Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 14
Página 18
... 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 these columns which vanishes ; that is , the k n - columns m , are linearly independent if ...
... 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 these columns which vanishes ; that is , the k n - columns m , are linearly independent if ...
Página 53
... introduce the concept of a dual space : To each vector x in the space determined by the basis u , there corresponds a vector x + in the dual space determined by the basis ut such that + X n - Σxu == i = 1 + where x , is the complex ...
... introduce the concept of a dual space : To each vector x in the space determined by the basis u , there corresponds a vector x + in the dual space determined by the basis ut such that + X n - Σxu == i = 1 + where x , is the complex ...
Página 243
... introduce the a11 a12 D ( A ) = | A | = a21 22 with the understanding that this is an abbreviation and that the value of A is obtained by evaluating the sum | A | = & ¡ ̧a1,925 Σε where € 12 = 1 , 821 = −1 , and Ɛ11 = E22 = 0. | A ...
... introduce the a11 a12 D ( A ) = | A | = a21 22 with the understanding that this is an abbreviation and that the value of A is obtained by evaluating the sum | A | = & ¡ ̧a1,925 Σε where € 12 = 1 , 821 = −1 , and Ɛ11 = E22 = 0. | A ...
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