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Equation 8 · Part 1 · Edge AI Electronics and Sensor Systems in 2035: Scenarios, Signals, and Falsifiable Predictions

Symbol eta

η(t)\eta(t)
η\eta

What this part means

the achieved energy efficiency of the best available accelerator at time t , measured in tera-operations per second per watt.

Its job in the formula

eta 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,…

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

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