Triple

T4966481
Position Surface form Disambiguated ID Type / Status
Subject J. Tinsley Oden E111537 entity
Predicate notableWork P4 FINISHED
Object An Introduction to the Mathematical Theory of Finite Elements
An Introduction to the Mathematical Theory of Finite Elements is a foundational textbook that rigorously develops the mathematical underpinnings of the finite element method used in numerical analysis and engineering.
E483186 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: An Introduction to the Mathematical Theory of Finite Elements | Statement: [J. Tinsley Oden, notableWork, An Introduction to the Mathematical Theory of Finite Elements]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: An Introduction to the Mathematical Theory of Finite Elements
Context triple: [J. Tinsley Oden, notableWork, An Introduction to the Mathematical Theory of Finite Elements]
  • A. Finite Element Methods for Flow Problems
    "Finite Element Methods for Flow Problems" is a foundational textbook that develops and applies finite element techniques to the numerical simulation of fluid flow and related transport phenomena.
  • B. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
    The Finite Element Method: Linear Static and Dynamic Finite Element Analysis is a foundational textbook that rigorously presents the theory and application of finite element techniques for solving linear static and dynamic problems in engineering and applied sciences.
  • C. Methods of Mathematical Physics
    Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
  • D. finite element method
    The finite element method is a numerical technique for solving complex engineering and physical problems by approximating solutions over discretized domains, widely used in structural analysis, heat transfer, fluid dynamics, and related fields.
  • E. Lectures on Cauchy’s problem in linear partial differential equations
    "Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
  • 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: An Introduction to the Mathematical Theory of Finite Elements
Triple: [J. Tinsley Oden, notableWork, An Introduction to the Mathematical Theory of Finite Elements]
Generated description
An Introduction to the Mathematical Theory of Finite Elements is a foundational textbook that rigorously develops the mathematical underpinnings of the finite element method used in numerical analysis and engineering.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: An Introduction to the Mathematical Theory of Finite Elements
Target entity description: An Introduction to the Mathematical Theory of Finite Elements is a foundational textbook that rigorously develops the mathematical underpinnings of the finite element method used in numerical analysis and engineering.
  • A. Finite Element Methods for Flow Problems
    "Finite Element Methods for Flow Problems" is a foundational textbook that develops and applies finite element techniques to the numerical simulation of fluid flow and related transport phenomena.
  • B. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis
    The Finite Element Method: Linear Static and Dynamic Finite Element Analysis is a foundational textbook that rigorously presents the theory and application of finite element techniques for solving linear static and dynamic problems in engineering and applied sciences.
  • C. Methods of Mathematical Physics
    Methods of Mathematical Physics is a classic two-volume textbook by Richard Courant and David Hilbert that rigorously develops the mathematical foundations and techniques used in theoretical physics.
  • D. finite element method
    The finite element method is a numerical technique for solving complex engineering and physical problems by approximating solutions over discretized domains, widely used in structural analysis, heat transfer, fluid dynamics, and related fields.
  • E. Lectures on Cauchy’s problem in linear partial differential equations
    "Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
  • 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_69bd4419393c819086319a6fe4bf8542 completed March 20, 2026, 12:56 p.m.
NER Named-entity recognition batch_69bd71f7ae388190b752770bf577906f completed March 20, 2026, 4:12 p.m.
NED1 Entity disambiguation (via context triple) batch_69be81f13988819097dcd5a65cb1f502 completed March 21, 2026, 11:33 a.m.
NEDg Description generation batch_69be83b10e048190889289ac2ca9f07f completed March 21, 2026, 11:40 a.m.
NED2 Entity disambiguation (via description) batch_69be843e2e50819099b2b73498c7c16e completed March 21, 2026, 11:42 a.m.
Created at: March 20, 2026, 1:32 p.m.