Equation 11 · Part 1 · From Origins to Frontier: A History of Frontier AI Model Comparisons
Symbol A
What this part means
A is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
A is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol A→Article meaning
The passage around this formula
That formula encodes a specific, testable assumption: that pairwise preference between any two systems can be explained by each system’s position on one shared scale, and that preferences are therefore transitive — if raters prefer A to B and B to C , they will prefer A to C . This is a real point of methodological…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the article section
- [12] Chatbot Arena: An Open Platform for Evaluating LLMs by Human Preference ↗
- [11] Judging LLM-as-a-Judge with MT-Bench and Chatbot Arena ↗
- [13] Length-Controlled AlpacaEval: A Simple Way to Debias Automatic Evaluators ↗
- [14] LLM Evaluators Recognize and Favor Their Own Generations ↗
These citations provide research context; check each source for the exact claim it supports.