<2700:3.646+0.001\left|L_{uckGrade}-2670\right|,2700 \le L_{uckGrade}<2710:3.664+0.001\left|L_{uckGrade}-2700\right|,2710 \le L_{uckGrade}<2860:3.671+0.001\left|L_{uckGrade}-2710\right|,2860 \le L_{uckGrade}<2870:3.761+0\left|L_{uckGrade}-2860\right|,2870 \le L_{uckGrade}<2900:3.766+0.001\left|L_{uckGrade}-2870\right|,2900 \le L_{uckGrade}<2910:3.784+0.001\left|L_{uckGrade}-2900\right|,2910 \le L_{uckGrade}<2920:3.789+0.001\left|L_{uckGrade}-2910\right|,2920 \le L_{uckGrade}<2930:3.795+0\left|L_{uckGrade}-2920\right|,2930 \le L_{uckGrade}<2950:3.8+0.001\left|L_{uckGrade}-2930\right|,2950 \le L_{uckGrade}<2960:3.812+0.001\left|L_{uckGrade}-2950\right|,2960 \le L_{uckGrade}<2970:3.817+0.001\left|L_{uckGrade}-2960\right|,2970 \le L_{uckGrade}<2980:3.823+0\left|L_{uckGrade}-2970\right|,2980 \le L_{uckGrade}<2990:3.828+0.001\left|L_{uckGrade}-2980\right|,2990 \le L_{uckGrade}<3010:3.834+0\left|L_{uckGrade}-2990\right|,3010 \le L_{uckGrade}<3020:3.844+0.001\left|L_{uckGrade}-3010\right|,3020 \le L_{uckGrade}<3040:3.85+0\left|L_{uckGrade}-3020\right|,3040 \le L_{uckGrade}<3050:3.86+0.001\left|L_{uckGrade}-3040\right|,3050 \le L_{uckGrade}<3080:3.866+0\left|L_{uckGrade}-3050\right|,3080 \le L_{uckGrade}<3090:3.881+0.001\left|L_{uckGrade}-3080\right|,3090 \le L_{uckGrade}<3220:3.887+0\left|L_{uckGrade}-3090\right|,3220 \le L_{uckGrade}<3230:3.952+0\left|L_{uckGrade}-3220\right|,3230 \le L_{uckGrade}<3260:3.956+0.001\left|L_{uckGrade}-3230\right|,3260 \le L_{uckGrade}<3270:3.971+0\left|L_{uckGrade}-3260\right|,3270 \le L_{uckGrade}<3290:3.975+0\left|L_{uckGrade}-3270\right|,3290 \le L_{uckGrade}<3300:3.985+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3310:3.989+0.001\left|L_{uckGrade}-3300\right|,3310 \le L_{uckGrade}<3320:3.994+0\left|L_{uckGrade}-3310\right|,3320 \le L_{uckGrade}<3340:3.998+0\left|L_{uckGrade}-3320\right|,3340 \le L_{uckGrade}<3360:4.008+0\left|L_{uckGrade}-3340\right|,3360 \le L_{uckGrade}<3370:4.016+0\left|L_{uckGrade}-3360\right|,3370 \le L_{uckGrade}<3380:4.021+0\left|L_{uckGrade}-3370\right|,3380 \le L_{uckGrade}<3390:4.025+0\left|L_{uckGrade}-3380\right|,3390 \le L_{uckGrade}<3410:4.03+0\left|L_{uckGrade}-3390\right|,3410 \le L_{uckGrade}<3420:4.038+0\left|L_{uckGrade}-3410\right|,3420 \le L_{uckGrade}<3450:4.043+0\left|L_{uckGrade}-3420\right|,3450 \le L_{uckGrade}<3460:4.055+0\left|L_{uckGrade}-3450\right|,3460 \le L_{uckGrade}<3580:4.06+0\left|L_{uckGrade}-3460\right|,3580 \le L_{uckGrade}<3590:4.108+0\left|L_{uckGrade}-3580\right|,3590 \le L_{uckGrade}<3630:4.111+0\left|L_{uckGrade}-3590\right|,3630 \le L_{uckGrade}<3640:4.127+0\left|L_{uckGrade}-3630\right|,3640 \le L_{uckGrade}<3660:4.13+0\left|L_{uckGrade}-3640\right|,3660 \le L_{uckGrade}<3670:4.138+0\left|L_{uckGrade}-3660\right|,3670 \le L_{uckGrade}<3680:4.141+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3690:4.145+0\left|L_{uckGrade}-3680\right|,3690 \le L_{uckGrade}<3700:4.148+0\left|L_{uckGrade}-3690\right|,3700 \le L_{uckGrade}<3710:4.152+0\left|L_{uckGrade}-3700\right|,3710 \le L_{uckGrade}<3720:4.155+0\left|L_{uckGrade}-3710\right|,3720 \le L_{uckGrade}<3730:4.159+0\left|L_{uckGrade}-3720\right|,3730 \le L_{uckGrade}<3740:4.162+0\left|L_{uckGrade}-3730\right|,3740 \le L_{uckGrade}<3750:4.166+0\left|L_{uckGrade}-3740\right|,3750 \le L_{uckGrade}<3760:4.169+0\left|L_{uckGrade}-3750\right|,3760 \le L_{uckGrade}<3790:4.173+0\left|L_{uckGrade}-3760\right|,3790 \le L_{uckGrade}<3800:4.182+0\left|L_{uckGrade}-3790\right|,3800 \le L_{uckGrade}<3830:4.186+0\left|L_{uckGrade}-3800\right|,3830 \le L_{uckGrade}<3840:4.195+0\left|L_{uckGrade}-3830\right|,3840 \le L_{uckGrade}<3940:4.199+0\left|L_{uckGrade}-3840\right|,3940 \le L_{uckGrade}<3950:4.229+0\left|L_{uckGrade}-3940\right|,3950 \le L_{uckGrade}<3990:4.231+0\left|L_{uckGrade}-3950\right|,3990 \le L_{uckGrade}<4000:4.243+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4020:4.245+0\left|L_{uckGrade}-4000\right|,4020 \le L_{uckGrade}<4030:4.251+0\left|L_{uckGrade}-4020\right|,4030 \le L_{uckGrade}<4050:4.253+0\left|L_{uckGrade}-4030\right|,4050 \le L_{uckGrade}<4060:4.259+0\left|L_{uckGrade}-4050\right|,4060 \le L_{uckGrade}<4070:4.261+0\left|L_{uckGrade}-4060\right|,4070 \le L_{uckGrade}<4080:4.264+0\left|L_{uckGrade}-4070\right|,4080 \le L_{uckGrade}<4090:4.266+0\left|L_{uckGrade}-4080\right|,4090 \le L_{uckGrade}<4100:4.269+0\left|L_{uckGrade}-4090\right|,4100 \le L_{uckGrade}<4110:4.271+0\left|L_{uckGrade}-4100\right|,4110 \le L_{uckGrade}<4130:4.274+0\left|L_{uckGrade}-4110\right|,4130 \le L_{uckGrade}<4140:4.278+0\left|L_{uckGrade}-4130\right|,4140 \le L_{uckGrade}<4160:4.281+0\left|L_{uckGrade}-4140\right|,4160 \le L_{uckGrade}<4170:4.285+0\left|L_{uckGrade}-4160\right|,4170 \le L_{uckGrade}<4210:4.288+0\left|L_{uckGrade}-4170\right|,4210 \le L_{uckGrade}<4220:4.296+0\left|L_{uckGrade}-4210\right|,4220 \le L_{uckGrade}<4310:4.299+0\left|L_{uckGrade}-4220\right|,4310 \le L_{uckGrade}<4320:4.317+0\left|L_{uckGrade}-4310\right|,4320 \le L_{uckGrade}<4360:4.318+0\left|L_{uckGrade}-4320\right|,4360 \le L_{uckGrade}<4370:4.326+0\left|L_{uckGrade}-4360\right|,4370 \le L_{uckGrade}<4390:4.327+0\left|L_{uckGrade}-4370\right|,4390 \le L_{uckGrade}<4400:4.331+0\left|L_{uckGrade}-4390\right|,4400 \le L_{uckGrade}<4420:4.332+0\left|L_{uckGrade}-4400\right|,4420 \le L_{uckGrade}<4430:4.336+0\left|L_{uckGrade}-4420\right|,4430 \le L_{uckGrade}<4440:4.337+0\left|L_{uckGrade}-4430\right|,4440 \le L_{uckGrade}<4450:4.339+0\left|L_{uckGrade}-4440\right|,4450 \le L_{uckGrade}<4460:4.34+0\left|L_{uckGrade}-4450\right|,4460 \le L_{uckGrade}<4470:4.342+0\left|L_{uckGrade}-4460\right|,4470 \le L_{uckGrade}<4480:4.343+0\left|L_{uckGrade}-4470\right|,4480 \le L_{uckGrade}<4500:4.345+0\left|L_{uckGrade}-4480\right|,4500 \le L_{uckGrade}<4510:4.347+0\left|L_{uckGrade}-4500\right|,4510 \le L_{uckGrade}<4530:4.349+0\left|L_{uckGrade}-4510\right|,4530 \le L_{uckGrade}<4540:4.351+0\left|L_{uckGrade}-4530\right|,4540 \le L_{uckGrade}<4580:4.353+0\left|L_{uckGrade}-4540\right|,4580 \le L_{uckGrade}<4590:4.357+0\left|L_{uckGrade}-4580\right|,4590 \le L_{uckGrade}<4670:4.359+0\left|L_{uckGrade}-4590\right|,4670 \le L_{uckGrade}<4680:4.367+0\left|L_{uckGrade}-4670\right|,4680 \le L_{uckGrade}<4730:4.367+0\left|L_{uckGrade}-4680\right|,4730 \le L_{uckGrade}<4740:4.372+0\left|L_{uckGrade}-4730\right|,4740 \le L_{uckGrade}<4760:4.372+0\left|L_{uckGrade}-4740\right|,4760 \le L_{uckGrade}<4770:4.374+0\left|L_{uckGrade}-4760\right|,4770 \le L_{uckGrade}<4790:4.374+0\left|L_{uckGrade}-4770\right|,4790 \le L_{uckGrade}<4800:4.376+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4810:4.376+0\left|L_{uckGrade}-4800\right|,4810 \le L_{uckGrade}<4820:4.377+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4830:4.377+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4840:4.378+0\left|L_{uckGrade}-4830\right|,4840 \le L_{uckGrade}<4850:4.378+0\left|L_{uckGrade}-4840\right|,4850 \le L_{uckGrade}<4870:4.379+0\left|L_{uckGrade}-4850\right|,4870 \le L_{uckGrade}<4880:4.379+0\left|L_{uckGrade}-4870\right|,4880 \le L_{uckGrade}<4900:4.38+0\left|L_{uckGrade}-4880\right|,4900 \le L_{uckGrade}<4910:4.38+0\left|L_{uckGrade}-4900\right|,4910 \le L_{uckGrade}<4960:4.381+0\left|L_{uckGrade}-4910\right|,4960 \le L_{uckGrade}<4970:4.381+0\left|L_{uckGrade}-4960\right|,4970 \le L_{uckGrade}<5000:4.382+0\left|L_{uckGrade}-4970\right|\right\}

See Example for how to use.

After:

