orthonormal basis उदाहरण वाक्य

उदाहरण वाक्य

1. The Hermite functions are thus an orthonormal basis of which " diagonalizes the Fourier transform operator ".
2. The wedge products of elements of an orthonormal basis in form an orthonormal basis of the exterior algebra of.
3. The wedge products of elements of an orthonormal basis in form an orthonormal basis of the exterior algebra of.
4. One can complete the diagonalization of " T " by selecting an orthonormal basis of the kernel.
5. This definition of orthonormal basis generalizes to the case of infinite-dimensional inner product spaces in the following way.
6. If one chooses the eigenvectors of as an orthonormal basis, the matrix representation of in this basis is diagonal.
7. If is a bounded domain in then the eigenfunctions of the Laplacian are an orthonormal basis for the Hilbert space.
8. Note that an orthonormal basis in this sense is not generally a Hamel basis, since infinite linear combinations are required.
9. Given a set of right-handed orthonormal basis vectors, the cross product is expressed in terms of its components as:
10. In fact, in the presence of a positively oriented orthonormal basis, the exterior product generalizes these notions to higher dimensions.