Equation 1 · How Grok and Colossus Actually Work, as Far as the Record Shows
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This equation gives an approximation: it relates the quantities while allowing an approximation. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol P_nameplate
ameplate is part of the quantity the equation computes from the expression on the right.
Symbol N_1
is one factor in the product that computes the quantity on the left.
Symbol P_GPU
PU is one factor in the product that computes the quantity on the left.
=
The expressions on both sides represent the same quantity under the stated assumptions.
See an illustrated explanation →subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
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.
What the article says around this equation
That reported 250-megawatt figure is worth pausing on, because a naive back-of-envelope estimate from the chips alone comes out much lower. Nvidia’s own datasheet lists the H100 SXM5 module’s maximum thermal design power at 700 watts [ 5 ] . Multiplying that by the disclosed size of the original cluster gives the accelerators’ own nameplate draw at launch: . Independently reported total generating capacity at the site during roughly that period ran several times higher than that — on the order of 570 megawatts once a documented 150-megawatt grid connection (below) is added to the roughly 420 megawatts of turbine capacity litigants and reporters separately counted on the…
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That reported 250-megawatt figure is worth pausing on, because a naive back-of-envelope estimate from the chips alone comes out much lower. Nvidia’s own datasheet lists the H100 SXM5 module’s maximum thermal design power at 700 watts [ 5 ] . Multiplying that by the disclosed size of the original cluster gives the accelerators’ own nameplate draw at launch: . Independently reported total generating capacity at the site during roughly that period ran several times higher than that — on the order of 570 megawatts once a documented 150-megawatt grid connection (below) is added to the roughly 420 megawatts of turbine capacity litigants and reporters separately counted on the ground (also below). None of that gap is evidence that either figure is wrong. It is what a real facility looks like once CPUs, memory, storage, networking gear and — above all — liquid-cooling infrastructure are added on top of the accelerators themselves, and once generation is sized with reserve margin rather than run flat to nameplate. The arithmetic is offered here for exactly that reason: to show why “GPU count” and “site power” cannot be inferred from one another without the buildout details neither company nor litigant fully discloses.
Sources cited in the surrounding passage
These citations give research context. Read each source to check which claims it supports.
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