Equation 2 · Part 1 · Context Window Size Versus What a Frontier Model Can Actually Recall From It
Symbol S
What this part means
S is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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 expression→Symbol S→Article meaning
The passage around this formula
Put the documentation and the independent benchmarks side by side and a pattern emerges that is more informative than any single score. Formalise the distinction the whole comparison rests on: let W be the context window a vendor documents for a given model, a fixed engineering figure set by attention implementation, position encoding, and what the serving stack supports. Let S(n) be some benchmark’s measured accuracy at input length n W , and the same benchmark’s accuracy at a short reference length. For a chosen retention threshold , define the effective context length as
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A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
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