Triple
T9843350
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Riemann–Siegel theta function |
E239279
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | Stirling’s approximation |
E300765
|
NE FINISHED |
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: Stirling’s approximation Context triple: [Riemann–Siegel theta function, relatedTo, Stirling’s approximation]
-
A.
Stirling's approximation
chosen
Stirling's approximation is a classical formula in mathematics that provides an efficient asymptotic estimate for factorials and the gamma function, especially for large arguments.
-
B.
Euler–Maclaurin summation formula
The Euler–Maclaurin summation formula is a fundamental result in analysis that connects sums and integrals, providing powerful asymptotic expansions and error estimates for approximating series by integrals.
-
C.
Legendre’s formula for valuations of factorials
Legendre’s formula for valuations of factorials is a number-theoretic result that expresses the exponent of a prime in the prime factorization of n! as a sum of integer divisions of n by successive powers of that prime.
-
D.
Hardy–Ramanujan asymptotic formula
The Hardy–Ramanujan asymptotic formula is a landmark result in number theory that gives an approximate expression for the partition function p(n), describing how the number of integer partitions of n grows rapidly with n.
-
E.
Euler–Mascheroni constant γ
The Euler–Mascheroni constant γ is a mathematical constant that arises in analysis and number theory, defined as the limiting difference between the harmonic series and the natural logarithm.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 batches)
| Stage | Batch ID | Job type | Status |
|---|---|---|---|
| creating | batch_69ca84e3f0c48190ada72a65ebd50efd |
elicitation | completed |
| NER | batch_69cdb35c8e348190aa090c71bf6f30eb |
ner | completed |
| NED1 | batch_69d1d5dda4b0819092703270e87bee5a |
ned_source_triple | completed |
Created at: March 30, 2026, 8:33 p.m.