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.