Triple
T15155066
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Poynting theorem |
E362048
|
entity |
| Predicate | hasIntegralForm |
P116946
|
FINISHED |
| Object | d/dt ∫_V u dV = - ∮_∂V S·dA - ∫_V J·E dV |
—
|
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: d/dt ∫_V u dV = - ∮_∂V S·dA - ∫_V J·E dV | Statement: [Poynting theorem, hasIntegralForm, d/dt ∫_V u dV = - ∮_∂V S·dA - ∫_V J·E dV]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: hasIntegralForm Context triple: [Poynting theorem, hasIntegralForm, d/dt ∫_V u dV = - ∮_∂V S·dA - ∫_V J·E dV]
-
A.
isIntegralFormOf
Indicates that one entity is the integral (indefinite integral or antiderivative) form corresponding to another entity, typically a derivative or differential expression.
-
B.
hasIntegralRepresentation
Indicates that one entity can be expressed or represented as an integral involving the other entity.
-
C.
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.
-
D.
isIntegral
Indicates that a value belongs to the set of integers, having no fractional or decimal component.
-
E.
hasClosedForm
Indicates that a mathematical expression, function, or solution can be written in a finite, explicit form using a standard set of operations and well-known functions.
- F. None of above. chosen
Provenance (4 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_69d85a0759908190b8a051d2e2a1cbe6 |
completed | April 10, 2026, 2:01 a.m. |
| NER | Named-entity recognition | batch_69e0060b0cd08190afad14cffcc7d93f |
completed | April 15, 2026, 9:41 p.m. |
| PD | Predicate disambiguation | batch_69deb9779acc81908ed2dad382c42dca |
completed | April 14, 2026, 10:02 p.m. |
| PDg | Predicate description generation | batch_69dec72059c08190a34f513a00185b08 |
completed | April 14, 2026, 11 p.m. |
Created at: April 10, 2026, 3:08 a.m.