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Equation 8 · Part 2 · Edge AI Electronics and Sensor Systems in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol t

η(t)\eta(t)
tt

What this part means

the time or time index used in this relationship.

Its job in the formula

t 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

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

The passage around this formula

η(t)\eta(t) itself is not free to grow indefinitely inside conventional CMOS. Horowitz, Alon, and Patil’s widely cited analysis of chip power scaling made the mechanism explicit: as feature size shrank across recent nodes, supply voltage and threshold voltage stopped scaling down at the historical rate, because pushing them lower drives subthreshold leakage up sharply, and power — not transistor count — became the binding limiter on how fast or how densely a chip could usefully run [ 11 ] . That single fact is the quiet premise behind most edge-AI marketing that promises “10x more efficient” silicon every generation: within one switching technology, each further gain in η(t)\eta(t) gets structurally…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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