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Equation 13 · Part 6 · What an AI Accelerator Actually Is: Silicon, Packaging, and the Memory It Can Reach

multiplication

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

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

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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Learn the underlying idea

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

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Sources cited in the article section

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