Patch:6.8

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.

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.

But now that the curves are no longer so identical, tables containing only high end luck grades will see far greater effect. The increased relative difference between the high end luck grades makes luck more effective for high roller mobs, which is particularly important when farming HR bosses.

Before:

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

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}<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:

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}<500:1+-0.001\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}<500:1+-0.001\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}<500:1+-0.001\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}<500:1+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}<13:1+0.003\left|L_{uckGrade}-0\right|,13 \le L_{uckGrade}<14:1.039+0.002\left|L_{uckGrade}-13\right|,14 \le L_{uckGrade}<22:1.041+0.003\left|L_{uckGrade}-14\right|,22 \le L_{uckGrade}<23:1.065+0.002\left|L_{uckGrade}-22\right|,23 \le L_{uckGrade}<29:1.067+0.003\left|L_{uckGrade}-23\right|,29 \le L_{uckGrade}<30:1.085+0.002\left|L_{uckGrade}-29\right|,30 \le L_{uckGrade}<34:1.087+0.003\left|L_{uckGrade}-30\right|,34 \le L_{uckGrade}<35:1.099+0.002\left|L_{uckGrade}-34\right|,35 \le L_{uckGrade}<39:1.101+0.003\left|L_{uckGrade}-35\right|,39 \le L_{uckGrade}<40:1.113+0.002\left|L_{uckGrade}-39\right|,40 \le L_{uckGrade}<43:1.115+0.003\left|L_{uckGrade}-40\right|,43 \le L_{uckGrade}<44:1.124+0.002\left|L_{uckGrade}-43\right|,44 \le L_{uckGrade}<47:1.126+0.003\left|L_{uckGrade}-44\right|,47 \le L_{uckGrade}<48:1.135+0.002\left|L_{uckGrade}-47\right|,48 \le L_{uckGrade}<50:1.137+0.003\left|L_{uckGrade}-48\right|,50 \le L_{uckGrade}<51:1.143+0.002\left|L_{uckGrade}-50\right|,51 \le L_{uckGrade}<53:1.145+0.003\left|L_{uckGrade}-51\right|,53 \le L_{uckGrade}<54:1.151+0.002\left|L_{uckGrade}-53\right|,54 \le L_{uckGrade}<56:1.153+0.003\left|L_{uckGrade}-54\right|,56 \le L_{uckGrade}<57:1.159+0.002\left|L_{uckGrade}-56\right|,57 \le L_{uckGrade}<59:1.161+0.003\left|L_{uckGrade}-57\right|,59 \le L_{uckGrade}<60:1.167+0.002\left|L_{uckGrade}-59\right|,60 \le L_{uckGrade}<62:1.169+0.003\left|L_{uckGrade}-60\right|,62 \le L_{uckGrade}<63:1.175+0.002\left|L_{uckGrade}-62\right|,63 \le L_{uckGrade}<65:1.177+0.003\left|L_{uckGrade}-63\right|,65 \le L_{uckGrade}<66:1.183+0.002\left|L_{uckGrade}-65\right|,66 \le L_{uckGrade}<67:1.185+0.003\left|L_{uckGrade}-66\right|,67 \le L_{uckGrade}<68:1.188+0.002\left|L_{uckGrade}-67\right|,68 \le L_{uckGrade}<70:1.19+0.003\left|L_{uckGrade}-68\right|,70 \le L_{uckGrade}<71:1.196+0.002\left|L_{uckGrade}-70\right|,71 \le L_{uckGrade}<72:1.198+0.003\left|L_{uckGrade}-71\right|,72 \le L_{uckGrade}<73:1.201+0.002\left|L_{uckGrade}-72\right|,73 \le L_{uckGrade}<74:1.203+0.003\left|L_{uckGrade}-73\right|,74 \le L_{uckGrade}<75:1.206+0.002\left|L_{uckGrade}-74\right|,75 \le L_{uckGrade}<76:1.208+0.003\left|L_{uckGrade}-75\right|,76 \le L_{uckGrade}<77:1.211+0.002\left|L_{uckGrade}-76\right|,77 \le L_{uckGrade}<79:1.213+0.003\left|L_{uckGrade}-77\right|,79 \le L_{uckGrade}<80:1.219+0.002\left|L_{uckGrade}-79\right|,80 \le L_{uckGrade}<81:1.221+0.003\left|L_{uckGrade}-80\right|,81 \le L_{uckGrade}<82:1.224+0.002\left|L_{uckGrade}-81\right|,82 \le L_{uckGrade}<83:1.226+0.003\left|L_{uckGrade}-82\right|,83 \le L_{uckGrade}<84:1.229+0.002\left|L_{uckGrade}-83\right|,84 \le L_{uckGrade}<85:1.231+0.003\left|L_{uckGrade}-84\right|,85 \le L_{uckGrade}<86:1.234+0.002\left|L_{uckGrade}-85\right|,86 \le L_{uckGrade}<87:1.236+0.003\left|L_{uckGrade}-86\right|,87 \le L_{uckGrade}<88:1.239+0.002\left|L_{uckGrade}-87\right|,88 \le L_{uckGrade}<89:1.241+0.003\left|L_{uckGrade}-88\right|,89 \le L_{uckGrade}<91:1.244+0.002\left|L_{uckGrade}-89\right|,91 \le L_{uckGrade}<92:1.248+0.003\left|L_{uckGrade}-91\right|,92 \le L_{uckGrade}<93:1.251+0.002\left|L_{uckGrade}-92\right|,93 \le L_{uckGrade}<94:1.253+0.003\left|L_{uckGrade}-93\right|,94 \le L_{uckGrade}<95:1.256+0.002\left|L_{uckGrade}-94\right|,95 \le L_{uckGrade}<96:1.258+0.003\left|L_{uckGrade}-95\right|,96 \le L_{uckGrade}<98:1.261+0.002\left|L_{uckGrade}-96\right|,98 \le L_{uckGrade}<99:1.265+0.003\left|L_{uckGrade}-98\right|,99 \le L_{uckGrade}<100:1.268+0.002\left|L_{uckGrade}-99\right|,100 \le L_{uckGrade}<101:1.27+0.003\left|L_{uckGrade}-100\right|,101 \le L_{uckGrade}<103:1.273+0.002\left|L_{uckGrade}-101\right|,103 \le L_{uckGrade}<104:1.277+0.003\left|L_{uckGrade}-103\right|,104 \le L_{uckGrade}<105:1.28+0.002\left|L_{uckGrade}-104\right|,105 \le L_{uckGrade}<106:1.282+0.003\left|L_{uckGrade}-105\right|,106 \le L_{uckGrade}<108:1.285+0.002\left|L_{uckGrade}-106\right|,108 \le L_{uckGrade}<109:1.289+0.003\left|L_{uckGrade}-108\right|,109 \le L_{uckGrade}<111:1.292+0.002\left|L_{uckGrade}-109\right|,111 \le L_{uckGrade}<112:1.296+0.003\left|L_{uckGrade}-111\right|,112 \le L_{uckGrade}<114:1.299+0.002\left|L_{uckGrade}-112\right|,114 \le L_{uckGrade}<115:1.303+0.003\left|L_{uckGrade}-114\right|,115 \le L_{uckGrade}<117:1.306+0.002\left|L_{uckGrade}-115\right|,117 \le L_{uckGrade}<118:1.31+0.003\left|L_{uckGrade}-117\right|,118 \le L_{uckGrade}<121:1.313+0.002\left|L_{uckGrade}-118\right|,121 \le L_{uckGrade}<122:1.319+0.003\left|L_{uckGrade}-121\right|,122 \le L_{uckGrade}<124:1.322+0.002\left|L_{uckGrade}-122\right|,124 \le L_{uckGrade}<125:1.326+0.003\left|L_{uckGrade}-124\right|,125 \le L_{uckGrade}<129:1.329+0.002\left|L_{uckGrade}-125\right|,129 \le L_{uckGrade}<130:1.337+0.003\left|L_{uckGrade}-129\right|,130 \le L_{uckGrade}<133:1.34+0.002\left|L_{uckGrade}-130\right|,133 \le L_{uckGrade}<134:1.346+0.003\left|L_{uckGrade}-133\right|,134 \le L_{uckGrade}<139:1.349+0.002\left|L_{uckGrade}-134\right|,139 \le L_{uckGrade}<140:1.359+0.003\left|L_{uckGrade}-139\right|,140 \le L_{uckGrade}<146:1.362+0.002\left|L_{uckGrade}-140\right|,146 \le L_{uckGrade}<147:1.374+0.003\left|L_{uckGrade}-146\right|,147 \le L_{uckGrade}<156:1.377+0.002\left|L_{uckGrade}-147\right|,156 \le L_{uckGrade}<157:1.395+0.003\left|L_{uckGrade}-156\right|,157 \le L_{uckGrade}<177:1.398+0.002\left|L_{uckGrade}-157\right|,177 \le L_{uckGrade}<178:1.438+0.001\left|L_{uckGrade}-177\right|,178 \le L_{uckGrade}<188:1.439+0.002\left|L_{uckGrade}-178\right|,188 \le L_{uckGrade}<189:1.459+0.001\left|L_{uckGrade}-188\right|,189 \le L_{uckGrade}<195:1.46+0.002\left|L_{uckGrade}-189\right|,195 \le L_{uckGrade}<196:1.472+0.001\left|L_{uckGrade}-195\right|,196 \le L_{uckGrade}<200:1.473+0.002\left|L_{uckGrade}-196\right|,200 \le L_{uckGrade}<201:1.481+0.001\left|L_{uckGrade}-200\right|,201 \le L_{uckGrade}<205:1.482+0.002\left|L_{uckGrade}-201\right|,205 \le L_{uckGrade}<206:1.49+0.001\left|L_{uckGrade}-205\right|,206 \le L_{uckGrade}<209:1.491+0.002\left|L_{uckGrade}-206\right|,209 \le L_{uckGrade}<210:1.497+0.001\left|L_{uckGrade}-209\right|,210 \le L_{uckGrade}<213:1.498+0.002\left|L_{uckGrade}-210\right|,213 \le L_{uckGrade}<214:1.504+0.001\left|L_{uckGrade}-213\right|,214 \le L_{uckGrade}<216:1.505+0.002\left|L_{uckGrade}-214\right|,216 \le L_{uckGrade}<217:1.509+0.001\left|L_{uckGrade}-216\right|,217 \le L_{uckGrade}<219:1.51+0.002\left|L_{uckGrade}-217\right|,219 \le L_{uckGrade}<220:1.514+0.001\left|L_{uckGrade}-219\right|,220 \le L_{uckGrade}<222:1.515+0.002\left|L_{uckGrade}-220\right|,222 \le L_{uckGrade}<223:1.519+0.001\left|L_{uckGrade}-222\right|,223 \le L_{uckGrade}<225:1.52+0.002\left|L_{uckGrade}-223\right|,225 \le L_{uckGrade}<226:1.524+0.001\left|L_{uckGrade}-225\right|,226 \le L_{uckGrade}<228:1.525+0.002\left|L_{uckGrade}-226\right|,228 \le L_{uckGrade}<229:1.529+0.001\left|L_{uckGrade}-228\right|,229 \le L_{uckGrade}<231:1.53+0.002\left|L_{uckGrade}-229\right|,231 \le L_{uckGrade}<232:1.534+0.001\left|L_{uckGrade}-231\right|,232 \le L_{uckGrade}<233:1.535+0.002\left|L_{uckGrade}-232\right|,233 \le L_{uckGrade}<234:1.537+0.001\left|L_{uckGrade}-233\right|,234 \le L_{uckGrade}<236:1.538+0.002\left|L_{uckGrade}-234\right|,236 \le L_{uckGrade}<237:1.542+0.001\left|L_{uckGrade}-236\right|,237 \le L_{uckGrade}<238:1.543+0.002\left|L_{uckGrade}-237\right|,238 \le L_{uckGrade}<239:1.545+0.001\left|L_{uckGrade}-238\right|,239 \le L_{uckGrade}<240:1.546+0.002\left|L_{uckGrade}-239\right|,240 \le L_{uckGrade}<241:1.548+0.001\left|L_{uckGrade}-240\right|,241 \le L_{uckGrade}<243:1.549+0.002\left|L_{uckGrade}-241\right|,243 \le L_{uckGrade}<244:1.553+0.001\left|L_{uckGrade}-243\right|,244 \le L_{uckGrade}<245:1.554+0.002\left|L_{uckGrade}-244\right|,245 \le L_{uckGrade}<246:1.556+0.001\left|L_{uckGrade}-245\right|,246 \le L_{uckGrade}<247:1.557+0.002\left|L_{uckGrade}-246\right|,247 \le L_{uckGrade}<248:1.559+0.001\left|L_{uckGrade}-247\right|,248 \le L_{uckGrade}<249:1.56+0.002\left|L_{uckGrade}-248\right|,249 \le L_{uckGrade}<250:1.562+0.001\left|L_{uckGrade}-249\right|,250 \le L_{uckGrade}<251:1.563+0.002\left|L_{uckGrade}-250\right|,251 \le L_{uckGrade}<252:1.565+0.001\left|L_{uckGrade}-251\right|,252 \le L_{uckGrade}<253:1.566+0.002\left|L_{uckGrade}-252\right|,253 \le L_{uckGrade}<254:1.568+0.001\left|L_{uckGrade}-253\right|,254 \le L_{uckGrade}<255:1.569+0.002\left|L_{uckGrade}-254\right|,255 \le L_{uckGrade}<256:1.571+0.001\left|L_{uckGrade}-255\right|,256 \le L_{uckGrade}<257:1.572+0.002\left|L_{uckGrade}-256\right|,257 \le L_{uckGrade}<258:1.574+0.001\left|L_{uckGrade}-257\right|,258 \le L_{uckGrade}<259:1.575+0.002\left|L_{uckGrade}-258\right|,259 \le L_{uckGrade}<261:1.577+0.001\left|L_{uckGrade}-259\right|,261 \le L_{uckGrade}<262:1.579+0.002\left|L_{uckGrade}-261\right|,262 \le L_{uckGrade}<263:1.581+0.001\left|L_{uckGrade}-262\right|,263 \le L_{uckGrade}<264:1.582+0.002\left|L_{uckGrade}-263\right|,264 \le L_{uckGrade}<265:1.584+0.001\left|L_{uckGrade}-264\right|,265 \le L_{uckGrade}<266:1.585+0.002\left|L_{uckGrade}-265\right|,266 \le L_{uckGrade}<268:1.587+0.001\left|L_{uckGrade}-266\right|,268 \le L_{uckGrade}<269:1.589+0.002\left|L_{uckGrade}-268\right|,269 \le L_{uckGrade}<271:1.591+0.001\left|L_{uckGrade}-269\right|,271 \le L_{uckGrade}<272:1.593+0.002\left|L_{uckGrade}-271\right|,272 \le L_{uckGrade}<273:1.595+0.001\left|L_{uckGrade}-272\right|,273 \le L_{uckGrade}<274:1.596+0.002\left|L_{uckGrade}-273\right|,274 \le L_{uckGrade}<276:1.598+0.001\left|L_{uckGrade}-274\right|,276 \le L_{uckGrade}<277:1.6+0.002\left|L_{uckGrade}-276\right|,277 \le L_{uckGrade}<279:1.602+0.001\left|L_{uckGrade}-277\right|,279 \le L_{uckGrade}<280:1.604+0.002\left|L_{uckGrade}-279\right|,280 \le L_{uckGrade}<282:1.606+0.001\left|L_{uckGrade}-280\right|,282 \le L_{uckGrade}<283:1.608+0.002\left|L_{uckGrade}-282\right|,283 \le L_{uckGrade}<286:1.61+0.001\left|L_{uckGrade}-283\right|,286 \le L_{uckGrade}<287:1.613+0.002\left|L_{uckGrade}-286\right|,287 \le L_{uckGrade}<289:1.615+0.001\left|L_{uckGrade}-287\right|,289 \le L_{uckGrade}<290:1.617+0.002\left|L_{uckGrade}-289\right|,290 \le L_{uckGrade}<293:1.619+0.001\left|L_{uckGrade}-290\right|,293 \le L_{uckGrade}<294:1.622+0.002\left|L_{uckGrade}-293\right|,294 \le L_{uckGrade}<298:1.624+0.001\left|L_{uckGrade}-294\right|,298 \le L_{uckGrade}<299:1.628+0.002\left|L_{uckGrade}-298\right|,299 \le L_{uckGrade}<303:1.63+0.001\left|L_{uckGrade}-299\right|,303 \le L_{uckGrade}<304:1.634+0.002\left|L_{uckGrade}-303\right|,304 \le L_{uckGrade}<309:1.636+0.001\left|L_{uckGrade}-304\right|,309 \le L_{uckGrade}<310:1.641+0.002\left|L_{uckGrade}-309\right|,310 \le L_{uckGrade}<317:1.643+0.001\left|L_{uckGrade}-310\right|,317 \le L_{uckGrade}<318:1.65+0.002\left|L_{uckGrade}-317\right|,318 \le L_{uckGrade}<350:1.652+0.001\left|L_{uckGrade}-318\right|,350 \le L_{uckGrade}<351:1.684+0\left|L_{uckGrade}-350\right|,351 \le L_{uckGrade}<358:1.684+0.001\left|L_{uckGrade}-351\right|,358 \le L_{uckGrade}<359:1.691+0\left|L_{uckGrade}-358\right|,359 \le L_{uckGrade}<364:1.691+0.001\left|L_{uckGrade}-359\right|,364 \le L_{uckGrade}<365:1.696+0\left|L_{uckGrade}-364\right|,365 \le L_{uckGrade}<369:1.696+0.001\left|L_{uckGrade}-365\right|,369 \le L_{uckGrade}<370:1.7+0\left|L_{uckGrade}-369\right|,370 \le L_{uckGrade}<373:1.7+0.001\left|L_{uckGrade}-370\right|,373 \le L_{uckGrade}<374:1.703+0\left|L_{uckGrade}-373\right|,374 \le L_{uckGrade}<377:1.703+0.001\left|L_{uckGrade}-374\right|,377 \le L_{uckGrade}<378:1.706+0\left|L_{uckGrade}-377\right|,378 \le L_{uckGrade}<381:1.706+0.001\left|L_{uckGrade}-378\right|,381 \le L_{uckGrade}<382:1.709+0\left|L_{uckGrade}-381\right|,382 \le L_{uckGrade}<384:1.709+0.001\left|L_{uckGrade}-382\right|,384 \le L_{uckGrade}<385:1.711+0\left|L_{uckGrade}-384\right|,385 \le L_{uckGrade}<388:1.711+0.001\left|L_{uckGrade}-385\right|,388 \le L_{uckGrade}<389:1.714+0\left|L_{uckGrade}-388\right|,389 \le L_{uckGrade}<391:1.714+0.001\left|L_{uckGrade}-389\right|,391 \le L_{uckGrade}<392:1.716+0\left|L_{uckGrade}-391\right|,392 \le L_{uckGrade}<393:1.716+0.001\left|L_{uckGrade}-392\right|,393 \le L_{uckGrade}<394:1.717+0\left|L_{uckGrade}-393\right|,394 \le L_{uckGrade}<396:1.717+0.001\left|L_{uckGrade}-394\right|,396 \le L_{uckGrade}<397:1.719+0\left|L_{uckGrade}-396\right|,397 \le L_{uckGrade}<399:1.719+0.001\left|L_{uckGrade}-397\right|,399 \le L_{uckGrade}<400:1.721+0\left|L_{uckGrade}-399\right|,400 \le L_{uckGrade}<401:1.721+0.001\left|L_{uckGrade}-400\right|,401 \le L_{uckGrade}<402:1.722+0\left|L_{uckGrade}-401\right|,402 \le L_{uckGrade}<404:1.722+0.001\left|L_{uckGrade}-402\right|,404 \le L_{uckGrade}<405:1.724+0\left|L_{uckGrade}-404\right|,405 \le L_{uckGrade}<406:1.724+0.001\left|L_{uckGrade}-405\right|,406 \le L_{uckGrade}<407:1.725+0\left|L_{uckGrade}-406\right|,407 \le L_{uckGrade}<408:1.725+0.001\left|L_{uckGrade}-407\right|,408 \le L_{uckGrade}<409:1.726+0\left|L_{uckGrade}-408\right|,409 \le L_{uckGrade}<410:1.726+0.001\left|L_{uckGrade}-409\right|,410 \le L_{uckGrade}<411:1.727+0\left|L_{uckGrade}-410\right|,411 \le L_{uckGrade}<413:1.727+0.001\left|L_{uckGrade}-411\right|,413 \le L_{uckGrade}<414:1.729+0\left|L_{uckGrade}-413\right|,414 \le L_{uckGrade}<415:1.729+0.001\left|L_{uckGrade}-414\right|,415 \le L_{uckGrade}<416:1.73+0\left|L_{uckGrade}-415\right|,416 \le L_{uckGrade}<417:1.73+0.001\left|L_{uckGrade}-416\right|,417 \le L_{uckGrade}<418:1.731+0\left|L_{uckGrade}-417\right|,418 \le L_{uckGrade}<419:1.731+0.001\left|L_{uckGrade}-418\right|,419 \le L_{uckGrade}<420:1.732+0\left|L_{uckGrade}-419\right|,420 \le L_{uckGrade}<421:1.732+0.001\left|L_{uckGrade}-420\right|,421 \le L_{uckGrade}<423:1.733+0\left|L_{uckGrade}-421\right|,423 \le L_{uckGrade}<424:1.733+0.001\left|L_{uckGrade}-423\right|,424 \le L_{uckGrade}<425:1.734+0\left|L_{uckGrade}-424\right|,425 \le L_{uckGrade}<426:1.734+0.001\left|L_{uckGrade}-425\right|,426 \le L_{uckGrade}<427:1.735+0\left|L_{uckGrade}-426\right|,427 \le L_{uckGrade}<428:1.735+0.001\left|L_{uckGrade}-427\right|,428 \le L_{uckGrade}<429:1.736+0\left|L_{uckGrade}-428\right|,429 \le L_{uckGrade}<430:1.736+0.001\left|L_{uckGrade}-429\right|,430 \le L_{uckGrade}<432:1.737+0\left|L_{uckGrade}-430\right|,432 \le L_{uckGrade}<433:1.737+0.001\left|L_{uckGrade}-432\right|,433 \le L_{uckGrade}<434:1.738+0\left|L_{uckGrade}-433\right|,434 \le L_{uckGrade}<435:1.738+0.001\left|L_{uckGrade}-434\right|,435 \le L_{uckGrade}<437:1.739+0\left|L_{uckGrade}-435\right|,437 \le L_{uckGrade}<438:1.739+0.001\left|L_{uckGrade}-437\right|,438 \le L_{uckGrade}<439:1.74+0\left|L_{uckGrade}-438\right|,439 \le L_{uckGrade}<440:1.74+0.001\left|L_{uckGrade}-439\right|,440 \le L_{uckGrade}<442:1.741+0\left|L_{uckGrade}-440\right|,442 \le L_{uckGrade}<443:1.741+0.001\left|L_{uckGrade}-442\right|,443 \le L_{uckGrade}<445:1.742+0\left|L_{uckGrade}-443\right|,445 \le L_{uckGrade}<446:1.742+0.001\left|L_{uckGrade}-445\right|,446 \le L_{uckGrade}<448:1.743+0\left|L_{uckGrade}-446\right|,448 \le L_{uckGrade}<449:1.743+0.001\left|L_{uckGrade}-448\right|,449 \le L_{uckGrade}<452:1.744+0\left|L_{uckGrade}-449\right|,452 \le L_{uckGrade}<453:1.744+0.001\left|L_{uckGrade}-452\right|,453 \le L_{uckGrade}<455:1.745+0\left|L_{uckGrade}-453\right|,455 \le L_{uckGrade}<456:1.745+0.001\left|L_{uckGrade}-455\right|,456 \le L_{uckGrade}<459:1.746+0\left|L_{uckGrade}-456\right|,459 \le L_{uckGrade}<460:1.746+0.001\left|L_{uckGrade}-459\right|,460 \le L_{uckGrade}<463:1.747+0\left|L_{uckGrade}-460\right|,463 \le L_{uckGrade}<464:1.747+0.001\left|L_{uckGrade}-463\right|,464 \le L_{uckGrade}<468:1.748+0\left|L_{uckGrade}-464\right|,468 \le L_{uckGrade}<469:1.748+0.001\left|L_{uckGrade}-468\right|,469 \le L_{uckGrade}<474:1.749+0\left|L_{uckGrade}-469\right|,474 \le L_{uckGrade}<475:1.749+0.001\left|L_{uckGrade}-474\right|,475 \le L_{uckGrade}<482:1.75+0\left|L_{uckGrade}-475\right|,482 \le L_{uckGrade}<483:1.75+0.001\left|L_{uckGrade}-482\right|,483 \le L_{uckGrade}<499:1.751+0\left|L_{uckGrade}-483\right|,499 \le L_{uckGrade}<500:1.751+0.001\left|L_{uckGrade}-499\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}<1:1+0.006\left|L_{uckGrade}-0\right|,1 \le L_{uckGrade}<2:1.006+0.007\left|L_{uckGrade}-1\right|,2 \le L_{uckGrade}<5:1.013+0.006\left|L_{uckGrade}-2\right|,5 \le L_{uckGrade}<6:1.031+0.007\left|L_{uckGrade}-5\right|,6 \le L_{uckGrade}<9:1.038+0.006\left|L_{uckGrade}-6\right|,9 \le L_{uckGrade}<10:1.056+0.007\left|L_{uckGrade}-9\right|,10 \le L_{uckGrade}<14:1.063+0.006\left|L_{uckGrade}-10\right|,14 \le L_{uckGrade}<15:1.087+0.007\left|L_{uckGrade}-14\right|,15 \le L_{uckGrade}<37:1.094+0.006\left|L_{uckGrade}-15\right|,37 \le L_{uckGrade}<38:1.226+0.005\left|L_{uckGrade}-37\right|,38 \le L_{uckGrade}<43:1.231+0.006\left|L_{uckGrade}-38\right|,43 \le L_{uckGrade}<44:1.261+0.005\left|L_{uckGrade}-43\right|,44 \le L_{uckGrade}<47:1.266+0.006\left|L_{uckGrade}-44\right|,47 \le L_{uckGrade}<48:1.284+0.005\left|L_{uckGrade}-47\right|,48 \le L_{uckGrade}<50:1.289+0.006\left|L_{uckGrade}-48\right|,50 \le L_{uckGrade}<51:1.301+0.005\left|L_{uckGrade}-50\right|,51 \le L_{uckGrade}<53:1.306+0.006\left|L_{uckGrade}-51\right|,53 \le L_{uckGrade}<54:1.318+0.005\left|L_{uckGrade}-53\right|,54 \le L_{uckGrade}<56:1.323+0.006\left|L_{uckGrade}-54\right|,56 \le L_{uckGrade}<57:1.335+0.005\left|L_{uckGrade}-56\right|,57 \le L_{uckGrade}<59:1.34+0.006\left|L_{uckGrade}-57\right|,59 \le L_{uckGrade}<60:1.352+0.005\left|L_{uckGrade}-59\right|,60 \le L_{uckGrade}<61:1.357+0.006\left|L_{uckGrade}-60\right|,61 \le L_{uckGrade}<62:1.363+0.005\left|L_{uckGrade}-61\right|,62 \le L_{uckGrade}<63:1.368+0.006\left|L_{uckGrade}-62\right|,63 \le L_{uckGrade}<64:1.374+0.005\left|L_{uckGrade}-63\right|,64 \le L_{uckGrade}<65:1.379+0.006\left|L_{uckGrade}-64\right|,65 \le L_{uckGrade}<66:1.385+0.005\left|L_{uckGrade}-65\right|,66 \le L_{uckGrade}<67:1.39+0.006\left|L_{uckGrade}-66\right|,67 \le L_{uckGrade}<68:1.396+0.005\left|L_{uckGrade}-67\right|,68 \le L_{uckGrade}<69:1.401+0.006\left|L_{uckGrade}-68\right|,69 \le L_{uckGrade}<70:1.407+0.005\left|L_{uckGrade}-69\right|,70 \le L_{uckGrade}<71:1.412+0.006\left|L_{uckGrade}-70\right|,71 \le L_{uckGrade}<73:1.418+0.005\left|L_{uckGrade}-71\right|,73 \le L_{uckGrade}<74:1.428+0.006\left|L_{uckGrade}-73\right|,74 \le L_{uckGrade}<75:1.434+0.005\left|L_{uckGrade}-74\right|,75 \le L_{uckGrade}<76:1.439+0.006\left|L_{uckGrade}-75\right|,76 \le L_{uckGrade}<78:1.445+0.005\left|L_{uckGrade}-76\right|,78 \le L_{uckGrade}<79:1.455+0.006\left|L_{uckGrade}-78\right|,79 \le L_{uckGrade}<81:1.461+0.005\left|L_{uckGrade}-79\right|,81 \le L_{uckGrade}<82:1.471+0.006\left|L_{uckGrade}-81\right|,82 \le L_{uckGrade}<85:1.477+0.005\left|L_{uckGrade}-82\right|,85 \le L_{uckGrade}<86:1.492+0.006\left|L_{uckGrade}-85\right|,86 \le L_{uckGrade}<89:1.498+0.005\left|L_{uckGrade}-86\right|,89 \le L_{uckGrade}<90:1.513+0.006\left|L_{uckGrade}-89\right|,90 \le L_{uckGrade}<95:1.519+0.005\left|L_{uckGrade}-90\right|,95 \le L_{uckGrade}<96:1.544+0.006\left|L_{uckGrade}-95\right|,96 \le L_{uckGrade}<114:1.55+0.005\left|L_{uckGrade}-96\right|,114 \le L_{uckGrade}<115:1.64+0.004\left|L_{uckGrade}-114\right|,115 \le L_{uckGrade}<120:1.644+0.005\left|L_{uckGrade}-115\right|,120 \le L_{uckGrade}<121:1.669+0.004\left|L_{uckGrade}-120\right|,121 \le L_{uckGrade}<125:1.673+0.005\left|L_{uckGrade}-121\right|,125 \le L_{uckGrade}<126:1.693+0.004\left|L_{uckGrade}-125\right|,126 \le L_{uckGrade}<128:1.697+0.005\left|L_{uckGrade}-126\right|,128 \le L_{uckGrade}<129:1.707+0.004\left|L_{uckGrade}-128\right|,129 \le L_{uckGrade}<132:1.711+0.005\left|L_{uckGrade}-129\right|,132 \le L_{uckGrade}<133:1.726+0.004\left|L_{uckGrade}-132\right|,133 \le L_{uckGrade}<134:1.73+0.005\left|L_{uckGrade}-133\right|,134 \le L_{uckGrade}<135:1.735+0.004\left|L_{uckGrade}-134\right|,135 \le L_{uckGrade}<137:1.739+0.005\left|L_{uckGrade}-135\right|,137 \le L_{uckGrade}<138:1.749+0.004\left|L_{uckGrade}-137\right|,138 \le L_{uckGrade}<139:1.753+0.005\left|L_{uckGrade}-138\right|,139 \le L_{uckGrade}<140:1.758+0.004\left|L_{uckGrade}-139\right|,140 \le L_{uckGrade}<142:1.762+0.005\left|L_{uckGrade}-140\right|,142 \le L_{uckGrade}<143:1.772+0.004\left|L_{uckGrade}-142\right|,143 \le L_{uckGrade}<144:1.776+0.005\left|L_{uckGrade}-143\right|,144 \le L_{uckGrade}<145:1.781+0.004\left|L_{uckGrade}-144\right|,145 \le L_{uckGrade}<146:1.785+0.005\left|L_{uckGrade}-145\right|,146 \le L_{uckGrade}<148:1.79+0.004\left|L_{uckGrade}-146\right|,148 \le L_{uckGrade}<149:1.798+0.005\left|L_{uckGrade}-148\right|,149 \le L_{uckGrade}<150:1.803+0.004\left|L_{uckGrade}-149\right|,150 \le L_{uckGrade}<151:1.807+0.005\left|L_{uckGrade}-150\right|,151 \le L_{uckGrade}<152:1.812+0.004\left|L_{uckGrade}-151\right|,152 \le L_{uckGrade}<153:1.816+0.005\left|L_{uckGrade}-152\right|,153 \le L_{uckGrade}<155:1.821+0.004\left|L_{uckGrade}-153\right|,155 \le L_{uckGrade}<156:1.829+0.005\left|L_{uckGrade}-155\right|,156 \le L_{uckGrade}<158:1.834+0.004\left|L_{uckGrade}-156\right|,158 \le L_{uckGrade}<159:1.842+0.005\left|L_{uckGrade}-158\right|,159 \le L_{uckGrade}<161:1.847+0.004\left|L_{uckGrade}-159\right|,161 \le L_{uckGrade}<162:1.855+0.005\left|L_{uckGrade}-161\right|,162 \le L_{uckGrade}<165:1.86+0.004\left|L_{uckGrade}-162\right|,165 \le L_{uckGrade}<166:1.872+0.005\left|L_{uckGrade}-165\right|,166 \le L_{uckGrade}<169:1.877+0.004\left|L_{uckGrade}-166\right|,169 \le L_{uckGrade}<170:1.889+0.005\left|L_{uckGrade}-169\right|,170 \le L_{uckGrade}<177:1.894+0.004\left|L_{uckGrade}-170\right|,177 \le L_{uckGrade}<178:1.922+0.005\left|L_{uckGrade}-177\right|,178 \le L_{uckGrade}<191:1.927+0.004\left|L_{uckGrade}-178\right|,191 \le L_{uckGrade}<192:1.979+0.003\left|L_{uckGrade}-191\right|,192 \le L_{uckGrade}<198:1.982+0.004\left|L_{uckGrade}-192\right|,198 \le L_{uckGrade}<199:2.006+0.003\left|L_{uckGrade}-198\right|,199 \le L_{uckGrade}<203:2.009+0.004\left|L_{uckGrade}-199\right|,203 \le L_{uckGrade}<204:2.025+0.003\left|L_{uckGrade}-203\right|,204 \le L_{uckGrade}<207:2.028+0.004\left|L_{uckGrade}-204\right|,207 \le L_{uckGrade}<208:2.04+0.003\left|L_{uckGrade}-207\right|,208 \le L_{uckGrade}<210:2.043+0.004\left|L_{uckGrade}-208\right|,210 \le L_{uckGrade}<211:2.051+0.003\left|L_{uckGrade}-210\right|,211 \le L_{uckGrade}<213:2.054+0.004\left|L_{uckGrade}-211\right|,213 \le L_{uckGrade}<214:2.062+0.003\left|L_{uckGrade}-213\right|,214 \le L_{uckGrade}<215:2.065+0.004\left|L_{uckGrade}-214\right|,215 \le L_{uckGrade}<216:2.069+0.003\left|L_{uckGrade}-215\right|,216 \le L_{uckGrade}<218:2.072+0.004\left|L_{uckGrade}-216\right|,218 \le L_{uckGrade}<219:2.08+0.003\left|L_{uckGrade}-218\right|,219 \le L_{uckGrade}<220:2.083+0.004\left|L_{uckGrade}-219\right|,220 \le L_{uckGrade}<221:2.087+0.003\left|L_{uckGrade}-220\right|,221 \le L_{uckGrade}<222:2.09+0.004\left|L_{uckGrade}-221\right|,222 \le L_{uckGrade}<223:2.094+0.003\left|L_{uckGrade}-222\right|,223 \le L_{uckGrade}<224:2.097+0.004\left|L_{uckGrade}-223\right|,224 \le L_{uckGrade}<225:2.101+0.003\left|L_{uckGrade}-224\right|,225 \le L_{uckGrade}<226:2.104+0.004\left|L_{uckGrade}-225\right|,226 \le L_{uckGrade}<227:2.108+0.003\left|L_{uckGrade}-226\right|,227 \le L_{uckGrade}<228:2.111+0.004\left|L_{uckGrade}-227\right|,228 \le L_{uckGrade}<229:2.115+0.003\left|L_{uckGrade}-228\right|,229 \le L_{uckGrade}<230:2.118+0.004\left|L_{uckGrade}-229\right|,230 \le L_{uckGrade}<232:2.122+0.003\left|L_{uckGrade}-230\right|,232 \le L_{uckGrade}<233:2.128+0.004\left|L_{uckGrade}-232\right|,233 \le L_{uckGrade}<234:2.132+0.003\left|L_{uckGrade}-233\right|,234 \le L_{uckGrade}<235:2.135+0.004\left|L_{uckGrade}-234\right|,235 \le L_{uckGrade}<237:2.139+0.003\left|L_{uckGrade}-235\right|,237 \le L_{uckGrade}<238:2.145+0.004\left|L_{uckGrade}-237\right|,238 \le L_{uckGrade}<241:2.149+0.003\left|L_{uckGrade}-238\right|,241 \le L_{uckGrade}<242:2.158+0.004\left|L_{uckGrade}-241\right|,242 \le L_{uckGrade}<244:2.162+0.003\left|L_{uckGrade}-242\right|,244 \le L_{uckGrade}<245:2.168+0.004\left|L_{uckGrade}-244\right|,245 \le L_{uckGrade}<249:2.172+0.003\left|L_{uckGrade}-245\right|,249 \le L_{uckGrade}<250:2.184+0.004\left|L_{uckGrade}-249\right|,250 \le L_{uckGrade}<258:2.188+0.003\left|L_{uckGrade}-250\right|,258 \le L_{uckGrade}<259:2.212+0.004\left|L_{uckGrade}-258\right|,259 \le L_{uckGrade}<268:2.216+0.003\left|L_{uckGrade}-259\right|,268 \le L_{uckGrade}<269:2.243+0.002\left|L_{uckGrade}-268\right|,269 \le L_{uckGrade}<276:2.245+0.003\left|L_{uckGrade}-269\right|,276 \le L_{uckGrade}<277:2.266+0.002\left|L_{uckGrade}-276\right|,277 \le L_{uckGrade}<281:2.268+0.003\left|L_{uckGrade}-277\right|,281 \le L_{uckGrade}<282:2.28+0.002\left|L_{uckGrade}-281\right|,282 \le L_{uckGrade}<285:2.282+0.003\left|L_{uckGrade}-282\right|,285 \le L_{uckGrade}<286:2.291+0.002\left|L_{uckGrade}-285\right|,286 \le L_{uckGrade}<288:2.293+0.003\left|L_{uckGrade}-286\right|,288 \le L_{uckGrade}<289:2.299+0.002\left|L_{uckGrade}-288\right|,289 \le L_{uckGrade}<291:2.301+0.003\left|L_{uckGrade}-289\right|,291 \le L_{uckGrade}<292:2.307+0.002\left|L_{uckGrade}-291\right|,292 \le L_{uckGrade}<294:2.309+0.003\left|L_{uckGrade}-292\right|,294 \le L_{uckGrade}<295:2.315+0.002\left|L_{uckGrade}-294\right|,295 \le L_{uckGrade}<296:2.317+0.003\left|L_{uckGrade}-295\right|,296 \le L_{uckGrade}<297:2.32+0.002\left|L_{uckGrade}-296\right|,297 \le L_{uckGrade}<299:2.322+0.003\left|L_{uckGrade}-297\right|,299 \le L_{uckGrade}<300:2.328+0.002\left|L_{uckGrade}-299\right|,300 \le L_{uckGrade}<301:2.33+0.003\left|L_{uckGrade}-300\right|,301 \le L_{uckGrade}<302:2.333+0.002\left|L_{uckGrade}-301\right|,302 \le L_{uckGrade}<303:2.335+0.003\left|L_{uckGrade}-302\right|,303 \le L_{uckGrade}<304:2.338+0.002\left|L_{uckGrade}-303\right|,304 \le L_{uckGrade}<305:2.34+0.003\left|L_{uckGrade}-304\right|,305 \le L_{uckGrade}<306:2.343+0.002\left|L_{uckGrade}-305\right|,306 \le L_{uckGrade}<307:2.345+0.003\left|L_{uckGrade}-306\right|,307 \le L_{uckGrade}<309:2.348+0.002\left|L_{uckGrade}-307\right|,309 \le L_{uckGrade}<310:2.352+0.003\left|L_{uckGrade}-309\right|,310 \le L_{uckGrade}<311:2.355+0.002\left|L_{uckGrade}-310\right|,311 \le L_{uckGrade}<312:2.357+0.003\left|L_{uckGrade}-311\right|,312 \le L_{uckGrade}<314:2.36+0.002\left|L_{uckGrade}-312\right|,314 \le L_{uckGrade}<315:2.364+0.003\left|L_{uckGrade}-314\right|,315 \le L_{uckGrade}<317:2.367+0.002\left|L_{uckGrade}-315\right|,317 \le L_{uckGrade}<318:2.371+0.003\left|L_{uckGrade}-317\right|,318 \le L_{uckGrade}<320:2.374+0.002\left|L_{uckGrade}-318\right|,320 \le L_{uckGrade}<321:2.378+0.003\left|L_{uckGrade}-320\right|,321 \le L_{uckGrade}<324:2.381+0.002\left|L_{uckGrade}-321\right|,324 \le L_{uckGrade}<325:2.387+0.003\left|L_{uckGrade}-324\right|,325 \le L_{uckGrade}<329:2.39+0.002\left|L_{uckGrade}-325\right|,329 \le L_{uckGrade}<330:2.398+0.003\left|L_{uckGrade}-329\right|,330 \le L_{uckGrade}<340:2.401+0.002\left|L_{uckGrade}-330\right|,340 \le L_{uckGrade}<341:2.421+0.003\left|L_{uckGrade}-340\right|,341 \le L_{uckGrade}<344:2.424+0.002\left|L_{uckGrade}-341\right|,344 \le L_{uckGrade}<345:2.43+0.001\left|L_{uckGrade}-344\right|,345 \le L_{uckGrade}<355:2.431+0.002\left|L_{uckGrade}-345\right|,355 \le L_{uckGrade}<356:2.451+0.001\left|L_{uckGrade}-355\right|,356 \le L_{uckGrade}<360:2.452+0.002\left|L_{uckGrade}-356\right|,360 \le L_{uckGrade}<361:2.46+0.001\left|L_{uckGrade}-360\right|,361 \le L_{uckGrade}<364:2.461+0.002\left|L_{uckGrade}-361\right|,364 \le L_{uckGrade}<365:2.467+0.001\left|L_{uckGrade}-364\right|,365 \le L_{uckGrade}<367:2.468+0.002\left|L_{uckGrade}-365\right|,367 \le L_{uckGrade}<368:2.472+0.001\left|L_{uckGrade}-367\right|,368 \le L_{uckGrade}<370:2.473+0.002\left|L_{uckGrade}-368\right|,370 \le L_{uckGrade}<371:2.477+0.001\left|L_{uckGrade}-370\right|,371 \le L_{uckGrade}<373:2.478+0.002\left|L_{uckGrade}-371\right|,373 \le L_{uckGrade}<374:2.482+0.001\left|L_{uckGrade}-373\right|,374 \le L_{uckGrade}<375:2.483+0.002\left|L_{uckGrade}-374\right|,375 \le L_{uckGrade}<376:2.485+0.001\left|L_{uckGrade}-375\right|,376 \le L_{uckGrade}<377:2.486+0.002\left|L_{uckGrade}-376\right|,377 \le L_{uckGrade}<378:2.488+0.001\left|L_{uckGrade}-377\right|,378 \le L_{uckGrade}<380:2.489+0.002\left|L_{uckGrade}-378\right|,380 \le L_{uckGrade}<381:2.493+0.001\left|L_{uckGrade}-380\right|,381 \le L_{uckGrade}<382:2.494+0.002\left|L_{uckGrade}-381\right|,382 \le L_{uckGrade}<383:2.496+0.001\left|L_{uckGrade}-382\right|,383 \le L_{uckGrade}<384:2.497+0.002\left|L_{uckGrade}-383\right|,384 \le L_{uckGrade}<386:2.499+0.001\left|L_{uckGrade}-384\right|,386 \le L_{uckGrade}<387:2.501+0.002\left|L_{uckGrade}-386\right|,387 \le L_{uckGrade}<388:2.503+0.001\left|L_{uckGrade}-387\right|,388 \le L_{uckGrade}<389:2.504+0.002\left|L_{uckGrade}-388\right|,389 \le L_{uckGrade}<390:2.506+0.001\left|L_{uckGrade}-389\right|,390 \le L_{uckGrade}<391:2.507+0.002\left|L_{uckGrade}-390\right|,391 \le L_{uckGrade}<393:2.509+0.001\left|L_{uckGrade}-391\right|,393 \le L_{uckGrade}<394:2.511+0.002\left|L_{uckGrade}-393\right|,394 \le L_{uckGrade}<396:2.513+0.001\left|L_{uckGrade}-394\right|,396 \le L_{uckGrade}<397:2.515+0.002\left|L_{uckGrade}-396\right|,397 \le L_{uckGrade}<399:2.517+0.001\left|L_{uckGrade}-397\right|,399 \le L_{uckGrade}<400:2.519+0.002\left|L_{uckGrade}-399\right|,400 \le L_{uckGrade}<403:2.521+0.001\left|L_{uckGrade}-400\right|,403 \le L_{uckGrade}<404:2.524+0.002\left|L_{uckGrade}-403\right|,404 \le L_{uckGrade}<409:2.526+0.001\left|L_{uckGrade}-404\right|,409 \le L_{uckGrade}<410:2.531+0.002\left|L_{uckGrade}-409\right|,410 \le L_{uckGrade}<433:2.533+0.001\left|L_{uckGrade}-410\right|,433 \le L_{uckGrade}<434:2.556+0\left|L_{uckGrade}-433\right|,434 \le L_{uckGrade}<438:2.556+0.001\left|L_{uckGrade}-434\right|,438 \le L_{uckGrade}<439:2.56+0\left|L_{uckGrade}-438\right|,439 \le L_{uckGrade}<443:2.56+0.001\left|L_{uckGrade}-439\right|,443 \le L_{uckGrade}<444:2.564+0\left|L_{uckGrade}-443\right|,444 \le L_{uckGrade}<446:2.564+0.001\left|L_{uckGrade}-444\right|,446 \le L_{uckGrade}<447:2.566+0\left|L_{uckGrade}-446\right|,447 \le L_{uckGrade}<449:2.566+0.001\left|L_{uckGrade}-447\right|,449 \le L_{uckGrade}<450:2.568+0\left|L_{uckGrade}-449\right|,450 \le L_{uckGrade}<452:2.568+0.001\left|L_{uckGrade}-450\right|,452 \le L_{uckGrade}<453:2.57+0\left|L_{uckGrade}-452\right|,453 \le L_{uckGrade}<454:2.57+0.001\left|L_{uckGrade}-453\right|,454 \le L_{uckGrade}<455:2.571+0\left|L_{uckGrade}-454\right|,455 \le L_{uckGrade}<456:2.571+0.001\left|L_{uckGrade}-455\right|,456 \le L_{uckGrade}<457:2.572+0\left|L_{uckGrade}-456\right|,457 \le L_{uckGrade}<459:2.572+0.001\left|L_{uckGrade}-457\right|,459 \le L_{uckGrade}<460:2.574+0\left|L_{uckGrade}-459\right|,460 \le L_{uckGrade}<461:2.574+0.001\left|L_{uckGrade}-460\right|,461 \le L_{uckGrade}<462:2.575+0\left|L_{uckGrade}-461\right|,462 \le L_{uckGrade}<463:2.575+0.001\left|L_{uckGrade}-462\right|,463 \le L_{uckGrade}<465:2.576+0\left|L_{uckGrade}-463\right|,465 \le L_{uckGrade}<466:2.576+0.001\left|L_{uckGrade}-465\right|,466 \le