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Equation 5 · Part 3 · What We Still Cannot Do: Open Problems in Frontier Model Systems

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Ptask≈q n,P_{\text{task}} \approx q^{\,n},
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

There is a second, compounding reason, and it is quantitative. Consider a task decomposed into n dependent steps, each completed correctly with probability q , where an uncaught error propagates. Success over the whole task goes as Ptask≈q nP_{\text{task}} \approx q^{\,n}. so the horizon that can be sustained at a target success rate τ\tau is

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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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