Triple
T18480443
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Problems and Theorems in Analysis (with George Pólya) |
E451541
|
entity |
| Predicate | hasPart |
P35
|
FINISHED |
| Object | Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions |
—
|
NE NERFINISHED |
Named-entity recognition
Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.
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: Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions | Statement: [Problems and Theorems in Analysis (with George Pólya), hasPart, Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions]
Disambiguation candidates (1 decision)
The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions Context triple: [Problems and Theorems in Analysis (with George Pólya), hasPart, Problems and Theorems in Analysis I: Series, Integral Calculus, Theory of Functions]
-
A.
Problems and Theorems in Analysis (with George Pólya)
chosen
"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.
-
B.
Foundations of Modern Analysis
Foundations of Modern Analysis is a classic graduate-level textbook that systematically develops modern mathematical analysis using rigorous, abstract methods and functional analysis.
-
C.
Theory of the Integral
Theory of the Integral is a classic mathematical monograph that systematically develops the theory of integration, particularly Lebesgue integration, and has been influential in real analysis.
-
D.
Trigonometric Series, Vol. I
Trigonometric Series, Vol. I is a foundational mathematical monograph by Antoni Zygmund that systematically develops the theory of trigonometric series and Fourier analysis.
-
E.
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.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (2 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69d8d38465a0819099b9b42d2a662ac1 |
elicitation | completed |
| NER | batch_69e53066a7108190a50eda9b489c90ca |
ner | completed |
Created at: April 10, 2026, 11:35 a.m.