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Published equation contexts

U(t)U(t)

Why this formula appears here

Whether the multimodal AI market consolidates around a small number of vertically integrated any-to-any platforms, or remains a supply chain of composed specialist vendors the way it mostly is today, is not a third axis; it is what the other two jointly produce. Write U(t) for the share of new production multimodal deployments built on a single native any-to-any model rather than a composed pipeline — Axis A’s own proxy — and R(t) for the share of multimodal deployments operating in open, uncurated conditions that meet a reliability bar without a human fallback — Axis B’s own proxy. A platform bet on one any-to-any vendor only pays off if that vendor’s model is both the one everyone is…

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UU

Symbol U

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

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tt

Symbol t

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

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Published contexts (2)

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U(t)U(t)

Equation 1 · Foundation Models

Multimodal AI in 2035: Scenarios and Falsifiers

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Whether the multimodal AI market consolidates around a small number of vertically integrated any-to-any platforms, or remains a supply chain of composed specialist vendors the way it mostly is today, is not a third axis; it is what the other two jointly produce. Write U(t) for the share of new production multimodal deployments built on a single native any-to-any model rather than a composed pipeline — Axis A’s own proxy — and R(t) for the share of multimodal deployments operating in open, uncurated conditions that meet a reliability bar without a human fallback — Axis B’s own proxy. A platform bet on one any-to-any vendor only pays off if that vendor’s model is both the one everyone is…

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U(t)U(t)

Equation 5 · Foundation Models

Multimodal AI in 2035: Scenarios and Falsifiers

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

C(t) stays at zero however high either term climbs alone. Axis A determines whether U(t) can plausibly clear u∗u^{*} within this article’s horizon; Axis B determines whether R(t) can. Neither can be inferred from the other, which is why they are kept as two axes rather than folded into one.

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