Library: Difference between revisions

Library
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	Building ID: melvorF:Library
	Requirements:; Error creating thumbnail: File missing Level 35; Error creating thumbnail: File missing 2,500
	Base Cost: 8,200 Error creating thumbnail: File missing, 700 Error creating thumbnail: File missing, 450 Error creating thumbnail: File missing
	Maximum Built:; 100
	Provides:; Error creating thumbnail: File missing +0.25,
	Biomes:; Grasslands

Latest revision as of 06:56, 2 January 2024

The Library is a

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Township

building that increases

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Education

, which in turn increases resource production additively with other production bonuses.

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Error creating thumbnail: File missing Population	Error creating thumbnail: File missing Basic Shelter • Error creating thumbnail: File missing Wooden Hut • Error creating thumbnail: File missing House • Error creating thumbnail: File missing Cottage • Error creating thumbnail: File missing Large Cottage • Error creating thumbnail: File missing Manor • Error creating thumbnail: File missing Estate
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Error creating thumbnail: File missing Happiness	Error creating thumbnail: File missing Tavern • Error creating thumbnail: File missing Gardens
Error creating thumbnail: File missing Education	Error creating thumbnail: File missing School • Error creating thumbnail: File missing Large School • Error creating thumbnail: File missing Academy • Error creating thumbnail: File missing Large Academy • Error creating thumbnail: File missing Library
Error creating thumbnail: File missing Worship	Error creating thumbnail: File missing Chapel • Error creating thumbnail: File missing Error creating thumbnail: File missing Error creating thumbnail: File missing Error creating thumbnail: File missing Error creating thumbnail: File missing Error creating thumbnail: File missing Error creating thumbnail: File missing Statue of Worship
Error creating thumbnail: File missing Trading	Error creating thumbnail: File missing Trading Post • Error creating thumbnail: File missing Prats Hats • Error creating thumbnail: File missing Malcs Cats • Error creating thumbnail: File missing Cool Rocks
Food	Error creating thumbnail: File missing Farmland • Error creating thumbnail: File missing Plantation • Error creating thumbnail: File missing Mill • Error creating thumbnail: File missing Farming Estate • Error creating thumbnail: File missing Fishermans Dock • Error creating thumbnail: File missing Fishermans Pier • Error creating thumbnail: File missing Fishermans Port • Error creating thumbnail: File missing Fishermans Estate • Error creating thumbnail: File missing Orchard • Error creating thumbnail: File missing Market
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Error creating thumbnail: File missing Stone, Error creating thumbnail: File missing Ore & Coal	Error creating thumbnail: File missing Miners Pit • Error creating thumbnail: File missing Miners Field • Error creating thumbnail: File missing Miners Quarry • Error creating thumbnail: File missing Miners Estate
Bar	Error creating thumbnail: File missing Blacksmiths Smithy • Error creating thumbnail: File missing Blacksmiths Workshop • Error creating thumbnail: File missing Blacksmiths Forge • Error creating thumbnail: File missing Blacksmiths Estate
Rune Essence	Error creating thumbnail: File missing Magic Emporium
Herbs	Error creating thumbnail: File missing Gatherers Hut • Error creating thumbnail: File missing Gatherers Lodge • Error creating thumbnail: File missing Gatherers Villa • Error creating thumbnail: File missing Gatherers Estate
Error creating thumbnail: File missing Potions	Error creating thumbnail: File missing Herbalist • Error creating thumbnail: File missing Infirmary • Error creating thumbnail: File missing Healing Centre • Error creating thumbnail: File missing Hospital
Leather	Error creating thumbnail: File missing Hunters Cabin • Error creating thumbnail: File missing Hunters Lodge • Error creating thumbnail: File missing Hunters Villa • Error creating thumbnail: File missing Hunters Estate
Clothing	Error creating thumbnail: File missing Tailor • Error creating thumbnail: File missing Clothier • Error creating thumbnail: File missing Outfitter • Error creating thumbnail: File missing Clothiers Estate
Other	Error creating thumbnail: File missing Cemetery • Error creating thumbnail: File missing Town Hall • Error creating thumbnail: File missing Lemvor Lemon Stall
Gateway	Error creating thumbnail: File missing Abyssal Gateway
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Error creating thumbnail: File missing Armour & Weaponry	Error creating thumbnail: File missing Armourer I • Error creating thumbnail: File missing Armourer II • Error creating thumbnail: File missing Armourer III • Error creating thumbnail: File missing Armourer I • Error creating thumbnail: File missing Armourer IV • Error creating thumbnail: File missing Weaponsmith I • Error creating thumbnail: File missing Weaponsmith II • Error creating thumbnail: File missing Weaponsmith III • Error creating thumbnail: File missing Weaponsmith IV
Error creating thumbnail: File missing Abyssal Stone	Error creating thumbnail: File missing Abyssal Harvester I • Error creating thumbnail: File missing Abyssal Harvester II • Error creating thumbnail: File missing Abyssal Harvester III
Error creating thumbnail: File missing Reinforced Planks	Error creating thumbnail: File missing Reinforced Carpenter I • Error creating thumbnail: File missing Reinforced Carpenter II • Error creating thumbnail: File missing Reinforced Carpenter III
Error creating thumbnail: File missing Obsidian	Error creating thumbnail: File missing Obsidian Mines • Error creating thumbnail: File missing Obsidian Quarry • Error creating thumbnail: File missing Obsidian Blaster
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Error creating thumbnail: File missing Voidfire Ash	Error creating thumbnail: File missing Fire Pit • Error creating thumbnail: File missing Bonfire • Error creating thumbnail: File missing Voidfire Beacon
Abyssal Buffs	Error creating thumbnail: File missing Abyssal Enhancer • Error creating thumbnail: File missing Abyssal Research Lab • Error creating thumbnail: File missing Slayer Research Lab • Error creating thumbnail: File missing Abyssal Combat Lab

