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Equation 3 · Part 5 · Edge AI Electronics and Sensor Systems: A First-Principles Introduction

fraction

Einference  =  NopsηE_{\text{inference}} \;=\; \frac{N_{\text{ops}}}{\eta}
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

Because a watt is a joule per second, η\eta measured this way is numerically the same quantity as operations delivered per joule. That equivalence matters because it converts a throughput specification into an energy budget for a single inference: Einference  =  NopsηE_{\text{inference}} \;=\; \frac{N_{\text{ops}}}{\eta}. where NopsN_{\text{ops}} is the number of operations one inference requires. This is the arithmetic that determines whether a given model can run a given number of times on a given battery before it needs replacing or recharging, and it is why a headline TOPS figure on a datasheet, quoted without the power draw it was measured at, tells a reader almost nothing about whether a part is suitable for a battery-powered product.

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the article section

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