| 31. | The Hermite functions are thus an orthonormal basis of which " diagonalizes the Fourier transform operator ".
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| 32. | The wedge products of elements of an orthonormal basis in form an orthonormal basis of the exterior algebra of.
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| 33. | The wedge products of elements of an orthonormal basis in form an orthonormal basis of the exterior algebra of.
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| 34. | One can complete the diagonalization of " T " by selecting an orthonormal basis of the kernel.
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| 35. | This definition of orthonormal basis generalizes to the case of infinite-dimensional inner product spaces in the following way.
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| 36. | If one chooses the eigenvectors of as an orthonormal basis, the matrix representation of in this basis is diagonal.
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| 37. | If is a bounded domain in then the eigenfunctions of the Laplacian are an orthonormal basis for the Hilbert space.
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| 38. | Note that an orthonormal basis in this sense is not generally a Hamel basis, since infinite linear combinations are required.
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| 39. | Given a set of right-handed orthonormal basis vectors, the cross product is expressed in terms of its components as:
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| 40. | In fact, in the presence of a positively oriented orthonormal basis, the exterior product generalizes these notions to higher dimensions.
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