Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 128
... plane polar coordinates and in both finite and infinite domains . The procedure to be used is the consideration of a ... plane polar coordinates . 10.2 Conduction of Heat in an Infinite Insulated Plate . Cartesian Coordinates Consider ...
... plane polar coordinates and in both finite and infinite domains . The procedure to be used is the consideration of a ... plane polar coordinates . 10.2 Conduction of Heat in an Infinite Insulated Plate . Cartesian Coordinates Consider ...
Página 130
... plane sheet furnishes one with the opportunity to study this same operator in the finite domain 0 < x < L , 0 ≤ y ≤ L. Take two cartesian co- ordinates x and y in the equilibrium plane of the membrane and denote by y ( x , y , t ) the ...
... plane sheet furnishes one with the opportunity to study this same operator in the finite domain 0 < x < L , 0 ≤ y ≤ L. Take two cartesian co- ordinates x and y in the equilibrium plane of the membrane and denote by y ( x , y , t ) the ...
Página 264
... plane . Let us suppose that t≥ 0 so that the semicircle will lie in the upper half of the z plane . We shall see that whether the semicircle of radius p lies in the upper or lower half of the z plane has no effect on the value of I1⁄2 ...
... plane . Let us suppose that t≥ 0 so that the semicircle will lie in the upper half of the z plane . We shall see that whether the semicircle of radius p lies in the upper or lower half of the z plane has no effect on the value of I1⁄2 ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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Términos y frases comunes
approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх