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Equation 6 · Part 3 · The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them

Symbol w

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

What this part means

heading: toward one.

Its job in the formula

w is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

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.

The passage around this formula

…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”…

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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See this notation across published equations →

Sources cited in the article section

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