Equation 26 · 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.
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. 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
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
The theorem that 510 points can buy at most 127 stat points is only interesting if it is possible to fail it, and the pkmn/smogon archive of Smogon’s own historical movesets [ 8 ] turns up exactly one Garchomp spread, out of every generation and every competitive tier checked, that does. A Generation 5 Monotype set titled “Defensive Entry Hazard Support (Dragon)” runs 252 HP, 162 Defense, and 94 Speed — 508 total points invested, the same total as both of the currently maintained Generation 9 sets above. But 252/4 + 162/4 + 94/4 = 63+40+23 = 126 , one stat point short of the 127-point ceiling the same 508-point total achieves everywhere else…
Read the full surrounding passage
The theorem that 510 points can buy at most 127 stat points is only interesting if it is possible to fail it, and the pkmn/smogon archive of Smogon’s own historical movesets [ 8 ] turns up exactly one Garchomp spread, out of every generation and every competitive tier checked, that does. A Generation 5 Monotype set titled “Defensive Entry Hazard Support (Dragon)” runs 252 HP, 162 Defense, and 94 Speed — 508 total points invested, the same total as both of the currently maintained Generation 9 sets above. But 252/4 + 162/4 + 94/4 = 63+40+23 = 126 , one stat point short of the 127-point ceiling the same 508-point total achieves everywhere else this article checked. The two points inside its 162 Defense allocation and the two points inside its 94 Speed allocation are each, individually, one short of their own next four-point step; shifting either allocation by two — 164 Defense and 92 Speed, or 160 Defense and 96 Speed, both still summing to 508 — recovers the full 127 points for free, with no change to the total budget spent and no tradeoff against anything else the set is trying to do.
Sources cited in the surrounding passage
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