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Equation 4 · Part 1 · A Timeline of xAI, Grok, and Colossus

Symbol g

g=21/92−1≈0.0076,g = 2^{1/92} - 1 \approx 0.0076,
gg

What this part means

g is part of the quantity the equation computes from the expression on the right.

Its job in the formula

g is part of the quantity the equation computes from the expression on the right.

The passage around this formula

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 g=21/92−1≈0.0076g = 2^{1/92} - 1 \approx 0.0076. 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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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.