012345678

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade00}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<5000:1+0\left|L_{uckGrade}-0\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade01}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<5000:1+0\left|L_{uckGrade}-0\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade02}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<5000:1+0\left|L_{uckGrade}-0\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade03}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<5000:1+0\left|L_{uckGrade}-0\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade04}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<130:1+0\left|L_{uckGrade}-0\right|,130 \le L_{uckGrade}<140:1.039+0\left|L_{uckGrade}-130\right|,140 \le L_{uckGrade}<220:1.041+0\left|L_{uckGrade}-140\right|,220 \le L_{uckGrade}<230:1.065+0\left|L_{uckGrade}-220\right|,230 \le L_{uckGrade}<290:1.067+0\left|L_{uckGrade}-230\right|,290 \le L_{uckGrade}<300:1.085+0\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<340:1.087+0\left|L_{uckGrade}-300\right|,340 \le L_{uckGrade}<350:1.099+0\left|L_{uckGrade}-340\right|,350 \le L_{uckGrade}<390:1.101+0\left|L_{uckGrade}-350\right|,390 \le L_{uckGrade}<400:1.113+0\left|L_{uckGrade}-390\right|,400 \le L_{uckGrade}<430:1.115+0\left|L_{uckGrade}-400\right|,430 \le L_{uckGrade}<440:1.124+0\left|L_{uckGrade}-430\right|,440 \le L_{uckGrade}<470:1.126+0\left|L_{uckGrade}-440\right|,470 \le L_{uckGrade}<480:1.135+0\left|L_{uckGrade}-470\right|,480 \le L_{uckGrade}<500:1.137+0\left|L_{uckGrade}-480\right|,500 \le L_{uckGrade}<510:1.143+0\left|L_{uckGrade}-500\right|,510 \le L_{uckGrade}<530:1.145+0\left|L_{uckGrade}-510\right|,530 \le L_{uckGrade}<540:1.151+0\left|L_{uckGrade}-530\right|,540 \le L_{uckGrade}<560:1.153+0\left|L_{uckGrade}-540\right|,560 \le L_{uckGrade}<570:1.159+0\left|L_{uckGrade}-560\right|,570 \le L_{uckGrade}<590:1.161+0\left|L_{uckGrade}-570\right|,590 \le L_{uckGrade}<600:1.167+0\left|L_{uckGrade}-590\right|,600 \le L_{uckGrade}<620:1.169+0\left|L_{uckGrade}-600\right|,620 \le L_{uckGrade}<630:1.175+0\left|L_{uckGrade}-620\right|,630 \le L_{uckGrade}<650:1.177+0\left|L_{uckGrade}-630\right|,650 \le L_{uckGrade}<660:1.183+0\left|L_{uckGrade}-650\right|,660 \le L_{uckGrade}<670:1.185+0\left|L_{uckGrade}-660\right|,670 \le L_{uckGrade}<680:1.188+0\left|L_{uckGrade}-670\right|,680 \le L_{uckGrade}<700:1.19+0\left|L_{uckGrade}-680\right|,700 \le L_{uckGrade}<710:1.196+0\left|L_{uckGrade}-700\right|,710 \le L_{uckGrade}<720:1.198+0\left|L_{uckGrade}-710\right|,720 \le L_{uckGrade}<730:1.201+0\left|L_{uckGrade}-720\right|,730 \le L_{uckGrade}<740:1.203+0\left|L_{uckGrade}-730\right|,740 \le L_{uckGrade}<750:1.206+0\left|L_{uckGrade}-740\right|,750 \le L_{uckGrade}<760:1.208+0\left|L_{uckGrade}-750\right|,760 \le L_{uckGrade}<770:1.211+0\left|L_{uckGrade}-760\right|,770 \le L_{uckGrade}<790:1.213+0\left|L_{uckGrade}-770\right|,790 \le L_{uckGrade}<800:1.219+0\left|L_{uckGrade}-790\right|,800 \le L_{uckGrade}<810:1.221+0\left|L_{uckGrade}-800\right|,810 \le L_{uckGrade}<820:1.224+0\left|L_{uckGrade}-810\right|,820 \le L_{uckGrade}<830:1.226+0\left|L_{uckGrade}-820\right|,830 \le L_{uckGrade}<840:1.229+0\left|L_{uckGrade}-830\right|,840 \le L_{uckGrade}<850:1.231+0\left|L_{uckGrade}-840\right|,850 \le L_{uckGrade}<860:1.234+0\left|L_{uckGrade}-850\right|,860 \le L_{uckGrade}<870:1.236+0\left|L_{uckGrade}-860\right|,870 \le L_{uckGrade}<880:1.239+0\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<890:1.241+0\left|L_{uckGrade}-880\right|,890 \le L_{uckGrade}<910:1.244+0\left|L_{uckGrade}-890\right|,910 \le L_{uckGrade}<920:1.248+0\left|L_{uckGrade}-910\right|,920 \le L_{uckGrade}<930:1.251+0\left|L_{uckGrade}-920\right|,930 \le L_{uckGrade}<940:1.253+0\left|L_{uckGrade}-930\right|,940 \le L_{uckGrade}<950:1.256+0\left|L_{uckGrade}-940\right|,950 \le L_{uckGrade}<960:1.258+0\left|L_{uckGrade}-950\right|,960 \le L_{uckGrade}<980:1.261+0\left|L_{uckGrade}-960\right|,980 \le L_{uckGrade}<990:1.265+0\left|L_{uckGrade}-980\right|,990 \le L_{uckGrade}<1000:1.268+0\left|L_{uckGrade}-990\right|,1000 \le L_{uckGrade}<1010:1.27+0\left|L_{uckGrade}-1000\right|,1010 \le L_{uckGrade}<1030:1.273+0\left|L_{uckGrade}-1010\right|,1030 \le L_{uckGrade}<1040:1.277+0\left|L_{uckGrade}-1030\right|,1040 \le L_{uckGrade}<1050:1.28+0\left|L_{uckGrade}-1040\right|,1050 \le L_{uckGrade}<1060:1.282+0\left|L_{uckGrade}-1050\right|,1060 \le L_{uckGrade}<1080:1.285+0\left|L_{uckGrade}-1060\right|,1080 \le L_{uckGrade}<1090:1.289+0\left|L_{uckGrade}-1080\right|,1090 \le L_{uckGrade}<1110:1.292+0\left|L_{uckGrade}-1090\right|,1110 \le L_{uckGrade}<1120:1.296+0\left|L_{uckGrade}-1110\right|,1120 \le L_{uckGrade}<1140:1.299+0\left|L_{uckGrade}-1120\right|,1140 \le L_{uckGrade}<1150:1.303+0\left|L_{uckGrade}-1140\right|,1150 \le L_{uckGrade}<1170:1.306+0\left|L_{uckGrade}-1150\right|,1170 \le L_{uckGrade}<1180:1.31+0\left|L_{uckGrade}-1170\right|,1180 \le L_{uckGrade}<1210:1.313+0\left|L_{uckGrade}-1180\right|,1210 \le L_{uckGrade}<1220:1.319+0\left|L_{uckGrade}-1210\right|,1220 \le L_{uckGrade}<1240:1.322+0\left|L_{uckGrade}-1220\right|,1240 \le L_{uckGrade}<1250:1.326+0\left|L_{uckGrade}-1240\right|,1250 \le L_{uckGrade}<1290:1.329+0\left|L_{uckGrade}-1250\right|,1290 \le L_{uckGrade}<1300:1.337+0\left|L_{uckGrade}-1290\right|,1300 \le L_{uckGrade}<1330:1.34+0\left|L_{uckGrade}-1300\right|,1330 \le L_{uckGrade}<1340:1.346+0\left|L_{uckGrade}-1330\right|,1340 \le L_{uckGrade}<1390:1.349+0\left|L_{uckGrade}-1340\right|,1390 \le L_{uckGrade}<1400:1.359+0\left|L_{uckGrade}-1390\right|,1400 \le L_{uckGrade}<1460:1.362+0\left|L_{uckGrade}-1400\right|,1460 \le L_{uckGrade}<1470:1.374+0\left|L_{uckGrade}-1460\right|,1470 \le L_{uckGrade}<1560:1.377+0\left|L_{uckGrade}-1470\right|,1560 \le L_{uckGrade}<1570:1.395+0\left|L_{uckGrade}-1560\right|,1570 \le L_{uckGrade}<1770:1.398+0\left|L_{uckGrade}-1570\right|,1770 \le L_{uckGrade}<1780:1.438+0\left|L_{uckGrade}-1770\right|,1780 \le L_{uckGrade}<1880:1.439+0\left|L_{uckGrade}-1780\right|,1880 \le L_{uckGrade}<1890:1.459+0\left|L_{uckGrade}-1880\right|,1890 \le L_{uckGrade}<1950:1.46+0\left|L_{uckGrade}-1890\right|,1950 \le L_{uckGrade}<1960:1.472+0\left|L_{uckGrade}-1950\right|,1960 \le L_{uckGrade}<2000:1.473+0\left|L_{uckGrade}-1960\right|,2000 \le L_{uckGrade}<2010:1.481+0\left|L_{uckGrade}-2000\right|,2010 \le L_{uckGrade}<2050:1.482+0\left|L_{uckGrade}-2010\right|,2050 \le L_{uckGrade}<2060:1.49+0\left|L_{uckGrade}-2050\right|,2060 \le L_{uckGrade}<2090:1.491+0\left|L_{uckGrade}-2060\right|,2090 \le L_{uckGrade}<2100:1.497+0\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2130:1.498+0\left|L_{uckGrade}-2100\right|,2130 \le L_{uckGrade}<2140:1.504+0\left|L_{uckGrade}-2130\right|,2140 \le L_{uckGrade}<2160:1.505+0\left|L_{uckGrade}-2140\right|,2160 \le L_{uckGrade}<2170:1.509+0\left|L_{uckGrade}-2160\right|,2170 \le L_{uckGrade}<2190:1.51+0\left|L_{uckGrade}-2170\right|,2190 \le L_{uckGrade}<2200:1.514+0\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2220:1.515+0\left|L_{uckGrade}-2200\right|,2220 \le L_{uckGrade}<2230:1.519+0\left|L_{uckGrade}-2220\right|,2230 \le L_{uckGrade}<2250:1.52+0\left|L_{uckGrade}-2230\right|,2250 \le L_{uckGrade}<2260:1.524+0\left|L_{uckGrade}-2250\right|,2260 \le L_{uckGrade}<2280:1.525+0\left|L_{uckGrade}-2260\right|,2280 \le L_{uckGrade}<2290:1.529+0\left|L_{uckGrade}-2280\right|,2290 \le L_{uckGrade}<2310:1.53+0\left|L_{uckGrade}-2290\right|,2310 \le L_{uckGrade}<2320:1.534+0\left|L_{uckGrade}-2310\right|,2320 \le L_{uckGrade}<2330:1.535+0\left|L_{uckGrade}-2320\right|,2330 \le L_{uckGrade}<2340:1.537+0\left|L_{uckGrade}-2330\right|,2340 \le L_{uckGrade}<2360:1.538+0\left|L_{uckGrade}-2340\right|,2360 \le L_{uckGrade}<2370:1.542+0\left|L_{uckGrade}-2360\right|,2370 \le L_{uckGrade}<2380:1.543+0\left|L_{uckGrade}-2370\right|,2380 \le L_{uckGrade}<2390:1.545+0\left|L_{uckGrade}-2380\right|,2390 \le L_{uckGrade}<2400:1.546+0\left|L_{uckGrade}-2390\right|,2400 \le L_{uckGrade}<2410:1.548+0\left|L_{uckGrade}-2400\right|,2410 \le L_{uckGrade}<2430:1.549+0\left|L_{uckGrade}-2410\right|,2430 \le L_{uckGrade}<2440:1.553+0\left|L_{uckGrade}-2430\right|,2440 \le L_{uckGrade}<2450:1.554+0\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2460:1.556+0\left|L_{uckGrade}-2450\right|,2460 \le L_{uckGrade}<2470:1.557+0\left|L_{uckGrade}-2460\right|,2470 \le L_{uckGrade}<2480:1.559+0\left|L_{uckGrade}-2470\right|,2480 \le L_{uckGrade}<2490:1.56+0\left|L_{uckGrade}-2480\right|,2490 \le L_{uckGrade}<2500:1.562+0\left|L_{uckGrade}-2490\right|,2500 \le L_{uckGrade}<2510:1.563+0\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2520:1.565+0\left|L_{uckGrade}-2510\right|,2520 \le L_{uckGrade}<2530:1.566+0\left|L_{uckGrade}-2520\right|,2530 \le L_{uckGrade}<2540:1.568+0\left|L_{uckGrade}-2530\right|,2540 \le L_{uckGrade}<2550:1.569+0\left|L_{uckGrade}-2540\right|,2550 \le L_{uckGrade}<2560:1.571+0\left|L_{uckGrade}-2550\right|,2560 \le L_{uckGrade}<2570:1.572+0\left|L_{uckGrade}-2560\right|,2570 \le L_{uckGrade}<2580:1.574+0\left|L_{uckGrade}-2570\right|,2580 \le L_{uckGrade}<2590:1.575+0\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2610:1.577+0\left|L_{uckGrade}-2590\right|,2610 \le L_{uckGrade}<2620:1.579+0\left|L_{uckGrade}-2610\right|,2620 \le L_{uckGrade}<2630:1.581+0\left|L_{uckGrade}-2620\right|,2630 \le L_{uckGrade}<2640:1.582+0\left|L_{uckGrade}-2630\right|,2640 \le L_{uckGrade}<2650:1.584+0\left|L_{uckGrade}-2640\right|,2650 \le L_{uckGrade}<2660:1.585+0\left|L_{uckGrade}-2650\right|,2660 \le L_{uckGrade}<2680:1.587+0\left|L_{uckGrade}-2660\right|,2680 \le L_{uckGrade}<2690:1.589+0\left|L_{uckGrade}-2680\right|,2690 \le L_{uckGrade}<2710:1.591+0\left|L_{uckGrade}-2690\right|,2710 \le L_{uckGrade}<2720:1.593+0\left|L_{uckGrade}-2710\right|,2720 \le L_{uckGrade}<2730:1.595+0\left|L_{uckGrade}-2720\right|,2730 \le L_{uckGrade}<2740:1.596+0\left|L_{uckGrade}-2730\right|,2740 \le L_{uckGrade}<2760:1.598+0\left|L_{uckGrade}-2740\right|,2760 \le L_{uckGrade}<2770:1.6+0\left|L_{uckGrade}-2760\right|,2770 \le L_{uckGrade}<2790:1.602+0\left|L_{uckGrade}-2770\right|,2790 \le L_{uckGrade}<2800:1.604+0\left|L_{uckGrade}-2790\right|,2800 \le L_{uckGrade}<2820:1.606+0\left|L_{uckGrade}-2800\right|,2820 \le L_{uckGrade}<2830:1.608+0\left|L_{uckGrade}-2820\right|,2830 \le L_{uckGrade}<2860:1.61+0\left|L_{uckGrade}-2830\right|,2860 \le L_{uckGrade}<2870:1.613+0\left|L_{uckGrade}-2860\right|,2870 \le L_{uckGrade}<2890:1.615+0\left|L_{uckGrade}-2870\right|,2890 \le L_{uckGrade}<2900:1.617+0\left|L_{uckGrade}-2890\right|,2900 \le L_{uckGrade}<2930:1.619+0\left|L_{uckGrade}-2900\right|,2930 \le L_{uckGrade}<2940:1.622+0\left|L_{uckGrade}-2930\right|,2940 \le L_{uckGrade}<2980:1.624+0\left|L_{uckGrade}-2940\right|,2980 \le L_{uckGrade}<2990:1.628+0\left|L_{uckGrade}-2980\right|,2990 \le L_{uckGrade}<3030:1.63+0\left|L_{uckGrade}-2990\right|,3030 \le L_{uckGrade}<3040:1.634+0\left|L_{uckGrade}-3030\right|,3040 \le L_{uckGrade}<3090:1.636+0\left|L_{uckGrade}-3040\right|,3090 \le L_{uckGrade}<3100:1.641+0\left|L_{uckGrade}-3090\right|,3100 \le L_{uckGrade}<3170:1.643+0\left|L_{uckGrade}-3100\right|,3170 \le L_{uckGrade}<3180:1.65+0\left|L_{uckGrade}-3170\right|,3180 \le L_{uckGrade}<3500:1.652+0\left|L_{uckGrade}-3180\right|,3500 \le L_{uckGrade}<3510:1.684+0\left|L_{uckGrade}-3500\right|,3510 \le L_{uckGrade}<3580:1.684+0\left|L_{uckGrade}-3510\right|,3580 \le L_{uckGrade}<3590:1.691+0\left|L_{uckGrade}-3580\right|,3590 \le L_{uckGrade}<3640:1.691+0\left|L_{uckGrade}-3590\right|,3640 \le L_{uckGrade}<3650:1.696+0\left|L_{uckGrade}-3640\right|,3650 \le L_{uckGrade}<3690:1.696+0\left|L_{uckGrade}-3650\right|,3690 \le L_{uckGrade}<3700:1.7+0\left|L_{uckGrade}-3690\right|,3700 \le L_{uckGrade}<3730:1.7+0\left|L_{uckGrade}-3700\right|,3730 \le L_{uckGrade}<3740:1.703+0\left|L_{uckGrade}-3730\right|,3740 \le L_{uckGrade}<3770:1.703+0\left|L_{uckGrade}-3740\right|,3770 \le L_{uckGrade}<3780:1.706+0\left|L_{uckGrade}-3770\right|,3780 \le L_{uckGrade}<3810:1.706+0\left|L_{uckGrade}-3780\right|,3810 \le L_{uckGrade}<3820:1.709+0\left|L_{uckGrade}-3810\right|,3820 \le L_{uckGrade}<3840:1.709+0\left|L_{uckGrade}-3820\right|,3840 \le L_{uckGrade}<3850:1.711+0\left|L_{uckGrade}-3840\right|,3850 \le L_{uckGrade}<3880:1.711+0\left|L_{uckGrade}-3850\right|,3880 \le L_{uckGrade}<3890:1.714+0\left|L_{uckGrade}-3880\right|,3890 \le L_{uckGrade}<3910:1.714+0\left|L_{uckGrade}-3890\right|,3910 \le L_{uckGrade}<3920:1.716+0\left|L_{uckGrade}-3910\right|,3920 \le L_{uckGrade}<3930:1.716+0\left|L_{uckGrade}-3920\right|,3930 \le L_{uckGrade}<3940:1.717+0\left|L_{uckGrade}-3930\right|,3940 \le L_{uckGrade}<3960:1.717+0\left|L_{uckGrade}-3940\right|,3960 \le L_{uckGrade}<3970:1.719+0\left|L_{uckGrade}-3960\right|,3970 \le L_{uckGrade}<3990:1.719+0\left|L_{uckGrade}-3970\right|,3990 \le L_{uckGrade}<4000:1.721+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4010:1.721+0\left|L_{uckGrade}-4000\right|,4010 \le L_{uckGrade}<4020:1.722+0\left|L_{uckGrade}-4010\right|,4020 \le L_{uckGrade}<4040:1.722+0\left|L_{uckGrade}-4020\right|,4040 \le L_{uckGrade}<4050:1.724+0\left|L_{uckGrade}-4040\right|,4050 \le L_{uckGrade}<4060:1.724+0\left|L_{uckGrade}-4050\right|,4060 \le L_{uckGrade}<4070:1.725+0\left|L_{uckGrade}-4060\right|,4070 \le L_{uckGrade}<4080:1.725+0\left|L_{uckGrade}-4070\right|,4080 \le L_{uckGrade}<4090:1.726+0\left|L_{uckGrade}-4080\right|,4090 \le L_{uckGrade}<4100:1.726+0\left|L_{uckGrade}-4090\right|,4100 \le L_{uckGrade}<4110:1.727+0\left|L_{uckGrade}-4100\right|,4110 \le L_{uckGrade}<4130:1.727+0\left|L_{uckGrade}-4110\right|,4130 \le L_{uckGrade}<4140:1.729+0\left|L_{uckGrade}-4130\right|,4140 \le L_{uckGrade}<4150:1.729+0\left|L_{uckGrade}-4140\right|,4150 \le L_{uckGrade}<4160:1.73+0\left|L_{uckGrade}-4150\right|,4160 \le L_{uckGrade}<4170:1.73+0\left|L_{uckGrade}-4160\right|,4170 \le L_{uckGrade}<4180:1.731+0\left|L_{uckGrade}-4170\right|,4180 \le L_{uckGrade}<4190:1.731+0\left|L_{uckGrade}-4180\right|,4190 \le L_{uckGrade}<4200:1.732+0\left|L_{uckGrade}-4190\right|,4200 \le L_{uckGrade}<4210:1.732+0\left|L_{uckGrade}-4200\right|,4210 \le L_{uckGrade}<4230:1.733+0\left|L_{uckGrade}-4210\right|,4230 \le L_{uckGrade}<4240:1.733+0\left|L_{uckGrade}-4230\right|,4240 \le L_{uckGrade}<4250:1.734+0\left|L_{uckGrade}-4240\right|,4250 \le L_{uckGrade}<4260:1.734+0\left|L_{uckGrade}-4250\right|,4260 \le L_{uckGrade}<4270:1.735+0\left|L_{uckGrade}-4260\right|,4270 \le L_{uckGrade}<4280:1.735+0\left|L_{uckGrade}-4270\right|,4280 \le L_{uckGrade}<4290:1.736+0\left|L_{uckGrade}-4280\right|,4290 \le L_{uckGrade}<4300:1.736+0\left|L_{uckGrade}-4290\right|,4300 \le L_{uckGrade}<4320:1.737+0\left|L_{uckGrade}-4300\right|,4320 \le L_{uckGrade}<4330:1.737+0\left|L_{uckGrade}-4320\right|,4330 \le L_{uckGrade}<4340:1.738+0\left|L_{uckGrade}-4330\right|,4340 \le L_{uckGrade}<4350:1.738+0\left|L_{uckGrade}-4340\right|,4350 \le L_{uckGrade}<4370:1.739+0\left|L_{uckGrade}-4350\right|,4370 \le L_{uckGrade}<4380:1.739+0\left|L_{uckGrade}-4370\right|,4380 \le L_{uckGrade}<4390:1.74+0\left|L_{uckGrade}-4380\right|,4390 \le L_{uckGrade}<4400:1.74+0\left|L_{uckGrade}-4390\right|,4400 \le L_{uckGrade}<4420:1.741+0\left|L_{uckGrade}-4400\right|,4420 \le L_{uckGrade}<4430:1.741+0\left|L_{uckGrade}-4420\right|,4430 \le L_{uckGrade}<4450:1.742+0\left|L_{uckGrade}-4430\right|,4450 \le L_{uckGrade}<4460:1.742+0\left|L_{uckGrade}-4450\right|,4460 \le L_{uckGrade}<4480:1.743+0\left|L_{uckGrade}-4460\right|,4480 \le L_{uckGrade}<4490:1.743+0\left|L_{uckGrade}-4480\right|,4490 \le L_{uckGrade}<4520:1.744+0\left|L_{uckGrade}-4490\right|,4520 \le L_{uckGrade}<4530:1.744+0\left|L_{uckGrade}-4520\right|,4530 \le L_{uckGrade}<4550:1.745+0\left|L_{uckGrade}-4530\right|,4550 \le L_{uckGrade}<4560:1.745+0\left|L_{uckGrade}-4550\right|,4560 \le L_{uckGrade}<4590:1.746+0\left|L_{uckGrade}-4560\right|,4590 \le L_{uckGrade}<4600:1.746+0\left|L_{uckGrade}-4590\right|,4600 \le L_{uckGrade}<4630:1.747+0\left|L_{uckGrade}-4600\right|,4630 \le L_{uckGrade}<4640:1.747+0\left|L_{uckGrade}-4630\right|,4640 \le L_{uckGrade}<4680:1.748+0\left|L_{uckGrade}-4640\right|,4680 \le L_{uckGrade}<4690:1.748+0\left|L_{uckGrade}-4680\right|,4690 \le L_{uckGrade}<4740:1.749+0\left|L_{uckGrade}-4690\right|,4740 \le L_{uckGrade}<4750:1.749+0\left|L_{uckGrade}-4740\right|,4750 \le L_{uckGrade}<4820:1.75+0\left|L_{uckGrade}-4750\right|,4820 \le L_{uckGrade}<4830:1.75+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4990:1.751+0\left|L_{uckGrade}-4830\right|,4990 \le L_{uckGrade}<5000:1.751+0\left|L_{uckGrade}-4990\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade05}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<10:1+0.001\left|L_{uckGrade}-0\right|,10 \le L_{uckGrade}<20:1.006+0.001\left|L_{uckGrade}-10\right|,20 \le L_{uckGrade}<50:1.013+0.001\left|L_{uckGrade}-20\right|,50 \le L_{uckGrade}<60:1.031+0.001\left|L_{uckGrade}-50\right|,60 \le L_{uckGrade}<90:1.038+0.001\left|L_{uckGrade}-60\right|,90 \le L_{uckGrade}<100:1.056+0.001\left|L_{uckGrade}-90\right|,100 \le L_{uckGrade}<140:1.063+0.001\left|L_{uckGrade}-100\right|,140 \le L_{uckGrade}<150:1.087+0.001\left|L_{uckGrade}-140\right|,150 \le L_{uckGrade}<370:1.094+0.001\left|L_{uckGrade}-150\right|,370 \le L_{uckGrade}<380:1.226+0.001\left|L_{uckGrade}-370\right|,380 \le L_{uckGrade}<430:1.231+0.001\left|L_{uckGrade}-380\right|,430 \le L_{uckGrade}<440:1.261+0.001\left|L_{uckGrade}-430\right|,440 \le L_{uckGrade}<470:1.266+0.001\left|L_{uckGrade}-440\right|,470 \le L_{uckGrade}<480:1.284+0\left|L_{uckGrade}-470\right|,480 \le L_{uckGrade}<500:1.289+0.001\left|L_{uckGrade}-480\right|,500 \le L_{uckGrade}<510:1.301+0.001\left|L_{uckGrade}-500\right|,510 \le L_{uckGrade}<530:1.306+0.001\left|L_{uckGrade}-510\right|,530 \le L_{uckGrade}<540:1.318+0\left|L_{uckGrade}-530\right|,540 \le L_{uckGrade}<560:1.323+0.001\left|L_{uckGrade}-540\right|,560 \le L_{uckGrade}<570:1.335+0.001\left|L_{uckGrade}-560\right|,570 \le L_{uckGrade}<590:1.34+0.001\left|L_{uckGrade}-570\right|,590 \le L_{uckGrade}<600:1.352+0\left|L_{uckGrade}-590\right|,600 \le L_{uckGrade}<610:1.357+0.001\left|L_{uckGrade}-600\right|,610 \le L_{uckGrade}<620:1.363+0.001\left|L_{uckGrade}-610\right|,620 \le L_{uckGrade}<630:1.368+0.001\left|L_{uckGrade}-620\right|,630 \le L_{uckGrade}<640:1.374+0\left|L_{uckGrade}-630\right|,640 \le L_{uckGrade}<650:1.379+0.001\left|L_{uckGrade}-640\right|,650 \le L_{uckGrade}<660:1.385+0\left|L_{uckGrade}-650\right|,660 \le L_{uckGrade}<670:1.39+0.001\left|L_{uckGrade}-660\right|,670 \le L_{uckGrade}<680:1.396+0.001\left|L_{uckGrade}-670\right|,680 \le L_{uckGrade}<690:1.401+0.001\left|L_{uckGrade}-680\right|,690 \le L_{uckGrade}<700:1.407+0\left|L_{uckGrade}-690\right|,700 \le L_{uckGrade}<710:1.412+0.001\left|L_{uckGrade}-700\right|,710 \le L_{uckGrade}<730:1.418+0.001\left|L_{uckGrade}-710\right|,730 \le L_{uckGrade}<740:1.428+0.001\left|L_{uckGrade}-730\right|,740 \le L_{uckGrade}<750:1.434+0.001\left|L_{uckGrade}-740\right|,750 \le L_{uckGrade}<760:1.439+0.001\left|L_{uckGrade}-750\right|,760 \le L_{uckGrade}<780:1.445+0.001\left|L_{uckGrade}-760\right|,780 \le L_{uckGrade}<790:1.455+0.001\left|L_{uckGrade}-780\right|,790 \le L_{uckGrade}<810:1.461+0.001\left|L_{uckGrade}-790\right|,810 \le L_{uckGrade}<820:1.471+0.001\left|L_{uckGrade}-810\right|,820 \le L_{uckGrade}<850:1.477+0\left|L_{uckGrade}-820\right|,850 \le L_{uckGrade}<860:1.492+0.001\left|L_{uckGrade}-850\right|,860 \le L_{uckGrade}<890:1.498+0\left|L_{uckGrade}-860\right|,890 \le L_{uckGrade}<900:1.513+0.001\left|L_{uckGrade}-890\right|,900 \le L_{uckGrade}<950:1.519+0.001\left|L_{uckGrade}-900\right|,950 \le L_{uckGrade}<960:1.544+0.001\left|L_{uckGrade}-950\right|,960 \le L_{uckGrade}<1140:1.55+0\left|L_{uckGrade}-960\right|,1140 \le L_{uckGrade}<1150:1.64+0\left|L_{uckGrade}-1140\right|,1150 \le L_{uckGrade}<1200:1.644+0.001\left|L_{uckGrade}-1150\right|,1200 \le L_{uckGrade}<1210:1.669+0\left|L_{uckGrade}-1200\right|,1210 \le L_{uckGrade}<1250:1.673+0.001\left|L_{uckGrade}-1210\right|,1250 \le L_{uckGrade}<1260:1.693+0\left|L_{uckGrade}-1250\right|,1260 \le L_{uckGrade}<1280:1.697+0.001\left|L_{uckGrade}-1260\right|,1280 \le L_{uckGrade}<1290:1.707+0\left|L_{uckGrade}-1280\right|,1290 \le L_{uckGrade}<1320:1.711+0\left|L_{uckGrade}-1290\right|,1320 \le L_{uckGrade}<1330:1.726+0\left|L_{uckGrade}-1320\right|,1330 \le L_{uckGrade}<1340:1.73+0.001\left|L_{uckGrade}-1330\right|,1340 \le L_{uckGrade}<1350:1.735+0\left|L_{uckGrade}-1340\right|,1350 \le L_{uckGrade}<1370:1.739+0.001\left|L_{uckGrade}-1350\right|,1370 \le L_{uckGrade}<1380:1.749+0\left|L_{uckGrade}-1370\right|,1380 \le L_{uckGrade}<1390:1.753+0.001\left|L_{uckGrade}-1380\right|,1390 \le L_{uckGrade}<1400:1.758+0\left|L_{uckGrade}-1390\right|,1400 \le L_{uckGrade}<1420:1.762+0.001\left|L_{uckGrade}-1400\right|,1420 \le L_{uckGrade}<1430:1.772+0\left|L_{uckGrade}-1420\right|,1430 \le L_{uckGrade}<1440:1.776+0\left|L_{uckGrade}-1430\right|,1440 \le L_{uckGrade}<1450:1.781+0\left|L_{uckGrade}-1440\right|,1450 \le L_{uckGrade}<1460:1.785+0.001\left|L_{uckGrade}-1450\right|,1460 \le L_{uckGrade}<1480:1.79+0\left|L_{uckGrade}-1460\right|,1480 \le L_{uckGrade}<1490:1.798+0\left|L_{uckGrade}-1480\right|,1490 \le L_{uckGrade}<1500:1.803+0\left|L_{uckGrade}-1490\right|,1500 \le L_{uckGrade}<1510:1.807+0.001\left|L_{uckGrade}-1500\right|,1510 \le L_{uckGrade}<1520:1.812+0\left|L_{uckGrade}-1510\right|,1520 \le L_{uckGrade}<1530:1.816+0\left|L_{uckGrade}-1520\right|,1530 \le L_{uckGrade}<1550:1.821+0\left|L_{uckGrade}-1530\right|,1550 \le L_{uckGrade}<1560:1.829+0.001\left|L_{uckGrade}-1550\right|,1560 \le L_{uckGrade}<1580:1.834+0\left|L_{uckGrade}-1560\right|,1580 \le L_{uckGrade}<1590:1.842+0\left|L_{uckGrade}-1580\right|,1590 \le L_{uckGrade}<1610:1.847+0\left|L_{uckGrade}-1590\right|,1610 \le L_{uckGrade}<1620:1.855+0.001\left|L_{uckGrade}-1610\right|,1620 \le L_{uckGrade}<1650:1.86+0\left|L_{uckGrade}-1620\right|,1650 \le L_{uckGrade}<1660:1.872+0\left|L_{uckGrade}-1650\right|,1660 \le L_{uckGrade}<1690:1.877+0\left|L_{uckGrade}-1660\right|,1690 \le L_{uckGrade}<1700:1.889+0\left|L_{uckGrade}-1690\right|,1700 \le L_{uckGrade}<1770:1.894+0\left|L_{uckGrade}-1700\right|,1770 \le L_{uckGrade}<1780:1.922+0.001\left|L_{uckGrade}-1770\right|,1780 \le L_{uckGrade}<1910:1.927+0\left|L_{uckGrade}-1780\right|,1910 \le L_{uckGrade}<1920:1.979+0\left|L_{uckGrade}-1910\right|,1920 \le L_{uckGrade}<1980:1.982+0\left|L_{uckGrade}-1920\right|,1980 \le L_{uckGrade}<1990:2.006+0\left|L_{uckGrade}-1980\right|,1990 \le L_{uckGrade}<2030:2.009+0\left|L_{uckGrade}-1990\right|,2030 \le L_{uckGrade}<2040:2.025+0\left|L_{uckGrade}-2030\right|,2040 \le L_{uckGrade}<2070:2.028+0\left|L_{uckGrade}-2040\right|,2070 \le L_{uckGrade}<2080:2.04+0\left|L_{uckGrade}-2070\right|,2080 \le L_{uckGrade}<2100:2.043+0\left|L_{uckGrade}-2080\right|,2100 \le L_{uckGrade}<2110:2.051+0\left|L_{uckGrade}-2100\right|,2110 \le L_{uckGrade}<2130:2.054+0\left|L_{uckGrade}-2110\right|,2130 \le L_{uckGrade}<2140:2.062+0\left|L_{uckGrade}-2130\right|,2140 \le L_{uckGrade}<2150:2.065+0\left|L_{uckGrade}-2140\right|,2150 \le L_{uckGrade}<2160:2.069+0\left|L_{uckGrade}-2150\right|,2160 \le L_{uckGrade}<2180:2.072+0\left|L_{uckGrade}-2160\right|,2180 \le L_{uckGrade}<2190:2.08+0\left|L_{uckGrade}-2180\right|,2190 \le L_{uckGrade}<2200:2.083+0\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2210:2.087+0\left|L_{uckGrade}-2200\right|,2210 \le L_{uckGrade}<2220:2.09+0\left|L_{uckGrade}-2210\right|,2220 \le L_{uckGrade}<2230:2.094+0\left|L_{uckGrade}-2220\right|,2230 \le L_{uckGrade}<2240:2.097+0\left|L_{uckGrade}-2230\right|,2240 \le L_{uckGrade}<2250:2.101+0\left|L_{uckGrade}-2240\right|,2250 \le L_{uckGrade}<2260:2.104+0\left|L_{uckGrade}-2250\right|,2260 \le L_{uckGrade}<2270:2.108+0\left|L_{uckGrade}-2260\right|,2270 \le L_{uckGrade}<2280:2.111+0\left|L_{uckGrade}-2270\right|,2280 \le L_{uckGrade}<2290:2.115+0\left|L_{uckGrade}-2280\right|,2290 \le L_{uckGrade}<2300:2.118+0\left|L_{uckGrade}-2290\right|,2300 \le L_{uckGrade}<2320:2.122+0\left|L_{uckGrade}-2300\right|,2320 \le L_{uckGrade}<2330:2.128+0\left|L_{uckGrade}-2320\right|,2330 \le L_{uckGrade}<2340:2.132+0\left|L_{uckGrade}-2330\right|,2340 \le L_{uckGrade}<2350:2.135+0\left|L_{uckGrade}-2340\right|,2350 \le L_{uckGrade}<2370:2.139+0\left|L_{uckGrade}-2350\right|,2370 \le L_{uckGrade}<2380:2.145+0\left|L_{uckGrade}-2370\right|,2380 \le L_{uckGrade}<2410:2.149+0\left|L_{uckGrade}-2380\right|,2410 \le L_{uckGrade}<2420:2.158+0\left|L_{uckGrade}-2410\right|,2420 \le L_{uckGrade}<2440:2.162+0\left|L_{uckGrade}-2420\right|,2440 \le L_{uckGrade}<2450:2.168+0\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2490:2.172+0\left|L_{uckGrade}-2450\right|,2490 \le L_{uckGrade}<2500:2.184+0\left|L_{uckGrade}-2490\right|,2500 \le L_{uckGrade}<2580:2.188+0\left|L_{uckGrade}-2500\right|,2580 \le L_{uckGrade}<2590:2.212+0\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2680:2.216+0\left|L_{uckGrade}-2590\right|,2680 \le L_{uckGrade}<2690:2.243+0\left|L_{uckGrade}-2680\right|,2690 \le L_{uckGrade}<2760:2.245+0\left|L_{uckGrade}-2690\right|,2760 \le L_{uckGrade}<2770:2.266+0\left|L_{uckGrade}-2760\right|,2770 \le L_{uckGrade}<2810:2.268+0\left|L_{uckGrade}-2770\right|,2810 \le L_{uckGrade}<2820:2.28+0\left|L_{uckGrade}-2810\right|,2820 \le L_{uckGrade}<2850:2.282+0\left|L_{uckGrade}-2820\right|,2850 \le L_{uckGrade}<2860:2.291+0\left|L_{uckGrade}-2850\right|,2860 \le L_{uckGrade}<2880:2.293+0\left|L_{uckGrade}-2860\right|,2880 \le L_{uckGrade}<2890:2.299+0\left|L_{uckGrade}-2880\right|,2890 \le L_{uckGrade}<2910:2.301+0\left|L_{uckGrade}-2890\right|,2910 \le L_{uckGrade}<2920:2.307+0\left|L_{uckGrade}-2910\right|,2920 \le L_{uckGrade}<2940:2.309+0\left|L_{uckGrade}-2920\right|,2940 \le L_{uckGrade}<2950:2.315+0\left|L_{uckGrade}-2940\right|,2950 \le L_{uckGrade}<2960:2.317+0\left|L_{uckGrade}-2950\right|,2960 \le L_{uckGrade}<2970:2.32+0\left|L_{uckGrade}-2960\right|,2970 \le L_{uckGrade}<2990:2.322+0\left|L_{uckGrade}-2970\right|,2990 \le L_{uckGrade}<3000:2.328+0\left|L_{uckGrade}-2990\right|,3000 \le L_{uckGrade}<3010:2.33+0\left|L_{uckGrade}-3000\right|,3010 \le L_{uckGrade}<3020:2.333+0\left|L_{uckGrade}-3010\right|,3020 \le L_{uckGrade}<3030:2.335+0\left|L_{uckGrade}-3020\right|,3030 \le