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Equation 1 · Edge AI Electronics and Sensor Systems: A First-Principles Introduction

What does this equation mean?

η  =  TOPSW  =  operations per secondpower draw (W)\eta \;=\; \frac{\text{TOPS}}{\text{W}} \;=\; \frac{\text{operations per second}}{\text{power draw (W)}}

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Start withTOPS
Divide byW
This relates toeta
How to read the two sides of this formula. Follow the article passage for the meaning of each quantity.

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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η\eta

Symbol eta

the two things move.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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fraction

fraction

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

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TOPS\text{TOPS}

Numerator: TOPS

The complete quantity above the fraction bar.

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W\text{W}

Denominator: W

The complete quantity below the fraction bar; it must be nonzero for this division.

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operations per second\text{operations per second}

Numerator: operations per second

The complete quantity above the fraction bar.

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power draw (W)\text{power draw (W)}

Denominator: power draw (W)

The complete quantity below the fraction bar; it must be nonzero for this division.

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How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

TOPS , tera-operations per second, measures raw throughput: how many multiply-accumulate operations a chip can, in principle, perform in a second. It says nothing about power, and by itself it is close to useless for comparing edge hardware, because a processor is free to spend arbitrarily large power to hit a large TOPS number. The metric that actually matters for a battery-powered or thermally constrained device is efficiency — operations delivered per unit of energy, conventionally reported as TOPS per watt : η  =  TOPSW  =  operations per secondpower draw (W)\eta \;=\; \frac{\text{TOPS}}{\text{W}} \;=\; \frac{\text{operations per second}}{\text{power draw (W)}}. 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…
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TOPS , tera-operations per second, measures raw throughput: how many multiply-accumulate operations a chip can, in principle, perform in a second. It says nothing about power, and by itself it is close to useless for comparing edge hardware, because a processor is free to spend arbitrarily large power to hit a large TOPS number. The metric that actually matters for a battery-powered or thermally constrained device is efficiency — operations delivered per unit of energy, conventionally reported as TOPS per watt : η  =  TOPSW  =  operations per secondpower draw (W)\eta \;=\; \frac{\text{TOPS}}{\text{W}} \;=\; \frac{\text{operations per second}}{\text{power draw (W)}}. 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:

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