...way. We have merely indicated the transformations which must be applied to the portion JDUdxdydz ... of the variation SF; because since these transformations...mention was made of M. Delaunay. With respect to M. Sarrus the judges said that, by the aid of a new symbol, which he calls a sign of substitution, he...

...way. We have merely indicated the transformations which must be applied to the portion jDUdxdydz ... of the variation SF; because since these transformations...completely the maxima and minima of multiple integrals, the formulae to be applied to triple integrals. Four memoirs were sent in which were examined by MM. Liouville,...

...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...

...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....

...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....