Non Uniform Rational B-splines (NURBs) are proved to be very promising for metamodeling in engineering problems, because they have unique properties such as local modification scheme, strong convex hull property, and infinitely differentiability, etc. Since NURBs are defined by control points, knot vector, and weights associated with control points, the precision of NURBs is influenced by all o...

A 0-1 matrix is a matrix in which every element is either 0 or 1. The weight extremal function ex(n, P ) counts the maximum number of 1’s in an n × n matrix which avoids a pattern matrix P . The column extremal function exk(m,P ) counts the maximum number of columns that a matrix with m rows and k 1’s per column can contain such that the matrix avoids P . Set weight and column extremal function...

This paper surveys several common models which can be used to represent and study design procedures. A matrix representation of design is discussed in detail and both new and existing analysis tools are presented. Enhanced models are proposed to incorporate more information into the matrix representation and to allow more sophisticated analysis to be performed. The paper describes a testbed for...

in recent years many research works have been carried out on anti-corrosive nanocomposites coatings containing mineral reinforcements. the most important criteria in these attempts are polymerization method and the type of matrix and reinforcement of nanocomposites. in this regard, the physical and mechanical properties of the polymers in which a small amount of filler is used can be improved. ...