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conjugués harmoniques

English translation: harmonic conjugates

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
French term or phrase:conjugués harmoniques
English translation:harmonic conjugates
Entered by: Andy Tolle

17:31 Nov 4, 2008
French to English translations [PRO]
Science - Mathematics & Statistics / Geometry
French term or phrase: conjugués harmoniques
Sentences where this term is used:

-> Si deux points M et M' sont situés sur une même droite, ils sont conjugués harmoniques, par rapport aux points P et Q où la droite rencontre le cercle d'inversion.
-> Or les conjugués harmoniques, comme tout ce qui est rapport constant, sont faciles à réduire à une symétrie courbe, dans des réseaux de spirales logarithmiques.
Andy Tolle
Belgium
Local time: 19:25
harmonic conjugates
Explanation:
Dixit Wikipedia :
In mathematics, the harmonic conjugate of a harmonic real-valued function of two variables u(x,y), is a function v(x,y) such that v is harmonic and u and v satisfy the Cauchy-Riemann equations, that is, the complex-valued function u(x,y) + iv(x,y) = f(z) is analytic. The harmonic conjugate (when it exists, in a given connected region) is unique up to addition of a constant to v.

I certainly hope you understand more maths than me!
Selected response from:

Bourth (X)
Local time: 19:25
Grading comment
Thanks for the help!
4 KudoZ points were awarded for this answer



Summary of answers provided
4 +5harmonic conjugates
Bourth (X)


  

Answers


4 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): +5
harmonic conjugates


Explanation:
Dixit Wikipedia :
In mathematics, the harmonic conjugate of a harmonic real-valued function of two variables u(x,y), is a function v(x,y) such that v is harmonic and u and v satisfy the Cauchy-Riemann equations, that is, the complex-valued function u(x,y) + iv(x,y) = f(z) is analytic. The harmonic conjugate (when it exists, in a given connected region) is unique up to addition of a constant to v.

I certainly hope you understand more maths than me!

Bourth (X)
Local time: 19:25
Native speaker of: Native in EnglishEnglish
PRO pts in category: 29
Grading comment
Thanks for the help!
Notes to answerer
Asker: hehe, hardly... but this confirms the translation I made seems to be adequate.


Peer comments on this answer (and responses from the answerer)
agree  Sébastien Ricciardi: no doubt about it
3 hrs
agree  Jennifer Levey: Yes - That reminds me why I took up engineering, not pure maths. :)
3 hrs
agree  rkillings
11 hrs
agree  Subodh Jangid
12 hrs
agree  Radu DANAILA
14 hrs
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