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Leff(τ)L_{\mathrm{eff}}(\tau)

Why this formula appears here

W is a documented constant, published on day one of a model’s release, identical no matter who asks. Leff(τ)L_{\mathrm{eff}}(\tau) is a measured variable — specific to a task, a threshold, a benchmark design, and a date — and every result surveyed above shows it running well below W well before W is reached. The two quantities answer different questions, and only one of them is available the moment a model ships.

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LeffL_{\mathrm{eff}}

Symbol L_eff

a measured variable — specific to a task, a threshold, a benchmark design, and a date — and every result surveyed above shows it running well below W well before W is reached.

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τ\tau

Symbol τ

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

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Published contexts (1)

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Leff(τ)L_{\mathrm{eff}}(\tau)

Equation 8 · Model Evaluation

Context Window Size Versus What a Frontier Model Can Actually Recall From It

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

W is a documented constant, published on day one of a model’s release, identical no matter who asks. Leff(τ)L_{\mathrm{eff}}(\tau) is a measured variable — specific to a task, a threshold, a benchmark design, and a date — and every result surveyed above shows it running well below W well before W is reached. The two quantities answer different questions, and only one of them is available the moment a model ships.

Meanings in this article

  • LeffL_{\mathrm{eff}}: a measured variable — specific to a task, a threshold, a benchmark design, and a date — and every result surveyed above shows it running well below W well before W is reached.
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