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Identifier: s2bulletindessci03fran (find matches)
Title: Bulletin des sciences mathématiques
Year: 1870 (1870s)
Authors: France. Ministère de l'éducation nationale
Subjects: Mathematics Astronomy
Publisher: Paris Gauthier-Villars
Contributing Library: Mathematical Sciences - University of Toronto
Digitizing Sponsor: University of Ottawa

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encore les s(k H- 1) expressions (3o) A!jB- 7 Un,m—. 5 1 A,,,= ) £,,„,-—^ -., A,.;i=\ f A^,= > t>l,m-, ï -.., Ak.n = J l>n,m- \ LUm 0am £jm (, 3.^ L,= damdl Y / Ôl T Y 7 ^i.m-:—? • • • , 1^= 7 MÉLANGES. m ou, en changeant les indices /*, m respectivement en y, fx, ? • ■ ■ » < a*,,=\ ^i,ht— •••» A*,,—y K+T~ (32 33) L,= <Zj(x UvÔa^ Zà+ v; .v0 et faisant la sommedes produits, nous obtiendrons des équations différentielles linéairespar rapport aux expressions (23), (32) et (33), de la forme (34) A«,»=o, où 35 (ht I ZdiZd* d_^_\dv S Ra.vH TT- Lv+ > > -5 r Zài\àxi\2ja dja dt ZucZjjOqn.j (hj y du d.r, I I >. PREMIÈRE PARTIE. ÔQs,; ÔK, (4o)
Text Appearing After Image:
l o, dl v Zjj àqa,j àxj 1 Zd*àftt * ZjiZjcdqa>i dxt doù lon doit conclure que les valeurs des R, A et L sont les so-lutions des équations (34), (36), (3p), (4°) et (41) analogues «àcelles dont les intégrales sont connues par le théorème de Jacobi(Journal de Crelle, t. 17). Le déterminant D des expressions (28)ou (29) nétant pas égal à zéro, on peut exprimer les s variationstronquées tàs en fonctions dautant de variables indépendantes tnou £v, en prenant les expressions (28) ou (29) pour coefficients deces variables, savoir (42) &t=y R*,n**j (43) w,=y RfffVfv, où les variables tn ou U doivent être considérées comme fonctionsarbitraires de xt, x^^ . . ., Xi. Avant de faire les substitutions de ces expressions des co,. danscelle de $2V, nous démontrerons deux égalités qui nous seront né-cessaires dans la transformation de $2V, que nous avons en vue.La première de ces égalités est » A * (44) v V V —(S — 2dnZ**Zdi* àx\_ Zà\Zdk dlk / MÉLANGES. n

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https://www.flickr.com/photos/internetarchivebookimages/14597194720/

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Volume
InfoField
03 ser.2
Flickr tags
InfoField
  • bookid:s2bulletindessci03fran
  • bookyear:1870
  • bookdecade:1870
  • bookcentury:1800
  • bookauthor:France__Minist__re_de_l___ducation_nationale
  • booksubject:Mathematics
  • booksubject:Astronomy
  • bookpublisher:Paris_Gauthier_Villars
  • bookcontributor:Mathematical_Sciences___University_of_Toronto
  • booksponsor:University_of_Ottawa
  • bookleafnumber:117
  • bookcollection:universityofottawa
  • bookcollection:mathematicalsciences
  • bookcollection:toronto
Flickr posted date
InfoField
30 July 2014


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