Equation 38 · Part 1 · OpenAI Model Systems from First Principles: Weights, Post-Training, and Inference Compute

Symbol s

s

s

What this part means

the observed score.

Its job in the formula

s is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol sArticle meaning

Where the article explains it

An observed score s is produced by s = f( $\theta$ ,\ e,\ $\mathcal{P}$ ,\ $\mathcal{H}$ ,\ $\mathcal{S}$ ,\ t), with weights $\theta$ , reasoning effort e , prompt and decoding configuration $\mathcal{P}$ , evaluation harness $\mathcal{H}$ , serving stack $\mathcal{S}$ , and date t .

The passage around this formula

with weights $\theta$ , reasoning effort e , prompt and decoding configuration $\mathcal{P}$ , evaluation harness $\mathcal{H}$ , serving stack $\mathcal{S}$ , and date t . A published number fixes s and usually reports only part of $\theta$ and t . The system is underdetermined : many configurations produce the same score, and the same configuration produces different scores on different dates.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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