Equation 13 · Part 8 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

subscript

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

subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

Full expressionsubscriptArticle 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 subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

[2] The Simple Macroeconomics of AI ↗

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