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Equation 11 · Part 1 · Serving a Frontier Model: The KV Cache, Batching, and What a Token Actually Costs

Symbol b

bb
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

If reading the weights dominates and the weights are read once per step regardless of how many requests are in flight, then serving b requests together costs barely more than serving one. Throughput rises almost linearly in b until something else binds. Pope and colleagues set out this partitioning analysis for large transformers and showed how latency, throughput, and cost trade against one another under different sharding strategies [ 2 ] .

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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