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Equation 11 · Part 2 · Who Builds 2100? The Demographic Engine of Technological Evolution

Symbol g_C

gA=gC+gS1−ϕg_A = \frac{g_C + g_S}{1-\phi}
gCg_C

What this part means

gCg_C occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

gCg_C occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

…they describe as the original point of Jones’s 1995 model [ 6 ] . Automation changes the equation by adding a second term: gA=gC+gS1−ϕg_A = \frac{g_C + g_S}{1-\phi}. where gSg_S is the growth rate of human research labor, exactly as before, and gCg_C is a new term generated by the continuous automation of research tasks — one that can be strictly positive even when gSg_S is zero, because a fixed number of human researchers can still be automated onto an exponentially shrinking share of remaining, not-yet-automated tasks, concentrating human…

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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.

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Sources cited in the surrounding passage

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