Equation 6 · Part 2 · Edge AI Electronics and Sensor Systems in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol t

\eta(t)

t

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.

Full expressionSymbol tArticle meaning

Where the article explains it

If $P_{\text{budget}}$ is the (roughly fixed, application-set) power envelope in watts and $\eta(t)$ 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 $C_{\text{edge}}(t)$ $\approx$ $P_{\text{budget}}$ $\cdot$ $\eta(t)$ .

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 $P_{\text{budget}}$ 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 $\eta(t)$ — from architecture, from process, from numerical precision, and, in the discontinuity scenario below, from a different physical mechanism entirely. Reuther and colleagues’ survey of commercial AI accelerators, which compiles peak-performance and power figures across dozens of parts and computes efficiency relative to that peak, documents exactly this pattern:…

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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

[8] AI Accelerator Survey and Trends ↗

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