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Equation 23 · AI Feeds on the Distance Between an Intention and an Outcome

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hth_t

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the independently measured human task horizon in active minutes, not the number of agent tool calls. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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hth_t

Symbol h_t

the independently measured human task horizon in active minutes, not the number of agent tool calls.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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What the article says around this equation

An intention gap is a task measurement. An agent niche is a performance region conditioned on a budget. Let hth_t denote the independently measured human task horizon in active minutes, not the number of agent tool calls. This follows the useful discipline in HCAST and the time-horizon work: human duration can calibrate a task scale, although it is not a complete measure of what the task means [ 5 , 4 ] . Keep hth_t separate from KtK_t . A task can have many consequential transitions and still take little expert time; a task can take hours because of a slow feedback loop while making few intention choices.

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