The Discriminant of Hills Equation
The Discriminant of Hills Equation
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In our eReader you can find the full English version of the book. Read The Discriminant of Hills Equation 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 Discriminant of Hills Equation
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-27- 17 ^" - -^ co-^g"(o) g"(x)sin a(n-2x)dx = 0(jmI"9), (U. 70) In the first iterated integral of Equation (U. 67), it is advantageous to inter- change the order of integration. Thus I g"(x)dx f g'"(xi)sin co(n-2x+2x-L)dxi = (U. 71) Jo -'o r g"'(x^)dx^ \ g"(x)sin co(n-2x+2x3^)dx. Jo Jx^ Integration by parts yields / g"(x)sin m(7i-2x+2xi)dx = |a)"-'-g"(o)cos co(n-2xi) (U. 72) - ^" g"(x2) cos ncc - i^""^ / g"' (x) cos a)(TT-2x+2x-j_) dx. Thus g"(o) / g'" (xi)cos cD(n-2x^)dx-L Jo / g"' (xi)g"(xi)...dx -'o ^-8 r g'" (x^)dx^ ( g"' (x)cos co(n-. 2x+2xi)dx.
^-"^ J g"(x)dx J g"' (x-L)sin co(n-2x+2xi)dxi = (1^. 73) 1 ^-8. 128 1 fi -^-oo~°cos nm 128 _o Since g'" (x) is of bounded variation, one has -28- 1.
-1> g"' (x-l) cos co(n-2X]^)dxi = Odcol"-^), (U. 7U) g'" (x) cos u(Tt-2x+2x-, ^)dx = OClcol" ), also / g"' (xi)g"(xi)dx-L = 0. Jo (U. 75) Hence, the entire integral expression on the left hand side of Equation (U. 73) is 0(ia>r^). One now has 1 7 5o = — co~'sin Ttco ^ 6U /'Ti g"(x)^dx (b. 76) ^-7 f g"(x)dx j g"(xi)[ j gd?
What to read after The Discriminant of Hills Equation?
You can find similar books in the "Read Also" column, or choose other free books by David L Jagerman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
-27- 17 ^" - -^ co-^g"(o) g"(x)sin a(n-2x)dx = 0(jmI"9), (U. 70) In the first iterated integral of Equation (U. 67), it is advantageous to inter- change the order of integration. Thus I g"(x)dx f g'"(xi)sin co(n-2x+2x-L)dxi = (U. 71) Jo -'o r g"'(x^)dx^ \ g"(x)sin co(n-2x+2x3^)dx. Jo Jx^ Integration by parts yields / g"(x)sin m(7i-2x+2xi)dx = |a)"-'-g"(o)cos co(n-2xi) (U. 72) - ^" g"(x2) cos ncc - i^""^ / g"' (x) cos a)(TT-2x+2x-j_) dx. Thus g"(o) / g'" (xi)cos cD(n-2x^)dx-L Jo / g"' (xi)g"(xi)...dx -'o ^-8 r g'" (x^)dx^ ( g"' (x)cos co(n-. 2x+2xi)dx.
^-"^ J g"(x)dx J g"' (x-L)sin co(n-2x+2xi)dxi = (1^. 73) 1 ^-8. 128 1 fi -^-oo~°cos nm 128 _o Since g'" (x) is of bounded variation, one has -28- 1.
-1> g"' (x-l) cos co(n-2X]^)dxi = Odcol"-^), (U. 7U) g'" (x) cos u(Tt-2x+2x-, ^)dx = OClcol" ), also / g"' (xi)g"(xi)dx-L = 0. Jo (U. 75) Hence, the entire integral expression on the left hand side of Equation (U. 73) is 0(ia>r^). One now has 1 7 5o = — co~'sin Ttco ^ 6U /'Ti g"(x)^dx (b. 76) ^-7 f g"(x)dx j g"(xi)[ j gd?
What to read after The Discriminant of Hills Equation?
You can find similar books in the "Read Also" column, or choose other free books by David L Jagerman to read onlineMoreLess
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