Výsledky vyhledávání - "Juráš, Martin"

Dissertation/ Thesis

Geometric Aspects of Second-Order Scalar Hyperbolic Partial Differential Equations in the Plane

Autor: Jurás, Martin

Publikováno v: All Graduate Theses and Dissertations.

The purpose of this dissertation is to address various geometric aspects of second-order scalar hyperbolic partial differential equations in two independent variables and one dependent variable F(x, y, u, u_x, u_y, u_xx, u_xy, u_yy )= 0 (1) We find a

Externí odkaz: https://digitalcommons.usu.edu/etd/7139
https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=8256&context=etd

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On commuting probabilities in finite groups and rings

Autor: Juráš, Martin, Ursul, Mihail

We show that the set of all commuting probabilities in finite rings is a subset of the set of all commuting probabilities in finite nilpotent groups of class $\le2$. We believe that these two sets are equal; we prove they are equal, when restricted t

Externí odkaz: http://arxiv.org/abs/2010.01188

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Public-key cryptosystem based on invariants of diagonalizable groups

Autor: Marko, Frantisek, Zubkov, Alexandr N., Juras, Martin

We develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of these crypt

Externí odkaz: http://arxiv.org/abs/1507.07848

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Eisenstein-Dumas criterion and the action of $2\times 2$ nonsingular triangular matrices on polynomials in one variable

Autor: Juras, Martin

Let $K$ be a valued field (in general $K$ is not heselian) with valuation $v$ and $A(x)\in K[x]$ be a polynomial of degree $n$. We find necessary and sufficient conditions for the existence of the elements $s,t,u\in K$, $s\neq 0\neq u$, such that at

Externí odkaz: http://arxiv.org/abs/1505.07633

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