On the Reduction of the Hyperelliptic Integrals P3 to Elliptic Integrals By T
On the Reduction of the Hyperelliptic Integrals P3 to Elliptic Integrals By T
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In our eReader you can find the full English version of the book. Read On the Reduction of the Hyperelliptic Integrals P3 to Elliptic Integrals By T 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 On the Reduction of the Hyperelliptic Integrals P3 to Elliptic Integrals By T
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Also r = ^=~- (J, ip^^ - T, x') (24) has for its first polar ^with regard to an arbitrary parameter the cubic involution itself, i . E F ^ F. . . '. The reducible integral § 1 (4) has the form {ip — X) {Xdx) [ I'Cs'V + '. X) r=r, r^-3r;. (25) — 12 - The transformation (26) Z/i = U y, = V can by a linear transformation of the elliptic integral, he thrown into the form r ^ r ==0, which may be expressed thus, — %Cr y ''' — * dx, y^ ~ ^ dx^' Let us examine the form of the elliptic integral. Before ...reduction we have the hyperelliptic in the form ■0- {xdx) i {xd, y {xe, ) (xd. ^^^ (xe, ) r^Tj^'r' and by the transformation (26) X e, . -. Q (xd, Y K^e, ) {xd. ^^ {xe^ = (ye\) ye, ) = {L, ip^y) + Liy)) (28) and r, ^ r^ r. - ^ j^^^' ^ ^^X) (yfi) = say (?/) and we also have (29) 0/'/^) ^ i^i> {ocdx) ^-) . '. After reduction our elliptic integral has the form ^ ijiM (30) ^ J ^~^, ipiy) + J, x(y)] g^y) where C is some constant. The expression F ^ F ' ^ FT ' can be thrown into a more serviceable ^ X X /.
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To quickly assess the difficulty of the text, read a short excerpt:
Also r = ^=~- (J, ip^^ - T, x') (24) has for its first polar ^with regard to an arbitrary parameter the cubic involution itself, i . E F ^ F. . . '. The reducible integral § 1 (4) has the form {ip — X) {Xdx) [ I'Cs'V + '. X) r=r, r^-3r;. (25) — 12 - The transformation (26) Z/i = U y, = V can by a linear transformation of the elliptic integral, he thrown into the form r ^ r ==0, which may be expressed thus, — %Cr y ''' — * dx, y^ ~ ^ dx^' Let us examine the form of the elliptic integral. Before ...reduction we have the hyperelliptic in the form ■0- {xdx) i {xd, y {xe, ) (xd. ^^^ (xe, ) r^Tj^'r' and by the transformation (26) X e, . -. Q (xd, Y K^e, ) {xd. ^^ {xe^ = (ye\) ye, ) = {L, ip^y) + Liy)) (28) and r, ^ r^ r. - ^ j^^^' ^ ^^X) (yfi) = say (?/) and we also have (29) 0/'/^) ^ i^i> {ocdx) ^-) . '. After reduction our elliptic integral has the form ^ ijiM (30) ^ J ^~^, ipiy) + J, x(y)] g^y) where C is some constant. The expression F ^ F ' ^ FT ' can be thrown into a more serviceable ^ X X /.
What to read after On the Reduction of the Hyperelliptic Integrals P3 to Elliptic Integrals By T?
You can find similar books in the "Read Also" column, or choose other free books by William Gillespie to read onlineMoreLess
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