Symbol in context

$L_{\mathrm{eff}}$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Meanings in context

Article-grounded definition

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.

Read equation 6 in Context Window Size Versus What a Frontier Model Can Actually Recall From It →

Used in 2 equations

L_{\mathrm{eff}}(\tau) = \max\left\{\, n \le W \ :\ S(n) \ge \tau \cdot S_0 \,\right\}

Context Window Size Versus What a Frontier Model Can Actually Recall From It · Equation 6

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

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L_{\mathrm{eff}}(\tau)

Context Window Size Versus What a Frontier Model Can Actually Recall From It · Equation 8

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