Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 5
... dependent homogeneous prob- lems of ( 1.1 ) to ( 1.6 ) , the time - dependent inhomogeneous problems of ( 1.7 ) and ( 1.8 ) , and the time - independent inhomogeneous ( steady - state ) problems of ( 1.9 ) and ( 1.10 ) . For each of ...
... dependent homogeneous prob- lems of ( 1.1 ) to ( 1.6 ) , the time - dependent inhomogeneous problems of ( 1.7 ) and ( 1.8 ) , and the time - independent inhomogeneous ( steady - state ) problems of ( 1.9 ) and ( 1.10 ) . For each of ...
Página 6
... dependent variables at zero time . Equations ( 1.1 ) , ( 1.2 ) , ( 1.5 ) , and ( 1.6 ) , when written in the form of ( 1.11 ) , become = 1 RC E Ñ1 == 1N1 + ON2 + ON3 - = T1 N1 + ( → ) N2 + ON 3 ( 1.12 ) ( 1.13 ) Ň T1 T2 Ñ3 = ON1 + N2 + ...
... dependent variables at zero time . Equations ( 1.1 ) , ( 1.2 ) , ( 1.5 ) , and ( 1.6 ) , when written in the form of ( 1.11 ) , become = 1 RC E Ñ1 == 1N1 + ON2 + ON3 - = T1 N1 + ( → ) N2 + ON 3 ( 1.12 ) ( 1.13 ) Ň T1 T2 Ñ3 = ON1 + N2 + ...
Página 53
... dependent . " That this is always possible if the u , are linearly independent may be demonstrated as follows : let u1 , . , u , be linearly independent , and let x be any vector in the space . These n + 1 vectors are linearly dependent ...
... dependent . " That this is always possible if the u , are linearly independent may be demonstrated as follows : let u1 , . , u , be linearly independent , and let x be any vector in the space . These n + 1 vectors are linearly dependent ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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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