Real orthogonal designs were first introduced in the 1970’s, followed shortly by the introduction of complex orthogonal designs. These designs can be described simply as square matrices whose columns are formally orthogonal, and their existence criteria depend on number theoretic results from the turn of the century. In 1999, generalizations of these designs were applied in the development of s...

This paper espouses the application of orthogonal array experiment to solve a class of engineering optimization problems encountered in systems engineering and architecting. It also illustrates the applicability of orthogonal array experiment in systems engineering and architecting with two examples: verification and validation of the performance of a bandwidth allocation algorithm and architec...

The use of amicable sets of eight circulant matrices and four negacyclic matrices to generate orthogonal designs is relatively new. We find all 1841 possible orthogonal designs of order 40 in three variables, using only these new techniques.

this work presents an experimental investigation of the influence of the six important machining parameters (tool nose radius, tool rake angle, feed rate, cutting speed, cutting environment (dry, wet and cooled) and depth of cut) on surface roughness & material removal rate in the machining unidirectional glass fiber reinforced plastics (ud-gfrp) composite using carbide (k10) cutting tool durin...

Males in many modern amniote taxa have a hydraulic penis that inflates for copulation. Hydraulic skeletons are typically reinforced with inextensible fibres; the specific arrangement of the fibres within the skeleton determines whether it is flexible or resists bending. I show that the hydraulic skeleton in the turtle penis is reinforced by an axial orthogonal array of collagen fibres. This mic...

Kuriki and Fuji-Hara (1994) introduced an (r, 2)-design with mutually balanced nested subdesigns ((r, 2)-design with MBN), which is equivalent to a balanced array of strength 2 with s symbols, and gave some constructions of such (r, 2)-designs. In this paper, we consider cyclic orthogonal and balanced arrays, and we give a cyclic version of the results obtained by them. Furthermore, we give a c...