In recent years, the government, of African Countries has assumed major responsibilities for economic reforms and growth. In attempting to describe their economies, economists (policymakers) in many African Countries have applied certain models that are by now widely known: Linear programming...

Research and Science Today Journal is a publication founded in 2011 and it is dedicated to the students of all levels (license, master and doctoral) of faculties in the country and abroad. We want to offer the participants the opportunity to present their scientific works in the following areas:...

The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows more complicated structures to be described and understood in terms of the relatively well-understood properties of Euclidean space. A manifold is roughly a continuous topological...

In 2009, Bingmann, Lovejoy and Osburn defined the generating function for spt(n). In 2012, Andrews, Garvan and Liang defined the sptcrank in terms of partition pairs. In this article the number of smallest parts in the overpartitions of n with smallest part not overlined is discussed, and the...

In 2009, Bingmann, Lovejoy and Osburn have shown the generating function for spt2(n). In 2012, Andrews, Garvan, and Liang have defined the sptcrank in terms of partition pairs. In this article the number of smallest parts in the overpartitions of n with smallest part not overlined and even are...

The theory of partitions has interested some of the best minds since the 18th century. In 1742, Leonhard Euler established the generating function of P(n). Godfrey Harold Hardy said that Srinivasa Ramanujan was the first, and up to now the only, mathematician to discover any such properties of...

This article shows how to find all vector partitions of any positive integral values of n, but only all vector partitions of 4, 5, and 6 are shown by algebraically. These must be satisfied by the definitions of crank of vector partitions.

The purpose of this article is, on the one hand, to shed light on some significant aspects of Ricardo's theory of value and on the other hand to show that Ricardo's insights about the explanatory power of the relative labour times on the movement of relative prices were in the right direction....

This paper proposes a new optimization framework for the optimal power dispatch in both grid-connected and islanded microgrid modes. Solving the microgrid operation by the evolutionary algorithms can be faster than analytical models due to the complexity of the problem. To demonstrate the...

We introduce a dynamical model describing the interaction between a three-sectors real economy and a financial market with four assets. Investors and financial mediators have heterogeneous beliefs. The model may be used to investigate interdependence within economic fluctuations and assets...