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Equation 6 · Part 1 · Shipping an On-Device AI Feature That Actually Works in the Field

Symbol p

pp
pp

What this part means

p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

The consequence is structural rather than a tuning detail: clocalc_{\mathrm{local}} appears in every request’s cost regardless of p , so a router only pays for itself if the local attempt is cheap relative to what it saves, and a router that is expensive to run locally can lose to simply escalating difficult-looking requests immediately based on a cheap, coarse signal computed before committing to the full local attempt.

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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 article section

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