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Equation 2 · How AI Accelerator Architecture Actually Works

What does this equation mean?

Pmax⁡P_{\max}

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Pmax⁡P_{\max}

Symbol P_max

PmP_max is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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subscript

subscript

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What the article says around this equation

The roofline model’s ridge point, I∗I^{*} = Pmax⁡P_{\max} / β\beta , says whether a kernel’s arithmetic intensity is high enough that memory bandwidth is not the binding constraint [ 7 ] . It says nothing about whether the array can actually deliver Pmax⁡P_{\max} once that bar is cleared, because Pmax⁡P_{\max} itself assumes every cell is doing useful work on every cycle — and a real systolic pipeline spends some of its cycles filling and draining rather than computing.

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