Glossary entry (derived from question below)
French term or phrase:
Calculs d'originaux par la méthode des résidus
English translation:
calculation of originals with the residual method
Added to glossary by
Eric Heuberger
Nov 10, 2008 22:21
15 yrs ago
French term
Calculs d'originaux par la méthode des résidus
French to English
Tech/Engineering
Mathematics & Statistics
discrete-time signals
Application of Taylor series, sequences for the solution to differential equations, etc...
I appreciate all contributions from translators who are literate in math!
I appreciate all contributions from translators who are literate in math!
Proposed translations
(English)
3 | calculation of originals with the residual method | Bourth (X) |
4 | Integration by the method of residues | chris collister |
3 | integration by residues | a05 |
Change log
Nov 10, 2008 22:21: changed "Kudoz queue" from "In queue" to "Public"
Proposed translations
1 hr
Selected
calculation of originals with the residual method
Apparently there are at least two residual methods: weighted (pondérée) and generalized minimal (généralisée à minima)
In mathematics, the generalized minimal residual method (usually abbreviated GMRES) is an iterative method for the numerical solution of a system of linear equations. The method approximates the solution by the vector in a Krylov subspace with minimal residual. The Arnoldi iteration is used to find this vector.
The GMRES method was developed by Yousef Saad and Martin H. Schultz in 1986.[1]
http://en.wikipedia.org/wiki/GMRES
L'algorithme de GMRES est essentiellement une méthode des résidus minima: il con ..... Brown et Saad [B3] ont démontré que si Jn est non singulière et si le ...
ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-1234.pd... -
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Note added at 9 hrs (2008-11-11 08:03:37 GMT)
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Yes, forgot to say I had no idea about "calcul d'originaux"!
In mathematics, the generalized minimal residual method (usually abbreviated GMRES) is an iterative method for the numerical solution of a system of linear equations. The method approximates the solution by the vector in a Krylov subspace with minimal residual. The Arnoldi iteration is used to find this vector.
The GMRES method was developed by Yousef Saad and Martin H. Schultz in 1986.[1]
http://en.wikipedia.org/wiki/GMRES
L'algorithme de GMRES est essentiellement une méthode des résidus minima: il con ..... Brown et Saad [B3] ont démontré que si Jn est non singulière et si le ...
ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-1234.pd... -
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Note added at 9 hrs (2008-11-11 08:03:37 GMT)
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Yes, forgot to say I had no idea about "calcul d'originaux"!
Note from asker:
Thanks. Your explanation proved quite helpful in establishing a consensus on an apparently quite academic term (although it seems that math is classically academic). Thank you. |
4 KudoZ points awarded for this answer.
Comment: "Thank you very much. "
9 hrs
Integration by the method of residues
The method of residues was discovered by Cauchy over 100 years ago, and involves integrating a complex (ie with real and imaginary parts) function along a closed path. Its simplicity is so startling I practically fell off my chair when I came across it over 30 years ago!
8 hrs
integration by residues
http://www.physics.miami.edu/~korotkova/PHY615_Lecture8.pdf
Calculs d'originaux is a French term for integration.
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Note added at 2 days7 hrs (2008-11-13 06:17:39 GMT) Post-grading
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You are right that this term can be found only in French cirriculums of the 1st year maths. This is the lead to its context, integration. Two functions are involved, "primitive" and "derivative". Integration is a procedure of finding the primitive (which they mean by "original") once its derivative is given. In more conventional language, the primitive is the integral. I strongly believe that "calculation of originals" will never prompt the right idea (integration) to an English-speaking mathematician.
Regarding Google, I am old enough to remember that paper textbooks also contain some wisdom, not necessarily found in Google. If one has time one may try to find our who used what set of terms among the founders of this science (Newton, Leibnitz, Cauchy, etc.), poor guys who had to do without Google.
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Note added at 2 days7 hrs (2008-11-13 06:18:35 GMT) Post-grading
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find out
Calculs d'originaux is a French term for integration.
--------------------------------------------------
Note added at 2 days7 hrs (2008-11-13 06:17:39 GMT) Post-grading
--------------------------------------------------
You are right that this term can be found only in French cirriculums of the 1st year maths. This is the lead to its context, integration. Two functions are involved, "primitive" and "derivative". Integration is a procedure of finding the primitive (which they mean by "original") once its derivative is given. In more conventional language, the primitive is the integral. I strongly believe that "calculation of originals" will never prompt the right idea (integration) to an English-speaking mathematician.
Regarding Google, I am old enough to remember that paper textbooks also contain some wisdom, not necessarily found in Google. If one has time one may try to find our who used what set of terms among the founders of this science (Newton, Leibnitz, Cauchy, etc.), poor guys who had to do without Google.
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Note added at 2 days7 hrs (2008-11-13 06:18:35 GMT) Post-grading
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find out
Note from asker:
Your answer was quite good, but I went with the order in which they came in, to be mathematical about it. |
Peer comment(s):
neutral |
Nihil Credo
: Had you seen the phrase "calculs d'originaux" used with that meaning before? I had never heard of it, and it has barely any Google hit.
4 hrs
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