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Equation 1 · Part 7 · Edge AI Electronics and Sensor Systems in Practice: An Advanced Technical Guide

Starting index or lower bound: i

Pˉ=∑ifi Pi\bar{P} = \sum_{i} f_i \, P_i
ii

What this part means

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

Its job in the formula

i appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

The passage around this formula

…on unverified vendor numbers stacked several layers deep; a single shunt measurement campaign, even a short one, converts most of that stack into fact. Here fif_i is the fraction of time the device spends in power state i (sleep, always-on monitoring, escalated inference, radio) and PiP_i is the measured — not datasheet-typical — power draw in that state. This formulation is worth writing out because it exposes the one lever that dominates every other design decision: since fsleepf_{\text{sleep}} is normally close to one…

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Learn the underlying idea

Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.

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Sources cited in the article section

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