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Equation 2 · Part 1 · AI Accelerator Architecture in Practice: An Advanced Technical Guide

Symbol N

NN
NN

What this part means

N 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

N 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

where N is the device count, PdeviceP_{\mathrm{device}} is a single device’s measured (not advertised) throughput on the actual workload, UsustainedU_{\mathrm{sustained}} is the utilization fraction observed over a representative multi-hour or multi-day window rather than a benchmark’s best run, and A is availability — the fraction of time the fleet is actually up and assigned to the job rather than down for failure, repair, or checkpoint recovery. Treating A as 1 is the single most common capacity-planning error, and it is the one large-scale operators are most explicit about correcting for.

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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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