@@ Line 1: / Line 1: @@
-{{V|1.1.1}}
+{{V}}
 {{BuildingBox}}
-The '''{{PAGENAME}}''' is a [[Township]] building that increases {{Icon|Education|type=township}}. The percentage is applied to the current {{Icon|Education|type=township}} amount, and is NOT applied to the maximum {{Icon|Education|type=township}}. For the maximum {{Icon|Education|type=township}} with the fewest buildings, the {{BuildingIcon|Library}} should only be built once 100 {{BuildingIcon|School}}-type buildings have already been built. After that, the buildings should be built in a 1:1 ratio: e.g. 106 {{BuildingIcon|Academy}} and 6 {{BuildingIcon|Library|nolink=true}}.
+The '''{{PAGENAME}}''' is a {{Skill|Township}} building that increases {{Icon|Education|type=township}}, which in turn increases resource production additively with other production bonuses.
-<!--
-Equation source/proof
-School = Number of School buildings
-Bonus = Education from 1 School building = 15, 35, 75 or 100
-Library = Number of Library buildings
-M = Modifier from 1 Library building = 1 (+1% Education per Library building)
-Total = Total number of education buildings
-Education = Total education
-) Total = School + Library
-) Education = Bonus*School*(100+M*Library)/100
-Put both equations together and simplify
-Education = Bonus*School*(100+M*(Total - School))/100
-Education = Bonus*(100+M*Total)/100*School - M*Bonus/100*School^2
-Take derivative of Education with respect to School
-The maximum education is when the derivative is = 0
-dEducation/dSchool = Bonus*(100+M*Total)/100 - 2*M*Bonus/100*School
-= Bonus*(100+M*Total) - 2*M*Bonus/100*School
-*M*Bonus/100*School = Bonus*(100+M*Total)/100
-) 2*M*School = 100+M*Total
-Since M = 1, this simplifies to
-School = (100+Total)/2
-----------
-Substituting 1) and 3) together
-*M*School = 100+M*Total
-Total = (2*M*School - 100)/M = School + Library
-*School - 100/M = School + Library
-) School = Library + 100/M
-----------
-To derive the number of School and Library buildings from a desired total education
-) Total = School + Library
-) Education = Bonus*School*(100+M*Library)/100
-) 2*M*School = 100+M*Total
-) School = Library + 100/M
-Substituting 2) and 4) together
-Education = Bonus*School*(100+M*Library)/100
-Education = Bonus*School*(100+M*(School - 100/M))/100
-Education = Bonus*School*(100+M*School-100)/100
-Education = Bonus*School*(M*School)/100
-Education = Bonus*M*School^2/100
-School = sqrt(100/Bonus/M * Education)
-Since M = 1, this simplifies to
-School = sqrt(100/Bonus * Education)
--->
-When more than 100 buildings are required, to calculate the optimal number of each building from a total {{Icon|Education|type=township}}, the following equations can be used:<br>
-<math>\textrm{Bonus} = \textrm{Education per School-type building} = 15, 35, 75 \textrm{ or } 100</math><br>
-<math>\textrm{School building count} = \sqrt{\frac{100}{\textrm{Bonus}}\textrm{Education}}</math><br>
-<math>\textrm{Library count} = \textrm{School count} - 100</math>
 {{TownshipBuildingUpgrades}}
 {{TownshipBuildingNav}}
 {{Menu}}

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Latest revision as of 06:56, 2 January 2024

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