← All parts of this equation

Equation 6 · Part 1 · The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them

Symbol S

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

What this part means

S is part of the quantity the equation computes from the expression on the right.

Its job in the formula

S is part of the quantity the equation computes from the expression on the right.

The passage around this formula

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)+(1−w(t)) D(t)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)…

Read this part in the article →

Learn the underlying idea

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

Open the illustrated functions: inputs become outputs guide →

See this notation across published equations →

Sources cited in the article section

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