$$D(t)$$

Equation 4 · Edge AI & Electronics

Small and On-Device AI in 2035: Scenarios and Falsifiers

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

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

Equation guide → · Article →

Equation 9 · Model Evaluation

The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them

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

where B(t) is a provider’s position on a composite benchmark or leaderboard index at time t , D(t) is its position on a deployment-outcome measure such as production task completion or retained enterprise share, and w(t) $\in$ [0,1] is the weight public comparison, procurement practice and press coverage place on the benchmark term. Axis B is precisely a claim about where w(t) is heading: toward one, where the scenario names below carry the word “Board,” or toward zero, where they carry the word “Ledger” instead. No source cited in this article reports w(t) directly as a number, which is the honest reason this is an axis and not an already-settled fact.

Meanings in this article

• $D$: its position on a deployment-outcome measure such as production task completion or retained enterprise share, and w(t) $\in$ [0,1] is the weight public comparison, procurement practice and press coverage place on the benchmark term.
• $t$: the time or time index used in this relationship.

Equation guide → · Article →