Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 36
... Solve Eq . ( 1.13 ) . 5. Solve Eq . ( 1.14 ) . 6. Solve Eq . ( 1.15 ) . 7. Let SAS - 1 315 ( 3 ) " 1 M = 000 100 0 1 0 If f ( x ) has a convergent power series about x = O , show that f ( M ) = f ( 0 ) + Mƒ ' ( 0 ) + M2 2 ! -ƒ " ( 0 ) 8 ...
... Solve Eq . ( 1.13 ) . 5. Solve Eq . ( 1.14 ) . 6. Solve Eq . ( 1.15 ) . 7. Let SAS - 1 315 ( 3 ) " 1 M = 000 100 0 1 0 If f ( x ) has a convergent power series about x = O , show that f ( M ) = f ( 0 ) + Mƒ ' ( 0 ) + M2 2 ! -ƒ " ( 0 ) 8 ...
Página 48
... Solve the equations 4. Solve the equations 37 ( 19 ) " 3 x = ẞdx - B2y βδχ βγ y = 82x dẞy δβν ― x = ax + By + 1 j = Bx tay +1 x ( 0 ) = y ( 0 ) = 0 5. Solve by the Laplace transform method Eqs . ( 48 SYSTEMS WITH A FINITE NUMBER OF ...
... Solve the equations 4. Solve the equations 37 ( 19 ) " 3 x = ẞdx - B2y βδχ βγ y = 82x dẞy δβν ― x = ax + By + 1 j = Bx tay +1 x ( 0 ) = y ( 0 ) = 0 5. Solve by the Laplace transform method Eqs . ( 48 SYSTEMS WITH A FINITE NUMBER OF ...
Página 94
... Solve the problem of the temperature distribution in a slab of length L , given that the initial temperature is an arbitrary function of x , but that at all times after t O the two faces ( at x maintained at temperature T = 0 . = = 0 ...
... Solve the problem of the temperature distribution in a slab of length L , given that the initial temperature is an arbitrary function of x , but that at all times after t O the two faces ( at x maintained at temperature T = 0 . = = 0 ...
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
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analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх