Triple
T4667928
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Heaviside step function |
E102892
|
entity |
| Predicate | integralRepresentation |
P28827
|
FINISHED |
| Object | H(x)=∫_{-∞}^x δ(t) dt (in distribution sense) |
—
|
LITERAL 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: H(x)=∫_{-∞}^x δ(t) dt (in distribution sense) | Statement: [Heaviside step function, integralRepresentation, H(x)=∫_{-∞}^x δ(t) dt (in distribution sense)]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: integralRepresentation
Context triple: [Heaviside step function, integralRepresentation, H(x)=∫_{-∞}^x δ(t) dt (in distribution sense)]
-
A.
isIntegralFormOf
chosen
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
-
B.
integrates
Indicates that one entity combines or brings together another entity or set of entities into a unified, functioning whole.
-
C.
symbolInComplexAnalysis
Indicates that a given symbol is used specifically within the context or notation of complex analysis.
-
D.
VoroninUniversality
Indicates that a function or object exhibits Voronin universality, meaning its values approximate those of a wide class of analytic functions arbitrarily well on certain domains.
-
E.
isIntegralOver
Indicates that one algebraic structure (typically a ring element or extension) satisfies a monic polynomial with coefficients in another ring, expressing that it is algebraically dependent on and “integral over” that base ring.
- F. None of above.
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_69bd43d9cba4819086c1ab1c2d9d2133 |
completed | March 20, 2026, 12:55 p.m. |
| NER | Named-entity recognition | batch_69bd655aceb081908100ffc0498fe183 |
completed | March 20, 2026, 3:18 p.m. |
| PD | Predicate disambiguation | batch_69bd6215864c8190b50ba0f63ba87d0c |
completed | March 20, 2026, 3:04 p.m. |
Created at: March 20, 2026, 1:15 p.m.