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Equation 17 · Part 1 · How AI Accelerator Architecture Actually Works

Symbol r

rr
rr

What this part means

r 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

r 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

As the streamed sequence L grows large relative to the array’s dimensions, η\eta approaches one and the fill-and-drain overhead becomes negligible. But when L is comparable to r and c — a small batch, a short sequence, a matrix dimension that barely exceeds the array’s own size — the overhead is not a rounding error, it is a large fraction of every pass through the array. This is a simplified model, not a specification of any one vendor’s pipeline, but it is the same…

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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 surrounding passage

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