Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 7
... elements of the matrix m . For the purpose of display of the matrix m one writes mil m12 m13 Min M2n M21 M22 M23 ( 1.17 ) ... Man m = M31 M32 M33 . ... Mn1 Mn2 Mn3 Mnn ! To find the element m1 , one looks at the intersection of the ith ...
... elements of the matrix m . For the purpose of display of the matrix m one writes mil m12 m13 Min M2n M21 M22 M23 ( 1.17 ) ... Man m = M31 M32 M33 . ... Mn1 Mn2 Mn3 Mnn ! To find the element m1 , one looks at the intersection of the ith ...
Página 10
... element of one equals the corresponding element of the other . Thus , if m and p are matrices and x and y are columns ( or rows ) , m p implies m¡¡ x = y implies x ; = = Pij all i and j all i Yi ( 1.26 ) To multiply a matrix by a scalar ...
... element of one equals the corresponding element of the other . Thus , if m and p are matrices and x and y are columns ( or rows ) , m p implies m¡¡ x = y implies x ; = = Pij all i and j all i Yi ( 1.26 ) To multiply a matrix by a scalar ...
Página 12
Gerald Goertzel, Nunzio Tralli. its elements along the main diagonal ( the elements I ) are unity and all others are zero ... element of x ; then multiply the second element from the left of z by the second element from the top of x ...
Gerald Goertzel, Nunzio Tralli. its elements along the main diagonal ( the elements I ) are unity and all others are zero ... element of x ; then multiply the second element from the left of z by the second element from the top of x ...
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