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Equation 5 · Part 1 · Edge AI Electronics and Sensor Systems in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol P_budget

PbudgetP_{\text{budget}}
PbudgetP_{\text{budget}}

What this part means

the because.

Its job in the formula

PbP_budget is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Because PbudgetP_{\text{budget}} is nearly constant for a given device class, essentially all of the growth in on-device model capability that anyone can expect by 2035 has to come from growth in η(t)\eta(t) — from architecture, from process, from numerical precision, and, in the discontinuity scenario below, from a different physical mechanism entirely.

The passage around this formula

This is not a scaling law in the sense of a fitted curve; it is closer to an accounting identity, and its value is in what it rules out. Because PbudgetP_{\text{budget}} is nearly constant for a given device class, essentially all of the growth in on-device model capability that anyone can expect by 2035 has to come from growth in η(t)\eta(t) — from architecture, from process, from numerical precision, and, in the discontinuity scenario below, from a…

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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.

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Sources cited in the surrounding passage

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