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Equation 7 · Part 1 · The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter

Symbol B

B(b,s)≈Np+b Mkv(s),B(b,s) \approx Np + b\,M_{\mathrm{kv}}(s),
BB

What this part means

B 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

B 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

read in full every step for every active request. Total bytes moved per step across a batch of b requests at sequence length s is therefore approximately B(b,s)≈Np+b Mkv(s)B(b,s) \approx Np + b\,M_{\mathrm{kv}}(s). and the achievable step rate is B divided into the device’s usable bandwidth. Two things follow immediately.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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