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Equation 3 · Part 1 · A Rising FLOPs-per-Byte Ratio Explains Why Nvidia Split the Chip in Two

Symbol R_n

RnR_n
RnR_n

What this part means

the not flops per second call it.

Its job in the formula

RnR_n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

The Ratio Doing the Actual Work: FLOPs per Byte, Not FLOPs per Second Call it RnR_n : the FLOPs-per-second a GPU’s tensor cores can deliver, divided by the bytes-per-second its memory subsystem can supply.

The passage around this formula

…and starts being compute-bound — throughput is capped by bytes moved, not by tensor-core count, and every FLOP of purchased silicon sitting past that ceiling is, for that workload, silicon paid for and not used. A rising RnR_n does not by itself say anything about whether real workloads are keeping pace with it. It says that the ceiling keeps climbing, and that whatever a chip’s design target is, its designers are betting on workloads with steadily higher arithmetic intensity to justify building it. Six generations…

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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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Sources cited in the article section

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