Equation 16 · Part 11 · The Jagged Frontier Fallacy: Deconstructing Harvard's Canonical AI Productivity Study
Numerator: c_L(s) - [c_draft(s) + c_audit(s)]
What this part means
The complete quantity above the fraction bar.
Its job in the formula
- [raft(s) + udit(s)] occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Numerator: c_L(s) - [c_draft(s) + c_audit(s)]→Article meaning
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: . 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.
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
These citations provide research context; check each source for the exact claim it supports.