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Published equation contexts

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

Why this formula appears here

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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BB

Symbol B

B 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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bb

Symbol b

b 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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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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MkvM_{\mathrm{kv}}

Symbol M_kv

MkM_kv 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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How to interpret it

Its accuracy depends on the assumptions and range of use described in the article.

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

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

Equation 7 · Foundation Models

The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter

This equation gives an approximation: it relates the quantities while allowing an approximation.

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.

Meanings in this article

  • ss: therefore approximately [displayed formula].
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