 | Isaac Todhunter - Calculus of variations - 1861 - 578 pages
...way. We have merely indicated the transformations which must be applied to the portion fDUdxdydz ... of the variation SF; because since these transformations...mention was made of M. Delaunay. With respect to M. Sarras the judges said that, by the aid of a new symbol, which he calls a sign of substitution, he... | |
 | Lewis Buffett Carll - Calculus of variations - 1890 - 602 pages
...discovered, the Academy of Science, Paris, 1842, proposed for its mathematical prize the following subject: To find the limiting equations which must be combined...; the formulas to be applied to triple integrals. Of the four memoirs presented, that by Sarrus was adjudged worthy of the prize, while that by Delaunay... | |
 | Florian Cajori - Mathematics - 1893 - 478 pages
...Eisenlohr, S. Spitzer, Hesse, and Clebsch. An important memoir by Sarrus on the question of determining the limiting equations which must be combined with...completely the maxima and minima of multiple integrals, was awarded a prize by the French Academy in 1845, honourable mention being made of a paper by Delaunay.... | |
 | Florian Cajori - Mathematics - 1898 - 512 pages
...Eisenlohr, S. Spitzer, Hesse, and Clebsch. An important memoir by Sarrus on the question of determining the limiting equations which must be combined with...completely the maxima and minima of multiple integrals, was awarded a prize by the French Academy in 1845, honourable mention being made of a paper by Delaunay.... | |
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It is true that one of the fundamental principles of this method consists in removing as much as possible the differential coefficients of the variations which occur under the integral sign; but the calculus of variations only indicates this operation... 