Equation 24 · Part 9 · What an AI Accelerator Actually Is: Silicon, Packaging, and the Memory It Can Reach
Numerator: B_weights + B_kv
What this part means
The complete quantity above the fraction bar.
Its job in the formula
eights + v occurs above the fraction bar. The numerator is divided by the entire denominator below it.
Full expression→Numerator: B_weights + B_kv→Article meaning
The passage around this formula
Bandwidth-limited throughput is the regime where achieved FLOPS is irrelevant because I is the binding term. Autoregressive decoding in a served language model is the clearest case: generating a single token requires streaming the model weights and the accumulated key-value cache out of memory, and performs only a small number of operations per byte read. The time per decoding step obeys . a floor set entirely by memory traffic, in which peak arithmetic does not appear. This is why batching improves throughput so dramatically — the same weight bytes are amortised across many sequences, raising I — and why it does not improve single-stream latency at all.
Learn the underlying idea
A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.
Open the illustrated fractions: division written vertically guide →
Sources cited in the article section
These citations provide research context; check each source for the exact claim it supports.