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m The wording was not correct, it stated to Multiply the remainders, when it should be differences. Remainders is for division problems and would mean a totally different equation. |
Rephrase calculation section to call it 'diminishing returns' instead of 'multiplicative' and to clarify the way it diminishes |
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| Line 6: | Line 6: | ||
== Calculation == | == Calculation == | ||
Multiple sources of Ability Range stack with diminishing returns, rather than multiplicatively or additively. Additional sources of Ability Range contribute less the closer the effective bonus gets to 100%, and the effective bonus can never actually reach 100%. | |||
<math>\text{Effective Ability Range bonus} = 1 - (1 - R_1) \times (1 - R_2) \dots</math> | |||
<math>\text{ | |||
'''Example:''' | '''Example:''' | ||
With '''35%''' from {{ItemIcon|Greater Expansion}} and '''10%''' from {{ItemIcon|Divine Barrier}}: | With '''35%''' from {{ItemIcon|Greater Expansion}} and '''10%''' from {{ItemIcon|Divine Barrier}}: | ||
# Convert percentages to decimals: 0.35 and 0.10. | # Convert percentages to decimals: 0.35 and 0.10. | ||
# | # Take the complement with 1: (1 - 0.35) = '''0.65''' and (1 - 0.10) = '''0.90'''. | ||
# Multiply the | # Multiply the complements: 0.65 × 0.90 = '''0.585'''. | ||
# | # Take the complement with 1: 1 - 0.585 = '''0.415'''. | ||
# | # Effective Ability Range bonus is approximately '''41.5%''', not 45%. | ||
Of note is that | |||
== Sources of Ability Range == | == Sources of Ability Range == | ||