Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 7
... number of degrees of freedom is the num- ber of dependent variables n , so that a finite number of degrees of freedom implies finite n . The phrase properties independent of time states that the quantities m1 , are constants . 1.3 ...
... number of degrees of freedom is the num- ber of dependent variables n , so that a finite number of degrees of freedom implies finite n . The phrase properties independent of time states that the quantities m1 , are constants . 1.3 ...
Página 10
... number of columns and the same number of rows as the other . In this case , the matrices are equal if each element of one equals the corresponding element of the other . Thus , if m and p are matrices and x ... NUMBER OF DEGREES OF FREEDOM.
... number of columns and the same number of rows as the other . In this case , the matrices are equal if each element of one equals the corresponding element of the other . Thus , if m and p are matrices and x ... NUMBER OF DEGREES OF FREEDOM.
Página 236
... number of degrees of freedom may be replaced by similar ones which involve only a finite number of degrees of freedom will be discussed . The advantage of such a replacement lies in the fact that problems with a finite number of degrees ...
... number of degrees of freedom may be replaced by similar ones which involve only a finite number of degrees of freedom will be discussed . The advantage of such a replacement lies in the fact that problems with a finite number of degrees ...
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