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Equation 7 · Part 1 · How AI Inference Economics Actually Work

Symbol U

UU
UU

What this part means

U is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

U is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Here CfixedC_{\text{fixed}} is the amortized hardware and facility cost per unit time, CenergyC_{\text{energy}} the energy cost per unit time, Tmax⁡T_{\max} the chip’s maximum achievable token throughput under ideal batching, U ∈\in (0,1] the realized utilization fraction, and m a margin term. This is not a model any provider discloses or that this article claims to have measured; it is a bookkeeping identity stated to make one point precisely: U appears in the denominator, so it multiplies with, rather than merely adds…

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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

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