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Equation 11 · Part 3 · Who Builds 2100? The Demographic Engine of Technological Evolution

Symbol g_S

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

What this part means

the growth rate of human research labor, exactly as before.

Its job in the formula

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

Where the article explains it

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 attention ever more narrowly on the residual problems machines cannot yet touch while machines handle a growing share of the rest [ 6 ] .

The passage around this formula

…research population, discounted by diminishing returns — matching what 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…

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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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