Triple

T7600441
Position Surface form Disambiguated ID Type / Status
Subject Murray R. Spiegel E179968 entity
Predicate notableWork P4 FINISHED
Object Schaum's Outline of Mathematical Handbook of Formulas and Tables
Schaum's Outline of Mathematical Handbook of Formulas and Tables is a widely used reference book that compiles essential mathematical formulas, tables, and concepts for students and professionals across various fields.
E674675 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 Mathematical Handbook of Formulas and Tables | Statement: [Murray R. Spiegel, notableWork, Schaum's Outline of Mathematical Handbook of Formulas and Tables]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Mathematical Handbook of Formulas and Tables
Context triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Mathematical Handbook of Formulas and Tables]
  • A. Calculus Made Easy
    Calculus Made Easy is a classic introductory mathematics book that simplifies and demystifies the fundamental concepts of calculus for beginners.
  • B. Mathematical Tables and Other Aids to Computation
    Mathematical Tables and Other Aids to Computation was the original title of a pioneering journal devoted to numerical analysis, computational methods, and mathematical tables, later continued under the name Mathematics of Computation.
  • 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. 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. Prutenic Tables
    The Prutenic Tables were influential 16th-century astronomical tables based on Copernican heliocentric theory, used for predicting planetary positions before being superseded by more accurate works like the Rudolphine Tables.
  • 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 Mathematical Handbook of Formulas and Tables
Triple: [Murray R. Spiegel, notableWork, Schaum's Outline of Mathematical Handbook of Formulas and Tables]
Generated description
Schaum's Outline of Mathematical Handbook of Formulas and Tables is a widely used reference book that compiles essential mathematical formulas, tables, and concepts for students and professionals across various fields.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Schaum's Outline of Mathematical Handbook of Formulas and Tables
Target entity description: Schaum's Outline of Mathematical Handbook of Formulas and Tables is a widely used reference book that compiles essential mathematical formulas, tables, and concepts for students and professionals across various fields.
  • A. Calculus Made Easy
    Calculus Made Easy is a classic introductory mathematics book that simplifies and demystifies the fundamental concepts of calculus for beginners.
  • B. Mathematical Tables and Other Aids to Computation
    Mathematical Tables and Other Aids to Computation was the original title of a pioneering journal devoted to numerical analysis, computational methods, and mathematical tables, later continued under the name Mathematics of Computation.
  • 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. 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. Prutenic Tables
    The Prutenic Tables were influential 16th-century astronomical tables based on Copernican heliocentric theory, used for predicting planetary positions before being superseded by more accurate works like the Rudolphine Tables.
  • 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.