In this paper we revisit the modular inversion hidden number problem and the inversive congruential pseudo random number generator and consider how to more efficiently attack them in terms of fewer samples or outputs. We reduce the attacking problem to finding small solutions of systems of modular polynomial equations of the form ai+bix0+cixi+x0xi = 0 (mod p), and present two strategies to cons...

In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.

The concept of weak algebraic hyperstructures or Hv-structures constitutes a generalization of the well-known algebraic hyperstructures (semihypergroup, hypergroup and so on). The overall aim of this paper is to present an introduction to some of the results, methods and ideas about chemical examples of weak algebraic hyperstructures. In this paper after an introduction of basic definitions and...

The fossil fuels consumption is rapidly growing due to increased water and electricity demands. An interconnected water-energy nexus is generally composed of thermal power plants, combined potable water and power (CWP) generation units, and desalination only processes. Hence, participation of hydro power plants in electricity generation facilities not only reduces the total fuel consumption of ...

This contribution outlines an XML format for representation of differential-algebraic equations (DAE) models obtained from continuous time Modelica models and possibly also from other equation-based modeling languages. The purpose is to offer a standardized model exchange format which is based on the DAE formalism and which is neutral with respect to model usage. Many usages of models go beyond...

Algebraic specifications have been used successfully as a formal basis for software development. This paper discusses how the origin and dynamic dependence relations implicitly defined by an algebraic specification can be used to define powerful language-specific tools. In particular, the generation of tools for source-level debugging and dynamic program slicing from specifications of interpret...

Abstract. A convenient algebraic structure to describe some forms of dynamics of two hamiltonian systems with nonpotential (magnetic–type) interaction is considered. An algebraic mechanism of generation of such dynamics is explored on simple ”toy” examples and models. Nonpotential chains and their continuum limits are also considered. Examples of hybrid couplings with both potential and nonpote...