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Equation 13 · Part 5 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

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πs=cL(s)−cA(s)cL(s)\pi_s = \frac{c_L(s) - c_A(s)}{c_L(s)}
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

where αs\alpha_s is the baseline economic share of task s and πs\pi_s = cL(s)−cA(s)cL(s)\frac{c_L(s) - c_A(s)}{c_L(s)} represents the proportional cost reduction achieved on that task [ 2 ] .

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

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