Triple

T21988921
Position Surface form Disambiguated ID Type / Status
Subject Sommerfeld-Watson transform E543033 entity
Predicate basedOn P98 FINISHED
Object Cauchy residue theorem NE GENERATED

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.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Cauchy residue theorem
Context triple: [Sommerfeld-Watson transform, basedOn, Cauchy residue theorem]
  • A. Cauchy residue theorem chosen
    The Cauchy residue theorem is a fundamental result in complex analysis that relates contour integrals of analytic functions around singularities to the sum of their residues, greatly simplifying the evaluation of many complex and real integrals.
  • B. Cauchy integral formula
    The Cauchy integral formula is a fundamental result in complex analysis that expresses the value of a holomorphic function inside a disk in terms of a contour integral of the function around the disk’s boundary.
  • C. Cauchy integral theorem
    The Cauchy integral theorem is a fundamental result in complex analysis stating that the integral of a holomorphic function over any closed contour in a simply connected domain is zero.
  • D. Method of Residues
    The Method of Residues is a logical technique, associated with John Stuart Mill, in which known causes are subtracted from a complex set of effects so that the remaining unexplained portion can be attributed to a previously unidentified cause.
  • E. Cauchy principal value
    The Cauchy principal value is a method in mathematical analysis for assigning finite values to certain improper or divergent integrals and series by symmetrically balancing their singularities.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

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_69e0c48136b081908831fa907cc02e18 completed April 16, 2026, 11:14 a.m.
Created at: April 16, 2026, 8:05 p.m.