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Equation 13 · Part 1 · What an AI Accelerator Actually Is: Silicon, Packaging, and the Memory It Can Reach

Symbol P_attainable

Pattainable=min⁡(Pmax⁡,  β⋅I).P_{\mathrm{attainable}} = \min\left(P_{\max},\; \beta \cdot I\right).
PattainableP_{\mathrm{attainable}}

What this part means

attainable performance.

Its job in the formula

PaP_attainable is the quantity selected or evaluated by the optimization written on the right.

Where the article explains it

Then attainable performance is bounded by

The passage around this formula

with W operations and Q bytes. Let Pmax⁡P_{\max} be the machine’s peak arithmetic rate and β\beta its achievable memory bandwidth. Then attainable performance is bounded by Pattainable=min⁡(Pmax⁡,  β⋅I)P_{\mathrm{attainable}} = \min\left(P_{\max},\; \beta \cdot I\right). That expression is the whole model, and it has one structural feature that matters more than the rest. The two bounds cross at a ridge point

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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 article section

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