Formula for a Conformal Map from an Arbitrary Domain onto Disk

2019 ◽  
pp. 119-134
Author(s):  
Sergey M. Natanzon
Keyword(s):  
Conformal Map ◽  
Arbitrary Domain

scholarly journals A Self-Adjoint Coupled System of Nonlinear Ordinary Differential Equations with Nonlocal Multi-Point Boundary Conditions on an Arbitrary Domain

2021 ◽  
Vol 11 (11) ◽  
pp. 4798
Author(s):  
Hari Mohan Srivastava ◽  
Sotiris K. Ntouyas ◽  
Mona Alsulami ◽  
Ahmed Alsaedi ◽  
Bashir Ahmad
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Coupled System ◽  
Contraction Mapping Principle ◽  
Arbitrary Domain ◽  
Banach Contraction ◽  
Coupled Boundary Conditions ◽  
Banach Contraction Mapping Principle ◽  
Banach Contraction Mapping

The main object of this paper is to investigate the existence of solutions for a self-adjoint coupled system of nonlinear second-order ordinary differential equations equipped with nonlocal multi-point coupled boundary conditions on an arbitrary domain. We apply the Leray–Schauder alternative, the Schauder fixed point theorem and the Banach contraction mapping principle in order to derive the main results, which are then well-illustrated with the aid of several examples. Some potential directions for related further researches are also indicated.

scholarly journals On the interaction of point charges in an arbitrary domain

2003 ◽  
Vol 48 (2) ◽  
pp. 146-151 ◽  
Author(s):  
A. Silbergleit ◽  
I. Nemenman ◽  
I. Mandel
Keyword(s):  
Arbitrary Domain

scholarly journals Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ahmed Alsaedi ◽  
Soha Hamdan ◽  
Bashir Ahmad ◽  
Sotiris K. Ntouyas
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Fractional Differential Equations ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Arbitrary Domain ◽  
Uniqueness Of Solutions ◽  
Nonlinear Fractional Differential Equations ◽  
Coupled Boundary Conditions ◽  
Fractional Differential

AbstractThis paper is concerned with the solvability of coupled nonlinear fractional differential equations of different orders supplemented with nonlocal coupled boundary conditions on an arbitrary domain. The tools of the fixed point theory are applied to obtain the criteria ensuring the existence and uniqueness of solutions of the problem at hand. Examples illustrating the main results are presented.

Popular conformal map projections

2019 ◽  
pp. 17-28
Author(s):  
Martin Vermeer ◽  
Antti Rasila
Keyword(s):  
Conformal Map ◽  
Map Projections

scholarly journals Compact Conformal Map for Greedy Routing in Wireless Mobile Sensor Networks

2016 ◽  
Vol 15 (7) ◽  
pp. 1632-1646 ◽  
Author(s):  
Siming Li ◽  
Wei Zeng ◽  
Dengpan Zhou ◽  
Xianfeng Gu ◽  
Jie Gao
Keyword(s):  
Sensor Networks ◽  
Mobile Sensor Networks ◽  
Conformal Map ◽  
Greedy Routing ◽  
Mobile Sensor ◽  
Wireless Mobile

scholarly journals Geometry free materials enabled by transformation optics for enhancing the intensity of electromagnetic waves in an arbitrary domain

2020 ◽  
Vol 127 (5) ◽  
pp. 054902 ◽  
Author(s):  
Ali Abdolali ◽  
Hooman Barati Sedeh ◽  
Mohammad Hosein Fakheri
Keyword(s):  
Electromagnetic Waves ◽  
Transformation Optics ◽  
Arbitrary Domain

scholarly journals Creating explorable extended reality environments with semantic annotations

2020 ◽  
Author(s):  
Jakub Flotyński
Keyword(s):  
Domain Knowledge ◽  
Description Logics ◽  
Main Element ◽  
Arbitrary Domain ◽  
Aspect Oriented Programming ◽  
Domain Experts ◽  
Semantic Annotations ◽  
Knowledge Based ◽  
And Control ◽  
3D Content

Abstract The main element of extended reality (XR) environments is behavior-rich 3D content consisting of objects that act and interact with one another as well as with users. Such actions and interactions constitute the evolution of the content over time. Multiple application domains of XR, e.g., education, training, marketing, merchandising, and design, could benefit from the analysis of 3D content changes based on general or domain knowledge comprehensible to average users or domain experts. Such analysis can be intended, in particular, to monitor, comprehend, examine, and control XR environments as well as users’ skills, experience, interests and preferences, and XR objects’ features. However, it is difficult to achieve as long as XR environments are developed with methods and tools that focus on programming and 3D modeling rather than expressing domain knowledge accompanying content users and objects, and their behavior. The main contribution of this paper is an approach to creating explorable knowledge-based XR environments with semantic annotations. The approach combines description logics with aspect-oriented programming, which enables knowledge representation in an arbitrary domain as well as transformation of available environments with minimal users’ effort. We have implemented the approach using well-established development tools and exemplify it with an explorable immersive car showroom. The approach enables efficient creation of explorable XR environments and knowledge acquisition from XR.

A CANADIAN GRID SYSTEM IN 3° TRANSVERSE MERCATOR ZONES

1964 ◽  
Vol 18 (2) ◽  
pp. 147-155
Author(s):  
J. Saastamoinen
Keyword(s):  
Free Choice ◽  
Metropolitan Areas ◽  
Central Meridian ◽  
Conformal Map ◽  
Grid System ◽  
Order Accuracy ◽  
Map Projection ◽  
First Order ◽  
The Subject ◽  
Local Plane

All geodetic networks that rest previously fixed control are best computed in plane coordinates. Under this category fall a great deal of first-order triangulation and, of course, the whole volume of lower-order work—all the way down to the last monuments from which detail surveys originate. A geodetic grid must be designed to meet first-order accuracy and should be established on federal rather than provincial level. Its use requires precomputed tables based on some conformal map projection, preferably the Transverse Mercator (Gauss-Krüger) projection. Congruent projection zones, simple scale factor, free choice of central meridian for local plane coordinates in cities and metropolitan areas—all these features of the Transverse Mercator find no parallel in any other map projection. Following a brief introduction to the subject, a set of tables for a proposed Canadian grid system is presented.

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