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Equation 2 · Part 1 · Ten Failure Modes That Define Small and On-Device AI Deployments

Symbol S_request

Srequest≤∑ifreeiS_{\mathrm{request}} \le \sum_i \mathrm{free}_i
SrequestS_{\mathrm{request}}

What this part means

SrS_request 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

SrS_request 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

is the condition that actually governs whether an allocation succeeds, and it can fail even when SrequestS_{\mathrm{request}} ≤\le ∑i\sum_i freei\mathrm{free}_i holds comfortably — the requested size fits inside total free memory but not inside any one free block. This is precisely the problem the smartphone inference system PowerInfer-2 was built to manage: it introduces a segmented neuron cache with a…

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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

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