Equation 27 · Part 3 · OpenAI Model Systems from First Principles: Weights, Post-Training, and Inference Compute
Symbol k
What this part means
k is part of the quantity the equation computes from the expression on the right.
Its job in the formula
k is part of the quantity the equation computes from the expression on the right.
Full expression→Symbol k→Article meaning
The passage around this formula
The parallel-sampling case makes the shape of the returns explicit. If a single attempt succeeds with probability p and attempts were independent, the probability that at least one of k succeeds is . which is concave in k and saturates quickly. Two caveats destroy any naive extrapolation from it. Attempts from one model on one prompt are strongly correlated, so realised gains fall well below this bound; and is only achievable if something can identify the…
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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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Sources cited in the surrounding passage
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