A theory about the implication structure in graph coloring is presented. Discovering hidden relations is a crucial activity in every scientific discipline. The development of mathematical models to study and discover such hidden relations is of the most highest interest. The main contribution presented in this work is a model of hidden relations materialized as implicitedges and implicit-identi...

Quantum mechanical uncertainty relations for the position and the momentum and for the angle and the angular momentum are expressed in the form of inequalities involving the Rényi entropies. These uncertainty relations hold not only for pure but also for mixed states. Analogous uncertainty relations are valid also for a pair of complementary observables (the analogs of x and p) in N-level syste...

The varieties of marriage described by Manu and accepted by Vatsyayana are mentioned. The qualities of the bride and bridegroom for an ideal marriage are enumerated by Vatsyayana. The Shastraic view of the same along with the valid conditions of a Hindu Marriage under the Hindu Marriage Act, 1955 are contrasted. The role of the virtuous wife in house-keeping and looking after the husband, accor...

The growing complexity of modern practical problems puts high demand on mathematical modelling. Given that various models can be used for modelling one physical phenomenon, the role model comparison and choice is becoming particularly important. Methods typically in applications nowadays are computation-based, thus time consuming computationally costly. Therefore, it necessary to develop other ...

this article aims at designing the mathematical model for aras dam reservoir in time operation with missions of agriculture needs safeguarding, water electric energy production and torrent controls. reservoir system relations determinate and these relations at framework of are determined and stochastic dynamic programming are calculated executive results of this model are presentation of guides...

In this chapter a mathematical formalization of WordNet that relies on WordNet’s hierarchical and relational structure is described. Conceptual hierarchies are formalized in Formal Concept Analysis (Ganter & Wille, 1996), a theory developed at the Technische Hochschule Darmstadt over the last sixteen years (Section 7.2). This theory can be extended to Relational Concept Analysis by adding furth...

A relation on a hypergraph is a binary relation on the set consisting of the nodes and hyperedges together, and which satisfies a constraint involving the incidence structure of the hypergraph. These relations correspond to join-preserving mappings on the lattice of subhypergraphs. This paper studies the algebra of these relations, in particular the analogues of the familiar operations of compl...