Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 128
... coordinates . 10.2 Conduction of Heat in an Infinite Insulated Plate . Cartesian Coordinates Consider the conduction of heat in an infinite insulated plate lying in the x , y coordinate plane . Let c represent the specific heat , p the ...
... coordinates . 10.2 Conduction of Heat in an Infinite Insulated Plate . Cartesian Coordinates Consider the conduction of heat in an infinite insulated plate lying in the x , y coordinate plane . Let c represent the specific heat , p the ...
Página 131
... Coordinates In a large number of problems on the conduction of heat in an infinite insulated plate the initial temperature distribution is a function only of the distance r from the origin of coordinates . In such cases it is much more ...
... Coordinates In a large number of problems on the conduction of heat in an infinite insulated plate the initial temperature distribution is a function only of the distance r from the origin of coordinates . In such cases it is much more ...
Página 132
Gerald Goertzel, Nunzio Tralli. more convenient to use polar coordinates than cartesian coordinates . In general , two methods of procedure are available , namely : 1. Transform the original problem , Eq . ( 10.1 ) , to polar coordinates ...
Gerald Goertzel, Nunzio Tralli. more convenient to use polar coordinates than cartesian coordinates . In general , two methods of procedure are available , namely : 1. Transform the original problem , Eq . ( 10.1 ) , to polar coordinates ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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approximation arbitrary ax² basis Bessel functions boundary conditions Chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal differential equation Dirac notation domain eigencolumns eigenfunctions eigenvectors elements evaluate expansion F₁ finite number follows formula Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplacian linear operator linearly independent lowest eigenvalue Mathematical matrix McGraw-Hill Book Company method multiplication nonsingular normal number of degrees obtained orthonormality conditions Physics problem relations representation result Ritz method scattering sinh solution solve spherical spherical harmonics string Substitution theorem transform trial functions vanish variable vector space Verify w₁ wave write written x₁ Y₁ yields York zero ηπχ ди ду дх