$$S(t) = w(t)\, B(t) + \bigl(1 - w(t)\bigr)\, D(t)$$

Equation 6 · Model Evaluation

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

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

A convenient way to see what axis B actually claims is to write the signal a given comparison reports as a blend: $S(t) = w(t)\, B(t) + \bigl(1 - w(t)\bigr)\, D(t)$. 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)…

Meanings in this article

• $t$: the time or time index used in this relationship.
• $w$: heading: toward one.
• $D$: 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.

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