L_{uckGrade}<3040:2.338+0\left|L_{uckGrade}-3030\right|,3040 \le L_{uckGrade}<3050:2.34+0\left|L_{uckGrade}-3040\right|,3050 \le L_{uckGrade}<3060:2.343+0\left|L_{uckGrade}-3050\right|,3060 \le L_{uckGrade}<3070:2.345+0\left|L_{uckGrade}-3060\right|,3070 \le L_{uckGrade}<3090:2.348+0\left|L_{uckGrade}-3070\right|,3090 \le L_{uckGrade}<3100:2.352+0\left|L_{uckGrade}-3090\right|,3100 \le L_{uckGrade}<3110:2.355+0\left|L_{uckGrade}-3100\right|,3110 \le L_{uckGrade}<3120:2.357+0\left|L_{uckGrade}-3110\right|,3120 \le L_{uckGrade}<3140:2.36+0\left|L_{uckGrade}-3120\right|,3140 \le L_{uckGrade}<3150:2.364+0\left|L_{uckGrade}-3140\right|,3150 \le L_{uckGrade}<3170:2.367+0\left|L_{uckGrade}-3150\right|,3170 \le L_{uckGrade}<3180:2.371+0\left|L_{uckGrade}-3170\right|,3180 \le L_{uckGrade}<3200:2.374+0\left|L_{uckGrade}-3180\right|,3200 \le L_{uckGrade}<3210:2.378+0\left|L_{uckGrade}-3200\right|,3210 \le L_{uckGrade}<3240:2.381+0\left|L_{uckGrade}-3210\right|,3240 \le L_{uckGrade}<3250:2.387+0\left|L_{uckGrade}-3240\right|,3250 \le L_{uckGrade}<3290:2.39+0\left|L_{uckGrade}-3250\right|,3290 \le L_{uckGrade}<3300:2.398+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3400:2.401+0\left|L_{uckGrade}-3300\right|,3400 \le L_{uckGrade}<3410:2.421+0\left|L_{uckGrade}-3400\right|,3410 \le L_{uckGrade}<3440:2.424+0\left|L_{uckGrade}-3410\right|,3440 \le L_{uckGrade}<3450:2.43+0\left|L_{uckGrade}-3440\right|,3450 \le L_{uckGrade}<3550:2.431+0\left|L_{uckGrade}-3450\right|,3550 \le L_{uckGrade}<3560:2.451+0\left|L_{uckGrade}-3550\right|,3560 \le L_{uckGrade}<3600:2.452+0\left|L_{uckGrade}-3560\right|,3600 \le L_{uckGrade}<3610:2.46+0\left|L_{uckGrade}-3600\right|,3610 \le L_{uckGrade}<3640:2.461+0\left|L_{uckGrade}-3610\right|,3640 \le L_{uckGrade}<3650:2.467+0\left|L_{uckGrade}-3640\right|,3650 \le L_{uckGrade}<3670:2.468+0\left|L_{uckGrade}-3650\right|,3670 \le L_{uckGrade}<3680:2.472+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3700:2.473+0\left|L_{uckGrade}-3680\right|,3700 \le L_{uckGrade}<3710:2.477+0\left|L_{uckGrade}-3700\right|,3710 \le L_{uckGrade}<3730:2.478+0\left|L_{uckGrade}-3710\right|,3730 \le L_{uckGrade}<3740:2.482+0\left|L_{uckGrade}-3730\right|,3740 \le L_{uckGrade}<3750:2.483+0\left|L_{uckGrade}-3740\right|,3750 \le L_{uckGrade}<3760:2.485+0\left|L_{uckGrade}-3750\right|,3760 \le L_{uckGrade}<3770:2.486+0\left|L_{uckGrade}-3760\right|,3770 \le L_{uckGrade}<3780:2.488+0\left|L_{uckGrade}-3770\right|,3780 \le L_{uckGrade}<3800:2.489+0\left|L_{uckGrade}-3780\right|,3800 \le L_{uckGrade}<3810:2.493+0\left|L_{uckGrade}-3800\right|,3810 \le L_{uckGrade}<3820:2.494+0\left|L_{uckGrade}-3810\right|,3820 \le L_{uckGrade}<3830:2.496+0\left|L_{uckGrade}-3820\right|,3830 \le L_{uckGrade}<3840:2.497+0\left|L_{uckGrade}-3830\right|,3840 \le L_{uckGrade}<3860:2.499+0\left|L_{uckGrade}-3840\right|,3860 \le L_{uckGrade}<3870:2.501+0\left|L_{uckGrade}-3860\right|,3870 \le L_{uckGrade}<3880:2.503+0\left|L_{uckGrade}-3870\right|,3880 \le L_{uckGrade}<3890:2.504+0\left|L_{uckGrade}-3880\right|,3890 \le L_{uckGrade}<3900:2.506+0\left|L_{uckGrade}-3890\right|,3900 \le L_{uckGrade}<3910:2.507+0\left|L_{uckGrade}-3900\right|,3910 \le L_{uckGrade}<3930:2.509+0\left|L_{uckGrade}-3910\right|,3930 \le L_{uckGrade}<3940:2.511+0\left|L_{uckGrade}-3930\right|,3940 \le L_{uckGrade}<3960:2.513+0\left|L_{uckGrade}-3940\right|,3960 \le L_{uckGrade}<3970:2.515+0\left|L_{uckGrade}-3960\right|,3970 \le L_{uckGrade}<3990:2.517+0\left|L_{uckGrade}-3970\right|,3990 \le L_{uckGrade}<4000:2.519+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4030:2.521+0\left|L_{uckGrade}-4000\right|,4030 \le L_{uckGrade}<4040:2.524+0\left|L_{uckGrade}-4030\right|,4040 \le L_{uckGrade}<4090:2.526+0\left|L_{uckGrade}-4040\right|,4090 \le L_{uckGrade}<4100:2.531+0\left|L_{uckGrade}-4090\right|,4100 \le L_{uckGrade}<4330:2.533+0\left|L_{uckGrade}-4100\right|,4330 \le L_{uckGrade}<4340:2.556+0\left|L_{uckGrade}-4330\right|,4340 \le L_{uckGrade}<4380:2.556+0\left|L_{uckGrade}-4340\right|,4380 \le L_{uckGrade}<4390:2.56+0\left|L_{uckGrade}-4380\right|,4390 \le L_{uckGrade}<4430:2.56+0\left|L_{uckGrade}-4390\right|,4430 \le L_{uckGrade}<4440:2.564+0\left|L_{uckGrade}-4430\right|,4440 \le L_{uckGrade}<4460:2.564+0\left|L_{uckGrade}-4440\right|,4460 \le L_{uckGrade}<4470:2.566+0\left|L_{uckGrade}-4460\right|,4470 \le L_{uckGrade}<4490:2.566+0\left|L_{uckGrade}-4470\right|,4490 \le L_{uckGrade}<4500:2.568+0\left|L_{uckGrade}-4490\right|,4500 \le L_{uckGrade}<4520:2.568+0\left|L_{uckGrade}-4500\right|,4520 \le L_{uckGrade}<4530:2.57+0\left|L_{uckGrade}-4520\right|,4530 \le L_{uckGrade}<4540:2.57+0\left|L_{uckGrade}-4530\right|,4540 \le L_{uckGrade}<4550:2.571+0\left|L_{uckGrade}-4540\right|,4550 \le L_{uckGrade}<4560:2.571+0\left|L_{uckGrade}-4550\right|,4560 \le L_{uckGrade}<4570:2.572+0\left|L_{uckGrade}-4560\right|,4570 \le L_{uckGrade}<4590:2.572+0\left|L_{uckGrade}-4570\right|,4590 \le L_{uckGrade}<4600:2.574+0\left|L_{uckGrade}-4590\right|,4600 \le L_{uckGrade}<4610:2.574+0\left|L_{uckGrade}-4600\right|,4610 \le L_{uckGrade}<4620:2.575+0\left|L_{uckGrade}-4610\right|,4620 \le L_{uckGrade}<4630:2.575+0\left|L_{uckGrade}-4620\right|,4630 \le L_{uckGrade}<4650:2.576+0\left|L_{uckGrade}-4630\right|,4650 \le L_{uckGrade}<4660:2.576+0\left|L_{uckGrade}-4650\right|,4660 \le L_{uckGrade}<4670:2.577+0\left|L_{uckGrade}-4660\right|,4670 \le L_{uckGrade}<4680:2.577+0\left|L_{uckGrade}-4670\right|,4680 \le L_{uckGrade}<4690:2.578+0\left|L_{uckGrade}-4680\right|,4690 \le L_{uckGrade}<4700:2.578+0\left|L_{uckGrade}-4690\right|,4700 \le L_{uckGrade}<4720:2.579+0\left|L_{uckGrade}-4700\right|,4720 \le L_{uckGrade}<4730:2.579+0\left|L_{uckGrade}-4720\right|,4730 \le L_{uckGrade}<4750:2.58+0\left|L_{uckGrade}-4730\right|,4750 \le L_{uckGrade}<4760:2.58+0\left|L_{uckGrade}-4750\right|,4760 \le L_{uckGrade}<4790:2.581+0\left|L_{uckGrade}-4760\right|,4790 \le L_{uckGrade}<4800:2.581+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4830:2.582+0\left|L_{uckGrade}-4800\right|,4830 \le L_{uckGrade}<4840:2.582+0\left|L_{uckGrade}-4830\right|,4840 \le L_{uckGrade}<4880:2.583+0\left|L_{uckGrade}-4840\right|,4880 \le L_{uckGrade}<4890:2.583+0\left|L_{uckGrade}-4880\right|,4890 \le L_{uckGrade}<5000:2.584+0\left|L_{uckGrade}-4890\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade06}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<150:1+0.001\left|L_{uckGrade}-0\right|,150 \le L_{uckGrade}<160:1.135+0.001\left|L_{uckGrade}-150\right|,160 \le L_{uckGrade}<200:1.143+0.001\left|L_{uckGrade}-160\right|,200 \le L_{uckGrade}<210:1.179+0.001\left|L_{uckGrade}-200\right|,210 \le L_{uckGrade}<230:1.187+0.001\left|L_{uckGrade}-210\right|,230 \le L_{uckGrade}<240:1.205+0.001\left|L_{uckGrade}-230\right|,240 \le L_{uckGrade}<260:1.213+0.001\left|L_{uckGrade}-240\right|,260 \le L_{uckGrade}<270:1.231+0.001\left|L_{uckGrade}-260\right|,270 \le L_{uckGrade}<290:1.239+0.001\left|L_{uckGrade}-270\right|,290 \le L_{uckGrade}<300:1.257+0.001\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<310:1.265+0.001\left|L_{uckGrade}-300\right|,310 \le L_{uckGrade}<320:1.274+0.001\left|L_{uckGrade}-310\right|,320 \le L_{uckGrade}<330:1.282+0.001\left|L_{uckGrade}-320\right|,330 \le L_{uckGrade}<340:1.291+0.001\left|L_{uckGrade}-330\right|,340 \le L_{uckGrade}<350:1.299+0.001\left|L_{uckGrade}-340\right|,350 \le L_{uckGrade}<360:1.308+0.001\left|L_{uckGrade}-350\right|,360 \le L_{uckGrade}<370:1.316+0.001\left|L_{uckGrade}-360\right|,370 \le L_{uckGrade}<390:1.325+0.001\left|L_{uckGrade}-370\right|,390 \le L_{uckGrade}<400:1.341+0.001\left|L_{uckGrade}-390\right|,400 \le L_{uckGrade}<410:1.35+0.001\left|L_{uckGrade}-400\right|,410 \le L_{uckGrade}<420:1.358+0.001\left|L_{uckGrade}-410\right|,420 \le L_{uckGrade}<450:1.367+0.001\left|L_{uckGrade}-420\right|,450 \le L_{uckGrade}<460:1.391+0.001\left|L_{uckGrade}-450\right|,460 \le L_{uckGrade}<490:1.4+0.001\left|L_{uckGrade}-460\right|,490 \le L_{uckGrade}<500:1.424+0.001\left|L_{uckGrade}-490\right|,500 \le L_{uckGrade}<550:1.433+0.001\left|L_{uckGrade}-500\right|,550 \le L_{uckGrade}<560:1.473+0.001\left|L_{uckGrade}-550\right|,560 \le L_{uckGrade}<660:1.482+0.001\left|L_{uckGrade}-560\right|,660 \le L_{uckGrade}<670:1.562+0.001\left|L_{uckGrade}-660\right|,670 \le L_{uckGrade}<720:1.569+0.001\left|L_{uckGrade}-670\right|,720 \le L_{uckGrade}<730:1.609+0.001\left|L_{uckGrade}-720\right|,730 \le L_{uckGrade}<760:1.616+0.001\left|L_{uckGrade}-730\right|,760 \le L_{uckGrade}<770:1.64+0.001\left|L_{uckGrade}-760\right|,770 \le L_{uckGrade}<790:1.647+0.001\left|L_{uckGrade}-770\right|,790 \le L_{uckGrade}<800:1.663+0.001\left|L_{uckGrade}-790\right|,800 \le L_{uckGrade}<820:1.67+0.001\left|L_{uckGrade}-800\right|,820 \le L_{uckGrade}<830:1.686+0.001\left|L_{uckGrade}-820\right|,830 \le L_{uckGrade}<850:1.693+0.001\left|L_{uckGrade}-830\right|,850 \le L_{uckGrade}<860:1.709+0.001\left|L_{uckGrade}-850\right|,860 \le L_{uckGrade}<870:1.716+0.001\left|L_{uckGrade}-860\right|,870 \le L_{uckGrade}<880:1.724+0.001\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<890:1.731+0.001\left|L_{uckGrade}-880\right|,890 \le L_{uckGrade}<900:1.739+0.001\left|L_{uckGrade}-890\right|,900 \le L_{uckGrade}<910:1.746+0.001\left|L_{uckGrade}-900\right|,910 \le L_{uckGrade}<930:1.754+0.001\left|L_{uckGrade}-910\right|,930 \le L_{uckGrade}<940:1.768+0.001\left|L_{uckGrade}-930\right|,940 \le L_{uckGrade}<950:1.776+0.001\left|L_{uckGrade}-940\right|,950 \le L_{uckGrade}<960:1.783+0.001\left|L_{uckGrade}-950\right|,960 \le L_{uckGrade}<980:1.791+0.001\left|L_{uckGrade}-960\right|,980 \le L_{uckGrade}<990:1.805+0.001\left|L_{uckGrade}-980\right|,990 \le L_{uckGrade}<1020:1.813+0.001\left|L_{uckGrade}-990\right|,1020 \le L_{uckGrade}<1030:1.834+0.001\left|L_{uckGrade}-1020\right|,1030 \le L_{uckGrade}<1070:1.842+0.001\left|L_{uckGrade}-1030\right|,1070 \le L_{uckGrade}<1080:1.87+0.001\left|L_{uckGrade}-1070\right|,1080 \le L_{uckGrade}<1240:1.878+0.001\left|L_{uckGrade}-1080\right|,1240 \le L_{uckGrade}<1250:1.99+0.001\left|L_{uckGrade}-1240\right|,1250 \le L_{uckGrade}<1290:1.996+0.001\left|L_{uckGrade}-1250\right|,1290 \le L_{uckGrade}<1300:2.024+0.001\left|L_{uckGrade}-1290\right|,1300 \le L_{uckGrade}<1330:2.03+0.001\left|L_{uckGrade}-1300\right|,1330 \le L_{uckGrade}<1340:2.051+0.001\left|L_{uckGrade}-1330\right|,1340 \le L_{uckGrade}<1360:2.057+0.001\left|L_{uckGrade}-1340\right|,1360 \le L_{uckGrade}<1370:2.071+0.001\left|L_{uckGrade}-1360\right|,1370 \le L_{uckGrade}<1380:2.077+0.001\left|L_{uckGrade}-1370\right|,1380 \le L_{uckGrade}<1390:2.084+0.001\left|L_{uckGrade}-1380\right|,1390 \le L_{uckGrade}<1400:2.09+0.001\left|L_{uckGrade}-1390\right|,1400 \le L_{uckGrade}<1410:2.097+0.001\left|L_{uckGrade}-1400\right|,1410 \le L_{uckGrade}<1430:2.103+0.001\left|L_{uckGrade}-1410\right|,1430 \le L_{uckGrade}<1450:2.117+0.001\left|L_{uckGrade}-1430\right|,1450 \le L_{uckGrade}<1460:2.129+0.001\left|L_{uckGrade}-1450\right|,1460 \le L_{uckGrade}<1470:2.136+0.001\left|L_{uckGrade}-1460\right|,1470 \le L_{uckGrade}<1480:2.142+0.001\left|L_{uckGrade}-1470\right|,1480 \le L_{uckGrade}<1490:2.149+0.001\left|L_{uckGrade}-1480\right|,1490 \le L_{uckGrade}<1500:2.155+0.001\left|L_{uckGrade}-1490\right|,1500 \le L_{uckGrade}<1520:2.162+0.001\left|L_{uckGrade}-1500\right|,1520 \le L_{uckGrade}<1530:2.174+0.001\left|L_{uckGrade}-1520\right|,1530 \le L_{uckGrade}<1550:2.181+0.001\left|L_{uckGrade}-1530\right|,1550 \le L_{uckGrade}<1560:2.193+0.001\left|L_{uckGrade}-1550\right|,1560 \le L_{uckGrade}<1600:2.2+0.001\left|L_{uckGrade}-1560\right|,1600 \le L_{uckGrade}<1610:2.224+0.001\left|L_{uckGrade}-1600\right|,1610 \le L_{uckGrade}<1680:2.231+0.001\left|L_{uckGrade}-1610\right|,1680 \le L_{uckGrade}<1690:2.273+0.001\left|L_{uckGrade}-1680\right|,1690 \le L_{uckGrade}<1730:2.28+0.001\left|L_{uckGrade}-1690\right|,1730 \le L_{uckGrade}<1740:2.304+0.001\left|L_{uckGrade}-1730\right|,1740 \le L_{uckGrade}<1810:2.309+0.001\left|L_{uckGrade}-1740\right|,1810 \le L_{uckGrade}<1820:2.351+0\left|L_{uckGrade}-1810\right|,1820 \le L_{uckGrade}<1850:2.356+0.001\left|L_{uckGrade}-1820\right|,1850 \le L_{uckGrade}<1860:2.374+0\left|L_{uckGrade}-1850\right|,1860 \le L_{uckGrade}<1890:2.379+0.001\left|L_{uckGrade}-1860\right|,1890 \le L_{uckGrade}<1900:2.397+0.001\left|L_{uckGrade}-1890\right|,1900 \le L_{uckGrade}<1910:2.402+0.001\left|L_{uckGrade}-1900\right|,1910 \le L_{uckGrade}<1920:2.408+0\left|L_{uckGrade}-1910\right|,1920 \le L_{uckGrade}<1940:2.413+0.001\left|L_{uckGrade}-1920\right|,1940 \le L_{uckGrade}<1950:2.425+0.001\left|L_{uckGrade}-1940\right|,1950 \le L_{uckGrade}<1960:2.43+0.001\left|L_{uckGrade}-1950\right|,1960 \le L_{uckGrade}<1970:2.436+0\left|L_{uckGrade}-1960\right|,1970 \le L_{uckGrade}<1980:2.441+0.001\left|L_{uckGrade}-1970\right|,1980 \le L_{uckGrade}<1990:2.447+0\left|L_{uckGrade}-1980\right|,1990 \le L_{uckGrade}<2000:2.452+0.001\left|L_{uckGrade}-1990\right|,2000 \le L_{uckGrade}<2010:2.458+0\left|L_{uckGrade}-2000\right|,2010 \le L_{uckGrade}<2020:2.463+0.001\left|L_{uckGrade}-2010\right|,2020 \le L_{uckGrade}<2030:2.469+0.001\left|L_{uckGrade}-2020\right|,2030 \le L_{uckGrade}<2040:2.474+0.001\left|L_{uckGrade}-2030\right|,2040 \le