L_{uckGrade}<467:2.577+0\left|L_{uckGrade}-466\right|,467 \le L_{uckGrade}<468:2.577+0.001\left|L_{uckGrade}-467\right|,468 \le L_{uckGrade}<469:2.578+0\left|L_{uckGrade}-468\right|,469 \le L_{uckGrade}<470:2.578+0.001\left|L_{uckGrade}-469\right|,470 \le L_{uckGrade}<472:2.579+0\left|L_{uckGrade}-470\right|,472 \le L_{uckGrade}<473:2.579+0.001\left|L_{uckGrade}-472\right|,473 \le L_{uckGrade}<475:2.58+0\left|L_{uckGrade}-473\right|,475 \le L_{uckGrade}<476:2.58+0.001\left|L_{uckGrade}-475\right|,476 \le L_{uckGrade}<479:2.581+0\left|L_{uckGrade}-476\right|,479 \le L_{uckGrade}<480:2.581+0.001\left|L_{uckGrade}-479\right|,480 \le L_{uckGrade}<483:2.582+0\left|L_{uckGrade}-480\right|,483 \le L_{uckGrade}<484:2.582+0.001\left|L_{uckGrade}-483\right|,484 \le L_{uckGrade}<488:2.583+0\left|L_{uckGrade}-484\right|,488 \le L_{uckGrade}<489:2.583+0.001\left|L_{uckGrade}-488\right|,489 \le L_{uckGrade}<500:2.584+0\left|L_{uckGrade}-489\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}<15:1+0.009\left|L_{uckGrade}-0\right|,15 \le L_{uckGrade}<16:1.135+0.008\left|L_{uckGrade}-15\right|,16 \le L_{uckGrade}<20:1.143+0.009\left|L_{uckGrade}-16\right|,20 \le L_{uckGrade}<21:1.179+0.008\left|L_{uckGrade}-20\right|,21 \le L_{uckGrade}<23:1.187+0.009\left|L_{uckGrade}-21\right|,23 \le L_{uckGrade}<24:1.205+0.008\left|L_{uckGrade}-23\right|,24 \le L_{uckGrade}<26:1.213+0.009\left|L_{uckGrade}-24\right|,26 \le L_{uckGrade}<27:1.231+0.008\left|L_{uckGrade}-26\right|,27 \le L_{uckGrade}<29:1.239+0.009\left|L_{uckGrade}-27\right|,29 \le L_{uckGrade}<30:1.257+0.008\left|L_{uckGrade}-29\right|,30 \le L_{uckGrade}<31:1.265+0.009\left|L_{uckGrade}-30\right|,31 \le L_{uckGrade}<32:1.274+0.008\left|L_{uckGrade}-31\right|,32 \le L_{uckGrade}<33:1.282+0.009\left|L_{uckGrade}-32\right|,33 \le L_{uckGrade}<34:1.291+0.008\left|L_{uckGrade}-33\right|,34 \le L_{uckGrade}<35:1.299+0.009\left|L_{uckGrade}-34\right|,35 \le L_{uckGrade}<36:1.308+0.008\left|L_{uckGrade}-35\right|,36 \le L_{uckGrade}<37:1.316+0.009\left|L_{uckGrade}-36\right|,37 \le L_{uckGrade}<39:1.325+0.008\left|L_{uckGrade}-37\right|,39 \le L_{uckGrade}<40:1.341+0.009\left|L_{uckGrade}-39\right|,40 \le L_{uckGrade}<41:1.35+0.008\left|L_{uckGrade}-40\right|,41 \le L_{uckGrade}<42:1.358+0.009\left|L_{uckGrade}-41\right|,42 \le L_{uckGrade}<45:1.367+0.008\left|L_{uckGrade}-42\right|,45 \le L_{uckGrade}<46:1.391+0.009\left|L_{uckGrade}-45\right|,46 \le L_{uckGrade}<49:1.4+0.008\left|L_{uckGrade}-46\right|,49 \le L_{uckGrade}<50:1.424+0.009\left|L_{uckGrade}-49\right|,50 \le L_{uckGrade}<55:1.433+0.008\left|L_{uckGrade}-50\right|,55 \le L_{uckGrade}<56:1.473+0.009\left|L_{uckGrade}-55\right|,56 \le L_{uckGrade}<66:1.482+0.008\left|L_{uckGrade}-56\right|,66 \le L_{uckGrade}<67:1.562+0.007\left|L_{uckGrade}-66\right|,67 \le L_{uckGrade}<72:1.569+0.008\left|L_{uckGrade}-67\right|,72 \le L_{uckGrade}<73:1.609+0.007\left|L_{uckGrade}-72\right|,73 \le L_{uckGrade}<76:1.616+0.008\left|L_{uckGrade}-73\right|,76 \le L_{uckGrade}<77:1.64+0.007\left|L_{uckGrade}-76\right|,77 \le L_{uckGrade}<79:1.647+0.008\left|L_{uckGrade}-77\right|,79 \le L_{uckGrade}<80:1.663+0.007\left|L_{uckGrade}-79\right|,80 \le L_{uckGrade}<82:1.67+0.008\left|L_{uckGrade}-80\right|,82 \le L_{uckGrade}<83:1.686+0.007\left|L_{uckGrade}-82\right|,83 \le L_{uckGrade}<85:1.693+0.008\left|L_{uckGrade}-83\right|,85 \le L_{uckGrade}<86:1.709+0.007\left|L_{uckGrade}-85\right|,86 \le L_{uckGrade}<87:1.716+0.008\left|L_{uckGrade}-86\right|,87 \le L_{uckGrade}<88:1.724+0.007\left|L_{uckGrade}-87\right|,88 \le L_{uckGrade}<89:1.731+0.008\left|L_{uckGrade}-88\right|,89 \le L_{uckGrade}<90:1.739+0.007\left|L_{uckGrade}-89\right|,90 \le L_{uckGrade}<91:1.746+0.008\left|L_{uckGrade}-90\right|,91 \le L_{uckGrade}<93:1.754+0.007\left|L_{uckGrade}-91\right|,93 \le L_{uckGrade}<94:1.768+0.008\left|L_{uckGrade}-93\right|,94 \le L_{uckGrade}<95:1.776+0.007\left|L_{uckGrade}-94\right|,95 \le L_{uckGrade}<96:1.783+0.008\left|L_{uckGrade}-95\right|,96 \le L_{uckGrade}<98:1.791+0.007\left|L_{uckGrade}-96\right|,98 \le L_{uckGrade}<99:1.805+0.008\left|L_{uckGrade}-98\right|,99 \le L_{uckGrade}<102:1.813+0.007\left|L_{uckGrade}-99\right|,102 \le L_{uckGrade}<103:1.834+0.008\left|L_{uckGrade}-102\right|,103 \le L_{uckGrade}<107:1.842+0.007\left|L_{uckGrade}-103\right|,107 \le L_{uckGrade}<108:1.87+0.008\left|L_{uckGrade}-107\right|,108 \le L_{uckGrade}<124:1.878+0.007\left|L_{uckGrade}-108\right|,124 \le L_{uckGrade}<125:1.99+0.006\left|L_{uckGrade}-124\right|,125 \le L_{uckGrade}<129:1.996+0.007\left|L_{uckGrade}-125\right|,129 \le L_{uckGrade}<130:2.024+0.006\left|L_{uckGrade}-129\right|,130 \le L_{uckGrade}<133:2.03+0.007\left|L_{uckGrade}-130\right|,133 \le L_{uckGrade}<134:2.051+0.006\left|L_{uckGrade}-133\right|,134 \le L_{uckGrade}<136:2.057+0.007\left|L_{uckGrade}-134\right|,136 \le L_{uckGrade}<137:2.071+0.006\left|L_{uckGrade}-136\right|,137 \le L_{uckGrade}<138:2.077+0.007\left|L_{uckGrade}-137\right|,138 \le L_{uckGrade}<139:2.084+0.006\left|L_{uckGrade}-138\right|,139 \le L_{uckGrade}<140:2.09+0.007\left|L_{uckGrade}-139\right|,140 \le L_{uckGrade}<141:2.097+0.006\left|L_{uckGrade}-140\right|,141 \le L_{uckGrade}<143:2.103+0.007\left|L_{uckGrade}-141\right|,143 \le L_{uckGrade}<145:2.117+0.006\left|L_{uckGrade}-143\right|,145 \le L_{uckGrade}<146:2.129+0.007\left|L_{uckGrade}-145\right|,146 \le L_{uckGrade}<147:2.136+0.006\left|L_{uckGrade}-146\right|,147 \le L_{uckGrade}<148:2.142+0.007\left|L_{uckGrade}-147\right|,148 \le L_{uckGrade}<149:2.149+0.006\left|L_{uckGrade}-148\right|,149 \le L_{uckGrade}<150:2.155+0.007\left|L_{uckGrade}-149\right|,150 \le L_{uckGrade}<152:2.162+0.006\left|L_{uckGrade}-150\right|,152 \le L_{uckGrade}<153:2.174+0.007\left|L_{uckGrade}-152\right|,153 \le L_{uckGrade}<155:2.181+0.006\left|L_{uckGrade}-153\right|,155 \le L_{uckGrade}<156:2.193+0.007\left|L_{uckGrade}-155\right|,156 \le L_{uckGrade}<160:2.2+0.006\left|L_{uckGrade}-156\right|,160 \le L_{uckGrade}<161:2.224+0.007\left|L_{uckGrade}-160\right|,161 \le L_{uckGrade}<168:2.231+0.006\left|L_{uckGrade}-161\right|,168 \le L_{uckGrade}<169:2.273+0.007\left|L_{uckGrade}-168\right|,169 \le L_{uckGrade}<173:2.28+0.006\left|L_{uckGrade}-169\right|,173 \le L_{uckGrade}<174:2.304+0.005\left|L_{uckGrade}-173\right|,174 \le L_{uckGrade}<181:2.309+0.006\left|L_{uckGrade}-174\right|,181 \le L_{uckGrade}<182:2.351+0.005\left|L_{uckGrade}-181\right|,182 \le L_{uckGrade}<185:2.356+0.006\left|L_{uckGrade}-182\right|,185 \le L_{uckGrade}<186:2.374+0.005\left|L_{uckGrade}-185\right|,186 \le L_{uckGrade}<189:2.379+0.006\left|L_{uckGrade}-186\right|,189 \le L_{uckGrade}<190:2.397+0.005\left|L_{uckGrade}-189\right|,190 \le L_{uckGrade}<191:2.402+0.006\left|L_{uckGrade}-190\right|,191 \le L_{uckGrade}<192:2.408+0.005\left|L_{uckGrade}-191\right|,192 \le L_{uckGrade}<194:2.413+0.006\left|L_{uckGrade}-192\right|,194 \le L_{uckGrade}<195:2.425+0.005\left|L_{uckGrade}-194\right|,195 \le L_{uckGrade}<196:2.43+0.006\left|L_{uckGrade}-195\right|,196 \le L_{uckGrade}<197:2.436+0.005\left|L_{uckGrade}-196\right|,197 \le L_{uckGrade}<198:2.441+0.006\left|L_{uckGrade}-197\right|,198 \le L_{uckGrade}<199:2.447+0.005\left|L_{uckGrade}-198\right|,199 \le L_{uckGrade}<200:2.452+0.006\left|L_{uckGrade}-199\right|,200 \le L_{uckGrade}<201:2.458+0.005\left|L_{uckGrade}-200\right|,201 \le L_{uckGrade}<202:2.463+0.006\left|L_{uckGrade}-201\right|,202 \le L_{uckGrade}<203:2.469+0.005\left|L_{uckGrade}-202\right|,203 \le L_{uckGrade}<204:2.474+0.006\left|L_{uckGrade}-203\right|,204 \le L_{uckGrade}<206:2.48+0.005\left|L_{uckGrade}-204\right|,206 \le L_{uckGrade}<207:2.49+0.006\left|L_{uckGrade}-206\right|,207 \le L_{uckGrade}<209:2.496+0.005\left|L_{uckGrade}-207\right|,209 \le L_{uckGrade}<210:2.506+0.006\left|L_{uckGrade}-209\right|,210 \le L_{uckGrade}<213:2.512+0.005\left|L_{uckGrade}-210\right|,213 \le L_{uckGrade}<214:2.527+0.006\left|L_{uckGrade}-213\right|,214 \le L_{uckGrade}<219:2.533+0.005\left|L_{uckGrade}-214\right|,219 \le L_{uckGrade}<220:2.558+0.006\left|L_{uckGrade}-219\right|,220 \le L_{uckGrade}<232:2.564+0.005\left|L_{uckGrade}-220\right|,232 \le L_{uckGrade}<233:2.624+0.004\left|L_{uckGrade}-232\right|,233 \le L_{uckGrade}<238:2.628+0.005\left|L_{uckGrade}-233\right|,238 \le L_{uckGrade}<239:2.653+0.004\left|L_{uckGrade}-238\right|,239 \le L_{uckGrade}<241:2.657+0.005\left|L_{uckGrade}-239\right|,241 \le L_{uckGrade}<242:2.667+0.004\left|L_{uckGrade}-241\right|,242 \le L_{uckGrade}<245:2.671+0.005\left|L_{uckGrade}-242\right|,245 \le L_{uckGrade}<246:2.686+0.004\left|L_{uckGrade}-245\right|,246 \le L_{uckGrade}<247:2.69+0.005\left|L_{uckGrade}-246\right|,247 \le L_{uckGrade}<248:2.695+0.004\left|L_{uckGrade}-247\right|,248 \le L_{uckGrade}<250:2.699+0.005\left|L_{uckGrade}-248\right|,250 \le L_{uckGrade}<251:2.709+0.004\left|L_{uckGrade}-250\right|,251 \le L_{uckGrade}<252:2.713+0.005\left|L_{uckGrade}-251\right|,252 \le L_{uckGrade}<253:2.718+0.004\left|L_{uckGrade}-252\right|,253 \le L_{uckGrade}<254:2.722+0.005\left|L_{uckGrade}-253\right|,254 \le L_{uckGrade}<255:2.727+0.004\left|L_{uckGrade}-254\right|,255 \le L_{uckGrade}<256:2.731+0.005\left|L_{uckGrade}-255\right|,256 \le L_{uckGrade}<258:2.736+0.004\left|L_{uckGrade}-256\right|,258 \le L_{uckGrade}<259:2.744+0.005\left|L_{uckGrade}-258\right|,259 \le L_{uckGrade}<260:2.749+0.004\left|L_{uckGrade}-259\right|,260 \le L_{uckGrade}<261:2.753+0.005\left|L_{uckGrade}-260\right|,261 \le L_{uckGrade}<263:2.758+0.004\left|L_{uckGrade}-261\right|,263 \le L_{uckGrade}<264:2.766+0.005\left|L_{uckGrade}-263\right|,264 \le L_{uckGrade}<267:2.771+0.004\left|L_{uckGrade}-264\right|,267 \le L_{uckGrade}<268:2.783+0.005\left|L_{uckGrade}-267\right|,268 \le L_{uckGrade}<272:2.788+0.004\left|L_{uckGrade}-268\right|,272 \le L_{uckGrade}<273:2.804+0.005\left|L_{uckGrade}-272\right|,273 \le L_{uckGrade}<288:2.809+0.004\left|L_{uckGrade}-273\right|,288 \le L_{uckGrade}<289:2.869+0.003\left|L_{uckGrade}-288\right|,289 \le L_{uckGrade}<294:2.872+0.004\left|L_{uckGrade}-289\right|,294 \le L_{uckGrade}<295:2.892+0.003\left|L_{uckGrade}-294\right|,295 \le L_{uckGrade}<297:2.895+0.004\left|L_{uckGrade}-295\right|,297 \le L_{uckGrade}<298:2.903+0.003\left|L_{uckGrade}-297\right|,298 \le L_{uckGrade}<300:2.906+0.004\left|L_{uckGrade}-298\right|,300 \le L_{uckGrade}<301:2.914+0.003\left|L_{uckGrade}-300\right|,301 \le L_{uckGrade}<303:2.917+0.004\left|L_{uckGrade}-301\right|,303 \le L_{uckGrade}<304:2.925+0.003\left|L_{uckGrade}-303\right|,304 \le L_{uckGrade}<305:2.928+0.004\left|L_{uckGrade}-304\right|,305 \le L_{uckGrade}<306:2.932+0.003\left|L_{uckGrade}-305\right|,306 \le L_{uckGrade}<307:2.935+0.004\left|L_{uckGrade}-306\right|,307 \le L_{uckGrade}<308:2.939+0.003\left|L_{uckGrade}-307\right|,308 \le L_{uckGrade}<309:2.942+0.004\left|L_{uckGrade}-308\right|,309 \le L_{uckGrade}<310:2.946+0.003\left|L_{uckGrade}-309\right|,310 \le L_{uckGrade}<311:2.949+0.004\left|L_{uckGrade}-310\right|,311 \le L_{uckGrade}<312:2.953+0.003\left|L_{uckGrade}-311\right|,312 \le L_{uckGrade}<313:2.956+0.004\left|L_{uckGrade}-312\right|,313 \le L_{uckGrade}<315:2.96+0.003\left|L_{uckGrade}-313\right|,315 \le L_{uckGrade}<316:2.966+0.004\left|L_{uckGrade}-315\right|,316 \le L_{uckGrade}<318:2.97+0.003\left|L_{uckGrade}-316\right|,318 \le L_{uckGrade}<319:2.976+0.004\left|L_{uckGrade}-318\right|,319 \le L_{uckGrade}<321:2.98+0.003\left|L_{uckGrade}-319\right|,321 \le L_{uckGrade}<322:2.986+0.004\left|L_{uckGrade}-321\right|,322 \le L_{uckGrade}<326:2.99+0.003\left|L_{uckGrade}-322\right|,326 \le L_{uckGrade}<327:3.002+0.004\left|L_{uckGrade}-326\right|,327 \le L_{uckGrade}<345:3.006+0.003\left|L_{uckGrade}-327\right|,345 \le L_{uckGrade}<346:3.06+0.002\left|L_{uckGrade}-345\right|,346 \le L_{uckGrade}<349:3.062+0.003\left|L_{uckGrade}-346\right|,349 \le L_{uckGrade}<350:3.071+0.002\left|L_{uckGrade}-349\right|,350 \le L_{uckGrade}<353:3.073+0.003\left|L_{uckGrade}-350\right|,353 \le L_{uckGrade}<354:3.082+0.002\left|L_{uckGrade}-353\right|,354 \le L_{uckGrade}<356:3.084+0.003\left|L_{uckGrade}-354\right|,356 \le L_{uckGrade}<357:3.09+0.002\left|L_{uckGrade}-356\right|,357 \le L_{uckGrade}<358:3.092+0.003\left|L_{uckGrade}-357\right|,358 \le L_{uckGrade}<359:3.095+0.002\left|L_{uckGrade}-358\right|,359 \le L_{uckGrade}<360:3.097+0.003\left|L_{uckGrade}-359\right|,360 \le L_{uckGrade}<361:3.1+0.002\left|L_{uckGrade}-360\right|,361 \le L_{uckGrade}<363:3.102+0.003\left|L_{uckGrade}-361\right|,363 \le L_{uckGrade}<365:3.108+0.002\left|L_{uckGrade}-363\right|,365 \le L_{uckGrade}<366:3.112+0.003\left|L_{uckGrade}-365\right|,366 \le L_{uckGrade}<367:3.115+0.002\left|L_{uckGrade}-366\right|,367 \le L_{uckGrade}<368:3.117+0.003\left|L_{uckGrade}-367\right|,368 \le L_{uckGrade}<369:3.12+0.002\left|L_{uckGrade}-368\right|,369 \le L_{uckGrade}<370:3.122+0.003\left|L_{uckGrade}-369\right|,370 \le L_{uckGrade}<372:3.125+0.002\left|L_{uckGrade}-370\right|,372 \le L_{uckGrade}<373:3.129+0.003\left|L_{uckGrade}-372\right|,373 \le L_{uckGrade}<375:3.132+0.002\left|L_{uckGrade}-373\right|,375 \le L_{uckGrade}<376:3.136+0.003\left|L_{uckGrade}-375\right|,376 \le L_{uckGrade}<380:3.139+0.002\left|L_{uckGrade}-376\right|,380 \le L_{uckGrade}<381:3.147+0.003\left|L_{uckGrade}-380\right|,381 \le L_{uckGrade}<400:3.15+0.002\left|L_{uckGrade}-381\right|,400 \le L_{uckGrade}<401:3.188+0.001\left|L_{uckGrade}-400\right|,401 \le L_{uckGrade}<405:3.189+0.002\left|L_{uckGrade}-401\right|,405 \le L_{uckGrade}<406:3.197+0.001\left|L_{uckGrade}-405\right|,406 \le L_{uckGrade}<408:3.198+0.002\left|L_{uckGrade}-406\right|,408 \le L_{uckGrade}<409:3.202+0.001\left|L_{uckGrade}-408\right|,409 \le L_{uckGrade}<411:3.203+0.002\left|L_{uckGrade}-409\right|,411 \le L_{uckGrade}<412:3.207+0.001\left|L_{uckGrade}-411\right|,412 \le L_{uckGrade}<413:3.208+0.002\left|L_{uckGrade}-412\right|,413 \le L_{uckGrade}<414:3.21+0.001\left|L_{uckGrade}-413\right|,414 \le L_{uckGrade}<416:3.211+0.002\left|L_{uckGrade}-414\right|,416 \le L_{uckGrade}<417:3.215+0.001\left|L_{uckGrade}-416\right|,417 \le L_{uckGrade}<418:3.216+0.002\left|L_{uckGrade}-417\right|,418 \le L_{uckGrade}<419:3.218+0.001\left|L_{uckGrade}-418\right|,419 \le L_{uckGrade}<420:3.219+0.002\left|L_{uckGrade}-419\right|,420 \le L_{uckGrade}<422:3.221+0.001\left|L_{uckGrade}-420\right|,422 \le L_{uckGrade}<423:3.223+0.002\left|L_{uckGrade}-422\right|,423 \le L_{uckGrade}<424:3.225+0.001\left|L_{uckGrade}-423\right|,424 \le L_{uckGrade}<425:3.226+0.002\left|L_{uckGrade}-424\right|,425 \le L_{uckGrade}<427:3.228+0.001\left|L_{uckGrade}-425\right|,427 \le L_{uckGrade}<428:3.23+0.002\left|L_{uckGrade}-427\right|,428 \le L_{uckGrade}<430:3.232+0.001\left|L_{uckGrade}-428\right|,430 \le L_{uckGrade}<431:3.234+0.002\left|L_{uckGrade}-430\right|,431 \le L_{uckGrade}<434:3.236+0.001\left|L_{uckGrade}-431\right|,434 \le L_{uckGrade}<435:3.239+0.002\left|L_{uckGrade}-434\right|,435 \le L_{uckGrade}<443:3.241+0.001\left|L_{uckGrade}-435\right|,443 \le L_{uckGrade}<444:3.249+0.002\left|L_{uckGrade}-443\right|,444 \le L_{uckGrade}<447:3.251+0.001\left|L_{uckGrade}-444\right|,447 \le L_{uckGrade}<448:3.254+0\left|L_{uckGrade}-447\right|,448 \le L_{uckGrade}<456:3.254+0.001\left|L_{uckGrade}-448\right|,456 \le L_{uckGrade}<457:3.262+0\left|L_{uckGrade}-456\right|,457 \le L_{uckGrade}<460:3.262+0.001\left|L_{uckGrade}-457\right|,460 \le L_{uckGrade}<461:3.265+0\left|L_{uckGrade}-460\right|,461 \le L_{uckGrade}<463:3.265+0.001\left|L_{uckGrade}-461\right|,463 \le L_{uckGrade}<464:3.267+0\left|L_{uckGrade}-463\right|,464 \le L_{uckGrade}<466:3.267+0.001\left|L_{uckGrade}-464\right|,466 \le L_{uckGrade}<467:3.269+0\left|L_{uckGrade}-466\right|,467 \le L_{uckGrade}<469:3.269+0.001\left|L_{uckGrade}-467\right|,469 \le L_{uckGrade}<470:3.271+0\left|L_{uckGrade}-469\right|,470 \le L_{uckGrade}<471:3.271+0.001\left|L_{uckGrade}-470\right|,471 \le L_{uckGrade}<472:3.272+0\left|L_{uckGrade}-471\right|,472 \le L_{uckGrade}<473:3.272+0.001\left|L_{uckGrade}-472\right|,473 \le L_{uckGrade}<474:3.273+0\left|L_{uckGrade}-473\right|,474 \le L_{uckGrade}<475:3.273+0.001\left|L_{uckGrade}-474\right|,475 \le L_{uckGrade}<476:3.274+0\left|L_{uckGrade}-475\right|,476 \le L_{uckGrade}<477:3.274+0.001\left|L_{uckGrade}-476\right|,477 \le L_{uckGrade}<479:3.275+0\left|L_{uckGrade}-477\right|,479 \le L_{uckGrade}<480:3.275+0.001\left|L_{uckGrade}-479\right|,480 \le L_{uckGrade}<482:3.276+0\left|L_{uckGrade}-480\right|,482 \le L_{uckGrade}<483:3.276+0.001\left|L_{uckGrade}-482\right|,483 \le L_{uckGrade}<485:3.277+0\left|L_{uckGrade}-483\right|,485 \le L_{uckGrade}<486:3.277+0.001\left|L_{uckGrade}-485\right|,486 \le L_{uckGrade}<489:3.278+0\left|L_{uckGrade}-486\right|,489 \le L_{uckGrade}<490:3.278+0.001\left|L_{uckGrade}-489\right|,490 \le L_{uckGrade}<498:3.279+0\left|L_{uckGrade}-490\right|,498 \le L_{uckGrade}<499:3.279+0.001\left|L_{uckGrade}-498\right|,499 \le L_{uckGrade}<500:3.28+0\left|L_{uckGrade}-499\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}<2:1+0.011\left|L_{uckGrade}-0\right|,2 \le L_{uckGrade}<3:1.022+0.01\left|L_{uckGrade}-2\right|,3 \le L_{uckGrade}<5:1.032+0.011\left|L_{uckGrade}-3\right|,5 \le L_{uckGrade}<6:1.054+0.01\left|L_{uckGrade}-5\right|,6 \le L_{uckGrade}<8:1.064+0.011\left|L_{uckGrade}-6\right|,8 \le L_{uckGrade}<9:1.086+0.01\left|L_{uckGrade}-8\right|,9 \le L_{uckGrade}<11:1.096+0.011\left|L_{uckGrade}-9\right|,11 \le L_{uckGrade}<12:1.118+0.01\left|L_{uckGrade}-11\right|,12 \le L_{uckGrade}<13:1.128+0.011\left|L_{uckGrade}-12\right|,13 \le L_{uckGrade}<14:1.139+0.01\left|L_{uckGrade}-13\right|,14 \le L_{uckGrade}<15:1.149+0.011\left|L_{uckGrade}-14\right|,15 \le L_{uckGrade}<16:1.16+0.01\left|L_{uckGrade}-15\right|,16 \le L_{uckGrade}<17:1.17+0.011\left|L_{uckGrade}-16\right|,17 \le L_{uckGrade}<18:1.181+0.01\left|L_{uckGrade}-17\right|,18 \le L_{uckGrade}<19:1.191+0.011\left|L_{uckGrade}-18\right|,19 \le L_{uckGrade}<21:1.202+0.01\left|L_{uckGrade}-19\right|,21 \le L_{uckGrade}<22:1.222+0.011\left|L_{uckGrade}-21\right|,22 \le L_{uckGrade}<24:1.233+0.01\left|L_{uckGrade}-22\right|,24 \le L_{uckGrade}<25:1.253+0.011\left|L_{uckGrade}-24\right|,25 \le L_{uckGrade}<29:1.264+0.01\left|L_{uckGrade}-25\right|,29 \le L_{uckGrade}<30:1.304+0.011\left|L_{uckGrade}-29\right|,30 \le L_{uckGrade}<45:1.315+0.01\left|L_{uckGrade}-30\right|,45 \le L_{uckGrade}<46:1.465+0.009\left|L_{uckGrade}-45\right|,46 \le L_{uckGrade}<50:1.474+0.01\left|L_{uckGrade}-46\right|,50 \le L_{uckGrade}<51:1.514+0.009\left|L_{uckGrade}-50\right|,51 \le L_{uckGrade}<53:1.523+0.01\left|L_{uckGrade}-51\right|,53 \le L_{uckGrade}<54:1.543+0.009\left|L_{uckGrade}-53\right|,54 \le L_{uckGrade}<56:1.552+0.01\left|L_{uckGrade}-54\right|,56 \le L_{uckGrade}<57:1.572+0.009\left|L_{uckGrade}-56\right|,57 \le L_{uckGrade}<58:1.581+0.01\left|L_{uckGrade}-57\right|,58 \le L_{uckGrade}<59:1.591+0.009\left|L_{uckGrade}-58\right|,59 \le L_{uckGrade}<60:1.6+0.01\left|L_{uckGrade}-59\right|,60 \le L_{uckGrade}<61:1.61+0.009\left|L_{uckGrade}-60\right|,61 \le L_{uckGrade}<62:1.619+0.01\left|L_{uckGrade}-61\right|,62 \le L_{uckGrade}<63:1.629+0.009\left|L_{uckGrade}-62\right|,63 \le L_{uckGrade}<64:1.638+0.01\left|L_{uckGrade}-63\right|,64 \le L_{uckGrade}<66:1.648+0.009\left|L_{uckGrade}-64\right|,66 \le L_{uckGrade}<67:1.666+0.01\left|L_{uckGrade}-66\right|,67 \le L_{uckGrade}<68:1.676+0.009\left|L_{uckGrade}-67\right|,68 \le L_{uckGrade}<69:1.685+0.01\left|L_{uckGrade}-68\right|,69 \le L_{uckGrade}<72:1.695+0.009\left|L_{uckGrade}-69\right|,72 \le L_{uckGrade}<73:1.722+0.01\left|L_{uckGrade}-72\right|,73 \le L_{uckGrade}<77:1.732+0.009\left|L_{uckGrade}-73\right|,77 \le L_{uckGrade}<78:1.768+0.01\left|L_{uckGrade}-77\right|,78 \le L_{uckGrade}<89:1.778+0.009\left|L_{uckGrade}-78\right|,89 \le L_{uckGrade}<90:1.877+0.008\left|L_{uckGrade}-89\right|,90 \le L_{uckGrade}<95:1.885+0.009\left|L_{uckGrade}-90\right|,95 \le L_{uckGrade}<96:1.93+0.008\left|L_{uckGrade}-95\right|,96 \le L_{uckGrade}<98:1.938+0.009\left|L_{uckGrade}-96\right|,98 \le L_{uckGrade}<99:1.956+0.008\left|L_{uckGrade}-98\right|,99 \le L_{uckGrade}<101:1.964+0.009\left|L_{uckGrade}-99\right|,101 \le L_{uckGrade}<102:1.982+0.008\left|L_{uckGrade}-101\right|,102 \le L_{uckGrade}<104:1.99+0.009\left|L_{uckGrade}-102\right|,104 \le L_{uckGrade}<105:2.008+0.008\left|L_{uckGrade}-104\right|,105 \le L_{uckGrade}<106:2.016+0.009\left|L_{uckGrade}-105\right|,106 \le L_{uckGrade}<107:2.025+0.008\left|L_{uckGrade}-106\right|,107 \le L_{uckGrade}<108:2.033+0.009\left|L_{uckGrade}-107\right|,108 \le L_{uckGrade}<109:2.042+0.008\left|L_{uckGrade}-108\right|,109 \le L_{uckGrade}<110:2.05+0.009\left|L_{uckGrade}-109\right|,110 \le L_{uckGrade}<112:2.059+0.008\left|L_{uckGrade}-110\right|,112 \le L_{uckGrade}<113:2.075+0.009\left|L_{uckGrade}-112\right|,113 \le L_{uckGrade}<115:2.084+0.008\left|L_{uckGrade}-113\right|,115 \le L_{uckGrade}<116:2.1+0.009\left|L_{uckGrade}-115\right|,116 \le L_{uckGrade}<118:2.109+0.008\left|L_{uckGrade}-116\right|,118 \le L_{uckGrade}<119:2.125+0.009\left|L_{uckGrade}-118\right|,119 \le L_{uckGrade}<124:2.134+0.008\left|L_{uckGrade}-119\right|,124 \le L_{uckGrade}<125:2.174+0.009\left|L_{uckGrade}-124\right|,125 \le L_{uckGrade}<136:2.183+0.008\left|L_{uckGrade}-125\right|,136 \le L_{uckGrade}<137:2.271+0.007\left|L_{uckGrade}-136\right|,137 \le L_{uckGrade}<141:2.278+0.008\left|L_{uckGrade}-137\right|,141 \le L_{uckGrade}<142:2.31+0.007\left|L_{uckGrade}-141\right|,142 \le L_{uckGrade}<144:2.317+0.008\left|L_{uckGrade}-142\right|,144 \le L_{uckGrade}<145:2.333+0.007\left|L_{uckGrade}-144\right|,145 \le L_{uckGrade}<147:2.34+0.008\left|L_{uckGrade}-145\right|,147 \le L_{uckGrade}<148:2.356+0.007\left|L_{uckGrade}-147\right|,148 \le L_{uckGrade}<150:2.363+0.008\left|L_{uckGrade}-148\right|,150 \le L_{uckGrade}<151:2.379+0.007\left|L_{uckGrade}-150\right|,151 \le L_{uckGrade}<152:2.386+0.008\left|L_{uckGrade}-151\right|,152 \le L_{uckGrade}<153:2.394+0.007\left|L_{uckGrade}-152\right|,153 \le L_{uckGrade}<154:2.401+0.008\left|L_{uckGrade}-153\right|,154 \le L_{uckGrade}<155:2.409+0.007\left|L_{uckGrade}-154\right|,155 \le L_{uckGrade}<156:2.416+0.008\left|L_{uckGrade}-155\right|,156 \le L_{uckGrade}<158:2.424+0.007\left|L_{uckGrade}-156\right|,158 \le L_{uckGrade}<159:2.438+0.008\left|L_{uckGrade}-158\right|,159 \le L_{uckGrade}<160:2.446+0.007\left|L_{uckGrade}-159\right|,160 \le L_{uckGrade}<161:2.453+0.008\left|L_{uckGrade}-160\right|,161 \le L_{uckGrade}<164:2.461+0.007\left|L_{uckGrade}-161\right|,164 \le L_{uckGrade}<165:2.482+0.008\left|L_{uckGrade}-164\right|,165 \le L_{uckGrade}<168:2.49+0.007\left|L_{uckGrade}-165\right|,168 \le L_{uckGrade}<169:2.511+0.008\left|L_{uckGrade}-168\right|,169 \le L_{uckGrade}<184:2.519+0.007\left|L_{uckGrade}-169\right|,184 \le L_{uckGrade}<185:2.624+0.006\left|L_{uckGrade}-184\right|,185 \le L_{uckGrade}<188:2.63+0.007\left|L_{uckGrade}-185\right|,188 \le L_{uckGrade}<189:2.651+0.006\left|L_{uckGrade}-188\right|,189 \le L_{uckGrade}<192:2.657+0.007\left|L_{uckGrade}-189\right|,192 \le L_{uckGrade}<193:2.678+0.006\left|L_{uckGrade}-192\right|,193 \le L_{uckGrade}<194:2.684+0.007\left|L_{uckGrade}-193\right|,194 \le L_{uckGrade}<195:2.691+0.006\left|L_{uckGrade}-194\right|,195 \le L_{uckGrade}<197:2.697+0.007\left|L_{uckGrade}-195\right|,197 \le L_{uckGrade}<198:2.711+0.006\left|L_{uckGrade}-197\right|,198 \le L_{uckGrade}<199:2.717+0.007\left|L_{uckGrade}-198\right|,199 \le L_{uckGrade}<200:2.724+0.006\left|L_{uckGrade}-199\right|,200 \le L_{uckGrade}<201:2.73+0.007\left|L_{uckGrade}-200\right|,201 \le L_{uckGrade}<202:2.737+0.006\left|L_{uckGrade}-201\right|,202 \le L_{uckGrade}<203:2.743+0.007\left|L_{uckGrade}-202\right|,203 \le L_{uckGrade}<205:2.75+0.006\left|L_{uckGrade}-203\right|,205 \le L_{uckGrade}<206:2.762+0.007\left|L_{uckGrade}-205\right|,206 \le L_{uckGrade}<208:2.769+0.006\left|L_{uckGrade}-206\right|,208 \le L_{uckGrade}<209:2.781+0.007\left|L_{uckGrade}-208\right|,209 \le L_{uckGrade}<212:2.788+0.006\left|L_{uckGrade}-209\right|,212 \le L_{uckGrade}<213:2.806+0.007\left|L_{uckGrade}-212\right|,213 \le L_{uckGrade}<218:2.813+0.006\left|L_{uckGrade}-213\right|,218 \le L_{uckGrade}<219:2.843+0.007\left|L_{uckGrade}-218\right|,219 \le L_{uckGrade}<227:2.85+0.006\left|L_{uckGrade}-219\right|,227 \le L_{uckGrade}<228:2.898+0.005\left|L_{uckGrade}-227\right|,228 \le L_{uckGrade}<233:2.903+0.006\left|L_{uckGrade}-228\right|,233 \le L_{uckGrade}<234:2.933+0.005\left|L_{uckGrade}-233\right|,234 \le L_{uckGrade}<237:2.938+0.006\left|L_{uckGrade}-234\right|,237 \le L_{uckGrade}<238:2.956+0.005\left|L_{uckGrade}-237\right|,238 \le L_{uckGrade}<240:2.961+0.006\left|L_{uckGrade}-238\right|,240 \le L_{uckGrade}<241:2.973+0.005\left|L_{uckGrade}-240\right|,241 \le L_{uckGrade}<242:2.978+0.006\left|L_{uckGrade}-241\right|,242 \le L_{uckGrade}<243:2.984+0.005\left|L_{uckGrade}-242\right|,243 \le L_{uckGrade}<244:2.989+0.006\left|L_{uckGrade}-243\right|,244 \le L_{uckGrade}<245:2.995+0.005\left|L_{uckGrade}-244\right|,245 \le L_{uckGrade}<246:3+0.006\left|L_{uckGrade}-245\right|,246 \le L_{uckGrade}<247:3.006+0.005\left|L_{uckGrade}-246\right|,247 \le L_{uckGrade}<248:3.011+0.006\left|L_{uckGrade}-247\right|,248 \le L_{uckGrade}<249:3.017+0.005\left|L_{uckGrade}-248\right|,249 \le L_{uckGrade}<250:3.022+0.006\left|L_{uckGrade}-249\right|,250 \le L_{uckGrade}<252:3.028+0.005\left|L_{uckGrade}-250\right|,252 \le L_{uckGrade}<253:3.038+0.006\left|L_{uckGrade}-252\right|,253 \le L_{uckGrade}<255:3.044+0.005\left|L_{uckGrade}-253\right|,255 \le L_{uckGrade}<256:3.054+0.006\left|L_{uckGrade}-255\right|,256 \le L_{uckGrade}<258:3.06+0.005\left|L_{uckGrade}-256\right|,258 \le L_{uckGrade}<259:3.07+0.006\left|L_{uckGrade}-258\right|,259 \le L_{uckGrade}<265:3.076+0.005\left|L_{uckGrade}-259\right|,265 \le L_{uckGrade}<266:3.106+0.006\left|L_{uckGrade}-265\right|,266 \le L_{uckGrade}<272:3.112+0.005\left|L_{uckGrade}-266\right|,272 \le L_{uckGrade}<273:3.142+0.004\left|L_{uckGrade}-272\right|,273 \le L_{uckGrade}<279:3.146+0.005\left|L_{uckGrade}-273\right|,279 \le L_{uckGrade}<280:3.176+0.004\left|L_{uckGrade}-279\right|,280 \le L_{uckGrade}<282:3.18+0.005\left|L_{uckGrade}-280\right|,282 \le L_{uckGrade}<283:3.19+0.004\left|L_{uckGrade}-282\right|,283 \le L_{uckGrade}<285:3.194+0.005\left|L_{uckGrade}-283\right|,285 \le L_{uckGrade}<286:3.204+0.004\left|L_{uckGrade}-285\right|,286 \le L_{uckGrade}<288:3.208+0.005\left|L_{uckGrade}-286\right|,288 \le L_{uckGrade}<289:3.218+0.004\left|L_{uckGrade}-288\right|,289 \le L_{uckGrade}<290:3.222+0.005\left|L_{uckGrade}-289\right|,290 \le L_{uckGrade}<291:3.227+0.004\left|L_{uckGrade}-290\right|,291 \le L_{uckGrade}<292:3.231+0.005\left|L_{uckGrade}-291\right|,292 \le L_{uckGrade}<293:3.236+0.004\left|L_{uckGrade}-292\right|,293 \le L_{uckGrade}<294:3.24+0.005\left|L_{uckGrade}-293\right|,294 \le L_{uckGrade}<295:3.245+0.004\left|L_{uckGrade}-294\right|,295 \le L_{uckGrade}<296:3.249+0.005\left|L_{uckGrade}-295\right|,296 \le L_{uckGrade}<297:3.254+0.004\left|L_{uckGrade}-296\right|,297 \le L_{uckGrade}<298:3.258+0.005\left|L_{uckGrade}-297\right|,298 \le L_{uckGrade}<300:3.263+0.004\left|L_{uckGrade}-298\right|,300 \le L_{uckGrade}<301:3.271+0.005\left|L_{uckGrade}-300\right|,301 \le L_{uckGrade}<304:3.276+0.004\left|L_{uckGrade}-301\right|,304 \le L_{uckGrade}<305:3.288+0.005\left|L_{uckGrade}-304\right|,305 \le L_{uckGrade}<310:3.293+0.004\left|L_{uckGrade}-305\right|,310 \le L_{uckGrade}<311:3.313+0.005\left|L_{uckGrade}-310\right|,311 \le L_{uckGrade}<320:3.318+0.004\left|L_{uckGrade}-311\right|,320 \le L_{uckGrade}<321:3.354+0.003\left|L_{uckGrade}-320\right|,321 \le L_{uckGrade}<326:3.357+0.004\left|L_{uckGrade}-321\right|,326 \le L_{uckGrade}<327:3.377+0.003\left|L_{uckGrade}-326\right|,327 \le L_{uckGrade}<329:3.38+0.004\left|L_{uckGrade}-327\right|,329 \le L_{uckGrade}<330:3.388+0.003\left|L_{uckGrade}-329\right|,330 \le L_{uckGrade}<332:3.391+0.004\left|L_{uckGrade}-330\right|,332 \le L_{uckGrade}<333:3.399+0.003\left|L_{uckGrade}-332\right|,333 \le L_{uckGrade}<335:3.402+0.004\left|L_{uckGrade}-333\right|,335 \le L_{uckGrade}<336:3.41+0.003\left|L_{uckGrade}-335\right|,336 \le L_{uckGrade}<337:3.413+0.004\left|L_{uckGrade}-336\right|,337 \le L_{uckGrade}<338:3.417+0.003\left|L_{uckGrade}-337\right|,338 \le L_{uckGrade}<339:3.42+0.004\left|L_{uckGrade}-338\right|,339 \le L_{uckGrade}<340:3.424+0.003\left|L_{uckGrade}-339\right|,340 \le L_{uckGrade}<341:3.427+0.004\left|L_{uckGrade}-340\right|,341 \le L_{uckGrade}<343:3.431+0.003\left|L_{uckGrade}-341\right|,343 \le L_{uckGrade}<344:3.437+0.004\left|L_{uckGrade}-343\right|,344 \le L_{uckGrade}<345:3.441+0.003\left|L_{uckGrade}-344\right|,345 \le L_{uckGrade}<346:3.444+0.004\left|L_{uckGrade}-345\right|,346 \le L_{uckGrade}<348:3.448+0.003\left|L_{uckGrade}-346\right|,348 \le L_{uckGrade}<349:3.454+0.004\left|L_{uckGrade}-348\right|,349 \le L_{uckGrade}<353:3.458+0.003\left|L_{uckGrade}-349\right|,353 \le L_{uckGrade}<354:3.47+0.004\left|L_{uckGrade}-353\right|,354 \le L_{uckGrade}<369:3.474+0.003\left|L_{uckGrade}-354\right|,369 \le L_{uckGrade}<370:3.519+0.002\left|L_{uckGrade}-369\right|,370 \le L_{uckGrade}<374:3.521+0.003\left|L_{uckGrade}-370\right|,374 \le L_{uckGrade}<375:3.533+0.002\left|L_{uckGrade}-374\right|,375 \le L_{uckGrade}<377:3.535+0.003\left|L_{uckGrade}-375\right|,377 \le L_{uckGrade}<378:3.541+0.002\left|L_{uckGrade}-377\right|,378 \le L_{uckGrade}<380:3.543+0.003\left|L_{uckGrade}-378\right|,380 \le L_{uckGrade}<381:3.549+0.002\left|L_{uckGrade}-380\right|,381 \le L_{uckGrade}<382:3.551+0.003\left|L_{uckGrade}-381\right|,382 \le L_{uckGrade}<383:3.554+0.002\left|L_{uckGrade}-382\right|,383 \le L_{uckGrade}<384:3.556+0.003\left|L_{uckGrade}-383\right|,384 \le L_{uckGrade}<385:3.559+0.002\left|L_{uckGrade}-384\right|,385 \le L_{uckGrade}<386:3.561+0.003\left|L_{uckGrade}-385\right|,386 \le L_{uckGrade}<387:3.564+0.002\left|L_{uckGrade}-386\right|,387 \le L_{uckGrade}<388:3.566+0.003\left|L_{uckGrade}-387\right|,388 \le L_{uckGrade}<389:3.569+0.002\left|L_{uckGrade}-388\right|,389 \le L_{uckGrade}<390:3.571+0.003\left|L_{uckGrade}-389\right|,390 \le L_{uckGrade}<392:3.574+0.002\left|L_{uckGrade}-390\right|,392 \le L_{uckGrade}<393:3.578+0.003\left|L_{uckGrade}-392\right|,393 \le L_{uckGrade}<396:3.581+0.002\left|L_{uckGrade}-393\right|,396 \le L_{uckGrade}<397:3.587+0.003\left|L_{uckGrade}-396\right|,397 \le L_{uckGrade}<401:3.59+0.002\left|L_{uckGrade}-397\right|,401 \le L_{uckGrade}<402:3.598+0.003\left|L_{uckGrade}-401\right|,402 \le L_{uckGrade}<414:3.601+0.002\left|L_{uckGrade}-402\right|,414 \le L_{uckGrade}<415:3.625+0.001\left|L_{uckGrade}-414\right|,415 \le L_{uckGrade}<419:3.626+0.002\left|L_{uckGrade}-415\right|,419 \le L_{uckGrade}<420:3.634+0.001\left|L_{uckGrade}-419\right|,420 \le L_{uckGrade}<423:3.635+0.002\left|L_{uckGrade}-420\right|,423 \le L_{uckGrade}<424:3.641+0.001\left|L_{uckGrade}-423\right|,424 \le L_{uckGrade}<425:3.642+0.002\left|L_{uckGrade}-424\right|,425 \le L_{uckGrade}<426:3.644+0.001\left|L_{uckGrade}-425\right|,426 \le L_{uckGrade}<428:3.645+0.002\left|L_{uckGrade}-426\right|,428 \le L_{uckGrade}<429:3.649+0.001\left|L_{uckGrade}-428\right|,429 \le L_{uckGrade}<430:3.65+0.002\left|L_{uckGrade}-429\right|,430 \le L_{uckGrade}<431:3.652+0.001\left|L_{uckGrade}-430\right|,431 \le L_{uckGrade}<432:3.653+0.002\left|L_{uckGrade}-431\right|,432 \le L_{uckGrade}<433:3.655+0.001\left|L_{uckGrade}-432\right|,433 \le L_{uckGrade}<434:3.656+0.002\left|L_{uckGrade}-433\right|,434 \le L_{uckGrade}<436:3.658+0.001\left|L_{uckGrade}-434\right|,436 \le L_{uckGrade}<437:3.66+0.002\left|L_{uckGrade}-436\right|,437 \le L_{uckGrade}<438:3.662+0.001\left|L_{uckGrade}-437\right|,438 \le L_{uckGrade}<439:3.663+0.002\left|L_{uckGrade}-438\right|,439 \le L_{uckGrade}<442:3.665+0.001\left|L_{uckGrade}-439\right|,442 \le L_{uckGrade}<443:3.668+0.002\left|L_{uckGrade}-442\right|,443 \le L_{uckGrade}<447:3.67+0.001\left|L_{uckGrade}-443\right|,447 \le L_{uckGrade}<448:3.674+0.002\left|L_{uckGrade}-447\right|,448 \le L_{uckGrade}<461:3.676+0.001\left|L_{uckGrade}-448\right|,461 \le L_{uckGrade}<462:3.689+0\left|L_{uckGrade}-461\right|,462 \le L_{uckGrade}<466:3.689+0.001\left|L_{uckGrade}-462\right|,466 \le L_{uckGrade}<467:3.693+0\left|L_{uckGrade}-466\right|,467 \le L_{uckGrade}<469:3.693+0.001\left|L_{uckGrade}-467\right|,469 \le L_{uckGrade}<470:3.695+0\left|L_{uckGrade}-469\right|,470 \le L_{uckGrade}<472:3.695+0.001\left|L_{uckGrade}-470\right|,472 \le L_{uckGrade}<473:3.697+0\left|L_{uckGrade}-472\right|,473 \le L_{uckGrade}<474:3.697+0.001\left|L_{uckGrade}-473\right|,474 \le L_{uckGrade}<475:3.698+0\left|L_{uckGrade}-474\right|,475 \le L_{uckGrade}<476:3.698+0.001\left|L_{uckGrade}-475\right|,476 \le L_{uckGrade}<477:3.699+0\left|L_{uckGrade}-476\right|,477 \le L_{uckGrade}<478:3.699+0.001\left|L_{uckGrade}-477\right|,478 \le L_{uckGrade}<479:3.7+0\left|L_{uckGrade}-478\right|,479 \le L_{uckGrade}<480:3.7+0.001\left|L_{uckGrade}-479\right|,480 \le L_{uckGrade}<481:3.701+0\left|L_{uckGrade}-480\right|,481 \le L_{uckGrade}<482:3.701+0.001\left|L_{uckGrade}-481\right|,482 \le L_{uckGrade}<484:3.702+0\left|L_{uckGrade}-482\right|,484 \le L_{uckGrade}<485:3.702+0.001\left|L_{uckGrade}-484\right|,485 \le L_{uckGrade}<487:3.703+0\left|L_{uckGrade}-485\right|,487 \le L_{uckGrade}<488:3.703+0.001\left|L_{uckGrade}-487\right|,488 \le L_{uckGrade}<491:3.704+0\left|L_{uckGrade}-488\right|,491 \le L_{uckGrade}<492:3.704+0.001\left|L_{uckGrade}-491\right|,492 \le L_{uckGrade}<500:3.705+0\left|L_{uckGrade}-492\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}<2:1+0.013\left|L_{uckGrade}-0\right|,2 \le L_{uckGrade}<3:1.026+0.012\left|L_{uckGrade}-2\right|,3 \le L_{uckGrade}<6:1.038+0.013\left|L_{uckGrade}-3\right|,6 \le L_{uckGrade}<7:1.077+0.012\left|L_{uckGrade}-6\right|,7 \le L_{uckGrade}<9:1.089+0.013\left|L_{uckGrade}-7\right|,9 \le L_{uckGrade}<10:1.115+0.012\left|L_{uckGrade}-9\right|,10 \le L_{uckGrade}<11:1.127+0.013\left|L_{uckGrade}-10\right|,11 \le L_{uckGrade}<12:1.14+0.012\left|L_{uckGrade}-11\right|,12 \le L_{uckGrade}<13:1.152+0.013\left|L_{uckGrade}-12\right|,13 \le L_{uckGrade}<14:1.165+0.012\left|L_{uckGrade}-13\right|,14 \le L_{uckGrade}<15:1.177+0.013\left|L_{uckGrade}-14\right|,15 \le L_{uckGrade}<16:1.19+0.012\left|L_{uckGrade}-15\right|,16 \le L_{uckGrade}<17:1.202+0.013\left|L_{uckGrade}-16\right|,17 \le L_{uckGrade}<19:1.215+0.012\left|L_{uckGrade}-17\right|,19 \le L_{uckGrade}<20:1.239+0.013\left|L_{uckGrade}-19\right|,20 \le L_{uckGrade}<23:1.252+0.012\left|L_{uckGrade}-20\right|,23 \le L_{uckGrade}<24:1.288+0.013\left|L_{uckGrade}-23\right|,24 \le L_{uckGrade}<28:1.301+0.012\left|L_{uckGrade}-24\right|,28 \le L_{uckGrade}<29:1.349+0.013\left|L_{uckGrade}-28\right|,29 \le L_{uckGrade}<36:1.362+0.012\left|L_{uckGrade}-29\right|,36 \le L_{uckGrade}<37:1.446+0.011\left|L_{uckGrade}-36\right|,37 \le L_{uckGrade}<42:1.457+0.012\left|L_{uckGrade}-37\right|,42 \le L_{uckGrade}<43:1.517+0.011\left|L_{uckGrade}-42\right|,43 \le L_{uckGrade}<45:1.528+0.012\left|L_{uckGrade}-43\right|,45 \le L_{uckGrade}<46:1.552+0.011\left|L_{uckGrade}-45\right|,46 \le L_{uckGrade}<48:1.563+0.012\left|L_{uckGrade}-46\right|,48 \le L_{uckGrade}<49:1.587+0.011\left|L_{uckGrade}-48\right|,49 \le L_{uckGrade}<50:1.598+0.012\left|L_{uckGrade}-49\right|,50 \le L_{uckGrade}<51:1.61+0.011\left|L_{uckGrade}-50\right|,51 \le L_{uckGrade}<52:1.621+0.012\left|L_{uckGrade}-51\right|,52 \le L_{uckGrade}<53:1.633+0.011\left|L_{uckGrade}-52\right|,53 \le L_{uckGrade}<54:1.644+0.012\left|L_{uckGrade}-53\right|,54 \le L_{uckGrade}<55:1.656+0.011\left|L_{uckGrade}-54\right|,55 \le L_{uckGrade}<56:1.667+0.012\left|L_{uckGrade}-55\right|,56 \le L_{uckGrade}<58:1.679+0.011\left|L_{uckGrade}-56\right|,58 \le L_{uckGrade}<59:1.701+0.012\left|L_{uckGrade}-58\right|,59 \le L_{uckGrade}<61:1.713+0.011\left|L_{uckGrade}-59\right|,61 \le L_{uckGrade}<62:1.735+0.012\left|L_{uckGrade}-61\right|,62 \le L_{uckGrade}<66:1.747+0.011\left|L_{uckGrade}-62\right|,66 \le L_{uckGrade}<67:1.791+0.012\left|L_{uckGrade}-66\right|,67 \le L_{uckGrade}<76:1.803+0.011\left|L_{uckGrade}-67\right|,76 \le L_{uckGrade}<77:1.902+0.01\left|L_{uckGrade}-76\right|,77 \le L_{uckGrade}<81:1.912+0.011\left|L_{uckGrade}-77\right|,81 \le L_{uckGrade}<82:1.956+0.01\left|L_{uckGrade}-81\right|,82 \le L_{uckGrade}<85:1.966+0.011\left|L_{uckGrade}-82\right|,85 \le L_{uckGrade}<86:1.999+0.01\left|L_{uckGrade}-85\right|,86 \le L_{uckGrade}<87:2.009+0.011\left|L_{uckGrade}-86\right|,87 \le L_{uckGrade}<88:2.02+0.01\left|L_{uckGrade}-87\right|,88 \le L_{uckGrade}<90:2.03+0.011\left|L_{uckGrade}-88\right|,90 \le L_{uckGrade}<91:2.052+0.01\left|L_{uckGrade}-90\right|,91 \le L_{uckGrade}<92:2.062+0.011\left|L_{uckGrade}-91\right|,92 \le L_{uckGrade}<94:2.073+0.01\left|L_{uckGrade}-92\right|,94 \le L_{uckGrade}<95:2.093+0.011\left|L_{uckGrade}-94\right|,95 \le L_{uckGrade}<96:2.104+0.01\left|L_{uckGrade}-95\right|,96 \le L_{uckGrade}<97:2.114+0.011\left|L_{uckGrade}-96\right|,97 \le L_{uckGrade}<99:2.125+0.01\left|L_{uckGrade}-97\right|,99 \le L_{uckGrade}<100:2.145+0.011\left|L_{uckGrade}-99\right|,100 \le L_{uckGrade}<104:2.156+0.01\left|L_{uckGrade}-100\right|,104 \le L_{uckGrade}<105:2.196+0.011\left|L_{uckGrade}-104\right|,105 \le L_{uckGrade}<116:2.207+0.01\left|L_{uckGrade}-105\right|,116 \le L_{uckGrade}<117:2.317+0.009\left|L_{uckGrade}-116\right|,117 \le L_{uckGrade}<121:2.326+0.01\left|L_{uckGrade}-117\right|,121 \le L_{uckGrade}<122:2.366+0.009\left|L_{uckGrade}-121\right|,122 \le L_{uckGrade}<124:2.375+0.01\left|L_{uckGrade}-122\right|,124 \le L_{uckGrade}<125:2.395+0.009\left|L_{uckGrade}-124\right|,125 \le L_{uckGrade}<127:2.404+0.01\left|L_{uckGrade}-125\right|,127 \le L_{uckGrade}<128:2.424+0.009\left|L_{uckGrade}-127\right|,128 \le L_{uckGrade}<129:2.433+0.01\left|L_{uckGrade}-128\right|,129 \le L_{uckGrade}<130:2.443+0.009\left|L_{uckGrade}-129\right|,130 \le L_{uckGrade}<131:2.452+0.01\left|L_{uckGrade}-130\right|,131 \le L_{uckGrade}<132:2.462+0.009\left|L_{uckGrade}-131\right|,132 \le L_{uckGrade}<133:2.471+0.01\left|L_{uckGrade}-132\right|,133 \le L_{uckGrade}<135:2.481+0.009\left|L_{uckGrade}-133\right|,135 \le L_{uckGrade}<136:2.499+0.01\left|L_{uckGrade}-135\right|,136 \le L_{uckGrade}<138:2.509+0.009\left|L_{uckGrade}-136\right|,138 \le L_{uckGrade}<139:2.527+0.01\left|L_{uckGrade}-138\right|,139 \le L_{uckGrade}<142:2.537+0.009\left|L_{uckGrade}-139\right|,142 \le L_{uckGrade}<143:2.564+0.01\left|L_{uckGrade}-142\right|,143 \le L_{uckGrade}<156:2.574+0.009\left|L_{uckGrade}-143\right|,156 \le L_{uckGrade}<157:2.691+0.008\left|L_{uckGrade}-156\right|,157 \le L_{uckGrade}<160:2.699+0.009\left|L_{uckGrade}-157\right|,160 \le L_{uckGrade}<161:2.726+0.008\left|L_{uckGrade}-160\right|,161 \le L_{uckGrade}<163:2.734+0.009\left|L_{uckGrade}-161\right|,163 \le L_{uckGrade}<164:2.752+0.008\left|L_{uckGrade}-163\right|,164 \le L_{uckGrade}<166:2.76+0.009\left|L_{uckGrade}-164\right|,166 \le L_{uckGrade}<167:2.778+0.008\left|L_{uckGrade}-166\right|,167 \le L_{uckGrade}<168:2.786+0.009\left|L_{uckGrade}-167\right|,168 \le L_{uckGrade}<169:2.795+0.008\left|L_{uckGrade}-168\right|,169 \le L_{uckGrade}<170:2.803+0.009\left|L_{uckGrade}-169\right|,170 \le L_{uckGrade}<171:2.812+0.008\left|L_{uckGrade}-170\right|,171 \le L_{uckGrade}<172:2.82+0.009\left|L_{uckGrade}-171\right|,172 \le L_{uckGrade}<174:2.829+0.008\left|L_{uckGrade}-172\right|,174 \le L_{uckGrade}<175:2.845+0.009\left|L_{uckGrade}-174\right|,175 \le L_{uckGrade}<176:2.854+0.008\left|L_{uckGrade}-175\right|,176 \le L_{uckGrade}<177:2.862+0.009\left|L_{uckGrade}-176\right|,177 \le L_{uckGrade}<181:2.871+0.008\left|L_{uckGrade}-177\right|,181 \le L_{uckGrade}<182:2.903+0.009\left|L_{uckGrade}-181\right|,182 \le L_{uckGrade}<196:2.912+0.008\left|L_{uckGrade}-182\right|,196 \le L_{uckGrade}<197:3.024+0.007\left|L_{uckGrade}-196\right|,197 \le L_{uckGrade}<200:3.031+0.008\left|L_{uckGrade}-197\right|,200 \le L_{uckGrade}<201:3.055+0.007\left|L_{uckGrade}-200\right|,201 \le L_{uckGrade}<203:3.062+0.008\left|L_{uckGrade}-201\right|,203 \le L_{uckGrade}<204:3.078+0.007\left|L_{uckGrade}-203\right|,204 \le L_{uckGrade}<205:3.085+0.008\left|L_{uckGrade}-204\right|,205 \le L_{uckGrade}<206:3.093+0.007\left|L_{uckGrade}-205\right|,206 \le L_{uckGrade}<207:3.1+0.008\left|L_{uckGrade}-206\right|,207 \le L_{uckGrade}<208:3.108+0.007\left|L_{uckGrade}-207\right|,208 \le L_{uckGrade}<209:3.115+0.008\left|L_{uckGrade}-208\right|,209 \le L_{uckGrade}<210:3.123+0.007\left|L_{uckGrade}-209\right|,210 \le L_{uckGrade}<211:3.13+0.008\left|L_{uckGrade}-210\right|,211 \le L_{uckGrade}<212:3.138+0.007\left|L_{uckGrade}-211\right|,212 \le L_{uckGrade}<213:3.145+0.008\left|L_{uckGrade}-212\right|,213 \le L_{uckGrade}<215:3.153+0.007\left|L_{uckGrade}-213\right|,215 \le L_{uckGrade}<216:3.167+0.008\left|L_{uckGrade}-215\right|,216 \le L_{uckGrade}<219:3.175+0.007\left|L_{uckGrade}-216\right|,219 \le L_{uckGrade}<220:3.196+0.008\left|L_{uckGrade}-219\right|,220 \le L_{uckGrade}<235:3.204+0.007\left|L_{uckGrade}-220\right|,235 \le L_{uckGrade}<236:3.309+0.006\left|L_{uckGrade}-235\right|,236 \le L_{uckGrade}<239:3.315+0.007\left|L_{uckGrade}-236\right|,239 \le L_{uckGrade}<240:3.336+0.006\left|L_{uckGrade}-239\right|,240 \le L_{uckGrade}<242:3.342+0.007\left|L_{uckGrade}-240\right|,242 \le L_{uckGrade}<243:3.356+0.006\left|L_{uckGrade}-242\right|,243 \le L_{uckGrade}<244:3.362+0.007\left|L_{uckGrade}-243\right|,244 \le L_{uckGrade}<245:3.369+0.006\left|L_{uckGrade}-244\right|,245 \le L_{uckGrade}<247:3.375+0.007\left|L_{uckGrade}-245\right|,247 \le L_{uckGrade}<249:3.389+0.006\left|L_{uckGrade}-247\right|,249 \le L_{uckGrade}<250:3.401+0.007\left|L_{uckGrade}-249\right|,250 \le L_{uckGrade}<251:3.408+0.006\left|L_{uckGrade}-250\right|,251 \le L_{uckGrade}<252:3.414+0.007\left|L_{uckGrade}-251\right|,252 \le L_{uckGrade}<254:3.421+0.006\left|L_{uckGrade}-252\right|,254 \le L_{uckGrade}<255:3.433+0.007\left|L_{uckGrade}-254\right|,255 \le L_{uckGrade}<258:3.44+0.006\left|L_{uckGrade}-255\right|,258 \le L_{uckGrade}<259:3.458+0.007\left|L_{uckGrade}-258\right|,259 \le L_{uckGrade}<275:3.465+0.006\left|L_{uckGrade}-259\right|,275 \le L_{uckGrade}<276:3.561+0.005\left|L_{uckGrade}-275\right|,276 \le L_{uckGrade}<278:3.566+0.006\left|L_{uckGrade}-276\right|,278 \le L_{uckGrade}<279:3.578+0.005\left|L_{uckGrade}-278\right|,279 \le L_{uckGrade}<281:3.583+0.006\left|L_{uckGrade}-279\right|,281 \le L_{uckGrade}<282:3.595+0.005\left|L_{uckGrade}-281\right|,282 \le L_{uckGrade}<284:3.6+0.006\left|L_{uckGrade}-282\right|,284 \le