Triple
T21783466
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fefferman–Phong inequality |
E537775
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Fefferman–Phong class of weights |
—
|
NE NERFINISHED |
How this triple was built (2 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Fefferman–Phong class of weights | Statement: [Fefferman–Phong inequality, relatedTo, Fefferman–Phong class of weights]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fefferman–Phong class of weights Context triple: [Fefferman–Phong inequality, relatedTo, Fefferman–Phong class of weights]
-
A.
Fefferman–Phong inequality
chosen
The Fefferman–Phong inequality is a fundamental result in harmonic analysis and partial differential equations that provides weighted \(L^2\) estimates controlling functions by their gradients and associated potentials.
-
B.
Singular Integrals and Differentiability Properties of Functions
"Singular Integrals and Differentiability Properties of Functions" is a landmark mathematical monograph by Elias M. Stein that developed the modern theory of singular integral operators and their role in harmonic analysis and differentiability.
-
C.
Three regularity results in harmonic analysis
"Three regularity results in harmonic analysis" is the doctoral thesis of mathematician Terence Tao, focusing on advanced problems in harmonic analysis and the study of regularity properties of functions and operators.
-
D.
Caffarelli–Kohn–Nirenberg inequalities
The Caffarelli–Kohn–Nirenberg inequalities are a family of weighted interpolation inequalities in analysis that generalize classical Sobolev and Hardy inequalities and play a key role in the study of partial differential equations and regularity theory.
-
E.
John–Nirenberg inequality
The John–Nirenberg inequality is a fundamental result in harmonic analysis that characterizes functions of bounded mean oscillation (BMO) by showing their oscillations have exponentially decaying distribution.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69e0c47198f881908cb0d237266c10e9 |
completed | April 16, 2026, 11:13 a.m. |
| NER | Named-entity recognition | batch_69f0462ed0ec81908833e18c164e8b5c |
completed | April 28, 2026, 5:31 a.m. |
Created at: April 16, 2026, 6:52 p.m.