Results 21 to 30 of about 3,576,028 (266)

Cauchy Problem for an Abstract Evolution Equation of Fractional Order

open access: yesFractal and Fractional, 2023
In this paper, we define an operator function as a series of operators corresponding to the Taylor series representing the function of the complex variable.
Maksim V. Kukushkin
doaj   +1 more source

Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion

open access: yesAdvances in Mathematical Physics, 2019
This paper focuses on analyzing SH-wave scattering around a circular nanoinclusion using the complex variable function method. The surface elasticity theory is employed in the analysis to account for the interface effect at the nanoscale. Considering the
Hongmei Wu
doaj   +1 more source

Differentiation of student learning to complex analysis using CoCalc

open access: yesCTE Workshop Proceedings, 2017
Research goals: to determine the ways of differentiation of future mathematics teacher learning to complex analysis using CoCalc. Research objectives: to analyze the problem of differentiating learning in pedagogical universities, particularly in ...
M. V. Popel, D. Ye. Bobyliev
doaj   +1 more source

Conformal projections of a tri-axial ellipsoid based on isometric coordinates: history, methodology, and examples

open access: yesPolish Cartographical Review, 2022
The paper presents a review of the conformal projections of a tri-axial ellipsoid and the methodology of creating these projections with the use of isometric coordinates.
Paweł Pędzich
doaj   +1 more source

Novel complex N-soliton and lump solutions for nonlocal breaking equation

open access: yesResults in Physics, 2022
The Hirota bilinear method is applied to construct the new dynamics of complex N-soliton solutions for a nonlocal breaking equation. By using the auxiliary traveling wave function, the different-order soliton solutions, bifurcation solutions and lump ...
Shaofu Wang
doaj   +1 more source

A novel sort of adaptive complex synchronizations of two indistinguishable chaotic complex nonlinear models with uncertain parameters and its applications in secure communications

open access: yesResults in Physics, 2017
In this paper, we will demonstrate the adaptive complex anti-lag synchronization (CALS) of two indistinguishable complex chaotic nonlinear systems with the parameters which are uncertain. The significance of CALS is not advised well in the literature yet.
Emad E. Mahmoud, Fatimah S. Abood
doaj   +1 more source

On an attempt to introduce a notion of bounded index for the Fueter regular functions of the quaternionic variable

open access: yesМатематичні Студії, 2023
There is introduced a concept of index for the Fueter regular function of the quaternionic variables. There are considered three approaches (Fueter, Sudbery and Mariconda) constructing the Fueter regular function from a holomorphic function of complex ...
V. P. Baksa, A. I. Bandura
doaj   +1 more source

Stress Characteristics and Mechanical Behavior of Rock Masses with an Opening under Complex Deep Underground Stress Conditions

open access: yesApplied Sciences
In this study, the impact of principal stress states on the stress characteristics and initial failure of the rock mass surrounding a three-center arch opening was investigated using complex variable function methods and Discrete Element Method (DEM ...
Mingyu Cao   +5 more
doaj   +1 more source

Bloch functions of several complex variables [PDF]

open access: yesPacific Journal of Mathematics, 1992
The author presents various properties of the Bloch mappings \(f:\mathbb{B}\to\mathbb{C}^ n\), where \(\mathbb{B}\) denotes the unit Euclidean ball in \(\mathbb{C}^ n\). In particular, he proves the following results. Let \(f\) be a holomorphic mapping \(\mathbb{B}\to\mathbb{C}^ n\) and let \[ \| f\|_ B:=\sup\{\|(f\circ\varphi)'(0)\|:\;\varphi\in\text ...
openaire   +3 more sources

Isogeny classes of abelian varieties over function fields

open access: yes, 2005
We study isogeny classes of abelian varieties over a function field in one variable over the field of complex numbers.Comment: 22 ...
Zarhin, Yuri G.
core   +7 more sources

Home - About - Disclaimer - Privacy