Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 36
... Solve Eq . ( 1.13 ) . 5. Solve Eq . ( 1.14 ) . 6. Solve Eq . ( 1.15 ) . 7. Let ( 1 3115 0 0 0 M = = 100 0 1 0 If f ( x ) has a convergent power series about x = M2 2 ! = 0 , show that ƒ ( M ) = f ( 0 ) + Mƒ ' ( 0 ) + 2 + ƒ ” ( 0 ) 8 ...
... Solve Eq . ( 1.13 ) . 5. Solve Eq . ( 1.14 ) . 6. Solve Eq . ( 1.15 ) . 7. Let ( 1 3115 0 0 0 M = = 100 0 1 0 If f ( x ) has a convergent power series about x = M2 2 ! = 0 , show that ƒ ( M ) = f ( 0 ) + Mƒ ' ( 0 ) + 2 + ƒ ” ( 0 ) 8 ...
Página 48
... Solve the equations 4. Solve the equations A = B8 -pa βδ -p2 * 82 -B8 ) ( 19 ) 0 3 x = ẞdx - p2y βδχ y = 82x - dẞy x = ax + By +1 ÿ = ßx + ay + 1 x ( 0 ) = y ( 0 ) = 0 5. Solve by the Laplace transform method Eqs . ( 48 SYSTEMS WITH A ...
... Solve the equations 4. Solve the equations A = B8 -pa βδ -p2 * 82 -B8 ) ( 19 ) 0 3 x = ẞdx - p2y βδχ y = 82x - dẞy x = ax + By +1 ÿ = ßx + ay + 1 x ( 0 ) = y ( 0 ) = 0 5. Solve by the Laplace transform method Eqs . ( 48 SYSTEMS WITH A ...
Página 94
... Solve the problem of the temperature distribution in a slab of length L , given that the initial temperature is an ... solve the equation д де 22 T ( x , t ) : = x T ( x , t ) ax2 0 < x < L t > 0 with the boundary conditions д a T ( x ...
... Solve the problem of the temperature distribution in a slab of length L , given that the initial temperature is an ... solve the equation д де 22 T ( x , t ) : = x T ( x , t ) ax2 0 < x < L t > 0 with the boundary conditions д a T ( 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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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