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Equation 3 · Part 7 · Multimodal AI in 2035: Scenarios and Falsifiers

=

C(t)=1 ⁣[U(t)≥u∗]⋅1 ⁣[R(t)≥r∗]C(t) = \mathbb{1}\!\left[U(t) \ge u^{*}\right] \cdot \mathbb{1}\!\left[R(t) \ge r^{*}\right]
=

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.

The passage around this formula

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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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.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.