Equation 12 · Part 3 · What the Machine Breakers Actually Wanted
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What this part means
Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.
Its job in the formula
Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.
Full expression→change→Article meaning
The passage around this formula
where tasks are indexed by x , s(x) is the value-added share of task x , I is the automation frontier below which capital performs the task, N is the upper edge of the task space where new tasks appear, and scales the induced demand from higher output. The expression is illustrative of the structure rather than a reproduction of any published estimating equation; the substantive claim it encodes is that the sign of L is not determined by the size of I alone.
Learn the underlying idea
Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.
Open the illustrated addition and subtraction in an equation guide →
Sources cited in the article section
- [10] Automation and New Tasks: How Technology Displaces and Reinstates Labor ↗
- [11] The Race between Man and Machine: Implications of Technology for Growth, Factor Shares, and Employment ↗
- [12] Tasks, Automation, and the Rise in U.S. Wage Inequality ↗
- [19] New Frontiers: The Origins and Content of New Work, 1940-2018 ↗
These citations provide research context; check each source for the exact claim it supports.