Equation 12 · Part 4 · The Physical Economics of Inference: Bandwidth, Energy, and the Limits of a Datacenter
multiplication
multiplication
What this part means
Multiply the quantities on either side.
Its job in the formula
Multiply the quantities on either side.
Full expression→multiplication→Article meaning
The passage around this formula
The energy version of the same expression is more useful still. If e is the average energy per byte moved off-chip, energy per token is roughly e B/b — the weight traffic divided across the batch, plus each request’s own cache traffic. Batching therefore improves energy per token steeply at first and then asymptotically, converging on the irreducible per-request cache cost. That asymptote is the floor referred to throughout this article, and only cache-reduction techniques lower it.
Learn the underlying idea
Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.
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