Symbol r
r is part of the quantity the equation computes from the expression on the right.
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Why this formula appears here
xAI announced a doubling of the original cluster to 200,000 GPUs within roughly ninety days of the initial buildout, adding Nvidia H200s alongside the original H100s [ 16 ] . That kind of headline — “doubled in ninety-two days” — is easy to read two different ways, and the difference matters for judging how the next expansion phase should be interpreted. Read as a constant installation rate, doubling 100,000 GPUs to 200,000 over ninety-two days implies roughly . 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…
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Denominator: 92
The complete quantity below the fraction bar; it must be nonzero for this division.
Read this term in its guide →How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction. Its accuracy depends on the assumptions and range of use described in the article. Read it with the definitions, units, and assumptions supplied by the article.
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Published contexts (1)
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Equation 1 · AI Industry
A Timeline of xAI, Grok, and Colossus
This equation gives an approximation: it relates the quantities while allowing an approximation.
xAI announced a doubling of the original cluster to 200,000 GPUs within roughly ninety days of the initial buildout, adding Nvidia H200s alongside the original H100s [ 16 ] . That kind of headline — “doubled in ninety-two days” — is easy to read two different ways, and the difference matters for judging how the next expansion phase should be interpreted. Read as a constant installation rate, doubling 100,000 GPUs to 200,000 over ninety-two days implies roughly . 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…
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