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Equation 1 · The EV Formula Is an Exact Production Function Trainers Solved by Accident

What does this equation mean?

S=⌊(⌊(2B+I+⌊E/4⌋)⋅L100⌋+5)⋅N⌋S = \left\lfloor \left( \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + 5 \right) \cdot N \right\rfloor

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.

Start withL
Divide by100
This relates toS
How to read the two sides of this formula. Follow the article passage for the meaning of each quantity.

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.

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SS

Symbol S

S is part of the quantity the equation computes from the expression on the right.

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BB

Symbol B

B is one of the signed contributions combined to compute the quantity on the left.

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II

Symbol I

I is one of the signed contributions combined to compute the quantity on the left.

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EE

Symbol E

E is one of the signed contributions combined to compute the quantity on the left.

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LL

Symbol L

L occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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NN

Symbol N

N is one of the signed contributions combined to compute the quantity on the left.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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fraction

fraction

Divide the expression above the line by the one below it.

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multiplication

multiplication

Multiply the quantities on either side.

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addition

addition

Add the term after the plus sign to the term or group before it.

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100100

Denominator: 100

The complete quantity below the fraction bar; it must be nonzero for this division.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

Since Generation III, every non-HP stat in a modern Pokémon game is produced by one rule: take twice the species’ base stat, add its individual value (an inherited number from 0 to 31, effectively fixed for a competitively bred Pokémon [ 4 ] ), add the floor of its invested effort value divided by four, scale by level over 100 and round down, add five, then multiply by a nature coefficient of 0.9, 1.0, or 1.1 and round down again [ 1 ] : S=⌊(⌊(2B+I+⌊E/4⌋)⋅L100⌋+5)⋅N⌋S = \left\lfloor \left( \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + 5 \right) \cdot N \right\rfloor. HP uses the same inner term but a different outer shell, adding the Pokémon’s level plus ten instead of multiplying by a nature:

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Sources cited in the surrounding passage

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