Triple
T6512791
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | John Edensor Littlewood |
E126367
|
entity |
| Predicate | knownFor |
P22
|
FINISHED |
| Object |
Littlewood’s three principles of real analysis
Littlewood’s three principles of real analysis are a set of heuristic guidelines that clarify how measurable sets and functions can be approximated and simplified, emphasizing that they are nearly finite, nearly countable, and nearly continuous.
|
E600840
|
NE FINISHED |
How this triple was built (4 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: Littlewood’s three principles of real analysis | Statement: [John Edensor Littlewood, knownFor, Littlewood’s three principles of real analysis]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Littlewood’s three principles of real analysis Context triple: [John Edensor Littlewood, knownFor, Littlewood’s three principles of real analysis]
-
A.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
-
B.
Problems and Theorems in Analysis (with George Pólya)
"Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
-
C.
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.
-
D.
Du Bois-Reymond theory of orders of infinity
The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
-
E.
A Course of Pure Mathematics
A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Littlewood’s three principles of real analysis Triple: [John Edensor Littlewood, knownFor, Littlewood’s three principles of real analysis]
Generated description
Littlewood’s three principles of real analysis are a set of heuristic guidelines that clarify how measurable sets and functions can be approximated and simplified, emphasizing that they are nearly finite, nearly countable, and nearly continuous.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Littlewood’s three principles of real analysis Target entity description: Littlewood’s three principles of real analysis are a set of heuristic guidelines that clarify how measurable sets and functions can be approximated and simplified, emphasizing that they are nearly finite, nearly countable, and nearly continuous.
-
A.
Functional Analysis: Introduction to Further Topics in Analysis
"Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
-
B.
Problems and Theorems in Analysis (with George Pólya)
"Problems and Theorems in Analysis (with George Pólya)" is a classic two-volume collection of challenging problems and results in mathematical analysis that has become a standard reference and training resource for advanced students and researchers.
-
C.
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.
-
D.
Du Bois-Reymond theory of orders of infinity
The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
-
E.
A Course of Pure Mathematics
A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
- F. None of above. chosen
Provenance (5 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_69c687e68e748190baceb9298f32d3ed |
completed | March 27, 2026, 1:36 p.m. |
| NER | Named-entity recognition | batch_69c69f3c5eb88190a56723acd8096dd8 |
completed | March 27, 2026, 3:16 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c6cb69ca0c8190954dbe6c627981f3 |
completed | March 27, 2026, 6:24 p.m. |
| NEDg | Description generation | batch_69c6cc96edd08190b0c0f1b49dd64160 |
completed | March 27, 2026, 6:29 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69c6cd8d15ec8190be5a8c5e3f201139 |
completed | March 27, 2026, 6:33 p.m. |
Created at: March 27, 2026, 1:44 p.m.