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Equation 16 · Part 9 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study

subtraction

πs=cL(s)−[cdraft(s)+caudit(s)]cL(s)≪0.40.\pi_s = \frac{c_L(s) - [c_{\text{draft}}(s) + c_{\text{audit}}(s)]}{c_L(s)} \ll 0.40.
subtraction

What this part means

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

Its job in the formula

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

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: πs=cL(s)−[cdraft(s)+caudit(s)]cL(s)≪0.40\pi_s = \frac{c_L(s) - [c_{\text{draft}}(s) + c_{\text{audit}}(s)]}{c_L(s)} \ll 0.40. 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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Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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