Triple
T2408436
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Elementary Mathematics from an Advanced Standpoint |
E50329
|
entity |
| Predicate | volume |
P1567
|
FINISHED |
| Object |
Precision and Approximation
"Precision and Approximation" is a volume in Felix Klein’s influential series *Elementary Mathematics from an Advanced Standpoint*, focusing on the rigorous treatment of numerical accuracy, error analysis, and approximation methods in mathematics.
|
E262447
|
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: Precision and Approximation | Statement: [Elementary Mathematics from an Advanced Standpoint, volume, Precision and Approximation]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Precision and Approximation Context triple: [Elementary Mathematics from an Advanced Standpoint, volume, Precision and Approximation]
-
A.
Margin for Error
"Margin for Error" is a 1939 satirical play by Clare Boothe Luce that blends comedy and political commentary around a murder mystery involving a Nazi consul in New York.
-
B.
Euler’s method for numerical integration
Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
-
C.
Knowledge and Error
"Knowledge and Error" is a philosophical work by Ernst Mach that examines the nature, limits, and development of human knowledge through the lens of empirical science and psychology.
-
D.
Simpson's rule
Simpson's rule is a numerical integration technique that approximates the area under a curve by fitting parabolas through groups of data points.
-
E.
Gaussian law of error
The Gaussian law of error is a fundamental statistical principle stating that measurement errors tend to follow a normal (bell-shaped) distribution, forming the basis of much of probability theory and statistical inference.
- 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: Precision and Approximation Triple: [Elementary Mathematics from an Advanced Standpoint, volume, Precision and Approximation]
Generated description
"Precision and Approximation" is a volume in Felix Klein’s influential series *Elementary Mathematics from an Advanced Standpoint*, focusing on the rigorous treatment of numerical accuracy, error analysis, and approximation methods in mathematics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Precision and Approximation Target entity description: "Precision and Approximation" is a volume in Felix Klein’s influential series *Elementary Mathematics from an Advanced Standpoint*, focusing on the rigorous treatment of numerical accuracy, error analysis, and approximation methods in mathematics.
-
A.
Margin for Error
"Margin for Error" is a 1939 satirical play by Clare Boothe Luce that blends comedy and political commentary around a murder mystery involving a Nazi consul in New York.
-
B.
Euler’s method for numerical integration
Euler’s method for numerical integration is a simple first-order numerical procedure used to approximate solutions to ordinary differential equations by stepping forward in small increments.
-
C.
Knowledge and Error
"Knowledge and Error" is a philosophical work by Ernst Mach that examines the nature, limits, and development of human knowledge through the lens of empirical science and psychology.
-
D.
Simpson's rule
Simpson's rule is a numerical integration technique that approximates the area under a curve by fitting parabolas through groups of data points.
-
E.
Gaussian law of error
The Gaussian law of error is a fundamental statistical principle stating that measurement errors tend to follow a normal (bell-shaped) distribution, forming the basis of much of probability theory and statistical inference.
- 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_69a88b0339a88190a1207333cd271cc9 |
completed | March 4, 2026, 7:41 p.m. |
| NER | Named-entity recognition | batch_69abc92408308190ad2d331ebee71d15 |
completed | March 7, 2026, 6:43 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69aeb3eba9d08190a2c63e590e08b4df |
completed | March 9, 2026, 11:50 a.m. |
| NEDg | Description generation | batch_69aeb4a5e9c481908426fe51343a1342 |
completed | March 9, 2026, 11:53 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69aeb52bec1881909c589aea2af3684c |
completed | March 9, 2026, 11:55 a.m. |
Created at: March 4, 2026, 7:58 p.m.