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Equation 13 · Part 4 · How AI Accelerator Architecture Actually Works

Symbol c

η≈LL+r+c−2.\eta \approx \frac{L}{L + r + c - 2}.
cc

What this part means

c occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Its job in the formula

c occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

The passage around this formula

while the useful work performed is r ⋅\cdot c ⋅\cdot L multiply-accumulates — one per cell, once per streamed step, in steady state. Dividing useful work by the total cell-cycles available, r ⋅\cdot c ⋅\cdot T , gives an idealised utilization η≈LL+r+c−2\eta \approx \frac{L}{L + r + c - 2}. As the streamed sequence L grows large relative to the array’s dimensions, η\eta…

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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

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