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Published equation contexts

r×cr \times c

Why this formula appears here

Consider an idealised r ×\times c array holding one operand stationary, with a second operand streamed through in a sequence of length L — for instance, L activation vectors passed through a weight-stationary array of r input rows and c output columns. Before the first result emerges, the data has to propagate across the array’s diagonal, costing roughly r + c - 2 cycles; after the last input enters, the same number of cycles is needed to drain the pipeline. Total latency is therefore approximately

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rr

Symbol r

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cc

Symbol c

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

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Published contexts (1)

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r×cr \times c

Equation 4 · Semiconductors

How AI Accelerator Architecture Actually Works

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Consider an idealised r ×\times c array holding one operand stationary, with a second operand streamed through in a sequence of length L — for instance, L activation vectors passed through a weight-stationary array of r input rows and c output columns. Before the first result emerges, the data has to propagate across the array’s diagonal, costing roughly r + c - 2 cycles; after the last input enters, the same number of cycles is needed to drain the pipeline. Total latency is therefore approximately

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