Triple

T7600435
Position Surface form Disambiguated ID Type / Status
Subject Murray R. Spiegel E179968 entity
Predicate notableWork P4 FINISHED
Object Schaum's Outline of Advanced Calculus
Schaum's Outline of Advanced Calculus is a widely used study guide that provides concise explanations, solved problems, and practice exercises covering key topics in advanced undergraduate calculus.
E674670 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 Advanced Calculus | Statement: [Murray R. Spiegel, notableWork, Schaum's Outline of Advanced Calculus]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Advanced Calculus
Context triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Advanced Calculus]
  • A. Advanced Calculus
    Advanced Calculus is a rigorous upper-level mathematics textbook by Lynn Harold Loomis (later revised by Shlomo Sternberg) that develops multivariable calculus and analysis with a strong emphasis on proofs and theoretical foundations.
  • B. Calculus Made Easy
    Calculus Made Easy is a classic introductory mathematics book that simplifies and demystifies the fundamental concepts of calculus for beginners.
  • C. Functional Analysis: Introduction to Further Topics in Analysis
    "Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
  • D. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • E. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
  • 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 Advanced Calculus
Triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Advanced Calculus]
Generated description
Schaum's Outline of Advanced Calculus is a widely used study guide that provides concise explanations, solved problems, and practice exercises covering key topics in advanced undergraduate calculus.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Advanced Calculus
Target entity description: Schaum's Outline of Advanced Calculus is a widely used study guide that provides concise explanations, solved problems, and practice exercises covering key topics in advanced undergraduate calculus.
  • A. Advanced Calculus
    Advanced Calculus is a rigorous upper-level mathematics textbook by Lynn Harold Loomis (later revised by Shlomo Sternberg) that develops multivariable calculus and analysis with a strong emphasis on proofs and theoretical foundations.
  • B. Calculus Made Easy
    Calculus Made Easy is a classic introductory mathematics book that simplifies and demystifies the fundamental concepts of calculus for beginners.
  • C. Functional Analysis: Introduction to Further Topics in Analysis
    "Functional Analysis: Introduction to Further Topics in Analysis" is an advanced graduate-level textbook by Elias Stein that develops modern functional analysis with applications to areas such as operator theory, harmonic analysis, and partial differential equations.
  • D. A Course of Pure Mathematics
    A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
  • E. Lezioni di calcolo differenziale assoluto
    "Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
  • 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.