Equation 8 · Part 1 · Serving a Frontier Model: The KV Cache, Batching, and What a Token Actually Costs
Symbol N
What this part means
N 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
N is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol N→Article meaning
The passage around this formula
Now count the work. Generating a single token for a single request performs roughly 2N floating-point operations for N parameters, while requiring that all N parameters plus the request’s cache be read from memory. The arithmetic intensity — operations per byte moved — is therefore close to one, which is one to two orders of magnitude below the ratio at which modern accelerators become compute bound. The hardware…
Learn the underlying idea
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.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.