Equation 12 · Part 1 · OpenAI Model Systems from First Principles: Weights, Post-Training, and Inference Compute
Symbol L_infty
What this part means
the irreducible floor.
Its job in the formula
nfty is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol L_infty→Article meaning
Where the article explains it
has an irreducible floor and diminishing returns above it.
The passage around this formula
has an irreducible floor and diminishing returns above it. Doubling N buys a fixed decrement in loss, not a fixed multiple of capability.
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
- [4] Attention Is All You Need ↗
- [5] Scaling Laws for Neural Language Models ↗
- [6] Training Compute-Optimal Large Language Models ↗
These citations provide research context; check each source for the exact claim it supports.