Let K be either the real, complex, or quaternion number system and let O(K) be the corresponding integers. Let x = (x1, . . . , xn) be a vector in Kn. The vector x has an integer relation if thereâ€¦ (More)

Let i = (11,12, â€¢ â€¢ â€¢, xn) be a vector of real numbers, x is said to possess an integer relation if there exist integers a,not all zero such that ain + a2X2 + â– â– â– + anxn = 0. Beginning ten yearsâ€¦ (More)

A relation for a finite number of reals is the sequence of integer coefficients, not all zero, of an integral linear combination that represents zero. An iteration of algorithm Alg( n, Z) for n realâ€¦ (More)

Several methods have been developed for the computerized generation of space-filling curves, but these curves have never been used for NC tool-path generation. The paper discusses the application ofâ€¦ (More)