The Collected Mathematical Papers of Arthur Cayley volume 13
The Collected Mathematical Papers of Arthur Cayley volume 13
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In our eReader you can find the full English version of the book. Read The Collected Mathematical Papers of Arthur Cayley volume 13 Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Collected Mathematical Papers of Arthur Cayley volume 13
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M (r 1) n . Rv> r - r ~ l divisible by 1. 2 .... R; for then, writing NX for x, the form of the coefficient would have been and there would be no value (however great) of N by which the denominator factor w jr. R+i could be got rid of.
358 T941 941.
NOTE ON THE PARTIAL DIFFERENTIAL EQUATION [From the Quarterly Journal of Pure and Applied Mathematics, vol. Xxvi. (1893), pp. 1-5. ] IT is well known that this equation, R, S, T, U, V being any functions whatever of (x, y, z, p, q), in the case wher...e u admits of an integral of the form uf(v) (u, v functions of x, y, z, p, q, and f an arbitrary functional symbol) can be integrated as follows; viz. Taking 7n l, m 2 as the roots of the quadratic equation (that is, writing m l + ra 2 = S and m 1 m 2 = RT UV), then, m^ denoting either root at pleasure, and ra 2 the other root of the quadratic equation, if the system of ordinary differential equations m^dx R dy + Udq = 0, - T dx + m^dy + U dp = 0, V dx + m 2 dq + R dp = 0, - Vdy + T dq + m-^dp = 0, p dx q dy + dz = 0, (equivalent to three independent equations) admits of two integrals u = const, and v = const.
What to read after The Collected Mathematical Papers of Arthur Cayley volume 13?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Cayley to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
M (r 1) n . Rv> r - r ~ l divisible by 1. 2 .... R; for then, writing NX for x, the form of the coefficient would have been and there would be no value (however great) of N by which the denominator factor w jr. R+i could be got rid of.
358 T941 941.
NOTE ON THE PARTIAL DIFFERENTIAL EQUATION [From the Quarterly Journal of Pure and Applied Mathematics, vol. Xxvi. (1893), pp. 1-5. ] IT is well known that this equation, R, S, T, U, V being any functions whatever of (x, y, z, p, q), in the case wher...e u admits of an integral of the form uf(v) (u, v functions of x, y, z, p, q, and f an arbitrary functional symbol) can be integrated as follows; viz. Taking 7n l, m 2 as the roots of the quadratic equation (that is, writing m l + ra 2 = S and m 1 m 2 = RT UV), then, m^ denoting either root at pleasure, and ra 2 the other root of the quadratic equation, if the system of ordinary differential equations m^dx R dy + Udq = 0, - T dx + m^dy + U dp = 0, V dx + m 2 dq + R dp = 0, - Vdy + T dq + m-^dp = 0, p dx q dy + dz = 0, (equivalent to three independent equations) admits of two integrals u = const, and v = const.
What to read after The Collected Mathematical Papers of Arthur Cayley volume 13?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Cayley to read onlineMoreLess
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