Equation 13 · Part 10 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

Denominator: c_L(s)

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

c_L(s)

What this part means

The complete quantity below the fraction bar; it must be nonzero for this division.

Its job in the formula

$c_L(s)$ is one of the signed contributions combined to compute the quantity on the left.

Full expressionDenominator: c_L(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.

Open the illustrated fractions: division written vertically guide →

Sources cited in the surrounding passage

[2] The Simple Macroeconomics of AI ↗

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