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.