Equation 8 · Part 1 · Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read
Symbol B
What this part means
the achievable bandwidth at the level that dominates.
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.
Full expression→Symbol B→Article meaning
Where the article explains it
Written as an inequality, attainable performance P satisfies P \;\; , with the peak arithmetic rate, I the arithmetic intensity in operations per byte, and B the achievable bandwidth at the level that dominates.
The passage around this formula
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.
Learn the underlying idea
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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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.