A new counting polynomial, called the “Omega” Ω(G, x) polynomial, is proposed on the ground of quasi-orthogonal cut “qoc” edge strips in a bipartite lattice. Within a qoc not all cut edges are necessarily orthogonal, meaning not all are pairwise codistant. Two topological indices: CI (Cluj-Ilmenau), eventually equal to the well-known PI index, in planar, bipartite graphs and IΩ are defined on t...

A factorisation x = u 1 2 ? $x u_1 u_2 \cdots$ of an infinite word $x$ on alphabet X $X$ is called ‘monochromatic’, for a given colouring the finite words ? $X^*$ , if each i $u_i$ same colour. Wojcik and Zamboni proved that periodic only every there monochromatic . On other hand, it follows from Ramsey's theorem that, any suffix having factorisation. ‘super-monochromatic’ k n $u_{k_1} u_{k_2} ...

Abstract The purpose of this paper is to apply the Bookmark method standard setting. Based on Rasch Model in item response theory, a ninth-grade mathematics achievement test china has been taken as an example setting, and 2 cut scores have established distinguish students into different performance levels eventually, namely basic proficient scores. In addition, based use generalizability error ...