Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Jan L Cieśliński"'
Autor:
Jan L. Cieśliński, Maciej Jurgielewicz
Publikováno v:
Symmetry, Vol 15, Iss 10, p 1932 (2023)
We consider a classical case of integrals containing an irrational integrand in the form of a square root of a quadratic polynomial. It is known that such “irrational integrals” can be expressed in terms of elementary functions by one of three of
Externí odkaz:
https://doaj.org/article/65577f026a884f19b29fcb545f17eec0
Autor:
Jan L. Cieśliński, Dzianis Zhalukevich
Publikováno v:
Symmetry, Vol 14, Iss 12, p 2577 (2022)
A large class of integrable non-linear partial differential equations is characterized by the existence of the associated linear problem (in the case of two independent variables, known as a Lax pair) containing the so-called spectral parameter. In t
Externí odkaz:
https://doaj.org/article/5986044b14c241649b8296e5fd144010
Autor:
Artur Kobus, Jan L. Cieśliński
Publikováno v:
Entropy, Vol 24, Iss 3, p 338 (2022)
We propose a new tool to deal with autonomous ODE systems for which the solution to the Hamiltonian inverse problem is not available in the usual, classical sense. Our approach allows a class of formally conserved quantities to be constructed for dyn
Externí odkaz:
https://doaj.org/article/b6f27eb6ba384492a81d8d46901bc1d6
Publikováno v:
Symmetry, Vol 14, Iss 2, p 241 (2022)
The Fourier transform for slowly increasing functions is defined by the Parseval equation for tempered distributions. This definition was supplemented by a novel method of performing practical calculations by computing the Fourier transform for a sui
Externí odkaz:
https://doaj.org/article/d2adb7976225421a8bc4d5402d16a5a8
Autor:
Jan L. Cieśliński, Artur Kobus
Publikováno v:
Symmetry, Vol 13, Iss 8, p 1504 (2021)
The set of scators was introduced by Fernández-Guasti and Zaldívar in the context of special relativity and the deformed Lorentz metric. In this paper, the scator space of dimension 1+n (for n=2 and n=3) is interpreted as an intersection of some qu
Externí odkaz:
https://doaj.org/article/13f269d8644d4203b83fb99afb0d64a1
Publikováno v:
Energies, Vol 14, Iss 4, p 1058 (2021)
We develop a bit manipulation technique for single precision floating point numbers which leads to new algorithms for fast computation of the cube root and inverse cube root. It uses the modified iterative Newton–Raphson method (the first order of
Externí odkaz:
https://doaj.org/article/5cc386b65cfd424ca039596c11d759a9
Publikováno v:
Entropy, Vol 23, Iss 1, p 86 (2021)
Direct computation of functions using low-complexity algorithms can be applied both for hardware constraints and in systems where storage capacity is a challenge for processing a large volume of data. We present improved algorithms for fast calculati
Externí odkaz:
https://doaj.org/article/3a6c2dd2d6bc40559c5cb30335a6f88e
Autor:
Jan L. Cieśliński, Zbigniew Hasiewicz
Publikováno v:
Symmetry, Vol 13, Iss 1, p 148 (2021)
Isothermic surfaces are defined as immersions with the curvture lines admitting conformal parameterization. We present and discuss the reconstruction of the iterated Darboux transformation using Clifford numbers instead of matrices. In particulalr, w
Externí odkaz:
https://doaj.org/article/30f05746426d4ded8749a10257d93fd4
Autor:
Artur Kobus, Jan L. Cieśliński
Publikováno v:
Symmetry, Vol 12, Iss 11, p 1880 (2020)
The scator space, introduced by Fernández-Guasti and Zaldívar, is endowed with a product related to the Lorentz rule of addition of velocities. The scator structure abounds with definitions calculationally inconvenient for algebraic operations, lik
Externí odkaz:
https://doaj.org/article/a29f2067248f46a18eda10925462f47a
Autor:
Jan L. Cieśliński, Dzianis Zhalukevich
Publikováno v:
Symmetry, Vol 12, Iss 9, p 1550 (2020)
Scators form a vector space endowed with a non-distributive product, in the hyperbolic case, have physical applications related to some deformations of special relativity (breaking the Lorentz symmetry) while the elliptic case leads to new examples o
Externí odkaz:
https://doaj.org/article/b4594672c44f4016b86904a0082ae6b2