Triple
T7194282
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Vandermonde's identity |
E167770
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | binomial identity |
C7420
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: binomial identity Context triple: [Vandermonde's identity, instanceOf, binomial identity]
-
A.
binomial coefficient identity
chosen
A binomial coefficient identity is an algebraic equality that relates one or more binomial coefficients, often revealing combinatorial or symmetric properties of counting processes.
-
B.
partition congruence
Partition congruence is an equivalence relation on a set that identifies elements as equivalent precisely when they belong to the same block of a given partition of that set.
-
C.
circle method
The circle method is an analytic number theory technique that uses integration over the unit circle in the complex plane to estimate the number of representations of integers by various arithmetic functions.
-
D.
identity in analytic number theory
Identity in analytic number theory is a rigorously proven equality, often involving series, integrals, or arithmetic functions, that reveals structural relationships between number-theoretic objects and underpins analytic techniques such as transforms, convolutions, and explicit formulas.
-
E.
special function
A special function is a mathematically well-studied function, often arising as a solution to differential equations or integrals, that has established names, properties, and applications across many areas of science and engineering.
- F. None of above.
Provenance (1 batch)
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_69c6888b5248819090499a884ee3ec39 |
completed | March 27, 2026, 1:39 p.m. |
Created at: March 27, 2026, 2:50 p.m.