← All parts of this equation

Equation 4 · Part 7 · Edge AI Electronics and Sensor Systems in 2035: Scenarios, Signals, and Falsifiable Predictions

subscript

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

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

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

Read this part in the article →

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.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

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