Triple

T7600442
Position Surface form Disambiguated ID Type / Status
Subject Murray R. Spiegel E179968 entity
Predicate notableWork P4 FINISHED
Object Schaum's Outline of Theory and Problems of College Algebra
Schaum's Outline of Theory and Problems of College Algebra is a widely used study guide that presents core college algebra concepts through concise explanations, numerous solved problems, and practice exercises to aid student learning and exam preparation.
E674676 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: Schaum's Outline of Theory and Problems of College Algebra | Statement: [Murray R. Spiegel, notableWork, Schaum's Outline of Theory and Problems of College Algebra]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Theory and Problems of College Algebra
Context triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Theory and Problems of College Algebra]
  • A. Fundamental Concepts of Algebra
    Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
  • B. A Survey of Modern Algebra
    A Survey of Modern Algebra is a classic and influential textbook that systematically introduces the fundamental concepts and structures of modern abstract algebra.
  • C. Moderne Algebra
    Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
  • D. Algebra II
    "Algebra II" is the second volume of Bartel Leendert van der Waerden’s influential algebra textbook series, which helped shape modern abstract algebra through its rigorous and systematic treatment of the subject.
  • E. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic 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: Schaum's Outline of Theory and Problems of College Algebra
Triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Theory and Problems of College Algebra]
Generated description
Schaum's Outline of Theory and Problems of College Algebra is a widely used study guide that presents core college algebra concepts through concise explanations, numerous solved problems, and practice exercises to aid student learning and exam preparation.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Theory and Problems of College Algebra
Target entity description: Schaum's Outline of Theory and Problems of College Algebra is a widely used study guide that presents core college algebra concepts through concise explanations, numerous solved problems, and practice exercises to aid student learning and exam preparation.
  • A. Fundamental Concepts of Algebra
    Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
  • B. A Survey of Modern Algebra
    A Survey of Modern Algebra is a classic and influential textbook that systematically introduces the fundamental concepts and structures of modern abstract algebra.
  • C. Moderne Algebra
    Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
  • D. Algebra II
    "Algebra II" is the second volume of Bartel Leendert van der Waerden’s influential algebra textbook series, which helped shape modern abstract algebra through its rigorous and systematic treatment of the subject.
  • E. Treatise on Demonstration of Problems of Algebra
    Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic 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_69c69f3487ec8190bf7acdf2dd91e6d6 completed March 27, 2026, 3:16 p.m.
NER Named-entity recognition batch_69c6f9d9c55c8190841f3bf3225c096a completed March 27, 2026, 9:42 p.m.
NED1 Entity disambiguation (via context triple) batch_69c861ad08bc8190b3fc22109579a47d completed March 28, 2026, 11:18 p.m.
NEDg Description generation batch_69c86239eb348190b5a0b83d280000e2 completed March 28, 2026, 11:20 p.m.
NED2 Entity disambiguation (via description) batch_69c862a2f6808190942a22bf93994408 completed March 28, 2026, 11:22 p.m.
Created at: March 27, 2026, 3:53 p.m.