The aim of this paper is to prove the Uniform Boundedness Principle and Banach-Steinhaus Theorem for anti linear operators and hence strong linear operators on Banach hypervector spaces. Also we prove the continuity of the product operation in such spaces.

The Hadwiger number η(G) of a graph G is defined as the largest integer n for which the complete graph on n nodes Kn is a minor of G. Hadwiger conjectured that for any graph G, η(G) ≥ χ(G),where χ(G) is the chromatic number of G. In this paper, we investigate the Hadwiger number with respect to the cartesian product operation on Graphs. As the main result of this paper, we show that for any two...

This paper deals with optimal operation of a three-product Dividing-Wall Column (DWC). The main idea is to design a control structure, through a systematic procedure for plantwide control, with an objective to achieve desired product purities with the minimum use of energy. Exact local method is used to find the best controlled variables as single measurement or combination of measurements ...

We give a formal definition of a new product of bipartite digraphs, the Manhattan product, and we study some of its main properties. It is shown that if all the factors of the above product are (directed) cycles, then the digraph obtained is a Manhattan street network. To this respect, it is proved that many properties of these networks, such as high symmetries and the presence of Hamiltonian c...

in order to study the effects of three operations of rangelands on the properties of vegetation in rangelands, this research was conducted in chaat gonbad, golestan province, iran in 2004. chaat area is located in 50 km of border road of dashlibroun to maravetappeh in north of attract river (border of iran and turkmenistan). the altitude is 70 m, annual rainfall is 170 mm and annual temperature...

Reverse supply chain is a process dealing with the backward flows of used/damaged products or materials. Reverse supply chain includes activities such as collection, inspection, reprocess, disposal and redistribution. A well-organized reverse supply chain can provide important advantages such as economic and environmental ones. In this study, we propose a general framework and formulate a m...