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Equation 13 · Part 6 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

fraction

πs=cL(s)−cA(s)cL(s)\pi_s = \frac{c_L(s) - c_A(s)}{c_L(s)}
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

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

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the surrounding passage

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