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Equation 8 · Part 2 · Small and On-Device AI in 2035: Scenarios and Falsifiers

Symbol t

P(t)P(t)
tt

What this part means

t 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

t 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

Three things hold across every cell. First, a cloud tier of some kind survives in three of the four scenarios and only fully disappears from everyday use in the one — The Rails Meet — where both axes resolve toward the optimistic pole simultaneously; even Apple’s own architecture, arguably the most aggressive current bet on the device, keeps a server tier specifically because “more sophisticated requests” need it [ 11 ] . Second, which specific technique wins inside each axis’s optimistic pole — a successor to today’s LoRA-style adapters, a regularization method that finally tames catastrophic forgetting, a new NPU architecture rather than an incremental TOPS increase — is a narrower, more…

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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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Sources cited in the surrounding passage

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