Equation 3 · Part 6 · Small and On-Device AI in 2035: Scenarios and Falsifiers
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What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
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The passage around this formula
Whether on-device AI becomes the default computing substrate for everyday tasks — the thing a phone or a laptop does locally as a matter of course, with the cloud as the exception rather than the rule — is not a third axis; it is what the other two jointly produce, and testing that jointness is exactly what the room’s validation bench exists to do. Write P(t) for the share of everyday-task requests an on-device model can handle at rough parity with a cloud-frontier model — Axis A’s own proxy — and L(t) for the share of deployments where on-device personalization is reliable enough that a user or an operator trusts it without a cloud fallback — Axis B’s own proxy. A device that is fast but…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
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Sources cited in the article section
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