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Equation 9 · Part 1 · Comparing the Main Approaches to AI Inference Economics

Symbol u

u∈(0,1]u \in (0, 1]
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 the break-even arithmetic is genuinely simple, and worth writing down, because it is the one place in this comparison where a clean model — not a ranking of vendors — is possible. Let a reserved commitment cost PrP_r per accelerator-hour, and let the on-demand or serverless rate that would otherwise serve the same throughput cost PdP_d per accelerator-hour at full utilization. If the buyer’s realized utilization of the reserved capacity is u ∈\in (0, 1] , the reserved option is cheaper exactly when

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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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