41. Let be an orthonormal basis of. 42. Completeness of an orthonormal system of vectors of a Hilbert space can be equivalently restated as: 43. We say that is an " orthonormal basis " for if it is a basis and 44. The two previous theorems raise the question of whether all inner product spaces have an orthonormal basis. 45. Every symmetric matrix is thus, up to choice of an orthonormal basis, a diagonal matrix. 46. The spherical harmonic functions form a complete orthonormal set of functions in the sense of Fourier series. 47. So is the kernel of the Fourier transform actually an orthonormal basis for L2 [ R ]? 48. Applying the Gram Schmidt process to, there is a unique orthonormal basis and positive constants such that 49. Two vectors which are orthogonal and of length 1 are said to be " orthonormal ". 50. By additionally providing a start in, a starting point in and an initial positive orthonormal Frenet frame with
