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Equation 9 · Part 2 · Edge AI Electronics and Sensor Systems: A First-Principles Introduction

subscript

PidleP_{\text{idle}}
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

where D is the fraction of time spent active. Because PactiveP_{\text{active}} is typically one to three orders of magnitude larger than PidleP_{\text{idle}} for a real accelerator, battery life is dominated almost entirely by D and by PidleP_{\text{idle}} — not by how efficient the processor is once it wakes up. This is precisely why an always-on product design effort spends so much of its attention on cheap, low-power triggering stages (a simple always-listening front end that only wakes the expensive processor when something resembling the target event occurs) rather than on the accelerator’s peak TOPS figure, which only matters for the small fraction of time D actually represents.

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the article section

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