← All parts of this equation

Equation 32 · Part 1 · OpenAI Model Systems from First Principles: Weights, Post-Training, and Inference Compute

Symbol θ

θ\theta
θ\theta

What this part means

the weights.

Its job in the formula

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

Where the article explains it

with weights θ\theta , reasoning effort e , prompt and decoding configuration P\mathcal{P} , evaluation harness H\mathcal{H} , serving stack S\mathcal{S} , and date t .

The passage around this formula

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

Read this part in the article →

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.

Open the illustrated variables: a letter stands for a value guide →

See this notation across published equations →

The article lists its research sources here.