Equation 10 · Part 8 · The Deployment Envelope: Small Models Where the Power Is Not

subscript

E_{q} = \bar{P} \cdot \frac{N_{\mathrm{tok}}}{r}

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.

Full expressionsubscriptArticle meaning

The passage around this formula

Deliberation. This is the sharpest inversion in the whole subject. The most reliable modern route to harder reasoning is to spend more computation at inference time — more tokens, more attempts, more search. In a datacentre that compute is available on demand and is charged for. On a battery-powered, thermally capped device it is the single most expensive thing you can do, because energy per query scales with tokens generated: $E_{q} = \bar{P} \cdot \frac{N_{\mathrm{tok}}}{r}$ . with mean power $\bar{P}$ , tokens generated $N_{\mathrm{tok}}$ and sustained token rate r . Both $\bar{P}$ and r are set by the thermal wall, and r falls as the device heats — so a long deliberation is charged at a worsening exchange rate the longer it…

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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 article section

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