A weakly admissible mesh (WAM) on a continuum real-valued domain is sequence of discrete grids such that the maximum norm polynomials grid comparable to supremum domain. The asymptotic rate growth sizes and comparability constants must grow in controlled manner. In this paper, we recognize notion WAM can be generalized hierarchical subspaces not necessarily polynomial functions, analyze particu...

In a Steiner triple system of order v, STS(v), a set of three lines intersecting pairwise in three distinct points is called a triangle. A set of lines containing no triangle is called triangle-free. The minimum number of triangle-free sets required to partition the lines of a Steiner triple system S, is called the triangle chromatic index of S. We prove that for all admissible v, there exists ...