L_{uckGrade}<285:3.612+0.005\left|L_{uckGrade}-284\right|,285 \le L_{uckGrade}<286:3.617+0.006\left|L_{uckGrade}-285\right|,286 \le L_{uckGrade}<287:3.623+0.005\left|L_{uckGrade}-286\right|,287 \le L_{uckGrade}<288:3.628+0.006\left|L_{uckGrade}-287\right|,288 \le L_{uckGrade}<290:3.634+0.005\left|L_{uckGrade}-288\right|,290 \le L_{uckGrade}<291:3.644+0.006\left|L_{uckGrade}-290\right|,291 \le L_{uckGrade}<293:3.65+0.005\left|L_{uckGrade}-291\right|,293 \le L_{uckGrade}<294:3.66+0.006\left|L_{uckGrade}-293\right|,294 \le L_{uckGrade}<296:3.666+0.005\left|L_{uckGrade}-294\right|,296 \le L_{uckGrade}<297:3.676+0.006\left|L_{uckGrade}-296\right|,297 \le L_{uckGrade}<314:3.682+0.005\left|L_{uckGrade}-297\right|,314 \le L_{uckGrade}<315:3.767+0.004\left|L_{uckGrade}-314\right|,315 \le L_{uckGrade}<318:3.771+0.005\left|L_{uckGrade}-315\right|,318 \le L_{uckGrade}<319:3.786+0.004\left|L_{uckGrade}-318\right|,319 \le L_{uckGrade}<320:3.79+0.005\left|L_{uckGrade}-319\right|,320 \le L_{uckGrade}<321:3.795+0.004\left|L_{uckGrade}-320\right|,321 \le L_{uckGrade}<323:3.799+0.005\left|L_{uckGrade}-321\right|,323 \le L_{uckGrade}<324:3.809+0.004\left|L_{uckGrade}-323\right|,324 \le L_{uckGrade}<325:3.813+0.005\left|L_{uckGrade}-324\right|,325 \le L_{uckGrade}<326:3.818+0.004\left|L_{uckGrade}-325\right|,326 \le L_{uckGrade}<327:3.822+0.005\left|L_{uckGrade}-326\right|,327 \le L_{uckGrade}<329:3.827+0.004\left|L_{uckGrade}-327\right|,329 \le L_{uckGrade}<330:3.835+0.005\left|L_{uckGrade}-329\right|,330 \le L_{uckGrade}<331:3.84+0.004\left|L_{uckGrade}-330\right|,331 \le L_{uckGrade}<332:3.844+0.005\left|L_{uckGrade}-331\right|,332 \le L_{uckGrade}<335:3.849+0.004\left|L_{uckGrade}-332\right|,335 \le L_{uckGrade}<336:3.861+0.005\left|L_{uckGrade}-335\right|,336 \le L_{uckGrade}<342:3.866+0.004\left|L_{uckGrade}-336\right|,342 \le L_{uckGrade}<343:3.89+0.005\left|L_{uckGrade}-342\right|,343 \le L_{uckGrade}<346:3.895+0.004\left|L_{uckGrade}-343\right|,346 \le L_{uckGrade}<347:3.907+0.003\left|L_{uckGrade}-346\right|,347 \le L_{uckGrade}<353:3.91+0.004\left|L_{uckGrade}-347\right|,353 \le L_{uckGrade}<354:3.934+0.003\left|L_{uckGrade}-353\right|,354 \le L_{uckGrade}<357:3.937+0.004\left|L_{uckGrade}-354\right|,357 \le L_{uckGrade}<358:3.949+0.003\left|L_{uckGrade}-357\right|,358 \le L_{uckGrade}<359:3.952+0.004\left|L_{uckGrade}-358\right|,359 \le L_{uckGrade}<360:3.956+0.003\left|L_{uckGrade}-359\right|,360 \le L_{uckGrade}<362:3.959+0.004\left|L_{uckGrade}-360\right|,362 \le L_{uckGrade}<363:3.967+0.003\left|L_{uckGrade}-362\right|,363 \le L_{uckGrade}<364:3.97+0.004\left|L_{uckGrade}-363\right|,364 \le L_{uckGrade}<365:3.974+0.003\left|L_{uckGrade}-364\right|,365 \le L_{uckGrade}<366:3.977+0.004\left|L_{uckGrade}-365\right|,366 \le L_{uckGrade}<367:3.981+0.003\left|L_{uckGrade}-366\right|,367 \le L_{uckGrade}<368:3.984+0.004\left|L_{uckGrade}-367\right|,368 \le L_{uckGrade}<370:3.988+0.003\left|L_{uckGrade}-368\right|,370 \le L_{uckGrade}<371:3.994+0.004\left|L_{uckGrade}-370\right|,371 \le L_{uckGrade}<374:3.998+0.003\left|L_{uckGrade}-371\right|,374 \le L_{uckGrade}<375:4.007+0.004\left|L_{uckGrade}-374\right|,375 \le L_{uckGrade}<380:4.011+0.003\left|L_{uckGrade}-375\right|,380 \le L_{uckGrade}<381:4.026+0.004\left|L_{uckGrade}-380\right|,381 \le L_{uckGrade}<386:4.03+0.003\left|L_{uckGrade}-381\right|,386 \le L_{uckGrade}<387:4.045+0.002\left|L_{uckGrade}-386\right|,387 \le L_{uckGrade}<392:4.047+0.003\left|L_{uckGrade}-387\right|,392 \le L_{uckGrade}<393:4.062+0.002\left|L_{uckGrade}-392\right|,393 \le L_{uckGrade}<396:4.064+0.003\left|L_{uckGrade}-393\right|,396 \le L_{uckGrade}<397:4.073+0.002\left|L_{uckGrade}-396\right|,397 \le L_{uckGrade}<399:4.075+0.003\left|L_{uckGrade}-397\right|,399 \le L_{uckGrade}<400:4.081+0.002\left|L_{uckGrade}-399\right|,400 \le L_{uckGrade}<401:4.083+0.003\left|L_{uckGrade}-400\right|,401 \le L_{uckGrade}<402:4.086+0.002\left|L_{uckGrade}-401\right|,402 \le L_{uckGrade}<403:4.088+0.003\left|L_{uckGrade}-402\right|,403 \le L_{uckGrade}<404:4.091+0.002\left|L_{uckGrade}-403\right|,404 \le L_{uckGrade}<405:4.093+0.003\left|L_{uckGrade}-404\right|,405 \le L_{uckGrade}<406:4.096+0.002\left|L_{uckGrade}-405\right|,406 \le L_{uckGrade}<407:4.098+0.003\left|L_{uckGrade}-406\right|,407 \le L_{uckGrade}<409:4.101+0.002\left|L_{uckGrade}-407\right|,409 \le L_{uckGrade}<410:4.105+0.003\left|L_{uckGrade}-409\right|,410 \le L_{uckGrade}<413:4.108+0.002\left|L_{uckGrade}-410\right|,413 \le L_{uckGrade}<414:4.114+0.003\left|L_{uckGrade}-413\right|,414 \le L_{uckGrade}<419:4.117+0.002\left|L_{uckGrade}-414\right|,419 \le L_{uckGrade}<420:4.127+0.003\left|L_{uckGrade}-419\right|,420 \le L_{uckGrade}<425:4.13+0.002\left|L_{uckGrade}-420\right|,425 \le L_{uckGrade}<426:4.14+0.001\left|L_{uckGrade}-425\right|,426 \le L_{uckGrade}<431:4.141+0.002\left|L_{uckGrade}-426\right|,431 \le L_{uckGrade}<432:4.151+0.001\left|L_{uckGrade}-431\right|,432 \le L_{uckGrade}<435:4.152+0.002\left|L_{uckGrade}-432\right|,435 \le L_{uckGrade}<436:4.158+0.001\left|L_{uckGrade}-435\right|,436 \le L_{uckGrade}<438:4.159+0.002\left|L_{uckGrade}-436\right|,438 \le L_{uckGrade}<439:4.163+0.001\left|L_{uckGrade}-438\right|,439 \le L_{uckGrade}<440:4.164+0.002\left|L_{uckGrade}-439\right|,440 \le L_{uckGrade}<441:4.166+0.001\left|L_{uckGrade}-440\right|,441 \le L_{uckGrade}<442:4.167+0.002\left|L_{uckGrade}-441\right|,442 \le L_{uckGrade}<443:4.169+0.001\left|L_{uckGrade}-442\right|,443 \le L_{uckGrade}<444:4.17+0.002\left|L_{uckGrade}-443\right|,444 \le L_{uckGrade}<445:4.172+0.001\left|L_{uckGrade}-444\right|,445 \le L_{uckGrade}<446:4.173+0.002\left|L_{uckGrade}-445\right|,446 \le L_{uckGrade}<448:4.175+0.001\left|L_{uckGrade}-446\right|,448 \le L_{uckGrade}<449:4.177+0.002\left|L_{uckGrade}-448\right|,449 \le L_{uckGrade}<452:4.179+0.001\left|L_{uckGrade}-449\right|,452 \le L_{uckGrade}<453:4.182+0.002\left|L_{uckGrade}-452\right|,453 \le L_{uckGrade}<457:4.184+0.001\left|L_{uckGrade}-453\right|,457 \le L_{uckGrade}<458:4.188+0.002\left|L_{uckGrade}-457\right|,458 \le L_{uckGrade}<465:4.19+0.001\left|L_{uckGrade}-458\right|,465 \le L_{uckGrade}<466:4.197+0\left|L_{uckGrade}-465\right|,466 \le L_{uckGrade}<471:4.197+0.001\left|L_{uckGrade}-466\right|,471 \le L_{uckGrade}<472:4.202+0\left|L_{uckGrade}-471\right|,472 \le L_{uckGrade}<474:4.202+0.001\left|L_{uckGrade}-472\right|,474 \le L_{uckGrade}<475:4.204+0\left|L_{uckGrade}-474\right|,475 \le L_{uckGrade}<477:4.204+0.001\left|L_{uckGrade}-475\right|,477 \le L_{uckGrade}<478:4.206+0\left|L_{uckGrade}-477\right|,478 \le L_{uckGrade}<479:4.206+0.001\left|L_{uckGrade}-478\right|,479 \le L_{uckGrade}<480:4.207+0\left|L_{uckGrade}-479\right|,480 \le L_{uckGrade}<481:4.207+0.001\left|L_{uckGrade}-480\right|,481 \le L_{uckGrade}<482:4.208+0\left|L_{uckGrade}-481\right|,482 \le L_{uckGrade}<483:4.208+0.001\left|L_{uckGrade}-482\right|,483 \le L_{uckGrade}<484:4.209+0\left|L_{uckGrade}-483\right|,484 \le L_{uckGrade}<485:4.209+0.001\left|L_{uckGrade}-484\right|,485 \le L_{uckGrade}<487:4.21+0\left|L_{uckGrade}-485\right|,487 \le L_{uckGrade}<488:4.21+0.001\left|L_{uckGrade}-487\right|,488 \le L_{uckGrade}<490:4.211+0\left|L_{uckGrade}-488\right|,490 \le L_{uckGrade}<491:4.211+0.001\left|L_{uckGrade}-490\right|,491 \le L_{uckGrade}<496:4.212+0\left|L_{uckGrade}-491\right|,496 \le L_{uckGrade}<497:4.212+0.001\left|L_{uckGrade}-496\right|,497 \le L_{uckGrade}<500:4.213+0\left|L_{uckGrade}-497\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 -614.8% Physical Damage Reduction.

• -300 -> -614.8%
• -300 to -12 = 2% each, up to -38.8%
• -12 to -4 = 1.5% each, up to -26.8%
• -4 to 6 = 1.2% each, up to -14.8%
• 6 to 12 = 1.3% each, up to -7%
• 12 to 20 = 1.4% each, up to 4.2%
• 20 to 75 = 0.15% each, up to 12.45%
• 75 to 95 = 0.155% each, up to 15.55%
• 95 to 115 = 0.15% each, up to 18.55%
• 115 to 135 = 0.145% each, up to 21.45%
• 135 to 155 = 0.14% each, up to 24.25%
• 155 to 175 = 0.135% each, up to 26.95%
• 175 to 195 = 0.13% each, up to 29.55%
• 195 to 215 = 0.125% each, up to 32.05%
• 215 to 235 = 0.12% each, up to 34.45%
• 235 to 255 = 0.115% each, up to 36.75%
• 255 to 275 = 0.11% each, up to 38.95%
• 275 to 295 = 0.105% each, up to 41.05%
• 295 to 315 = 0.1% each, up to 43.05%
• 315 to 335 = 0.095% each, up to 44.95%
• 335 to 355 = 0.09% each, up to 46.75%
• 355 to 375 = 0.085% each, up to 48.45%
• 375 to 395 = 0.08% each, up to 50.05%
• 395 to 415 = 0.075% each, up to 51.55%
• 415 to 435 = 0.07% each, up to 52.95%
• 435 to 455 = 0.065% each, up to 54.25%
• 455 to 475 = 0.06% each, up to 55.45%
• 475 to 495 = 0.055% each, up to 56.55%
• 495 to 600 = 0.05% each, up to 61.8%

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:-6.148+0.02\left|A_{rmorRating}--300\right|,-12 \le A_{rmorRating}<-4:-0.388+0.015\left|A_{rmorRating}--12\right|,-4 \le A_{rmorRating}<6:-0.268+0.012\left|A_{rmorRating}--4\right|,6 \le A_{rmorRating}<12:-0.148+0.013\left|A_{rmorRating}-6\right|,12 \le A_{rmorRating}<20:-0.07+0.014\left|A_{rmorRating}-12\right|,20 \le A_{rmorRating}<75:0.042+0.001\left|A_{rmorRating}-20\right|,75 \le A_{rmorRating}<95:0.124+0.002\left|A_{rmorRating}-75\right|,95 \le A_{rmorRating}<115:0.155+0.002\left|A_{rmorRating}-95\right|,115 \le A_{rmorRating}<135:0.185+0.001\left|A_{rmorRating}-115\right|,135 \le A_{rmorRating}<155:0.214+0.001\left|A_{rmorRating}-135\right|,155 \le A_{rmorRating}<175:0.242+0.001\left|A_{rmorRating}-155\right|,175 \le A_{rmorRating}<195:0.27+0.001\left|A_{rmorRating}-175\right|,195 \le A_{rmorRating}<215:0.295+0.001\left|A_{rmorRating}-195\right|,215 \le A_{rmorRating}<235:0.321+0.001\left|A_{rmorRating}-215\right|,235 \le A_{rmorRating}<255:0.344+0.001\left|A_{rmorRating}-235\right|,255 \le A_{rmorRating}<275:0.367+0.001\left|A_{rmorRating}-255\right|,275 \le A_{rmorRating}<295:0.39+0.001\left|A_{rmorRating}-275\right|,295 \le A_{rmorRating}<315:0.41+0.001\left|A_{rmorRating}-295\right|,315 \le A_{rmorRating}<335:0.43+0.001\left|A_{rmorRating}-315\right|,335 \le A_{rmorRating}<355:0.45+0.001\left|A_{rmorRating}-335\right|,355 \le A_{rmorRating}<375:0.468+0.001\left|A_{rmorRating}-355\right|,375 \le A_{rmorRating}<395:0.484+0.001\left|A_{rmorRating}-375\right|,395 \le A_{rmorRating}<415:0.5+0.001\left|A_{rmorRating}-395\right|,415 \le A_{rmorRating}<435:0.515+0.001\left|A_{rmorRating}-415\right|,435 \le A_{rmorRating}<455:0.529+0.001\left|A_{rmorRating}-435\right|,455 \le A_{rmorRating}<475:0.542+0.001\left|A_{rmorRating}-455\right|,475 \le A_{rmorRating}<495:0.554+0.001\left|A_{rmorRating}-475\right|,495 \le A_{rmorRating}<600:0.566+0\left|A_{rmorRating}-495\right|\right\}

See Example for how to use.