Triple
T17229073
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | John Stuart Mill as logician |
E418195
|
entity |
| Predicate | method |
P859
|
FINISHED |
| Object |
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.
|
E1257393
|
NE FINISHED |
How this triple was built (4 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: Method of Residues | Statement: [John Stuart Mill as logician, method, Method of Residues]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Method of Residues Context triple: [John Stuart Mill as logician, method, Method of Residues]
-
A.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
-
B.
Cauchy residue theorem
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.
-
C.
Harmonic Integrals in the Theory of Analytic Functions
"Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
-
D.
Lagrange’s variation of parameters method
Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
-
E.
Wiener–Hopf equations
Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Method of Residues Triple: [John Stuart Mill as logician, method, Method of Residues]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Method of Residues Target entity description: 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.
-
A.
Le calcul des résidus et ses applications à la théorie des fonctions
*Le calcul des résidus et ses applications à la théorie des fonctions* is a mathematical treatise on the theory of residues in complex analysis and its applications to the study of analytic functions.
-
B.
Cauchy residue theorem
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.
-
C.
Harmonic Integrals in the Theory of Analytic Functions
"Harmonic Integrals in the Theory of Analytic Functions" is a foundational mathematical work by Kunihiko Kodaira that develops the theory of harmonic integrals and lays groundwork for modern complex analysis and complex geometry.
-
D.
Lagrange’s variation of parameters method
Lagrange’s variation of parameters method is a classical analytical technique in celestial mechanics and differential equations that determines how orbital or system parameters evolve over time under perturbing forces.
-
E.
Wiener–Hopf equations
Wiener–Hopf equations are integral equations that arise in problems of filtering, prediction, and diffraction, forming the mathematical foundation for optimal linear filters such as the Wiener filter.
- F. None of above. chosen
Provenance (5 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_69d886d8e96081909870bff6c3d0bf09 |
completed | April 10, 2026, 5:12 a.m. |
| NER | Named-entity recognition | batch_69e42df55e788190b442ffd4fac768c9 |
completed | April 19, 2026, 1:20 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a01675eae08819093427b4dc1ffee5f |
completed | May 11, 2026, 5:21 a.m. |
| NEDg | Description generation | batch_6a016a1f6eac8190951ae30f37144d2a |
completed | May 11, 2026, 5:33 a.m. |
| NED2 | Entity disambiguation (via description) | batch_6a016a92af248190aaed36040486bf40 |
completed | May 11, 2026, 5:35 a.m. |
Created at: April 10, 2026, 5:39 a.m.