Contemporary Mathematics,Volume 1 Issue 4 (2020), 170-271

Open Access Article

Linear Codes Obtained from Projective and Grassmann Bundles on Curves

by Edoardo Ballico

ABSTRACT: We use split vector bundles on an arbitrary smooth curve defined over F q to get linear codes (following the general set-up considered by S. H. Hansen and T. Nakashima), generalizing two quoted...

Open Access Article

Heat Kernel Approximation on Kendall Shape Space

by Riadh Mtibaa, Salam Khan

ABSTRACT: The heat kernel on Kendall shape subspaces is approximated by an expansion. The Kendall space is useful for representing the shapes associated to collections of landmarks’positions. The...

Open Access Article

Extending the Convexity of Nonlinear Image of a Ball Appearing in Optimization

by Ioannis K. Argyros, Yeol Je Cho, Santhosh George

ABSTRACT: Let X, Y be Hilbert spaces and F : X → Y be Frechet differentiable. Suppose that F′ is center-Lipschitz on U ( w, r ) and F′ ( w ) be a surjection. Then, S 1 = F ( U ( w, ε 1 ))...

Open Access Article

An Example of the Generalized Fractional Laplacian on Rn

by Chenkuan Li

ABSTRACT: Using the normalization of the fractional Laplacian (-△) s u ( x ) over the space C k ( R n ) for all s > 0 and s ≠ 1, 2, ···, we evaluate (-△) s e -|| x ||2  based on...

Open Access Article

On the Non-Uniqueness of the Sets Computing a Partially Symmetric Rank at Most Three

by Edoardo Ballico

ABSTRACT: We describe all partially symmetric tensors which have rank two in more than one way and gives many examples, perhaps all, for rank three partially symmetric tensors.

Open Access Article

Estimates for the Bounds of the Essential Spectrum of a 2 × 2 Operator Matrix

by Tulkin Rasulov, Elyor B. Dilmurodov

ABSTRACT: We consider a 2 × 2 operator matrix Aμ, μ > 0, related with the lattice systems describing three particles in interaction, without conservation of the number of particles on a d-dimensional...

Open Access Article

Far-Field Behavior of Waves in Non-Ideal Magnetogasdynamics

by Ankita Sharma, Rajan Arora

ABSTRACT: We have presented a study on the far-field behavior of weak nonlinear waves in magnetogasdynamics. An asymptotic analysis is carried out for the study. An evolution equation is obtained by using...

Open Access Article

Asymptotic Solutions of Fifth Order Overdamped-Oscillatory Nonlinear Systems

by Harun-Or-Roshid, M. Zulfikar Ali

ABSTRACT: Combo overdamp-oscillatory system plays an important role in natural phenomena in many engineering problems. In this paper, fifth order nonlinear damped-oscillatory differential system is studied...

Open Access Article

Monte Carlo Approach Towards Evaluating Random Number Generators Based on Mathematical Schemes Driven from Chua's Circuit

by Kasra Amini, Aidin Momtaz, Ehsan Qoreishi, Sarah Amini, Sanaz Haddadian

ABSTRACT: The philosophical nature of randomly generated quantities is widely discussed in the realms of chaos theory. Although, the fundamental premise of the chaos theory does not assume any random...