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Equation 8 · Part 1 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

Symbol y

y(s)y(s)
yy

What this part means

y 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

y 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

where each task y(s) can be performed by labor or by an automated system if that task falls within the feasible automated set A\mathcal{A} . Under Hulten’s theorem, the first-order aggregate TFP cost savings from automating a subset of tasks is bounded by the expenditure share of the automated tasks multiplied by the average unit cost reduction:

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the article section

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