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Equation 7 · Part 2 · Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read

subscript

Pmax⁡P_{\max}
subscript

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

Everything else in this article follows from one observation about that ridge point: because Pmax⁡P_{\max} has been growing at roughly twice the rate of B [ 4 ] , I∗I^{*} 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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Learn the underlying idea

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 surrounding passage

These citations provide research context; check each source for the exact claim it supports.