L_{uckGrade}<2060:2.48+0.001\left|L_{uckGrade}-2040\right|,2060 \le L_{uckGrade}<2070:2.49+0.001\left|L_{uckGrade}-2060\right|,2070 \le L_{uckGrade}<2090:2.496+0\left|L_{uckGrade}-2070\right|,2090 \le L_{uckGrade}<2100:2.506+0.001\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2130:2.512+0.001\left|L_{uckGrade}-2100\right|,2130 \le L_{uckGrade}<2140:2.527+0.001\left|L_{uckGrade}-2130\right|,2140 \le L_{uckGrade}<2190:2.533+0\left|L_{uckGrade}-2140\right|,2190 \le L_{uckGrade}<2200:2.558+0.001\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2320:2.564+0.001\left|L_{uckGrade}-2200\right|,2320 \le L_{uckGrade}<2330:2.624+0\left|L_{uckGrade}-2320\right|,2330 \le L_{uckGrade}<2380:2.628+0\left|L_{uckGrade}-2330\right|,2380 \le L_{uckGrade}<2390:2.653+0\left|L_{uckGrade}-2380\right|,2390 \le L_{uckGrade}<2410:2.657+0\left|L_{uckGrade}-2390\right|,2410 \le L_{uckGrade}<2420:2.667+0\left|L_{uckGrade}-2410\right|,2420 \le L_{uckGrade}<2450:2.671+0.001\left|L_{uckGrade}-2420\right|,2450 \le L_{uckGrade}<2460:2.686+0\left|L_{uckGrade}-2450\right|,2460 \le L_{uckGrade}<2470:2.69+0\left|L_{uckGrade}-2460\right|,2470 \le L_{uckGrade}<2480:2.695+0\left|L_{uckGrade}-2470\right|,2480 \le L_{uckGrade}<2500:2.699+0.001\left|L_{uckGrade}-2480\right|,2500 \le L_{uckGrade}<2510:2.709+0\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2520:2.713+0\left|L_{uckGrade}-2510\right|,2520 \le L_{uckGrade}<2530:2.718+0\left|L_{uckGrade}-2520\right|,2530 \le L_{uckGrade}<2540:2.722+0\left|L_{uckGrade}-2530\right|,2540 \le L_{uckGrade}<2550:2.727+0\left|L_{uckGrade}-2540\right|,2550 \le L_{uckGrade}<2560:2.731+0.001\left|L_{uckGrade}-2550\right|,2560 \le L_{uckGrade}<2580:2.736+0\left|L_{uckGrade}-2560\right|,2580 \le L_{uckGrade}<2590:2.744+0\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2600:2.749+0\left|L_{uckGrade}-2590\right|,2600 \le L_{uckGrade}<2610:2.753+0\left|L_{uckGrade}-2600\right|,2610 \le L_{uckGrade}<2630:2.758+0\left|L_{uckGrade}-2610\right|,2630 \le L_{uckGrade}<2640:2.766+0\left|L_{uckGrade}-2630\right|,2640 \le L_{uckGrade}<2670:2.771+0\left|L_{uckGrade}-2640\right|,2670 \le L_{uckGrade}<2680:2.783+0\left|L_{uckGrade}-2670\right|,2680 \le L_{uckGrade}<2720:2.788+0\left|L_{uckGrade}-2680\right|,2720 \le L_{uckGrade}<2730:2.804+0.001\left|L_{uckGrade}-2720\right|,2730 \le L_{uckGrade}<2880:2.809+0\left|L_{uckGrade}-2730\right|,2880 \le L_{uckGrade}<2890:2.869+0\left|L_{uckGrade}-2880\right|,2890 \le L_{uckGrade}<2940:2.872+0\left|L_{uckGrade}-2890\right|,2940 \le L_{uckGrade}<2950:2.892+0\left|L_{uckGrade}-2940\right|,2950 \le L_{uckGrade}<2970:2.895+0\left|L_{uckGrade}-2950\right|,2970 \le L_{uckGrade}<2980:2.903+0\left|L_{uckGrade}-2970\right|,2980 \le L_{uckGrade}<3000:2.906+0\left|L_{uckGrade}-2980\right|,3000 \le L_{uckGrade}<3010:2.914+0\left|L_{uckGrade}-3000\right|,3010 \le L_{uckGrade}<3030:2.917+0\left|L_{uckGrade}-3010\right|,3030 \le L_{uckGrade}<3040:2.925+0\left|L_{uckGrade}-3030\right|,3040 \le L_{uckGrade}<3050:2.928+0\left|L_{uckGrade}-3040\right|,3050 \le L_{uckGrade}<3060:2.932+0\left|L_{uckGrade}-3050\right|,3060 \le L_{uckGrade}<3070:2.935+0\left|L_{uckGrade}-3060\right|,3070 \le L_{uckGrade}<3080:2.939+0\left|L_{uckGrade}-3070\right|,3080 \le L_{uckGrade}<3090:2.942+0\left|L_{uckGrade}-3080\right|,3090 \le L_{uckGrade}<3100:2.946+0\left|L_{uckGrade}-3090\right|,3100 \le L_{uckGrade}<3110:2.949+0\left|L_{uckGrade}-3100\right|,3110 \le L_{uckGrade}<3120:2.953+0\left|L_{uckGrade}-3110\right|,3120 \le L_{uckGrade}<3130:2.956+0\left|L_{uckGrade}-3120\right|,3130 \le L_{uckGrade}<3150:2.96+0\left|L_{uckGrade}-3130\right|,3150 \le L_{uckGrade}<3160:2.966+0\left|L_{uckGrade}-3150\right|,3160 \le L_{uckGrade}<3180:2.97+0\left|L_{uckGrade}-3160\right|,3180 \le L_{uckGrade}<3190:2.976+0\left|L_{uckGrade}-3180\right|,3190 \le L_{uckGrade}<3210:2.98+0\left|L_{uckGrade}-3190\right|,3210 \le L_{uckGrade}<3220:2.986+0\left|L_{uckGrade}-3210\right|,3220 \le L_{uckGrade}<3260:2.99+0\left|L_{uckGrade}-3220\right|,3260 \le L_{uckGrade}<3270:3.002+0\left|L_{uckGrade}-3260\right|,3270 \le L_{uckGrade}<3450:3.006+0\left|L_{uckGrade}-3270\right|,3450 \le L_{uckGrade}<3460:3.06+0\left|L_{uckGrade}-3450\right|,3460 \le L_{uckGrade}<3490:3.062+0\left|L_{uckGrade}-3460\right|,3490 \le L_{uckGrade}<3500:3.071+0\left|L_{uckGrade}-3490\right|,3500 \le L_{uckGrade}<3530:3.073+0\left|L_{uckGrade}-3500\right|,3530 \le L_{uckGrade}<3540:3.082+0\left|L_{uckGrade}-3530\right|,3540 \le L_{uckGrade}<3560:3.084+0\left|L_{uckGrade}-3540\right|,3560 \le L_{uckGrade}<3570:3.09+0\left|L_{uckGrade}-3560\right|,3570 \le L_{uckGrade}<3580:3.092+0\left|L_{uckGrade}-3570\right|,3580 \le L_{uckGrade}<3590:3.095+0\left|L_{uckGrade}-3580\right|,3590 \le L_{uckGrade}<3600:3.097+0\left|L_{uckGrade}-3590\right|,3600 \le L_{uckGrade}<3610:3.1+0\left|L_{uckGrade}-3600\right|,3610 \le L_{uckGrade}<3630:3.102+0\left|L_{uckGrade}-3610\right|,3630 \le L_{uckGrade}<3650:3.108+0\left|L_{uckGrade}-3630\right|,3650 \le L_{uckGrade}<3660:3.112+0\left|L_{uckGrade}-3650\right|,3660 \le L_{uckGrade}<3670:3.115+0\left|L_{uckGrade}-3660\right|,3670 \le L_{uckGrade}<3680:3.117+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3690:3.12+0\left|L_{uckGrade}-3680\right|,3690 \le L_{uckGrade}<3700:3.122+0\left|L_{uckGrade}-3690\right|,3700 \le L_{uckGrade}<3720:3.125+0\left|L_{uckGrade}-3700\right|,3720 \le L_{uckGrade}<3730:3.129+0\left|L_{uckGrade}-3720\right|,3730 \le L_{uckGrade}<3750:3.132+0\left|L_{uckGrade}-3730\right|,3750 \le L_{uckGrade}<3760:3.136+0\left|L_{uckGrade}-3750\right|,3760 \le L_{uckGrade}<3800:3.139+0\left|L_{uckGrade}-3760\right|,3800 \le L_{uckGrade}<3810:3.147+0\left|L_{uckGrade}-3800\right|,3810 \le L_{uckGrade}<4000:3.15+0\left|L_{uckGrade}-3810\right|,4000 \le L_{uckGrade}<4010:3.188+0\left|L_{uckGrade}-4000\right|,4010 \le L_{uckGrade}<4050:3.189+0\left|L_{uckGrade}-4010\right|,4050 \le L_{uckGrade}<4060:3.197+0\left|L_{uckGrade}-4050\right|,4060 \le L_{uckGrade}<4080:3.198+0\left|L_{uckGrade}-4060\right|,4080 \le L_{uckGrade}<4090:3.202+0\left|L_{uckGrade}-4080\right|,4090 \le L_{uckGrade}<4110:3.203+0\left|L_{uckGrade}-4090\right|,4110 \le L_{uckGrade}<4120:3.207+0\left|L_{uckGrade}-4110\right|,4120 \le L_{uckGrade}<4130:3.208+0\left|L_{uckGrade}-4120\right|,4130 \le L_{uckGrade}<4140:3.21+0\left|L_{uckGrade}-4130\right|,4140 \le L_{uckGrade}<4160:3.211+0\left|L_{uckGrade}-4140\right|,4160 \le L_{uckGrade}<4170:3.215+0\left|L_{uckGrade}-4160\right|,4170 \le L_{uckGrade}<4180:3.216+0\left|L_{uckGrade}-4170\right|,4180 \le L_{uckGrade}<4190:3.218+0\left|L_{uckGrade}-4180\right|,4190 \le L_{uckGrade}<4200:3.219+0\left|L_{uckGrade}-4190\right|,4200 \le L_{uckGrade}<4220:3.221+0\left|L_{uckGrade}-4200\right|,4220 \le L_{uckGrade}<4230:3.223+0\left|L_{uckGrade}-4220\right|,4230 \le L_{uckGrade}<4240:3.225+0\left|L_{uckGrade}-4230\right|,4240 \le L_{uckGrade}<4250:3.226+0\left|L_{uckGrade}-4240\right|,4250 \le L_{uckGrade}<4270:3.228+0\left|L_{uckGrade}-4250\right|,4270 \le L_{uckGrade}<4280:3.23+0\left|L_{uckGrade}-4270\right|,4280 \le L_{uckGrade}<4300:3.232+0\left|L_{uckGrade}-4280\right|,4300 \le L_{uckGrade}<4310:3.234+0\left|L_{uckGrade}-4300\right|,4310 \le L_{uckGrade}<4340:3.236+0\left|L_{uckGrade}-4310\right|,4340 \le L_{uckGrade}<4350:3.239+0\left|L_{uckGrade}-4340\right|,4350 \le L_{uckGrade}<4430:3.241+0\left|L_{uckGrade}-4350\right|,4430 \le L_{uckGrade}<4440:3.249+0\left|L_{uckGrade}-4430\right|,4440 \le L_{uckGrade}<4470:3.251+0\left|L_{uckGrade}-4440\right|,4470 \le L_{uckGrade}<4480:3.254+0\left|L_{uckGrade}-4470\right|,4480 \le L_{uckGrade}<4560:3.254+0\left|L_{uckGrade}-4480\right|,4560 \le L_{uckGrade}<4570:3.262+0\left|L_{uckGrade}-4560\right|,4570 \le L_{uckGrade}<4600:3.262+0\left|L_{uckGrade}-4570\right|,4600 \le L_{uckGrade}<4610:3.265+0\left|L_{uckGrade}-4600\right|,4610 \le L_{uckGrade}<4630:3.265+0\left|L_{uckGrade}-4610\right|,4630 \le L_{uckGrade}<4640:3.267+0\left|L_{uckGrade}-4630\right|,4640 \le L_{uckGrade}<4660:3.267+0\left|L_{uckGrade}-4640\right|,4660 \le L_{uckGrade}<4670:3.269+0\left|L_{uckGrade}-4660\right|,4670 \le L_{uckGrade}<4690:3.269+0\left|L_{uckGrade}-4670\right|,4690 \le L_{uckGrade}<4700:3.271+0\left|L_{uckGrade}-4690\right|,4700 \le L_{uckGrade}<4710:3.271+0\left|L_{uckGrade}-4700\right|,4710 \le L_{uckGrade}<4720:3.272+0\left|L_{uckGrade}-4710\right|,4720 \le L_{uckGrade}<4730:3.272+0\left|L_{uckGrade}-4720\right|,4730 \le L_{uckGrade}<4740:3.273+0\left|L_{uckGrade}-4730\right|,4740 \le L_{uckGrade}<4750:3.273+0\left|L_{uckGrade}-4740\right|,4750 \le L_{uckGrade}<4760:3.274+0\left|L_{uckGrade}-4750\right|,4760 \le L_{uckGrade}<4770:3.274+0\left|L_{uckGrade}-4760\right|,4770 \le L_{uckGrade}<4790:3.275+0\left|L_{uckGrade}-4770\right|,4790 \le L_{uckGrade}<4800:3.275+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4820:3.276+0\left|L_{uckGrade}-4800\right|,4820 \le L_{uckGrade}<4830:3.276+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4850:3.277+0\left|L_{uckGrade}-4830\right|,4850 \le L_{uckGrade}<4860:3.277+0\left|L_{uckGrade}-4850\right|,4860 \le L_{uckGrade}<4890:3.278+0\left|L_{uckGrade}-4860\right|,4890 \le L_{uckGrade}<4900:3.278+0\left|L_{uckGrade}-4890\right|,4900 \le L_{uckGrade}<4980:3.279+0\left|L_{uckGrade}-4900\right|,4980 \le L_{uckGrade}<4990:3.279+0\left|L_{uckGrade}-4980\right|,4990 \le L_{uckGrade}<5000:3.28+0\left|L_{uckGrade}-4990\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade07}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<20:1+0.001\left|L_{uckGrade}-0\right|,20 \le L_{uckGrade}<30:1.022+0.001\left|L_{uckGrade}-20\right|,30 \le L_{uckGrade}<50:1.032+0.001\left|L_{uckGrade}-30\right|,50 \le L_{uckGrade}<60:1.054+0.001\left|L_{uckGrade}-50\right|,60 \le L_{uckGrade}<80:1.064+0.001\left|L_{uckGrade}-60\right|,80 \le L_{uckGrade}<90:1.086+0.001\left|L_{uckGrade}-80\right|,90 \le L_{uckGrade}<110:1.096+0.001\left|L_{uckGrade}-90\right|,110 \le L_{uckGrade}<120:1.118+0.001\left|L_{uckGrade}-110\right|,120 \le L_{uckGrade}<130:1.128+0.001\left|L_{uckGrade}-120\right|,130 \le L_{uckGrade}<140:1.139+0.001\left|L_{uckGrade}-130\right|,140 \le L_{uckGrade}<150:1.149+0.001\left|L_{uckGrade}-140\right|,150 \le L_{uckGrade}<160:1.16+0.001\left|L_{uckGrade}-150\right|,160 \le L_{uckGrade}<170:1.17+0.001\left|L_{uckGrade}-160\right|,170 \le L_{uckGrade}<180:1.181+0.001\left|L_{uckGrade}-170\right|,180 \le L_{uckGrade}<190:1.191+0.001\left|L_{uckGrade}-180\right|,190 \le L_{uckGrade}<210:1.202+0.001\left|L_{uckGrade}-190\right|,210 \le L_{uckGrade}<220:1.222+0.001\left|L_{uckGrade}-210\right|,220 \le L_{uckGrade}<240:1.233+0.001\left|L_{uckGrade}-220\right|,240 \le L_{uckGrade}<250:1.253+0.001\left|L_{uckGrade}-240\right|,250 \le L_{uckGrade}<290:1.264+0.001\left|L_{uckGrade}-250\right|,290 \le L_{uckGrade}<300:1.304+0.001\left|L_{uckGrade}-290\right|,300 \le L_{uckGrade}<450:1.315+0.001\left|L_{uckGrade}-300\right|,450 \le L_{uckGrade}<460:1.465+0.001\left|L_{uckGrade}-450\right|,460 \le L_{uckGrade}<500:1.474+0.001\left|L_{uckGrade}-460\right|,500 \le L_{uckGrade}<510:1.514+0.001\left|L_{uckGrade}-500\right|,510 \le L_{uckGrade}<530:1.523+0.001\left|L_{uckGrade}-510\right|,530 \le L_{uckGrade}<540:1.543+0.001\left|L_{uckGrade}-530\right|,540 \le L_{uckGrade}<560:1.552+0.001\left|L_{uckGrade}-540\right|,560 \le L_{uckGrade}<570:1.572+0.001\left|L_{uckGrade}-560\right|,570 \le L_{uckGrade}<580:1.581+0.001\left|L_{uckGrade}-570\right|,580 \le L_{uckGrade}<590:1.591+0.001\left|L_{uckGrade}-580\right|,590 \le L_{uckGrade}<600:1.6+0.001\left|L_{uckGrade}-590\right|,600 \le L_{uckGrade}<610:1.61+0.001\left|L_{uckGrade}-600\right|,610 \le L_{uckGrade}<620:1.619+0.001\left|L_{uckGrade}-610\right|,620 \le L_{uckGrade}<630:1.629+0.001\left|L_{uckGrade}-620\right|,630 \le L_{uckGrade}<640:1.638+0.001\left|L_{uckGrade}-630\right|,640 \le L_{uckGrade}<660:1.648+0.001\left|L_{uckGrade}-640\right|,660 \le L_{uckGrade}<670:1.666+0.001\left|L_{uckGrade}-660\right|,670 \le L_{uckGrade}<680:1.676+0.001\left|L_{uckGrade}-670\right|,680 \le L_{uckGrade}<690:1.685+0.001\left|L_{uckGrade}-680\right|,690 \le L_{uckGrade}<720:1.695+0.001\left|L_{uckGrade}-690\right|,720 \le L_{uckGrade}<730:1.722+0.001\left|L_{uckGrade}-720\right|,730 \le L_{uckGrade}<770:1.732+0.001\left|L_{uckGrade}-730\right|,770 \le L_{uckGrade}<780:1.768+0.001\left|L_{uckGrade}-770\right|,780 \le L_{uckGrade}<890:1.778+0.001\left|L_{uckGrade}-780\right|,890 \le L_{uckGrade}<900:1.877+0.001\left|L_{uckGrade}-890\right|,900 \le L_{uckGrade}<950:1.885+0.001\left|L_{uckGrade}-900\right|,950 \le L_{uckGrade}<960:1.93+0.001\left|L_{uckGrade}-950\right|,960 \le L_{uckGrade}<980:1.938+0.001\left|L_{uckGrade}-960\right|,980 \le L_{uckGrade}<990:1.956+0.001\left|L_{uckGrade}-980\right|,990 \le L_{uckGrade}<1010:1.964+0.001\left|L_{uckGrade}-990\right|,1010 \le L_{uckGrade}<1020:1.982+0.001\left|L_{uckGrade}-1010\right|,1020 \le L_{uckGrade}<1040:1.99+0.001\left|L_{uckGrade}-1020\right|,1040 \le L_{uckGrade}<1050:2.008+0.001\left|L_{uckGrade}-1040\right|,1050 \le L_{uckGrade}<1060:2.016+0.001\left|L_{uckGrade}-1050\right|,1060 \le L_{uckGrade}<1070:2.025+0.001\left|L_{uckGrade}-1060\right|,1070 \le L_{uckGrade}<1080:2.033+0.001\left|L_{uckGrade}-1070\right|,1080 \le L_{uckGrade}<1090:2.042+0.001\left|L_{uckGrade}-1080\right|,1090 \le L_{uckGrade}<1100:2.05+0.001\left|L_{uckGrade}-1090\right|,1100 \le L_{uckGrade}<1120:2.059+0.001\left|L_{uckGrade}-1100\right|,1120 \le L_{uckGrade}<1130:2.075+0.001\left|L_{uckGrade}-1120\right|,1130 \le L_{uckGrade}<1150:2.084+0.001\left|L_{uckGrade}-1130\right|,1150 \le L_{uckGrade}<1160:2.1+0.001\left|L_{uckGrade}-1150\right|,1160 \le L_{uckGrade}<1180:2.109+0.001\left|L_{uckGrade}-1160\right|,1180 \le L_{uckGrade}<1190:2.125+0.001\left|L_{uckGrade}-1180\right|,1190 \le L_{uckGrade}<1240:2.134+0.001\left|L_{uckGrade}-1190\right|,1240 \le L_{uckGrade}<1250:2.174+0.001\left|L_{uckGrade}-1240\right|,1250 \le L_{uckGrade}<1360:2.183+0.001\left|L_{uckGrade}-1250\right|,1360 \le L_{uckGrade}<1370:2.271+0.001\left|L_{uckGrade}-1360\right|,1370 \le L_{uckGrade}<1410:2.278+0.001\left|L_{uckGrade}-1370\right|,1410 \le L_{uckGrade}<1420:2.31+0.001\left|L_{uckGrade}-1410\right|,1420 \le L_{uckGrade}<1440:2.317+0.001\left|L_{uckGrade}-1420\right|,1440 \le L_{uckGrade}<1450:2.333+0.001\left|L_{uckGrade}-1440\right|,1450 \le L_{uckGrade}<1470:2.34+0.001\left|L_{uckGrade}-1450\right|,1470 \le L_{uckGrade}<1480:2.356+0.001\left|L_{uckGrade}-1470\right|,1480 \le L_{uckGrade}<1500:2.363+0.001\left|L_{uckGrade}-1480\right|,1500 \le L_{uckGrade}<1510:2.379+0.001\left|L_{uckGrade}-1500\right|,1510 \le L_{uckGrade}<1520:2.386+0.001\left|L_{uckGrade}-1510\right|,1520 \le L_{uckGrade}<1530:2.394+0.001\left|L_{uckGrade}-1520\right|,1530 \le L_{uckGrade}<1540:2.401+0.001\left|L_{uckGrade}-1530\right|,1540 \le L_{uckGrade}<1550:2.409+0.001\left|L_{uckGrade}-1540\right|,1550 \le L_{uckGrade}<1560:2.416+0.001\left|L_{uckGrade}-1550\right|,1560 \le L_{uckGrade}<1580:2.424+0.001\left|L_{uckGrade}-1560\right|,1580 \le L_{uckGrade}<1590:2.438+0.001\left|L_{uckGrade}-1580\right|,1590 \le L_{uckGrade}<1600:2.446+0.001\left|L_{uckGrade}-1590\right|,1600 \le L_{uckGrade}<1610:2.453+0.001\left|L_{uckGrade}-1600\right|,1610 \le L_{uckGrade}<1640:2.461+0.001\left|L_{uckGrade}-1610\right|,1640 \le L_{uckGrade}<1650:2.482+0.001\left|L_{uckGrade}-1640\right|,1650 \le L_{uckGrade}<1680:2.49+0.001\left|L_{uckGrade}-1650\right|,1680 \le L_{uckGrade}<1690:2.511+0.001\left|L_{uckGrade}-1680\right|,1690 \le L_{uckGrade}<1840:2.519+0.001\left|L_{uckGrade}-1690\right|,1840 \le L_{uckGrade}<1850:2.624+0.001\left|L_{uckGrade}-1840\right|,1850 \le L_{uckGrade}<1880:2.63+0.001\left|L_{uckGrade}-1850\right|,1880 \le L_{uckGrade}<1890:2.651+0.001\left|L_{uckGrade}-1880\right|,1890 \le L_{uckGrade}<1920:2.657+0.001\left|L_{uckGrade}-1890\right|,1920 \le L_{uckGrade}<1930:2.678+0.001\left|L_{uckGrade}-1920\right|,1930 \le L_{uckGrade}<1940:2.684+0.001\left|L_{uckGrade}-1930\right|,1940 \le L_{uckGrade}<1950:2.691+0.001\left|L_{uckGrade}-1940\right|,1950 \le L_{uckGrade}<1970:2.697+0.001\left|L_{uckGrade}-1950\right|,1970 \le L_{uckGrade}<1980:2.711+0.001\left|L_{uckGrade}-1970\right|,1980 \le L_{uckGrade}<1990:2.717+0.001\left|L_{uckGrade}-1980\right|,1990 \le L_{uckGrade}<2000:2.724+0.001\left|L_{uckGrade}-1990\right|,2000 \le L_{uckGrade}<2010:2.73+0.001\left|L_{uckGrade}-2000\right|,2010 \le L_{uckGrade}<2020:2.737+0.001\left|L_{uckGrade}-2010\right|,2020 \le L_{uckGrade}<2030:2.743+0.001\left|L_{uckGrade}-2020\right|,2030 \le L_{uckGrade}<2050:2.75+0.001\left|L_{uckGrade}-2030\right|,2050 \le L_{uckGrade}<2060:2.762+0.001\left|L_{uckGrade}-2050\right|,2060 \le L_{uckGrade}<2080:2.769+0.001\left|L_{uckGrade}-2060\right|,2080 \le L_{uckGrade}<2090:2.781+0.001\left|L_{uckGrade}-2080\right|,2090 \le L_{uckGrade}<2120:2.788+0.001\left|L_{uckGrade}-2090\right|,2120 \le L_{uckGrade}<2130:2.806+0.001\left|L_{uckGrade}-2120\right|,2130 \le L_{uckGrade}<2180:2.813+0.001\left|L_{uckGrade}-2130\right|,2180 \le L_{uckGrade}<2190:2.843+0.001\left|L_{uckGrade}-2180\right|,2190 \le L_{uckGrade}<2270:2.85+0.001\left|L_{uckGrade}-2190\right|,2270 \le L_{uckGrade}<2280:2.898+0\left|L_{uckGrade}-2270\right|,2280 \le L_{uckGrade}<2330:2.903+0.001\left|L_{uckGrade}-2280\right|,2330 \le L_{uckGrade}<2340:2.933+0.001\left|L_{uckGrade}-2330\right|,2340 \le L_{uckGrade}<2370:2.938+0.001\left|L_{uckGrade}-2340\right|,2370 \le L_{uckGrade}<2380:2.956+0\left|L_{uckGrade}-2370\right|,2380 \le L_{uckGrade}<2400:2.961+0.001\left|L_{uckGrade}-2380\right|,2400 \le L_{uckGrade}<2410:2.973+0.001\left|L_{uckGrade}-2400\right|,2410 \le L_{uckGrade}<2420:2.978+0.001\left|L_{uckGrade}-2410\right|,2420 \le L_{uckGrade}<2430:2.984+0\left|L_{uckGrade}-2420\right|,2430 \le L_{uckGrade}<2440:2.989+0.001\left|L_{uckGrade}-2430\right|,2440 \le L_{uckGrade}<2450:2.995+0\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2460:3+0.001\left|L_{uckGrade}-2450\right|,2460 \le L_{uckGrade}<2470:3.006+0.001\left|L_{uckGrade}-2460\right|,2470 \le L_{uckGrade}<2480:3.011+0.001\left|L_{uckGrade}-2470\right|,2480 \le L_{uckGrade}<2490:3.017+0\left|L_{uckGrade}-2480\right|,2490 \le L_{uckGrade}<2500:3.022+0.001\left|L_{uckGrade}-2490\right|,2500 \le L_{uckGrade}<2520:3.028+0\left|L_{uckGrade}-2500\right|,2520 \le L_{uckGrade}<2530:3.038+0.001\left|L_{uckGrade}-2520\right|,2530 \le L_{uckGrade}<2550:3.044+0\left|L_{uckGrade}-2530\right|,2550 \le L_{uckGrade}<2560:3.054+0.001\left|L_{uckGrade}-2550\right|,2560 \le L_{uckGrade}<2580:3.06+0\left|L_{uckGrade}-2560\right|,2580 \le L_{uckGrade}<2590:3.07+0.001\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2650:3.076+0\left|L_{uckGrade}-2590\right|,2650 \le L_{uckGrade}<2660:3.106+0.001\left|L_{uckGrade}-2650\right|,2660 \le L_{uckGrade}<2720:3.112+0\left|L_{uckGrade}-2660\right|,2720 \le L_{uckGrade}<2730:3.142+0\left|L_{uckGrade}-2720\right|,2730 \le L_{uckGrade}<2790:3.146+0.001\left|L_{uckGrade}-2730\right|,2790 \le L_{uckGrade}<2800:3.176+0\left|L_{uckGrade}-2790\right|,2800 \le L_{uckGrade}<2820:3.18+0\left|L_{uckGrade}-2800\right|,2820 \le L_{uckGrade}<2830:3.19+0\left|L_{uckGrade}-2820\right|,2830 \le L_{uckGrade}<2850:3.194+0.001\left|L_{uckGrade}-2830\right|,2850 \le L_{uckGrade}<2860:3.204+0\left|L_{uckGrade}-2850\right|,2860 \le L_{uckGrade}<2880:3.208+0\left|L_{uckGrade}-2860\right|,2880 \le L_{uckGrade}<2890:3.218+0\left|L_{uckGrade}-2880\right|,2890 \le L_{uckGrade}<2900:3.222+0\left|L_{uckGrade}-2890\right|,2900 \le L_{uckGrade}<2910:3.227+0\left|L_{uckGrade}-2900\right|,2910 \le L_{uckGrade}<2920:3.231+0.001\left|L_{uckGrade}-2910\right|,2920 \le L_{uckGrade}<2930:3.236+0\left|L_{uckGrade}-2920\right|,2930 \le L_{uckGrade}<2940:3.24+0\left|L_{uckGrade}-2930\right|,2940 \le L_{uckGrade}<2950:3.245+0\left|L_{uckGrade}-2940\right|,2950 \le L_{uckGrade}<2960:3.249+0\left|L_{uckGrade}-2950\right|,2960 \le L_{uckGrade}<2970:3.254+0\left|L_{uckGrade}-2960\right|,2970 \le L_{uckGrade}<2980:3.258+0\left|L_{uckGrade}-2970\right|,2980 \le L_{uckGrade}<3000:3.263+0\left|L_{uckGrade}-2980\right|,3000 \le L_{uckGrade}<3010:3.271+0\left|L_{uckGrade}-3000\right|,3010 \le L_{uckGrade}<3040:3.276+0\left|L_{uckGrade}-3010\right|,3040 \le L_{uckGrade}<3050:3.288+0.001\left|L_{uckGrade}-3040\right|,3050 \le L_{uckGrade}<3100:3.293+0\left|L_{uckGrade}-3050\right|,3100 \le L_{uckGrade}<3110:3.313+0\left|L_{uckGrade}-3100\right|,3110 \le L_{uckGrade}<3200:3.318+0\left|L_{uckGrade}-3110\right|,3200 \le L_{uckGrade}<3210:3.354+0\left|L_{uckGrade}-3200\right|,3210 \le L_{uckGrade}<3260:3.357+0\left|L_{uckGrade}-3210\right|,3260 \le L_{uckGrade}<3270:3.377+0\left|L_{uckGrade}-3260\right|,3270 \le L_{uckGrade}<3290:3.38+0\left|L_{uckGrade}-3270\right|,3290 \le L_{uckGrade}<3300:3.388+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3320:3.391+0\left|L_{uckGrade}-3300\right|,3320 \le L_{uckGrade}<3330:3.399+0\left|L_{uckGrade}-3320\right|,3330 \le L_{uckGrade}<3350:3.402+0\left|L_{uckGrade}-3330\right|,3350 \le L_{uckGrade}<3360:3.41+0\left|L_{uckGrade}-3350\right|,3360 \le L_{uckGrade}<3370:3.413+0\left|L_{uckGrade}-3360\right|,3370 \le L_{uckGrade}<3380:3.417+0\left|L_{uckGrade}-3370\right|,3380 \le L_{uckGrade}<3390:3.42+0\left|L_{uckGrade}-3380\right|,3390 \le L_{uckGrade}<3400:3.424+0\left|L_{uckGrade}-3390\right|,3400 \le L_{uckGrade}<3410:3.427+0\left|L_{uckGrade}-3400\right|,3410 \le L_{uckGrade}<3430:3.431+0\left|L_{uckGrade}-3410\right|,3430 \le L_{uckGrade}<3440:3.437+0\left|L_{uckGrade}-3430\right|,3440 \le L_{uckGrade}<3450:3.441+0\left|L_{uckGrade}-3440\right|,3450 \le L_{uckGrade}<3460:3.444+0\left|L_{uckGrade}-3450\right|,3460 \le L_{uckGrade}<3480:3.448+0\left|L_{uckGrade}-3460\right|,3480 \le L_{uckGrade}<3490:3.454+0\left|L_{uckGrade}-3480\right|,3490 \le L_{uckGrade}<3530:3.458+0\left|L_{uckGrade}-3490\right|,3530 \le L_{uckGrade}<3540:3.47+0\left|L_{uckGrade}-3530\right|,3540 \le L_{uckGrade}<3690:3.474+0\left|L_{uckGrade}-3540\right|,3690 \le L_{uckGrade}<3700:3.519+0\left|L_{uckGrade}-3690\right|,3700 \le L_{uckGrade}<3740:3.521+0\left|L_{uckGrade}-3700\right|,3740 \le L_{uckGrade}<3750:3.533+0\left|L_{uckGrade}-3740\right|,3750 \le L_{uckGrade}<3770:3.535+0\left|L_{uckGrade}-3750\right|,3770 \le L_{uckGrade}<3780:3.541+0\left|L_{uckGrade}-3770\right|,3780 \le L_{uckGrade}<3800:3.543+0\left|L_{uckGrade}-3780\right|,3800 \le L_{uckGrade}<3810:3.549+0\left|L_{uckGrade}-3800\right|,3810 \le L_{uckGrade}<3820:3.551+0\left|L_{uckGrade}-3810\right|,3820 \le L_{uckGrade}<3830:3.554+0\left|L_{uckGrade}-3820\right|,3830 \le L_{uckGrade}<3840:3.556+0\left|L_{uckGrade}-3830\right|,3840 \le L_{uckGrade}<3850:3.559+0\left|L_{uckGrade}-3840\right|,3850 \le L_{uckGrade}<3860:3.561+0\left|L_{uckGrade}-3850\right|,3860 \le L_{uckGrade}<3870:3.564+0\left|L_{uckGrade}-3860\right|,3870 \le L_{uckGrade}<3880:3.566+0\left|L_{uckGrade}-3870\right|,3880 \le L_{uckGrade}<3890:3.569+0\left|L_{uckGrade}-3880\right|,3890 \le L_{uckGrade}<3900:3.571+0\left|L_{uckGrade}-3890\right|,3900 \le L_{uckGrade}<3920:3.574+0\left|L_{uckGrade}-3900\right|,3920 \le L_{uckGrade}<3930:3.578+0\left|L_{uckGrade}-3920\right|,3930 \le L_{uckGrade}<3960:3.581+0\left|L_{uckGrade}-3930\right|,3960 \le L_{uckGrade}<3970:3.587+0\left|L_{uckGrade}-3960\right|,3970 \le L_{uckGrade}<4010:3.59+0\left|L_{uckGrade}-3970\right|,4010 \le L_{uckGrade}<4020:3.598+0\left|L_{uckGrade}-4010\right|,4020 \le L_{uckGrade}<4140:3.601+0\left|L_{uckGrade}-4020\right|,4140 \le L_{uckGrade}<4150:3.625+0\left|L_{uckGrade}-4140\right|,4150 \le L_{uckGrade}<4190:3.626+0\left|L_{uckGrade}-4150\right|,4190 \le L_{uckGrade}<4200:3.634+0\left|L_{uckGrade}-4190\right|,4200 \le L_{uckGrade}<4230:3.635+0\left|L_{uckGrade}-4200\right|,4230 \le L_{uckGrade}<4240:3.641+0\left|L_{uckGrade}-4230\right|,4240 \le L_{uckGrade}<4250:3.642+0\left|L_{uckGrade}-4240\right|,4250 \le L_{uckGrade}<4260:3.644+0\left|L_{uckGrade}-4250\right|,4260 \le L_{uckGrade}<4280:3.645+0\left|L_{uckGrade}-4260\right|,4280 \le L_{uckGrade}<4290:3.649+0\left|L_{uckGrade}-4280\right|,4290 \le L_{uckGrade}<4300:3.65+0\left|L_{uckGrade}-4290\right|,4300 \le L_{uckGrade}<4310:3.652+0\left|L_{uckGrade}-4300\right|,4310 \le L_{uckGrade}<4320:3.653+0\left|L_{uckGrade}-4310\right|,4320 \le L_{uckGrade}<4330:3.655+0\left|L_{uckGrade}-4320\right|,4330 \le L_{uckGrade}<4340:3.656+0\left|L_{uckGrade}-4330\right|,4340 \le L_{uckGrade}<4360:3.658+0\left|L_{uckGrade}-4340\right|,4360 \le L_{uckGrade}<4370:3.66+0\left|L_{uckGrade}-4360\right|,4370 \le L_{uckGrade}<4380:3.662+0\left|L_{uckGrade}-4370\right|,4380 \le L_{uckGrade}<4390:3.663+0\left|L_{uckGrade}-4380\right|,4390 \le L_{uckGrade}<4420:3.665+0\left|L_{uckGrade}-4390\right|,4420 \le L_{uckGrade}<4430:3.668+0\left|L_{uckGrade}-4420\right|,4430 \le L_{uckGrade}<4470:3.67+0\left|L_{uckGrade}-4430\right|,4470 \le L_{uckGrade}<4480:3.674+0\left|L_{uckGrade}-4470\right|,4480 \le L_{uckGrade}<4610:3.676+0\left|L_{uckGrade}-4480\right|,4610 \le L_{uckGrade}<4620:3.689+0\left|L_{uckGrade}-4610\right|,4620 \le L_{uckGrade}<4660:3.689+0\left|L_{uckGrade}-4620\right|,4660 \le L_{uckGrade}<4670:3.693+0\left|L_{uckGrade}-4660\right|,4670 \le L_{uckGrade}<4690:3.693+0\left|L_{uckGrade}-4670\right|,4690 \le L_{uckGrade}<4700:3.695+0\left|L_{uckGrade}-4690\right|,4700 \le L_{uckGrade}<4720:3.695+0\left|L_{uckGrade}-4700\right|,4720 \le L_{uckGrade}<4730:3.697+0\left|L_{uckGrade}-4720\right|,4730 \le L_{uckGrade}<4740:3.697+0\left|L_{uckGrade}-4730\right|,4740 \le L_{uckGrade}<4750:3.698+0\left|L_{uckGrade}-4740\right|,4750 \le L_{uckGrade}<4760:3.698+0\left|L_{uckGrade}-4750\right|,4760 \le L_{uckGrade}<4770:3.699+0\left|L_{uckGrade}-4760\right|,4770 \le L_{uckGrade}<4780:3.699+0\left|L_{uckGrade}-4770\right|,4780 \le L_{uckGrade}<4790:3.7+0\left|L_{uckGrade}-4780\right|,4790 \le L_{uckGrade}<4800:3.7+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4810:3.701+0\left|L_{uckGrade}-4800\right|,4810 \le L_{uckGrade}<4820:3.701+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4840:3.702+0\left|L_{uckGrade}-4820\right|,4840 \le L_{uckGrade}<4850:3.702+0\left|L_{uckGrade}-4840\right|,4850 \le L_{uckGrade}<4870:3.703+0\left|L_{uckGrade}-4850\right|,4870 \le L_{uckGrade}<4880:3.703+0\left|L_{uckGrade}-4870\right|,4880 \le L_{uckGrade}<4910:3.704+0\left|L_{uckGrade}-4880\right|,4910 \le L_{uckGrade}<4920:3.704+0\left|L_{uckGrade}-4910\right|,4920 \le L_{uckGrade}<5000:3.705+0\left|L_{uckGrade}-4920\right|\right\}

