Calculs d'originaux par la méthode des résidus
English translation: calculation of originals with the residual method
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| 22:21 Nov 10, 2008 |
| French to English translations [PRO] Tech/Engineering - Mathematics & Statistics / discrete-time signals | |||||||
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|  Selected response from: Bourth (X) Local time: 18:45 | ||||||
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| 4 | Integration by the method of residues |
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| 3 | calculation of originals with the residual method |
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| 3 | integration by residues |
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Answers
1 hr confidence: 
calculation of originals with the residual method Explanation: 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... - -------------------------------------------------- Note added at 9 hrs (2008-11-11 08:03:37 GMT) -------------------------------------------------- Yes, forgot to say I had no idea about "calcul d'originaux"! |
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9 hrs confidence:
Integration by the method of residues Explanation: 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! |
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8 hrs confidence:
integration by residues Explanation: http://www.physics.miami.edu/~korotkova/PHY615_Lecture8.pdf 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. -------------------------------------------------- Note added at 2 days7 hrs (2008-11-13 06:18:35 GMT) Post-grading -------------------------------------------------- find out Reference: http://en.wikipedia.org/wiki/Residue_theorem Reference: http://www.jstor.org/pss/2028267 |
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