Equation 8 · The EV Formula Is an Exact Production Function Trainers Solved by Accident
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the sum of each individual stat’s remainder modulo four. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
The staircase structure has a direct consequence for how much of the 510-point budget can ever do anything at all. The number of stat points any single invested value E buys is E/4 , which equals (E - (E 4))/4 . Summed across however many stats receive investment, total stat points bought equals (510 - R)/4 , where R is the sum of each individual stat’s remainder modulo four. Since 510 itself leaves a remainder of 2 when divided by 4, R must also be congruent to 2 modulo 4 for every point of the 510-point budget to be accounted for — and the smallest non-negative value satisfying that congruence is R = 2 . Plug that floor into the equation: the maximum number of stat…
Read the full surrounding passage
The staircase structure has a direct consequence for how much of the 510-point budget can ever do anything at all. The number of stat points any single invested value E buys is E/4 , which equals (E - (E 4))/4 . Summed across however many stats receive investment, total stat points bought equals (510 - R)/4 , where R is the sum of each individual stat’s remainder modulo four. Since 510 itself leaves a remainder of 2 when divided by 4, R must also be congruent to 2 modulo 4 for every point of the 510-point budget to be accounted for — and the smallest non-negative value satisfying that congruence is R = 2 . Plug that floor into the equation: the maximum number of stat points any spread of a full 510-point budget can ever buy is (510-2)/4 = 127 , full stop, regardless of which six stats receive the investment or in what proportion. Spending the entire budget and ending up with fewer than 127 stat points bought is not a stylistic choice. It is a leak.
Sources cited in the article section
These citations give research context. Read each source to check which claims it supports.
Return to The EV Formula Is an Exact Production Function Trainers Solved by Accident