Precision and Approximation
E262447
"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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Precision and Approximation canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T2408436 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
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.
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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.
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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.
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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.
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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.
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
Statements (26)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
nonfiction book ⓘ volume in a series ⓘ |
| aimsTo | bridge elementary mathematics and higher analysis ⓘ |
| author | Felix Klein ⓘ |
| educationalLevel |
advanced undergraduate
ⓘ
graduate ⓘ |
| focusesOn |
rigorous treatment of approximation methods
ⓘ
rigorous treatment of error analysis ⓘ rigorous treatment of numerical accuracy ⓘ |
| genre |
mathematics
ⓘ
mathematics education ⓘ |
| hasPerspective | advanced standpoint on elementary mathematics ⓘ |
| historicalContext | early 20th-century mathematics education reforms ⓘ |
| influencedBy | Felix Klein's program for reforming mathematics education ⓘ |
| isVolumeOf |
Elementary Mathematics from an Advanced Standpoint
ⓘ
surface form:
Felix Klein’s Elementary Mathematics from an Advanced Standpoint series
|
| language | German ⓘ |
| mainSubject |
approximation methods
ⓘ
error analysis ⓘ numerical accuracy ⓘ numerical analysis ⓘ |
| partOfSeries | Elementary Mathematics from an Advanced Standpoint ⓘ |
| relatedTo |
calculus
ⓘ
numerical computation ⓘ real analysis ⓘ |
| title | Precision and Approximation self-link ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Subject: Precision and Approximation Description of subject: "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.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.