  We use Lorentz polynomials to present the solutions explicitly of equations
(6.1.7) of [I. Daubechies, Ten lectures on wavelets, CBMS-NSF Regional
Conference Series in Applied Mathematics, 61. Society for Industrial and
Applied Mathematics (SIAM), Philadelphia, PA, 1992] and (4.9) of [I.
Daubechies, Orthonormal bases of compactly supported wavelets. Comm. Pure Appl.
Math. 41 (1988), no. 7, 909--996] sot that we give an efficient way to prove
Daubechies' results on the existence of spline type orthogonal scaling
functions and to evaluate Daubechies scaling functions.
