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n/pn/p

Why this formula appears here

Consider the two canonical all-reduce algorithms. A ring arranges participants in a cycle and performs a reduce-scatter followed by an all-gather, each in p-1 steps carrying n/p bytes:

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nn

Symbol n

n 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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pp

Symbol p

p 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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n/pn/p

Equation 14 · AI Hardware & Semiconductors

The Network Is the Computer Again

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

Consider the two canonical all-reduce algorithms. A ring arranges participants in a cycle and performs a reduce-scatter followed by an all-gather, each in p-1 steps carrying n/p bytes:

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