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Equation 17 · Part 1 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

Symbol σ

σ→0\sigma \to 0
σ\sigma

What this part means

σ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

σ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

When applied to the Harvard BCG findings, Acemoglu’s macroeconomic framework reveals why the study’s 40% performance gains cannot be translated linearly into organizational throughput: σ→0\sigma \to 0. Using rigorous baseline accounting across the United States economy, Acemoglu estimates that generative artificial intelligence will affect no more than 4.6% of total tasks over a ten-year horizon, producing an aggregate TFP increase of less than 0.71% cumulatively over a decade (approximately 0.07% annually) [ 2 ] . The breathless projections of 40% corporate workforce expansion derived from micro-task consulting studies collapse when subjected to rigorous general-equilibrium accounting.

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Sources cited in the surrounding passage

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