Alphabeta MathEFT Measurements, Global Fits and Search Likelihoods
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Pipeline-generated
How statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
1 · Prerequisites
Measure Theory
Non-relativistic Classical Mechanics — Mathematics
Real Analysis
- Construction of the Real Numbers via Cauchy Sequences
- Construction of the Real Numbers via Dedekind Cuts
- Countability and Uncountability
- Foundations of the Real Numbers for Analysis
- limsup, liminf, and Subsequential Limits
- Monotone Sequences, Bolzano-Weierstrass, and Cauchy Completeness
- Sequences and Limits
- Suprema and Infima
- Topology of ℝ
Set Theory
2 · Logical flowchart
3 · Items
Definition
Profile likelihood ratios with nuisance parameters
Definition
Upper-tail p-values under an explicit null calibration
Definition
CLs ratio for source-specified signal exclusions
Sources
- Glen Cowan, Kyle Cranmer, Eilam Gross, and Ofer Vitells, “Asymptotic formulae for likelihood-based tests of new physics”
- Larry Wasserman, All of Statistics: A Concise Course in Statistical Inference
- A. L. Read, “Presentation of search results: the CLs technique,” Journal of Physics G 28 (2002), 2693–2704