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Equation 7 · Part 9 · The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter

subscript

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

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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 subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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