Further Results on Colombeau Product of Distributions
نویسندگان
چکیده
منابع مشابه
Further Results on Colombeau Product of Distributions
In quantum physics one finds the need to evaluate δ, when calculating the transition rates of certain particle interactions; see [1]. The problem of defining products of distributions is also closely connected with the problem of renormalization in quantum field theory. Due to the large use of distributions in the natural sciences and other mathematical fields, the problem of the product of dis...
متن کاملColombeau products of distributions
In this paper, some products of distributions are derived. The results are obtained in Colombeau algebra of generalized functions, which is the most relevant algebraic construction for dealing with Schwartz distributions. Colombeau algebra [Formula: see text] contains the space [Formula: see text] of Schwartz distributions as a subspace, and has a notion of 'association' that allows us to evalu...
متن کاملFurther Results on Betweenness Centrality of Graphs
Betweenness centrality is a distance-based invariant of graphs. In this paper, we use lexicographic product to compute betweenness centrality of some important classes of graphs. Finally, we pose some open problems related to this topic.
متن کاملSome Results on Equilibrium Distributions
The equilibrium distributions have many applications in reliability theory, stochastic orderings and random processes. The purpose of this paper is to introduce the equilibrium distributions and presents some results related to this issue. Some results are based on order statistics. In this paper, the generalized Pareto distributions are also analyzed and some basic relationships between t...
متن کاملFurther results on total mean cordial labeling of graphs
A graph G = (V,E) with p vertices and q edges is said to be a total mean cordial graph if there exists a function f : V (G) → {0, 1, 2} such that f(xy) = [(f(x)+f(y))/2] where x, y ∈ V (G), xy ∈ E(G), and the total number of 0, 1 and 2 are balanced. That is |evf (i) − evf (j)| ≤ 1, i, j ∈ {0, 1, 2} where evf (x) denotes the total number of vertices and edges labeled with x (x = 0, 1, 2). In thi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2013
ISSN: 0161-1712,1687-0425
DOI: 10.1155/2013/918905