Triple
T12597101
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Euler’s method of rearranging absolutely convergent series |
E300760
|
entity |
| Predicate | category |
P87
|
FINISHED |
| Object |
Eulerian method
The Eulerian method is a mathematical technique, rooted in Leonhard Euler’s work, used to transform and accelerate the convergence of infinite series and related numerical computations.
|
E992318
|
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: Eulerian method | Statement: [Euler’s method of rearranging absolutely convergent series, category, Eulerian method]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Eulerian method Context triple: [Euler’s method of rearranging absolutely convergent series, category, Eulerian method]
-
A.
Euler’s method for numerical integration
Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
-
B.
Euler equations
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
-
C.
Feautrier method
The Feautrier method is a numerical technique used in radiative transfer to stably and accurately solve second-order differential equations for the radiation field in stellar atmospheres and similar media.
-
D.
Euler–Maruyama method
The Euler–Maruyama method is a basic time-stepping scheme for numerically approximating solutions to stochastic differential equations, widely used in simulations of systems with noise such as Langevin dynamics.
-
E.
Darwin–Fowler method
The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
- 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: Eulerian method Triple: [Euler’s method of rearranging absolutely convergent series, category, Eulerian method]
Generated description
The Eulerian method is a mathematical technique, rooted in Leonhard Euler’s work, used to transform and accelerate the convergence of infinite series and related numerical computations.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Eulerian method Target entity description: The Eulerian method is a mathematical technique, rooted in Leonhard Euler’s work, used to transform and accelerate the convergence of infinite series and related numerical computations.
-
A.
Euler’s method for numerical integration
Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
-
B.
Euler equations
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
-
C.
Feautrier method
The Feautrier method is a numerical technique used in radiative transfer to stably and accurately solve second-order differential equations for the radiation field in stellar atmospheres and similar media.
-
D.
Euler–Maruyama method
The Euler–Maruyama method is a basic time-stepping scheme for numerically approximating solutions to stochastic differential equations, widely used in simulations of systems with noise such as Langevin dynamics.
-
E.
Darwin–Fowler method
The Darwin–Fowler method is a statistical mechanics technique that uses complex analysis and generating functions to derive distribution laws for systems of many particles.
- 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_69d7bdea2ca881908f379526c13b1145 |
completed | April 9, 2026, 2:55 p.m. |
| NER | Named-entity recognition | batch_69d954cf33b88190bff339fcd3142cc8 |
completed | April 10, 2026, 7:51 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f65ec75fc08190aa13cbb0161eb35c |
completed | May 2, 2026, 8:29 p.m. |
| NEDg | Description generation | batch_69f6605bca10819086966e1574c31318 |
completed | May 2, 2026, 8:36 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f6617997188190bfce14c54619af7f |
completed | May 2, 2026, 8:41 p.m. |
Created at: April 9, 2026, 5:08 p.m.