The book Uvres De Lagrange 9 was written by author Lagrange, J. L. (Joseph Louis), 1736-1813 Here you can read free online of Uvres De Lagrange 9 book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Uvres De Lagrange 9 a good or bad book?
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On prendra la fonction prime de F(j), et, si F'(7) devient infini lorsque j'= &, la valeur i ne sera qu'une valeur singulière; sinon, elle sera une valeur particulière. Soit F(j) = K(j-è)-, m étant >o et K une constante; on aura F'(j) = mK(7-6)'"-', ilG THÉORIE DES FONCTIONS. quantité qui devient infinie lorsque /no et I. En effet, l'équation étant divisée par (j — b)'" et mise sous la-forme (r — b)'"'y—K — o, a pour équation primitive [r-b]'-'" -. I — m a étant la constante arbitrai...re, d'où l'on tire 1 j= b + [(m — 1) (rt + lix]]'-'". Donc, pour que l'on ait j'= b, il faudra que la quantité (a ■+- Kic)'"'" devienne nulle. Or, si w> o et i, alors, l'exposant --^ — 1 devenant négatif, la quantité (a + Ka;)'~"' deviendra nulle lorsque a sera infini; car, faisant «= -5 cette quantité deviendra [i + Kcx]""'- laquelle devient zéro lorsque c = o.
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