## Search

Now showing items 1-10 of 35

#### New casimir energy calculations

(World Scientific Publishing, 2007)

New Casimir energy results for massless scalar field in some 3 -dimensional cavities are presented. We attempted to discuss the correlation between the sign and the magnitude of the energy and the shape of the cavities. ...

#### The extended discrete (G′/G)-expansion method and its application to the relativistic toda lattice system

(American Institute of Physics Publising, 2009)

We propose the extended discrete (G′/G)-expansion method for directly solving nonlinear differentialdifference equations. For illustration, we choose the relativistic Toda lattice system. We derive further discrete hyperbolic ...

#### Mathematica applications on time scales

(Springer, 2005)

Stefan Hilger introduced the calculus on time scales in order to unify continuous and discrete analysis in 1988. The study of dynamic equations is an active area of research since time scales unifies both discrete and ...

#### Symbolic computation of Petri nets

(Springer, 2007)

Petri nets are receiving increasing attention from the scientific community during the last few years. They provide the users with a powerful formalism for describing and analyzing a variety of information processing systems ...

#### Applications of graph coloring

(Springer, 2005)

A graph G is a mathematical structure consisting of two sets V(G) (vertices of G) and E(G) (edges of G). Proper coloring of a graph is an assignment of colors either to the vertices of the graphs, or to the edges, in such ...

#### From q-analytic functions to double q-analytic Hermite binomials and q-traveling waves

(IOP Publishing, 2016-10)

We extend the concept of q-analytic function in two different directions. First we find expansion of q-binomial in terms of q-Hermite polynomials, analytic in two complex arguments. Based on this representation, we introduce ...

#### Exact quantization of Cauchy-Euler type forced parametric oscillator

(IOP Publishing, 2016-10)

Driven and damped parametric quantum oscillator is solved by Wei-Norman Lie algebraic approach, which gives the exact form of the evolution operator. This allows us to obtain explicitly the probability densities, time-evolution ...

#### Quantum calculus of classical vortex images, integrable models and quantum states

(IOP Publishing, 2016-10)

From two circle theorem described in terms of q-periodic functions, in the limit q→1 we have derived the strip theorem and the stream function for N vortex problem. For regular N-vortex polygon we find compact expression ...

#### Security arguments for the UM key agreement protocol in the NIST SP 800-56A standard

(ACM Press, 2008)

The Unified Model (UM) key agreement protocol is an efficient Diffie-Hellman scheme that has been included in many cryptographic standards, most recently in the NIST SP 800-56A standard. The UM protocol is believed to ...

#### New mathematical model for finding minimum vertex cut set

(IEEE, 2012)

In this paper, we consider the vertex separator problem. Given an undirected graph G, the vertex separator problem consists in identifying a minimum number of vertex set whose removal disconnects G. We present a new ...