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 |
The Laplacian V² in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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Términos y frases comunes
approximate arbitrary asymptotic ax² base vectors basis Bessel functions boundary conditions Chap coefficients consider constant continuous systems contour corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal diagonalizable differential equation Dirac notation eigen eigencolumns eigenfunctions eigenvalue problem eigenvectors elements evaluate expansion finite number follows formula given Green's function Hence Hermitian matrix Hermitian operator infinite integral representation integral theorem inverse Laplace transform linear operator linearly independent lowest eigenvalue matrix McGraw-Hill Book Company method multiplication nonsingular normal matrix obtained orthonormality conditions perturbation procedure relations result Ritz method satisfies scattering sinh solution solve spherical substitution transformation functions trial functions vanish variable vector space Verify wave whence write written x₁ y₁ yields York zero ηπχ παχ ди ду дх