See Example for how to use.

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

L_{uckGrade08}(L_{uckGrade})=\left\{0 \le L_{uckGrade}<20:1+0.001\left|L_{uckGrade}-0\right|,20 \le L_{uckGrade}<30:1.026+0.001\left|L_{uckGrade}-20\right|,30 \le L_{uckGrade}<60:1.038+0.001\left|L_{uckGrade}-30\right|,60 \le L_{uckGrade}<70:1.077+0.001\left|L_{uckGrade}-60\right|,70 \le L_{uckGrade}<90:1.089+0.001\left|L_{uckGrade}-70\right|,90 \le L_{uckGrade}<100:1.115+0.001\left|L_{uckGrade}-90\right|,100 \le L_{uckGrade}<110:1.127+0.001\left|L_{uckGrade}-100\right|,110 \le L_{uckGrade}<120:1.14+0.001\left|L_{uckGrade}-110\right|,120 \le L_{uckGrade}<130:1.152+0.001\left|L_{uckGrade}-120\right|,130 \le L_{uckGrade}<140:1.165+0.001\left|L_{uckGrade}-130\right|,140 \le L_{uckGrade}<150:1.177+0.001\left|L_{uckGrade}-140\right|,150 \le L_{uckGrade}<160:1.19+0.001\left|L_{uckGrade}-150\right|,160 \le L_{uckGrade}<170:1.202+0.001\left|L_{uckGrade}-160\right|,170 \le L_{uckGrade}<190:1.215+0.001\left|L_{uckGrade}-170\right|,190 \le L_{uckGrade}<200:1.239+0.001\left|L_{uckGrade}-190\right|,200 \le L_{uckGrade}<230:1.252+0.001\left|L_{uckGrade}-200\right|,230 \le L_{uckGrade}<240:1.288+0.001\left|L_{uckGrade}-230\right|,240 \le L_{uckGrade}<280:1.301+0.001\left|L_{uckGrade}-240\right|,280 \le L_{uckGrade}<290:1.349+0.001\left|L_{uckGrade}-280\right|,290 \le L_{uckGrade}<360:1.362+0.001\left|L_{uckGrade}-290\right|,360 \le L_{uckGrade}<370:1.446+0.001\left|L_{uckGrade}-360\right|,370 \le L_{uckGrade}<420:1.457+0.001\left|L_{uckGrade}-370\right|,420 \le L_{uckGrade}<430:1.517+0.001\left|L_{uckGrade}-420\right|,430 \le L_{uckGrade}<450:1.528+0.001\left|L_{uckGrade}-430\right|,450 \le L_{uckGrade}<460:1.552+0.001\left|L_{uckGrade}-450\right|,460 \le L_{uckGrade}<480:1.563+0.001\left|L_{uckGrade}-460\right|,480 \le L_{uckGrade}<490:1.587+0.001\left|L_{uckGrade}-480\right|,490 \le L_{uckGrade}<500:1.598+0.001\left|L_{uckGrade}-490\right|,500 \le L_{uckGrade}<510:1.61+0.001\left|L_{uckGrade}-500\right|,510 \le L_{uckGrade}<520:1.621+0.001\left|L_{uckGrade}-510\right|,520 \le L_{uckGrade}<530:1.633+0.001\left|L_{uckGrade}-520\right|,530 \le L_{uckGrade}<540:1.644+0.001\left|L_{uckGrade}-530\right|,540 \le L_{uckGrade}<550:1.656+0.001\left|L_{uckGrade}-540\right|,550 \le L_{uckGrade}<560:1.667+0.001\left|L_{uckGrade}-550\right|,560 \le L_{uckGrade}<580:1.679+0.001\left|L_{uckGrade}-560\right|,580 \le L_{uckGrade}<590:1.701+0.001\left|L_{uckGrade}-580\right|,590 \le L_{uckGrade}<610:1.713+0.001\left|L_{uckGrade}-590\right|,610 \le L_{uckGrade}<620:1.735+0.001\left|L_{uckGrade}-610\right|,620 \le L_{uckGrade}<660:1.747+0.001\left|L_{uckGrade}-620\right|,660 \le L_{uckGrade}<670:1.791+0.001\left|L_{uckGrade}-660\right|,670 \le L_{uckGrade}<760:1.803+0.001\left|L_{uckGrade}-670\right|,760 \le L_{uckGrade}<770:1.902+0.001\left|L_{uckGrade}-760\right|,770 \le L_{uckGrade}<810:1.912+0.001\left|L_{uckGrade}-770\right|,810 \le L_{uckGrade}<820:1.956+0.001\left|L_{uckGrade}-810\right|,820 \le L_{uckGrade}<850:1.966+0.001\left|L_{uckGrade}-820\right|,850 \le L_{uckGrade}<860:1.999+0.001\left|L_{uckGrade}-850\right|,860 \le L_{uckGrade}<870:2.009+0.001\left|L_{uckGrade}-860\right|,870 \le L_{uckGrade}<880:2.02+0.001\left|L_{uckGrade}-870\right|,880 \le L_{uckGrade}<900:2.03+0.001\left|L_{uckGrade}-880\right|,900 \le L_{uckGrade}<910:2.052+0.001\left|L_{uckGrade}-900\right|,910 \le L_{uckGrade}<920:2.062+0.001\left|L_{uckGrade}-910\right|,920 \le L_{uckGrade}<940:2.073+0.001\left|L_{uckGrade}-920\right|,940 \le L_{uckGrade}<950:2.093+0.001\left|L_{uckGrade}-940\right|,950 \le L_{uckGrade}<960:2.104+0.001\left|L_{uckGrade}-950\right|,960 \le L_{uckGrade}<970:2.114+0.001\left|L_{uckGrade}-960\right|,970 \le L_{uckGrade}<990:2.125+0.001\left|L_{uckGrade}-970\right|,990 \le L_{uckGrade}<1000:2.145+0.001\left|L_{uckGrade}-990\right|,1000 \le L_{uckGrade}<1040:2.156+0.001\left|L_{uckGrade}-1000\right|,1040 \le L_{uckGrade}<1050:2.196+0.001\left|L_{uckGrade}-1040\right|,1050 \le L_{uckGrade}<1160:2.207+0.001\left|L_{uckGrade}-1050\right|,1160 \le L_{uckGrade}<1170:2.317+0.001\left|L_{uckGrade}-1160\right|,1170 \le L_{uckGrade}<1210:2.326+0.001\left|L_{uckGrade}-1170\right|,1210 \le L_{uckGrade}<1220:2.366+0.001\left|L_{uckGrade}-1210\right|,1220 \le L_{uckGrade}<1240:2.375+0.001\left|L_{uckGrade}-1220\right|,1240 \le L_{uckGrade}<1250:2.395+0.001\left|L_{uckGrade}-1240\right|,1250 \le L_{uckGrade}<1270:2.404+0.001\left|L_{uckGrade}-1250\right|,1270 \le L_{uckGrade}<1280:2.424+0.001\left|L_{uckGrade}-1270\right|,1280 \le L_{uckGrade}<1290:2.433+0.001\left|L_{uckGrade}-1280\right|,1290 \le L_{uckGrade}<1300:2.443+0.001\left|L_{uckGrade}-1290\right|,1300 \le L_{uckGrade}<1310:2.452+0.001\left|L_{uckGrade}-1300\right|,1310 \le L_{uckGrade}<1320:2.462+0.001\left|L_{uckGrade}-1310\right|,1320 \le L_{uckGrade}<1330:2.471+0.001\left|L_{uckGrade}-1320\right|,1330 \le L_{uckGrade}<1350:2.481+0.001\left|L_{uckGrade}-1330\right|,1350 \le L_{uckGrade}<1360:2.499+0.001\left|L_{uckGrade}-1350\right|,1360 \le L_{uckGrade}<1380:2.509+0.001\left|L_{uckGrade}-1360\right|,1380 \le L_{uckGrade}<1390:2.527+0.001\left|L_{uckGrade}-1380\right|,1390 \le L_{uckGrade}<1420:2.537+0.001\left|L_{uckGrade}-1390\right|,1420 \le L_{uckGrade}<1430:2.564+0.001\left|L_{uckGrade}-1420\right|,1430 \le L_{uckGrade}<1560:2.574+0.001\left|L_{uckGrade}-1430\right|,1560 \le L_{uckGrade}<1570:2.691+0.001\left|L_{uckGrade}-1560\right|,1570 \le L_{uckGrade}<1600:2.699+0.001\left|L_{uckGrade}-1570\right|,1600 \le L_{uckGrade}<1610:2.726+0.001\left|L_{uckGrade}-1600\right|,1610 \le L_{uckGrade}<1630:2.734+0.001\left|L_{uckGrade}-1610\right|,1630 \le L_{uckGrade}<1640:2.752+0.001\left|L_{uckGrade}-1630\right|,1640 \le L_{uckGrade}<1660:2.76+0.001\left|L_{uckGrade}-1640\right|,1660 \le L_{uckGrade}<1670:2.778+0.001\left|L_{uckGrade}-1660\right|,1670 \le L_{uckGrade}<1680:2.786+0.001\left|L_{uckGrade}-1670\right|,1680 \le L_{uckGrade}<1690:2.795+0.001\left|L_{uckGrade}-1680\right|,1690 \le L_{uckGrade}<1700:2.803+0.001\left|L_{uckGrade}-1690\right|,1700 \le L_{uckGrade}<1710:2.812+0.001\left|L_{uckGrade}-1700\right|,1710 \le L_{uckGrade}<1720:2.82+0.001\left|L_{uckGrade}-1710\right|,1720 \le L_{uckGrade}<1740:2.829+0.001\left|L_{uckGrade}-1720\right|,1740 \le L_{uckGrade}<1750:2.845+0.001\left|L_{uckGrade}-1740\right|,1750 \le L_{uckGrade}<1760:2.854+0.001\left|L_{uckGrade}-1750\right|,1760 \le L_{uckGrade}<1770:2.862+0.001\left|L_{uckGrade}-1760\right|,1770 \le L_{uckGrade}<1810:2.871+0.001\left|L_{uckGrade}-1770\right|,1810 \le L_{uckGrade}<1820:2.903+0.001\left|L_{uckGrade}-1810\right|,1820 \le L_{uckGrade}<1960:2.912+0.001\left|L_{uckGrade}-1820\right|,1960 \le L_{uckGrade}<1970:3.024+0.001\left|L_{uckGrade}-1960\right|,1970 \le L_{uckGrade}<2000:3.031+0.001\left|L_{uckGrade}-1970\right|,2000 \le L_{uckGrade}<2010:3.055+0.001\left|L_{uckGrade}-2000\right|,2010 \le L_{uckGrade}<2030:3.062+0.001\left|L_{uckGrade}-2010\right|,2030 \le L_{uckGrade}<2040:3.078+0.001\left|L_{uckGrade}-2030\right|,2040 \le L_{uckGrade}<2050:3.085+0.001\left|L_{uckGrade}-2040\right|,2050 \le L_{uckGrade}<2060:3.093+0.001\left|L_{uckGrade}-2050\right|,2060 \le L_{uckGrade}<2070:3.1+0.001\left|L_{uckGrade}-2060\right|,2070 \le L_{uckGrade}<2080:3.108+0.001\left|L_{uckGrade}-2070\right|,2080 \le L_{uckGrade}<2090:3.115+0.001\left|L_{uckGrade}-2080\right|,2090 \le L_{uckGrade}<2100:3.123+0.001\left|L_{uckGrade}-2090\right|,2100 \le L_{uckGrade}<2110:3.13+0.001\left|L_{uckGrade}-2100\right|,2110 \le L_{uckGrade}<2120:3.138+0.001\left|L_{uckGrade}-2110\right|,2120 \le L_{uckGrade}<2130:3.145+0.001\left|L_{uckGrade}-2120\right|,2130 \le L_{uckGrade}<2150:3.153+0.001\left|L_{uckGrade}-2130\right|,2150 \le L_{uckGrade}<2160:3.167+0.001\left|L_{uckGrade}-2150\right|,2160 \le L_{uckGrade}<2190:3.175+0.001\left|L_{uckGrade}-2160\right|,2190 \le L_{uckGrade}<2200:3.196+0.001\left|L_{uckGrade}-2190\right|,2200 \le L_{uckGrade}<2350:3.204+0.001\left|L_{uckGrade}-2200\right|,2350 \le L_{uckGrade}<2360:3.309+0.001\left|L_{uckGrade}-2350\right|,2360 \le L_{uckGrade}<2390:3.315+0.001\left|L_{uckGrade}-2360\right|,2390 \le L_{uckGrade}<2400:3.336+0.001\left|L_{uckGrade}-2390\right|,2400 \le L_{uckGrade}<2420:3.342+0.001\left|L_{uckGrade}-2400\right|,2420 \le L_{uckGrade}<2430:3.356+0.001\left|L_{uckGrade}-2420\right|,2430 \le L_{uckGrade}<2440:3.362+0.001\left|L_{uckGrade}-2430\right|,2440 \le L_{uckGrade}<2450:3.369+0.001\left|L_{uckGrade}-2440\right|,2450 \le L_{uckGrade}<2470:3.375+0.001\left|L_{uckGrade}-2450\right|,2470 \le L_{uckGrade}<2490:3.389+0.001\left|L_{uckGrade}-2470\right|,2490 \le L_{uckGrade}<2500:3.401+0.001\left|L_{uckGrade}-2490\right|,2500 \le L_{uckGrade}<2510:3.408+0.001\left|L_{uckGrade}-2500\right|,2510 \le L_{uckGrade}<2520:3.414+0.001\left|L_{uckGrade}-2510\right|,2520 \le L_{uckGrade}<2540:3.421+0.001\left|L_{uckGrade}-2520\right|,2540 \le L_{uckGrade}<2550:3.433+0.001\left|L_{uckGrade}-2540\right|,2550 \le L_{uckGrade}<2580:3.44+0.001\left|L_{uckGrade}-2550\right|,2580 \le L_{uckGrade}<2590:3.458+0.001\left|L_{uckGrade}-2580\right|,2590 \le L_{uckGrade}<2750:3.465+0.001\left|L_{uckGrade}-2590\right|,2750 \le L_{uckGrade}<2760:3.561+0\left|L_{uckGrade}-2750\right|,2760 \le L_{uckGrade}<2780:3.566+0.001\left|L_{uckGrade}-2760\right|,2780 \le L_{uckGrade}<2790:3.578+0.001\left|L_{uckGrade}-2780\right|,2790 \le L_{uckGrade}<2810:3.583+0.001\left|L_{uckGrade}-2790\right|,2810 \le L_{uckGrade}<2820:3.595+0\left|L_{uckGrade}-2810\right|,2820 \le L_{uckGrade}<2840:3.6+0.001\left|L_{uckGrade}-2820\right|,2840 \le L_{uckGrade}<2850:3.612+0\left|L_{uckGrade}-2840\right|,2850 \le L_{uckGrade}<2860:3.617+0.001\left|L_{uckGrade}-2850\right|,2860 \le L_{uckGrade}<2870:3.623+0\left|L_{uckGrade}-2860\right|,2870 \le L_{uckGrade}<2880:3.628+0.001\left|L_{uckGrade}-2870\right|,2880 \le L_{uckGrade}<2900:3.634+0.001\left|L_{uckGrade}-2880\right|,2900 \le L_{uckGrade}<2910:3.644+0.001\left|L_{uckGrade}-2900\right|,2910 \le L_{uckGrade}<2930:3.65+0.001\left|L_{uckGrade}-2910\right|,2930 \le L_{uckGrade}<2940:3.66+0.001\left|L_{uckGrade}-2930\right|,2940 \le L_{uckGrade}<2960:3.666+0.001\left|L_{uckGrade}-2940\right|,2960 \le L_{uckGrade}<2970:3.676+0.001\left|L_{uckGrade}-2960\right|,2970 \le L_{uckGrade}<3140:3.682+0\left|L_{uckGrade}-2970\right|,3140 \le L_{uckGrade}<3150:3.767+0\left|L_{uckGrade}-3140\right|,3150 \le L_{uckGrade}<3180:3.771+0.001\left|L_{uckGrade}-3150\right|,3180 \le L_{uckGrade}<3190:3.786+0\left|L_{uckGrade}-3180\right|,3190 \le L_{uckGrade}<3200:3.79+0\left|L_{uckGrade}-3190\right|,3200 \le L_{uckGrade}<3210:3.795+0\left|L_{uckGrade}-3200\right|,3210 \le L_{uckGrade}<3230:3.799+0.001\left|L_{uckGrade}-3210\right|,3230 \le L_{uckGrade}<3240:3.809+0\left|L_{uckGrade}-3230\right|,3240 \le L_{uckGrade}<3250:3.813+0\left|L_{uckGrade}-3240\right|,3250 \le L_{uckGrade}<3260:3.818+0\left|L_{uckGrade}-3250\right|,3260 \le L_{uckGrade}<3270:3.822+0\left|L_{uckGrade}-3260\right|,3270 \le L_{uckGrade}<3290:3.827+0\left|L_{uckGrade}-3270\right|,3290 \le L_{uckGrade}<3300:3.835+0\left|L_{uckGrade}-3290\right|,3300 \le L_{uckGrade}<3310:3.84+0\left|L_{uckGrade}-3300\right|,3310 \le L_{uckGrade}<3320:3.844+0.001\left|L_{uckGrade}-3310\right|,3320 \le L_{uckGrade}<3350:3.849+0\left|L_{uckGrade}-3320\right|,3350 \le L_{uckGrade}<3360:3.861+0\left|L_{uckGrade}-3350\right|,3360 \le L_{uckGrade}<3420:3.866+0\left|L_{uckGrade}-3360\right|,3420 \le L_{uckGrade}<3430:3.89+0\left|L_{uckGrade}-3420\right|,3430 \le L_{uckGrade}<3460:3.895+0\left|L_{uckGrade}-3430\right|,3460 \le L_{uckGrade}<3470:3.907+0\left|L_{uckGrade}-3460\right|,3470 \le L_{uckGrade}<3530:3.91+0\left|L_{uckGrade}-3470\right|,3530 \le L_{uckGrade}<3540:3.934+0\left|L_{uckGrade}-3530\right|,3540 \le L_{uckGrade}<3570:3.937+0\left|L_{uckGrade}-3540\right|,3570 \le L_{uckGrade}<3580:3.949+0\left|L_{uckGrade}-3570\right|,3580 \le L_{uckGrade}<3590:3.952+0\left|L_{uckGrade}-3580\right|,3590 \le L_{uckGrade}<3600:3.956+0\left|L_{uckGrade}-3590\right|,3600 \le L_{uckGrade}<3620:3.959+0\left|L_{uckGrade}-3600\right|,3620 \le L_{uckGrade}<3630:3.967+0\left|L_{uckGrade}-3620\right|,3630 \le L_{uckGrade}<3640:3.97+0\left|L_{uckGrade}-3630\right|,3640 \le L_{uckGrade}<3650:3.974+0\left|L_{uckGrade}-3640\right|,3650 \le L_{uckGrade}<3660:3.977+0\left|L_{uckGrade}-3650\right|,3660 \le L_{uckGrade}<3670:3.981+0\left|L_{uckGrade}-3660\right|,3670 \le L_{uckGrade}<3680:3.984+0\left|L_{uckGrade}-3670\right|,3680 \le L_{uckGrade}<3700:3.988+0\left|L_{uckGrade}-3680\right|,3700 \le L_{uckGrade}<3710:3.994+0\left|L_{uckGrade}-3700\right|,3710 \le L_{uckGrade}<3740:3.998+0\left|L_{uckGrade}-3710\right|,3740 \le L_{uckGrade}<3750:4.007+0\left|L_{uckGrade}-3740\right|,3750 \le L_{uckGrade}<3800:4.011+0\left|L_{uckGrade}-3750\right|,3800 \le L_{uckGrade}<3810:4.026+0\left|L_{uckGrade}-3800\right|,3810 \le L_{uckGrade}<3860:4.03+0\left|L_{uckGrade}-3810\right|,3860 \le L_{uckGrade}<3870:4.045+0\left|L_{uckGrade}-3860\right|,3870 \le L_{uckGrade}<3920:4.047+0\left|L_{uckGrade}-3870\right|,3920 \le L_{uckGrade}<3930:4.062+0\left|L_{uckGrade}-3920\right|,3930 \le L_{uckGrade}<3960:4.064+0\left|L_{uckGrade}-3930\right|,3960 \le L_{uckGrade}<3970:4.073+0\left|L_{uckGrade}-3960\right|,3970 \le L_{uckGrade}<3990:4.075+0\left|L_{uckGrade}-3970\right|,3990 \le L_{uckGrade}<4000:4.081+0\left|L_{uckGrade}-3990\right|,4000 \le L_{uckGrade}<4010:4.083+0\left|L_{uckGrade}-4000\right|,4010 \le L_{uckGrade}<4020:4.086+0\left|L_{uckGrade}-4010\right|,4020 \le L_{uckGrade}<4030:4.088+0\left|L_{uckGrade}-4020\right|,4030 \le L_{uckGrade}<4040:4.091+0\left|L_{uckGrade}-4030\right|,4040 \le L_{uckGrade}<4050:4.093+0\left|L_{uckGrade}-4040\right|,4050 \le L_{uckGrade}<4060:4.096+0\left|L_{uckGrade}-4050\right|,4060 \le L_{uckGrade}<4070:4.098+0\left|L_{uckGrade}-4060\right|,4070 \le L_{uckGrade}<4090:4.101+0\left|L_{uckGrade}-4070\right|,4090 \le L_{uckGrade}<4100:4.105+0\left|L_{uckGrade}-4090\right|,4100 \le L_{uckGrade}<4130:4.108+0\left|L_{uckGrade}-4100\right|,4130 \le L_{uckGrade}<4140:4.114+0\left|L_{uckGrade}-4130\right|,4140 \le L_{uckGrade}<4190:4.117+0\left|L_{uckGrade}-4140\right|,4190 \le L_{uckGrade}<4200:4.127+0\left|L_{uckGrade}-4190\right|,4200 \le L_{uckGrade}<4250:4.13+0\left|L_{uckGrade}-4200\right|,4250 \le L_{uckGrade}<4260:4.14+0\left|L_{uckGrade}-4250\right|,4260 \le L_{uckGrade}<4310:4.141+0\left|L_{uckGrade}-4260\right|,4310 \le L_{uckGrade}<4320:4.151+0\left|L_{uckGrade}-4310\right|,4320 \le L_{uckGrade}<4350:4.152+0\left|L_{uckGrade}-4320\right|,4350 \le L_{uckGrade}<4360:4.158+0\left|L_{uckGrade}-4350\right|,4360 \le L_{uckGrade}<4380:4.159+0\left|L_{uckGrade}-4360\right|,4380 \le L_{uckGrade}<4390:4.163+0\left|L_{uckGrade}-4380\right|,4390 \le L_{uckGrade}<4400:4.164+0\left|L_{uckGrade}-4390\right|,4400 \le L_{uckGrade}<4410:4.166+0\left|L_{uckGrade}-4400\right|,4410 \le L_{uckGrade}<4420:4.167+0\left|L_{uckGrade}-4410\right|,4420 \le L_{uckGrade}<4430:4.169+0\left|L_{uckGrade}-4420\right|,4430 \le L_{uckGrade}<4440:4.17+0\left|L_{uckGrade}-4430\right|,4440 \le L_{uckGrade}<4450:4.172+0\left|L_{uckGrade}-4440\right|,4450 \le L_{uckGrade}<4460:4.173+0\left|L_{uckGrade}-4450\right|,4460 \le L_{uckGrade}<4480:4.175+0\left|L_{uckGrade}-4460\right|,4480 \le L_{uckGrade}<4490:4.177+0\left|L_{uckGrade}-4480\right|,4490 \le L_{uckGrade}<4520:4.179+0\left|L_{uckGrade}-4490\right|,4520 \le L_{uckGrade}<4530:4.182+0\left|L_{uckGrade}-4520\right|,4530 \le L_{uckGrade}<4570:4.184+0\left|L_{uckGrade}-4530\right|,4570 \le L_{uckGrade}<4580:4.188+0\left|L_{uckGrade}-4570\right|,4580 \le L_{uckGrade}<4650:4.19+0\left|L_{uckGrade}-4580\right|,4650 \le L_{uckGrade}<4660:4.197+0\left|L_{uckGrade}-4650\right|,4660 \le L_{uckGrade}<4710:4.197+0\left|L_{uckGrade}-4660\right|,4710 \le L_{uckGrade}<4720:4.202+0\left|L_{uckGrade}-4710\right|,4720 \le L_{uckGrade}<4740:4.202+0\left|L_{uckGrade}-4720\right|,4740 \le L_{uckGrade}<4750:4.204+0\left|L_{uckGrade}-4740\right|,4750 \le L_{uckGrade}<4770:4.204+0\left|L_{uckGrade}-4750\right|,4770 \le L_{uckGrade}<4780:4.206+0\left|L_{uckGrade}-4770\right|,4780 \le L_{uckGrade}<4790:4.206+0\left|L_{uckGrade}-4780\right|,4790 \le L_{uckGrade}<4800:4.207+0\left|L_{uckGrade}-4790\right|,4800 \le L_{uckGrade}<4810:4.207+0\left|L_{uckGrade}-4800\right|,4810 \le L_{uckGrade}<4820:4.208+0\left|L_{uckGrade}-4810\right|,4820 \le L_{uckGrade}<4830:4.208+0\left|L_{uckGrade}-4820\right|,4830 \le L_{uckGrade}<4840:4.209+0\left|L_{uckGrade}-4830\right|,4840 \le L_{uckGrade}<4850:4.209+0\left|L_{uckGrade}-4840\right|,4850 \le L_{uckGrade}<4870:4.21+0\left|L_{uckGrade}-4850\right|,4870 \le L_{uckGrade}<4880:4.21+0\left|L_{uckGrade}-4870\right|,4880 \le L_{uckGrade}<4900:4.211+0\left|L_{uckGrade}-4880\right|,4900 \le L_{uckGrade}<4910:4.211+0\left|L_{uckGrade}-4900\right|,4910 \le L_{uckGrade}<4960:4.212+0\left|L_{uckGrade}-4910\right|,4960 \le L_{uckGrade}<4970:4.212+0\left|L_{uckGrade}-4960\right|,4970 \le L_{uckGrade}<5000:4.213+0\left|L_{uckGrade}-4970\right|\right\}

