set builder notation

00:06 Jun 13, 2019
English to German translations [PRO]
Science - Mathematics & Statistics
English term or phrase: set builder notation
Math is not my forte, and I cannot for the life of me find the German equivalent for the English term "set builder notation." As in:
The sample space is {[1,1], [1,2], [1,3], [1,4], [1,5], [1,6], [2,1], … and so on}, or more simply, using set builder notation, it is {[x,y] | 1 ≤ x ≤ 6 , 1 ≤ y ≤ 6 }

Help any math wizards?
Heidi Lind
United States
Local time: 09:40


Summary of answers provided
4 +1beschreibende Darstellung / Notation von Mengen
Sascha Coridun
4beschreibende Schreibweise
Matthias Hausberg
3intensionale Mengennotation / intensionale Notation
D. I. Verrelli


Discussion entries: 1





  

Answers


11 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +1
beschreibende Darstellung / Notation von Mengen


Explanation:
Im Gegensatz zur aufzählenden Darstellung.

Siehe zum Beispiel:
https://www.mathe-lexikon.at/mengenlehre/grundlagen/darstell...

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Note added at 14 mins (2019-06-13 00:20:54 GMT)
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Das "von Mengen" kann in diesem Kontext weggelassen werden.

Sascha Coridun
Netherlands
Local time: 14:40
Native speaker of: Native in GermanGerman
Notes to answerer
Asker: Vielen Dank, Sascha. Das klingt plausibel.


Peer comments on this answer (and responses from the answerer)
neutral  D. I. Verrelli: Cf. https://www.youtube.com/watch?v=IWJ4yS53QeI Perhaps "beschreibend" is closer to a lay definition/explanation of the notation, whereas "set-builder" is very jargonistic — like "intensional".
26 days

agree  Matthias Hausberg: beschreibende Schreibweise / beschreibende Darstellung ist beides möglich.
305 days
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26 days   confidence: Answerer confidence 3/5Answerer confidence 3/5
set-builder notation
intensionale Mengennotation / intensionale Notation


Explanation:
https://de.wikipedia.org/wiki/Menge_(Mathematik)#Andere_Schr...
https://www.youtube.com/watch?v=IWJ4yS53QeI

https://en.wikipedia.org/wiki/Set-builder_notation#Sets_defi...
Note that the first section of the English WP article does not relate to set-builder notation. Note also the text in the introductory section: "Defining sets by properties is also known as set comprehension, set abstraction or as defining a set's intension."
The term "intension" there also corresponds nicely with the target word chosen.

https://de.wikipedia.org/wiki/Extension_und_Intension
https://en.wikipedia.org/wiki/Intension

D. I. Verrelli
Australia
Local time: 00:40
Specializes in field
Native speaker of: Native in EnglishEnglish
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305 days   confidence: Answerer confidence 4/5Answerer confidence 4/5
beschreibende Schreibweise


Explanation:
Ist im Prinzip der gleiche Vorschlag wie von Sascha.


    https://www.mathebibel.de/mengenschreibweise
Matthias Hausberg
Germany
Local time: 14:40
Specializes in field
Native speaker of: Native in GermanGerman
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