Equation 7 · Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read
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the peak arithmetic rate. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
Everything else in this article follows from one observation about that ridge point: because has been growing at roughly twice the rate of B [ 4 ] , has been climbing steadily. A kernel whose intensity was comfortably compute-bound on one generation can be memory-bound on the next without a single line of it changing. Hardware progress moves operations across the boundary in only one direction.
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