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Equation 3 · Part 1 · An Optical Fabric Turns Off-Package Memory Into an Extension of the Die

Symbol B

BWBW
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

Here BW is realized, measured random-access bandwidth in bytes per second — not a marketing peak, not a sequential-streaming figure, since random access is what most large-model inference and any pooled-memory workload actually demands — and P is the power, in watts, that a system actually draws to sustain that bandwidth, attributable specifically to the memory-and-fabric subsystem rather than the whole machine. An index above 1 means the optical, unified case delivers more usable bandwidth per unit of energy than wiring the same total capacity to the die’s edge the ordinary way — a real, measurable locality gain, not just a capacity or reach gain. An index at or below 1, once the fabric’s…

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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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