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Equation 4 · Part 3 · Edge AI Electronics and Sensor Systems in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol P_budget

Cedge(t)≈Pbudget⋅η(t).C_{\text{edge}}(t) \approx P_{\text{budget}} \cdot \eta(t).
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

That structural fact can be written compactly. If PbudgetP_{\text{budget}} is the (roughly fixed, application-set) power envelope in watts and η(t)\eta(t) is the achieved energy efficiency of the best available accelerator at time t , measured in tera-operations per second per watt, then the usable on-device compute throughput is approximately [displayed…

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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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