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The Moral Mappings of South and North

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ISBN: 9781474423243 9781474423267 9781474423274 Year: Language: English
Publisher: Edinburgh University Press Grant: Knowledge Unlatched - 103883
Added to DOAB on : 2020-03-24 11:21:02
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What is the 'Global South' and where is it?The term 'Global South' marks a new attempt at providing order and meaning in the current global political constellation, replacing the term 'Third World'. But the term 'Global South' is fraught with many ambiguities. This book explores the possible meanings of this new distinction and assesses the advantages and disadvantages of adopting it for understanding the contemporary world. It casts a wide exploratory net, looking at how the way that we interpret the world has changed over time.

Mathematical Aspects of Logic Programming Semantics

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ISBN: 9781439829622 Year: Pages: 304 DOI: 10.1201/b10397 Language: English
Publisher: Taylor & Francis
Subject: Computer Science
Added to DOAB on : 2020-09-23 00:02:27
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Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.

Graph-Theoretic Problems and Their New Applications

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ISBN: 9783039287987 / 9783039287994 Year: Pages: 294 DOI: 10.3390/books978-3-03928-799-4 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-06-09 16:38:57
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Graph theory is an important area of applied mathematics with a broad spectrum of applications in many fields. This book results from aSpecialIssue in the journal Mathematics entitled “Graph-Theoretic Problems and Their New Applications”. It contains 20 articles covering a broad spectrum of graph-theoretic works that were selected from 151 submitted papers after a thorough refereeing process. Among others, it includes a deep survey on mixed graphs and their use for solutions ti scheduling problems. Other subjects include topological indices, domination numbers of graphs, domination games, contraction mappings, and neutrosophic graphs. Several applications of graph theory are discussed, e.g., the use of graph theory in the context of molecular processes.

Keywords

graph coloring --- Kempe chain --- Kempe-locking --- Birkhoff diamond --- hypergraph --- generalized hypertree --- bound --- component --- adjacent matrix --- signless Laplacian --- spectral radius --- connectivity --- interval-valued fuzzy graph --- intuitionistic fuzzy graph --- interval-valued intuitionistic fuzzy graph --- single-valued neutrosophic graph --- interval-valued neutrosophic graph --- complement --- k-rainbow dominating function --- k-rainbow domination number --- grids --- domination number --- Cartesian product --- directed cycle --- DD index --- Wiener index --- Edge Wiener --- degree of a vertex --- distance between two vertices --- normalized Laplacian --- resistance distance --- degree-Kirchhoff index --- spanning tree --- extremal values --- PI index --- k-trees --- distance --- Zagreb indices --- reformulated Zagreb indices --- degree of vertex --- degree of edge --- embedding --- edge congestion --- wirelength --- enhanced hypercube --- subtree --- generating function --- fan graph --- wheel graph --- “partitions” of wheel graph --- neutrosophic graph --- complete neutrosophic graph --- bipartite neutrosophic graph --- complement neutrosophic graph --- road transport network --- wireless multihop network and social network --- perfect matching --- k-extendable --- induced matching extendable --- bipartite matching extendable graph --- evolution theory --- evolution algebra --- mitotic cell cycle --- total-colored graph --- inverse degree index --- generalized first Zagreb index --- sum lordeg index --- corona product --- join of graphs --- line graph --- Mycielskian graph --- polynomials in graphs --- b-metric space --- b-metric-like space --- general contractive mappings --- graphic contraction mappings --- approximation methods --- chromatic number --- combinatorial optimization --- complexity analysis --- evolutionary approach --- genetic algorithm --- graph coloring --- NP-hard --- stochastic convergence --- domination game --- competition-independence game --- mixed graph --- vertex coloring --- chromatic number --- edge coloring --- chromatic index --- chromatic polynomial --- unit-time scheduling --- makespan criterion --- n/a

Iterative Methods for Solving Nonlinear Equations and Systems

Authors: --- ---
ISBN: 9783039219407 9783039219414 Year: Pages: 494 DOI: 10.3390/books978-3-03921-941-4 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-01-07 09:08:26
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Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.

Keywords

point projection --- intersection --- parametric curve --- n-dimensional Euclidean space --- Newton’s second order method --- fixed point theorem --- nonlinear equations --- multiple zeros --- optimal iterative methods --- higher order of convergence --- nonlinear operator equation --- Fréchet derivative --- ?-continuity condition --- Newton-like method --- Frédholm integral equation --- nonlinear equations --- Padé approximation --- iterative method --- order of convergence --- numerical experiment --- fourth order iterative methods --- local convergence --- banach space --- radius of convergence --- nonlinear equation --- iterative process --- non-differentiable operator --- Lipschitz condition --- high order --- sixteenth order convergence method --- local convergence --- dynamics --- Banach space --- Newton’s method --- semi-local convergence --- Kantorovich hypothesis --- iterative methods --- Steffensen’s method --- R-order --- with memory --- computational efficiency --- non-linear equation --- basins of attraction --- optimal order --- higher order method --- computational order of convergence --- nonlinear equations --- multiple roots --- Chebyshev–Halley-type --- optimal iterative methods --- efficiency index --- Banach space --- semilocal convergence --- ?-continuity condition --- Jarratt method --- error bound --- Fredholm integral equation --- Newton’s method --- global convergence --- variational inequality problem --- split variational inclusion problem --- multi-valued quasi-nonexpasive mappings --- Hilbert space --- sixteenth-order optimal convergence --- multiple-root finder --- asymptotic error constant --- weight function --- purely imaginary extraneous fixed point --- attractor basin --- drazin inverse --- generalized inverse --- iterative methods --- higher order --- efficiency index --- integral equation --- efficiency index --- nonlinear models --- iterative methods --- higher order --- nonlinear equations --- optimal iterative methods --- multiple roots --- efficiency index --- iterative methods --- nonlinear equations --- Newton-type methods --- smooth and nonsmooth operators --- heston model --- Hull–White --- option pricing --- PDE --- finite difference (FD) --- iteration scheme --- Moore–Penrose --- rectangular matrices --- rate of convergence --- efficiency index --- nonlinear equations --- conjugate gradient method --- projection method --- convex constraints --- signal and image processing --- nonlinear monotone equations --- conjugate gradient method --- projection method --- signal processing --- nonlinear systems --- multipoint iterative methods --- divided difference operator --- order of convergence --- Newton’s method --- computational efficiency index --- system of nonlinear equations --- Newton method --- Newton-HSS method --- nonlinear HSS-like method --- Picard-HSS method --- convexity --- least square problem --- accretive operators --- signal processing --- point projection --- intersection --- planar algebraic curve --- Newton’s iterative method --- the improved curvature circle algorithm --- systems of nonlinear equations --- King’s family --- order of convergence --- multipoint iterative methods --- nonlinear equations --- Potra–Pták method --- optimal methods --- weight function --- basin of attraction --- engineering applications --- Kung–Traub conjecture --- multipoint iterations --- nonlinear equation --- optimal order --- basins of attraction

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