ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a ...

The purpose of this study was to compare the prevalence of math anxiety in Russian and Chinese schoolchildren across genders and ages. The Abbreviated Math Anxiety Scale (AMAS) was used as a ...

1 College of Biological and Agricultural Engineering, Jilin University, Changchun, China 2 Research Center, Hohhot Branch of Chinese Academy of Agricultural Mechanization Sciences, Hohhot, China ...

If dark matter is made from "dark" versions of the basic building blocks of ordinary matter, the world's largest particle accelerator should be able to pin it down, a new study suggests. When you ...

“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...

Allows transitions of discrete properties to be started on properties explicitly listed in the transition-property list. These transitions run using the same logic as an animation on those properties ...

Abstract: Combinatorics is the modern mathematics that studies discrete objects, and the problems studied include counting problems, existential problems, enumeration, algorithm problems and ...