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Equation 8 · Part 1 · Context Window Size Versus What a Frontier Model Can Actually Recall From It

Symbol L_eff

Leff(τ)L_{\mathrm{eff}}(\tau)
LeffL_{\mathrm{eff}}

What this part means

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.

Its job in the formula

LeL_eff 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

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 passage around this formula

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.

Read this part in the article →

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.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.