Equation 13 · Part 9 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

Numerator: c_L(s) - c_A(s)

\pi_s = \frac{c_L(s) - c_A(s)}{c_L(s)}

c_L(s) - c_A(s)

What this part means

The complete quantity above the fraction bar.

Its job in the formula

$c_L(s)$ - $c_A(s)$ occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Full expressionNumerator: c_L(s) - c_A(s)Article meaning

The passage around this formula

where $\alpha_s$ is the baseline economic share of task s and $\pi_s$ = $\frac{c_L(s) - c_A(s)}{c_L(s)}$ 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

[2] The Simple Macroeconomics of AI ↗

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