Equation 15 · The EV Formula Is an Exact Production Function Trainers Solved by Accident
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Symbol f
f is part of the quantity the equation computes from the expression on the right.
Symbol y
y is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.
=
The expressions on both sides represent the same quantity under the stated assumptions.
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What the article says around this equation
Hitting the 127-point ceiling says nothing yet about which stats should receive the investment — that answer depends on what the spread is actually for. For the Swords Dance set’s job, sweeping through a metagame’s Speed tiers with a boosted physical attack, I define a proposed measure I will call the sweep index: the product of a Pokémon’s final Attack stat and its final Speed stat. This is not an official in-game statistic; it is this article’s own construct, chosen because a physical sweeper that hits hard but moves last contributes nothing, a sweeper that moves first but hits softly contributes little, and a product (rather than a sum) captures that the two failure modes compound rather…
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Hitting the 127-point ceiling says nothing yet about which stats should receive the investment — that answer depends on what the spread is actually for. For the Swords Dance set’s job, sweeping through a metagame’s Speed tiers with a boosted physical attack, I define a proposed measure I will call the sweep index: the product of a Pokémon’s final Attack stat and its final Speed stat. This is not an official in-game statistic; it is this article’s own construct, chosen because a physical sweeper that hits hard but moves last contributes nothing, a sweeper that moves first but hits softly contributes little, and a product (rather than a sum) captures that the two failure modes compound rather than merely add. Writing x for invested Attack EVs and y for invested Speed EVs and relaxing the two internal floors to their continuous approximation for tractability, Garchomp’s Jolly-natured sweep index becomes f(x,y) = (296+x/4)(264+0.275y) , and maximizing it subject to a shared budget x+y=B through a Lagrangian
Sources cited in the article section
- [7] Generation 9 OU moveset data (Garchomp: TankChomp, Swords Dance) ↗
- [9] Generation 9 OU written analysis (Garchomp) ↗
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