Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 28
... shown that A has at least as many linearly independent eigencolumns as it has distinct eigenvalues . Thus , let these distinct eigenvalues be denoted λ ,, with i taking on a value for each distinct eigen- value , and let the ...
... shown that A has at least as many linearly independent eigencolumns as it has distinct eigenvalues . Thus , let these distinct eigenvalues be denoted λ ,, with i taking on a value for each distinct eigen- value , and let the ...
Página 73
... RC Line Consider the network shown in Fig . 6.1 . Then one might be interested in solving the following problem : Given : e ( 0 ) and E ( t ) To find : e , ( t ) The equations 73 Periodic Structures 1 43 44 46 47 52 55 57 57 58 9 8 8 50 50.
... RC Line Consider the network shown in Fig . 6.1 . Then one might be interested in solving the following problem : Given : e ( 0 ) and E ( t ) To find : e , ( t ) The equations 73 Periodic Structures 1 43 44 46 47 52 55 57 57 58 9 8 8 50 50.
Página 236
... shown how an alteration of the model of the vibrating string leads to a system with a finite number of degrees of freedom and how one may then proceed to the determination of an approximate value for the eigenvalues . In Sec . 18.3 it ...
... shown how an alteration of the model of the vibrating string leads to a system with a finite number of degrees of freedom and how one may then proceed to the determination of an approximate value for the eigenvalues . In Sec . 18.3 it ...
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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Términos y frases comunes
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