Results 1 to 10 of about 114,103 (278)

Note on the derivative of the hyperbolic cotangent [PDF]

Journal of Physics A: Mathematical and General, 2002
In a letter to Nature (Ford G W and O'Connell R F 1996 Nature 380 113) we presented a formula for the derivative of the hyperbolic cotangent that differs from the standard one in the literature by an additional term proportional to the Dirac delta ...
Ford G W, G W Ford, Lighthill M J, R F O'Connell   +3 more
core   +5 more sources

Hyperbolic cone-manifolds, short geodesics, and Schwarzian derivatives [PDF]

Journal of the American Mathematical Society, 2004
Given a geometrically finite hyperbolic cone-manifold, with the cone-singularity sufficiently short, we construct a one-parameter family of cone-manifolds decreasing the cone-angle to zero.
Bromberg, K.
core   +5 more sources

Schwarz-Pick-type estimates for the hyperbolic derivative [PDF]

Journal of Inequalities and Applications, 2006
We obtain Schwarz-Pick-type estimates for the hyperbolic derivative of an analytic self-map of the unit disk in .
Mercer Peter R
doaj   +3 more sources

Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects [PDF]

Scientific Reports
This study investigates soliton solutions of the lossy nonlinear electrical transmission line (Loss-NLETL) model using the Modified Extended Mapping (Mod-EM) technique.
Hisham H. Hussein, Wassim Alexan, Shaimaa A. Kandil   +2 more
doaj   +2 more sources

Hyperbolic multi-channel hypergraph convolutional neural network based on multilayer hypergraph [PDF]

Scientific Reports
In recent years, hypergraph neural networks have achieved remarkable success in tasks such as node classification, link prediction, and graph classification, thanks to their powerful computational capabilities.
Libing Bai, Feng Hu, Chunyang Tang, Zhangyu Mei, Chuang Liu   +4 more
doaj   +2 more sources

Cauchy problem for the hyperbolic system with mixed derivative

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
E. A. Kozlova
doaj   +3 more sources

Damping problem for the hyperbolic equation with mixed derivative

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The boundary control problem for the hyperbolic equation with mixed derivative was considered in the rectangular region. The control functions were constructed in an explicit form.
E. A. Kozlova
doaj   +5 more sources

The Riemann method for equations with a dominant partial derivative (A Review) [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov, Lubov Mironova, Julia O. Yakovleva   +2 more
doaj   +1 more source

Quaternionic k-Hyperbolic Derivative [PDF]

Complex Analysis and Operator Theory, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eriksson, Sirkka-Liisa, Orelma, Heikki
openaire   +2 more sources

A reduction technique to solve the generalized nonlinear dispersive mK(m,n) equation with new local derivative

Results in Physics, 2022
In this work, we consider the generalized nonlinear dispersive mK(m,n) equation with a recently defined local derivative in the temporal direction. Different types of exact solutions are extracted by Nucci’s reduction technique.
Fang-Li Xia, Fahd Jarad, Mir Sajjad Hashemi, Muhammad Bilal Riaz   +3 more
doaj   +1 more source