Equation 2 · Part 11 · An Optical Fabric Turns Off-Package Memory Into an Extension of the Die
Denominator: BW_cu / P_cu
What this part means
The complete quantity below the fraction bar; it must be nonzero for this division.
Its job in the formula
Bu / u occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Full expression→Denominator: BW_cu / P_cu→Article meaning
The passage around this formula
I define a compute-to-memory locality index, L , as the ratio of two bandwidth-per-joule figures: the realized random-access bandwidth a system can sustain across its full memory pool, divided by the power it costs to sustain that bandwidth, computed once for the optically unified case and once for the same total memory capacity attached the conventional way — as edge-limited HBM and DDR stacks wired electrically to a die of the same process generation. 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…
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 →
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