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Equation 12 · Part 1 · OpenAI Model Systems from First Principles: Weights, Post-Training, and Inference Compute

Symbol L_infty

L∞L_\infty
L∞L_\infty

What this part means

the irreducible floor.

Its job in the formula

LiL_infty 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

has an irreducible floor L∞L_\infty and diminishing returns above it.

The passage around this formula

has an irreducible floor L∞L_\infty and diminishing returns above it. Doubling N buys a fixed decrement in loss, not a fixed multiple of capability.

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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