Symbol g
g is part of the quantity the equation computes from the expression on the right.
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Why this formula appears here
Read instead as a constant compounding rate — the assumption implicit whenever a “doubled again” claim is extrapolated forward — the same ninety-two-day doubling implies a daily multiplicative growth rate g solving (1+g)^{92} = 2 , or . about 0.76% per day. The two models diverge sharply once projected beyond the period they were actually measured over, and neither xAI’s announcements nor most press coverage specifies which one a given “doubling” claim is meant to imply. That ambiguity is worth naming explicitly rather than silently resolving in whichever direction makes the number more dramatic.
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Equation 4 · AI Industry
A Timeline of xAI, Grok, and Colossus
This equation gives an approximation: it relates the quantities while allowing an approximation.
Read instead as a constant compounding rate — the assumption implicit whenever a “doubled again” claim is extrapolated forward — the same ninety-two-day doubling implies a daily multiplicative growth rate g solving (1+g)^{92} = 2 , or . about 0.76% per day. The two models diverge sharply once projected beyond the period they were actually measured over, and neither xAI’s announcements nor most press coverage specifies which one a given “doubling” claim is meant to imply. That ambiguity is worth naming explicitly rather than silently resolving in whichever direction makes the number more dramatic.
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