Equation 9 · Part 1 · The Frontier Model Landscape in 2035: Four Scenarios, Their Signals, and What Would Falsify Them
Symbol D
What this part means
its position on a deployment-outcome measure such as production task completion or retained enterprise share, and w(t) [0,1] is the weight public comparison, procurement practice and press coverage place on the benchmark term.
Its job in the formula
D is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Where the article explains it
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) [0,1] is the weight public comparison, procurement practice and press coverage place on the benchmark term.
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) [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.
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
- [10] DeepSeek-R1 Incentivizes Reasoning in LLMs through Reinforcement Learning ↗
- [1] Chatbot Arena: An Open Platform for Evaluating LLMs by Human Preference ↗
- [2] The Leaderboard Illusion ↗
- [4] The 2026 AI Index Report ↗
- [8] 2025: The State of Generative AI in the Enterprise ↗
These citations provide research context; check each source for the exact claim it supports.