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verhält sich quadratisch

English translation: is in a quadratic relationship

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
German term or phrase:verhält sich quadratisch
English translation:is in a quadratic relationship
Entered by: Claire Cox

15:56 Jun 30, 2010
German to English translations [PRO]
Science - Mathematics & Statistics / ontology
German term or phrase: verhält sich quadratisch
This is taken from a philosophical paper on ontology vs. reality, but I suspect this term is straight from Maths and my A'level maths was an awful long time ago....

Nehmen wir an, wir hätten eine Menge O mit n Objekten Ob. Dann können zwischen den n Objekten (n*(n-1))/2 binäre Relationen Rel gezogen werden, die Zahl der potentiellen binären Relationen N(Rel) verhält sich zur Zahl der Objekte N(Ob) somit quadratisch.

Does this just mean that the number of potential binary relations is the square of the number of objects?

Or have I misunderstood completely?

I'd appreciate your comments.

Many thanks.
Claire Cox
United Kingdom
Local time: 05:38
in quadratic relationship
Explanation:
Just look at the formula n*(n-1))/2 = 0.5* (n**2 - n) so there is n squared (n**2) there and, as "n squared" increases much more than (n-1) as n increases, the quadratic relationship is almost complete
Selected response from:

meirs
Israel
Local time: 07:38
Grading comment
Many thanks
4 KudoZ points were awarded for this answer



Summary of answers provided
4 +2in quadratic relationship
meirs


Discussion entries: 2





  

Answers


6 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +2
in quadratic relationship


Explanation:
Just look at the formula n*(n-1))/2 = 0.5* (n**2 - n) so there is n squared (n**2) there and, as "n squared" increases much more than (n-1) as n increases, the quadratic relationship is almost complete

meirs
Israel
Local time: 07:38
Native speaker of: Native in HebrewHebrew, Native in RomanianRomanian
PRO pts in category: 4
Grading comment
Many thanks

Peer comments on this answer (and responses from the answerer)
agree  Lirka: http://www.staff.vu.edu.au/mcaonline/units/graphs/quads.html
36 mins
agree  Rolf Keiser
57 mins
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