orthogonality condition meaning in Hindi

Examples

1. The orthogonality condition implies the relation known as Coulson's theorem:
2. One can find the coefficients either through the application of an inner product or by the discrete orthogonality condition.
3. In particular, the orthogonality conditions that you mention is really an extension of the orthonormality of spherical harmonics, i . e .:
4. Thus, in advanced mathematics, the word " perpendicular " is sometimes used to describe much more complicated geometric orthogonality conditions, such as that between a surface and its normal.
5. Alternatively, when you cannot evaluate the inner product of the function you are trying to approximate, the discrete orthogonality condition gives an often useful result for " approximate " coefficients,
6. Among the 2 " A " & minus; 1 possible solutions of the algebraic equations for the moment and orthogonality conditions, the one is chosen whose scaling filter has extremal phase.
7. However, in practice, \ vec { r } _ 1, \ vec { r } _ 2 are noisy and the orthogonality condition of the attitude matrix ( or the direction cosine matrix ) is not preserved by the above procedure.
8. The weights w _ i and v _ j are determined such that the function interpolates N given points ( \ mathbf { c } _ i, f _ i ) ( for i = 1, 2, \ dots, N ) and fulfills the d + 1 orthogonality conditions
9. where ~ \ delta _ { kk'} is the Kronecker delta . ( In the last step, the summation is trivial if k = k', where it is 1 + 1 + ?" ?" ?" = " N ", and otherwise is a geometric series that can be explicitly summed to obtain zero . ) This orthogonality condition can be used to derive the formula for the IDFT from the definition of the DFT, and is equivalent to the unitarity property below.