Ability Range: Difference between revisions

Line 6:

== 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%.

~~=== Calculating Ability Range ===~~

<math>\text{Effective Ability Range bonus} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>

~~Multiple sources of Ability Range stack '''multiplicatively''', not additively:~~

<math>\text{~~Total~~ Ability Range} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>

'''Example:'''

With '''35%''' from {{ItemIcon|Greater Expansion}} and '''10%''' from {{ItemIcon|Divine Barrier}}:

# Convert percentages to decimals: 0.35 and 0.10.

# ~~Subtract from~~ 1: (1 - 0.35) = '''0.65''' and (1 - 0.10) = '''0.90'''.

# Take the complement with 1: (1 - 0.35) = '''0.65''' and (1 - 0.10) = '''0.90'''.

# Multiply the ~~differences~~: 0.65 × 0.90 = '''0.585'''.

# Multiply the complements: 0.65 × 0.90 = '''0.585'''.

# ~~Subtract from~~ 1: 1 - 0.585 = '''0.415'''.

# Take the complement with 1: 1 - 0.585 = '''0.415'''.

# ~~Total~~ Ability Range bonus is approximately '''41.5%''', not 45%.

# Effective Ability Range bonus is approximately '''41.5%''', not 45%.

Of note is that

== Sources of Ability Range ==

Ability Range: Difference between revisionsGive feedback

~2026-RegenHideBebop921 (talk)

@@ Line 6: / Line 6: @@
 == 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%.
-=== Calculating Ability Range ===
+<math>\text{Effective Ability Range bonus} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>
-Multiple sources of Ability Range stack '''multiplicatively''', not additively:
-<math>\text{Total Ability Range} = 1 - (1 - R_1) \times (1 - R_2) \dots</math>
 '''Example:'''
 With '''35%''' from {{ItemIcon|Greater Expansion}} and '''10%''' from {{ItemIcon|Divine Barrier}}:
 # Convert percentages to decimals: 0.35 and 0.10.
-# Subtract from 1: (1 - 0.35) = '''0.65''' and (1 - 0.10) = '''0.90'''.
+# Take the complement with 1: (1 - 0.35) = '''0.65''' and (1 - 0.10) = '''0.90'''.
-# Multiply the differences: 0.65 × 0.90 = '''0.585'''.
+# Multiply the complements: 0.65 × 0.90 = '''0.585'''.
-# Subtract from 1: 1 - 0.585 = '''0.415'''.
+# Take the complement with 1: 1 - 0.585 = '''0.415'''.
-# Total Ability Range bonus is approximately '''41.5%''', not 45%.
+# Effective Ability Range bonus is approximately '''41.5%''', not 45%.
+Of note is that
 == Sources of Ability Range ==