At the end of 19th century Russia, in accordance with the policy of Concert of Europe, was consulting her foreign policy towards the Ottoman Empire with European powers. But, as a result of distrust to England, Russia ...

We present an algorithm for determining the existence of a Hopf bifurcation of a system of delayed reaction-diffusion equations with the Neumann boundary conditions. The conditions on parameters of the system that a Hopf ...

Merchant diasporas have long attracted the attention of scholars through the narrow prisms of 'nations' and states. The history of Amsterdam's Greek Orthodox merchants, together with the other cases - who left the Ottoman ...

We derive an explicit formula for the inverse of a general, periodic, tridiagonal matrix. Our approach is to derive its LU factorization using backward continued fractions (BCF) which are an essential tool in number theory. ...

We prove Galois equivariance of ratios of Petersson inner products of holomorphic cuspforms on symplectic, unitary, or Hermitian orthogonal groups. As a consequence, we show that the ratios of Petersson norms of such ...

Four generalizations of the Filbert matrix are considered; with additional asymmetric parameter settings. Explicit formula are derived for the LU-decompositions, their inverses, and the inverse matrix. The approach is ...

In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for ...

We study the stability and Hopf bifurcation analysis of an asset pricing model that is based on the model introduced by Caginalp and Balenovich, under the assumption of a fixed amount of cash and stock in the system. First, ...

The Patriarch of Jerusalem between 1707 and 1730, Chrysanthos Notaras is an extremely important figure both for his activities in the field of science and for Orthodox theology and patriarchal politics. One of the points ...

In this paper, we consider semi-bentness of quadratic Boolean functions defined for even n and give the characterisation of these functions. Up to our knowledge, semi-bentness of this class has not been investigated before ...