See Example for how to use.

Stats#Physical Damage Reduction (from AR) curve changed.

Before:

Armor Rating governs your Physical Damage Reduction.

-300 Armor Rating starts at -619% Physical Damage Reduction.

• -300 -> -619%
• -300 to -3 = 2% each, up to -25%
• -3 to 20 = 1% each, up to -2%
• 20 to 25 = 0.5% each, up to 0.5%
• 25 to 30 = 0.45% each, up to 2.75%
• 30 to 35 = 0.4% each, up to 4.75%
• 35 to 40 = 0.35% each, up to 6.5%
• 40 to 55 = 0.3% each, up to 11%
• 55 to 75 = 0.25% each, up to 16%
• 75 to 275 = 0.2% each, up to 56%
• 275 to 315 = 0.15% each, up to 62%
• 315 to 374 = 0.1% each, up to 67.9%
• 374 to 500 = 0.05% each, up to 74.2%

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

P_{hysicalDamageReduction}(A_{rmorRating})=\left\{-300 \le A_{rmorRating}<-3:-6.19+0.02\left|A_{rmorRating}--300\right|,-3 \le A_{rmorRating}<20:-0.25+0.01\left|A_{rmorRating}--3\right|,20 \le A_{rmorRating}<25:-0.02+0.005\left|A_{rmorRating}-20\right|,25 \le A_{rmorRating}<30:0.005+0.004\left|A_{rmorRating}-25\right|,30 \le A_{rmorRating}<35:0.028+0.004\left|A_{rmorRating}-30\right|,35 \le A_{rmorRating}<40:0.048+0.004\left|A_{rmorRating}-35\right|,40 \le A_{rmorRating}<55:0.065+0.003\left|A_{rmorRating}-40\right|,55 \le A_{rmorRating}<75:0.11+0.003\left|A_{rmorRating}-55\right|,75 \le A_{rmorRating}<275:0.16+0.002\left|A_{rmorRating}-75\right|,275 \le A_{rmorRating}<315:0.56+0.001\left|A_{rmorRating}-275\right|,315 \le A_{rmorRating}<374:0.62+0.001\left|A_{rmorRating}-315\right|,374 \le A_{rmorRating}<500:0.679+0\left|A_{rmorRating}-374\right|\right\}

See Example for how to use.

After:

Armor Rating governs your Physical Damage Reduction.

-300 Armor Rating starts at -619% Physical Damage Reduction.

• -300 -> -619%
• -300 to -12 = 2% each, up to -43%
• -12 to -4 = 1.5% each, up to -31%
• -4 to 0 = 1.2% each, up to -26.2%
• 0 to 20 = 1% each, up to -6.2%
• 20 to 30 = 0.5% each, up to -1.2%
• 30 to 45 = 0.4% each, up to 4.8%
• 45 to 65 = 0.3% each, up to 10.8%
• 65 to 125 = 0.25% each, up to 25.8%
• 125 to 275 = 0.2% each, up to 55.8%
• 275 to 312 = 0.15% each, up to 61.35%
• 312 to 313 = 0.12% each, up to 61.47%
• 313 to 314 = 0.18% each, up to 61.65%
• 314 to 315 = 0.15% each, up to 61.8%
• 315 to 374 = 0.1% each, up to 67.7%
• 374 to 455 = 0.05% each, up to 71.75%
• 455 to 456 = 0.03% each, up to 71.78%
• 456 to 457 = 0.07% each, up to 71.85%
• 457 to 475 = 0.05% each, up to 72.75%
• 475 to 476 = 0.03% each, up to 72.78%
• 476 to 477 = 0.065% each, up to 72.845%
• 477 to 478 = 0.055% each, up to 72.9%
• 478 to 500 = 0.05% each, up to 74%

LaTeX Formula

Can be pasted into Desmos or other LaTeX editors for quick use of the equation.

Triple click to select all. Note: Some browsers will add an extra return carriage (line end) after the formula. Remove it before pasting for best results.

P_{hysicalDamageReduction}(A_{rmorRating})=\left\{-300 \le A_{rmorRating}<-12:-6.19+0.02\left|A_{rmorRating}--300\right|,-12 \le A_{rmorRating}<-4:-0.43+0.015\left|A_{rmorRating}--12\right|,-4 \le A_{rmorRating}<0:-0.31+0.012\left|A_{rmorRating}--4\right|,0 \le A_{rmorRating}<20:-0.262+0.01\left|A_{rmorRating}-0\right|,20 \le A_{rmorRating}<30:-0.062+0.005\left|A_{rmorRating}-20\right|,30 \le A_{rmorRating}<45:-0.012+0.004\left|A_{rmorRating}-30\right|,45 \le A_{rmorRating}<65:0.048+0.003\left|A_{rmorRating}-45\right|,65 \le A_{rmorRating}<125:0.108+0.003\left|A_{rmorRating}-65\right|,125 \le A_{rmorRating}<275:0.258+0.002\left|A_{rmorRating}-125\right|,275 \le A_{rmorRating}<312:0.558+0.001\left|A_{rmorRating}-275\right|,312 \le A_{rmorRating}<313:0.614+0.001\left|A_{rmorRating}-312\right|,313 \le A_{rmorRating}<314:0.615+0.002\left|A_{rmorRating}-313\right|,314 \le A_{rmorRating}<315:0.617+0.001\left|A_{rmorRating}-314\right|,315 \le A_{rmorRating}<374:0.618+0.001\left|A_{rmorRating}-315\right|,374 \le A_{rmorRating}<455:0.677+0\left|A_{rmorRating}-374\right|,455 \le A_{rmorRating}<456:0.718+0\left|A_{rmorRating}-455\right|,456 \le A_{rmorRating}<457:0.718+0.001\left|A_{rmorRating}-456\right|,457 \le A_{rmorRating}<475:0.719+0.001\left|A_{rmorRating}-457\right|,475 \le A_{rmorRating}<476:0.728+0\left|A_{rmorRating}-475\right|,476 \le A_{rmorRating}<477:0.728+0.001\left|A_{rmorRating}-476\right|,477 \le A_{rmorRating}<478:0.728+0.001\left|A_{rmorRating}-477\right|,478 \le A_{rmorRating}<500:0.729+0.001\left|A_{rmorRating}-478\right|\right\}

See Example for how to use.