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Equation 2 · Part 1 · The Economics and Physical Limits of Running AI Agents at Scale

Symbol τ

τ\tau
τ\tau

What this part means

τ 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

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

The passage around this formula

Call this fixed component τ\tau . It is paid once per step, in full, every step, for as long as the loop runs — the toll is the same on step one hundred as on step one, whether or not that step’s own contribution to the task is large or trivial. Over many steps, a workload that defines five tools and uses one on a given turn is still paying the fixed tax for all five, every turn; narrowing the tool set narrows τ\tau , but nothing the model does at inference time avoids it.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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