Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 10
Página 18
... linear superposition of the columns of the matrix . To proceed further , it is useful to introduce the concept of linear inde- pendence . A set of n columns is said to be linearly independent if there exists no linear combination of ...
... linear superposition of the columns of the matrix . To proceed further , it is useful to introduce the concept of linear inde- pendence . A set of n columns is said to be linearly independent if there exists no linear combination of ...
Página 25
... linear combination of the eigencolumns of A if and only if A has n linearly independent eigencolumns . Thus , if A has less than ʼn linearly independ- ent eigencolumns , the resultant linear superposition will depend on less than n ...
... linear combination of the eigencolumns of A if and only if A has n linearly independent eigencolumns . Thus , if A has less than ʼn linearly independ- ent eigencolumns , the resultant linear superposition will depend on less than n ...
Página 53
... linearly independent vectors in the space , but any n + 1 vectors are linearly dependent . " That this is always possible if the u , are linearly independent may be demonstrated as follows : let u1 , . , u , be linearly independent ...
... linearly independent vectors in the space , but any n + 1 vectors are linearly dependent . " That this is always possible if the u , are linearly independent may be demonstrated as follows : let u1 , . , u , be linearly independent ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
Otras 19 secciones no mostradas
Otras ediciones - Ver todas
Términos y frases comunes
approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх