Triple
T9838943
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Johan Frederik Koksma |
E239171
|
entity |
| Predicate | notableConcept |
P201
|
FINISHED |
| Object | Koksma–Hlawka inequality in numerical integration |
E824092
|
NE FINISHED |
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: Koksma–Hlawka inequality in numerical integration | Statement: [Johan Frederik Koksma, notableConcept, Koksma–Hlawka inequality in numerical integration]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Koksma–Hlawka inequality in numerical integration Context triple: [Johan Frederik Koksma, notableConcept, Koksma–Hlawka inequality in numerical integration]
-
A.
Koksma–Hlawka inequality
chosen
The Koksma–Hlawka inequality is a fundamental result in numerical analysis and discrepancy theory that bounds the error of quasi-Monte Carlo integration by the product of a function’s variation and the discrepancy of the sampling points.
-
B.
Gaussian quadrature rules
Gaussian quadrature rules are numerical integration methods that approximate definite integrals by optimally choosing evaluation points and weights to achieve exactness for polynomials up to a high degree.
-
C.
van der Corput method for estimating exponential sums
The van der Corput method for estimating exponential sums is a classical analytic number theory technique that provides bounds for oscillatory sums by exploiting differencing and smoothness properties of the phase function.
-
D.
Carathéodory–Fejér interpolation
Carathéodory–Fejér interpolation is a classical result in complex analysis and approximation theory that concerns constructing analytic functions, typically with bounded or positive real part, that match prescribed initial Taylor coefficients.
-
E.
van der Corput method
The van der Corput method is a technique in analytic number theory used to estimate exponential sums and derive bounds for problems such as the distribution of prime numbers and lattice point counting.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69ca84e314108190978324a4bdb959f8 |
completed | March 30, 2026, 2:12 p.m. |
| NER | Named-entity recognition | batch_69cdb34921b881909836ba0f5b42a27b |
completed | April 2, 2026, 12:07 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d1e429682c8190a94339b96d4081f6 |
completed | April 5, 2026, 4:25 a.m. |
Created at: March 30, 2026, 8:33 p.m.