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Equation 10 · Part 2 · The Deployment Envelope: Small Models Where the Power Is Not

Symbol barP

Eq=Pˉ⋅NtokrE_{q} = \bar{P} \cdot \frac{N_{\mathrm{tok}}}{r}
Pˉ\bar{P}

What this part means

barP is one factor in the product that computes the quantity on the left.

Its job in the formula

barP is one factor in the product that computes the quantity on the left.

The passage around this formula

…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: Eq=Pˉ⋅NtokrE_{q} = \bar{P} \cdot \frac{N_{\mathrm{tok}}}{r}. with mean power Pˉ\bar{P} , tokens generated NtokN_{\mathrm{tok}} and sustained token rate r . Both Pˉ\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 runs, which is exactly the behaviour the sustained-load…

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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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