Computational mathematics : theory, methods and applications / / Peter G. Chareton, editor

• Record Nr.: UNINA9910957633303321
• Pubbl/distr/stampa: New York, : Nova Science Publishers, c2010
• ISBN: 1-62417-078-1
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (459 p.)
• Collana: Computational mathematics and analysis series
• Altri autori (Persone): CharetonPeter G
• Disciplina: 518.0285
• Soggetti: Numerical analysis - Data processing
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Intro -- COMPUTATIONAL MATHEMATICS: THEORY, METHODS AND APPLICATIONS -- COMPUTATIONAL MATHEMATICS: THEORY, METHODS AND APPLICATIONS -- CONTENTS -- PREFACE -- ANALYTICAL AND NUMERICAL METHODS IN THE LINEAR STABILITY STUDY OF IDEAL FLOWS ON A SPHERE -- ABSTRACT -- 1. INTRODUCTION -- 2. HILBERT SPACES AND GEOMETRIC STRUCTURE OF SMOOTH FUNCTIONS ON A SPHERE -- 3. INTEGRAL FORMULAS RELATED TO THE JACOBIAN -- Lemma 1 -- 4. STEADY BVE SOLUTIONS ON A ROTATING SPHERE -- 5. CONSERVATION LAW FOR PERTURBATIONS TO LP FLOWS AND RH WAVES -- Theorem 1 -- 6. CONSERVATION LAW FOR INFINITESIMAL PERTURBATIONS TO WV WAVES AND MODONS -- Theorem 2 -- 7. UNIFIED CONSERVATION LAW FOR DISTURBANCES OF BE SOLUTIONS -- 8. INSTABILITY CONDITIONS FOR LP FLOWS, RH WAVES, WV WAVES AND MODONS -- Theorem 3 -- Example 1 -- Example 2 -- Example 3 -- Theorem 4 -- 9. PECULIARITIES OF INSTABILITY CONDITIONS FOR WV WAVES AND MODONS -- 10. ESTIMATES OF THE MAXIMUM GROWTH RATE OF UNSTABLE MODES -- Theorem 5 -- Theorem 6 -- 11. ORTHOGONALITY OF UNSTABLE MODES TO THE BASIC FLOW (BVE SOLUTION) -- Theorem 7 -- Corollary 1 -- Corollary 2 -- 12. NUMERICAL EXPERIMENTS -- Experiment 1 -- Experiment 2 -- Experiment 3 -- Experiment 4 -- 13. CONCLUSIONS -- ACKNOWLEDGMENTS -- REFERENCES -- REVIEWED BY -- PURE AND MIXED MATHEMATICS IN THE WORK OF LEONHARD EULER -- ABSTRACT -- 1. INTRODUCTION -- 2. THE RISE OF THE CONCEPT OF FUNCTIONS ; -- 3. ORDINARY DIFFERENTIAL EQUATIONS -- 4. DIFFERENTIATION AND INTEGRATION OF FUNCTIONS OF TWO VARIABLES -- 5. PARTIAL DIFFERENTIAL EQUATION -- 6. INFINITE POLYNOMIALS AND SERIES -- 7. MECHANICS -- 8. THE CALCULUS OF VARIATIONS AND THE PRINCIPLE OF THE LEAST ACTION -- 9. OTHER RESULTS IN MIXED MATHEMATICS -- REFERENCES -- APPLICATIONS OF COMPUTATIONAL GEOMETRY TO PROBLEMS OF POLITICAL COMPETITION -- ABSTRACT -- 1. INTRODUCTION.; 2. GEOMETRICAL SEARCH FOR OPTIMUM POSITIONS IN THE GAME WITH RESTRICTIONS: USE OF THE OPINION SURVEYS -- 2.1. The Opinion Surveys -- 2.1.1. Public Opinion and Politics Fiscal Survey Nº 2615 of the CIS -- 2.2. The Algorithm and the Simulation -- 2.2.1. A Graphic Approximation of the Algorithm -- 2.3. Simulation with an Example of the National Politics (Spain) -- 2.3.1. Algorithm Implementation -- 2.3.2. Results -- 2.4. Conclusions -- 3. GEOMETRICAL STUDY OF EQUILIBRIUM POSITIONS IN THE GAME WITH RESTRICTIONS -- 3.1. The Model -- 3.2. Equilibrium with Restrictions -- 3.2.1. Existence Conditions -- 3.2.2. Examples -- 3.3. Conclusions -- APPENDIX A: DEVELOPMENT OF THE ALGORITHM -- REFERENCES -- COHERENCE - HOMOTOPIES OF HIGHER ORDER -- INTRODUCTION -- 1. COHERENT SYSTEMS AND COHERENT MAPS -- Theorem 1.1 -- Theorem 1.2 -- Theorem 1.3 -- Theorem 1.4 -- 2. LEVEL COHERENT CATEGORY -- Theorem 2.1 -- Theorem 2.2 -- Theorem 2.3 -- Theorem 2.4 -- Theorem 2.5 -- Theorem 2.6 -- Theorem 2.7 -- Theorem 2.8 -- 3. COHERENT SHIFT AND COHERENT CATEGORY -- Proposition 3.1 -- Proposition 3.2. -- Theorem 3.1 -- Theorem 3.2 -- Theorem 3.3 -- Theorem 3.4 -- 4. RELATIONS OF COHERENT CATEGORIES -- Theorem 4.1 -- Theorem 4.2 -- APPENDIX: STRICT ORDERING VS ORDERING FOR DIRECTED SETS -- Theorem 1 -- Theorem 2 -- Theorem 3 -- REFERENCES -- STABLE MFS-BASED SOLUTION TO SINGULAR AND NON-SINGULAR INVERSE PROBLEMS FOR TWO-DIMENSIONAL HELMHOLTZ-TYPE EQUATIONS -- Abstract -- 1Introduction -- 2MathematicalFormulationoftheInverseProblems -- 3SingularSolutionsfortheTwo-DimensionalHelmholtz-TypeOperator -- 4SingularInverseProblem:SingularitySubtractionTechnique -- 5StandardandModifiedMethodsofFundamentalSolutions -- 6Regularization -- 6.1TheTikhonovRegularizationMethod -- 6.2TheL-CurveMethod -- 7NumericalResults -- 7.1AccuracyErrors -- 7.2Non-SingularInverseProblems -- 7.2.1Examples.; 7.2.2EffectoftheTRM -- 7.2.3ChoiceoftheOptimalRegularizationParameter -- 7.2.4NumericalStabilityoftheMethod -- 7.2.5NumericalConvergenceoftheMethod -- 7.3SingularInverseProblems -- 7.3.1Examples -- 7.3.2EffectoftheSST -- 7.3.3EffectoftheTRM -- 7.3.4ChoiceoftheOptimalRegularizationParameter -- 7.3.5NumericalStabilityoftheMethod -- 8Conclusion -- References -- VANDERMONDE SYSTEMS: THEORY AND APPLICATIONS -- 1Introduction -- 2PolynomialInterpolation -- 2.1LagrangeandNewtonform -- 2.2Lebesgueconstant -- 2.2.1Lebesgueconstantforequidistantnodes -- 2.3TheBj¨orckandPereyraalgorithm -- 3APropertyoftheElementarySymmetricFunctions -- 4PolynomialApproximationwithGauss-LobattoPoints -- 4.0.1Theinterpolationproblem -- 4.0.2Theleast-squaresproblem:explicitMoore-Penrosepseudo-inverseformula -- 4.0.3Theleast-squaresproblem:discreteorthogonalpolynomials -- 4.0.4Numericalproperties -- References -- A COMPARATIVE STUDY OF DIFFERENT SEMILOCAL CONVERGENCE RESULTS APPLIED TO KEPLER'S ; EQUATION -- Abstract -- 1Introduction -- 2Kantorovich'sTheoryAppliedtoKepler'sEquation -- 3Smale'sa-TheoryAppliedtoKepler'sEquation -- 4Conclusion -- References -- DISCRETE MAXIMUM PRINCIPLES FOR FEM SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS -- Abstract -- 1Introduction -- 2DiscreteMaximumPrinciplesinDifferentSettings -- 2.1Algebraicbackgroundandthe'matrixmaximumprinciple' -- 2.2SomemotivationfortheDMP -- 2.2.1Linearequationsandcontinuousmaximumprinciples -- 2.2.2TheDMPforasinglenonlinearellipticequation -- 2.3GeometricpropertiestoensuretheDMP -- 2.4AnalgebraicDMPinHilbertspace -- 2.4.1Formulationoftheoperatorequation -- 2.4.2Galerkintypediscretization -- 2.4.3Maximumprinciplefortheabstractdiscretizedproblem -- 3DiscreteMaximumPrinciplesforEllipticReaction-DiffusionTypeSystems -- 3.1Systemswithnonlinearcoefficients -- 3.1.1Formulationoftheproblem -- 3.1.2Finiteelementdiscretization.; 3.1.3Discretemaximumprincipleforsystemswithnonlinearcoefficients -- 3.2Systemswithgeneralreactiontermsofsublineargrowth -- 3.3Systemswithgeneralreactiontermsofsuperlineargrowth -- 3.4Sufficientconditionsandtheirgeometricmeaning -- 4DiscreteMaximumPrinciplesforEllipticSystemsIncludingFirstOrderTerms -- 4.1Nonsymmetricsystemswithnonlinearreactioncoefficients -- 4.2Nonsymmetricsystemswithsublinearreactionterms -- 4.3Nonsymmetricsystemswithsuperlinearreactionterms -- 4.4Nonsymmetricsystemswithnonlinearconvectioncoefficients -- 5Somereal-lifeexamples -- 5.1Reaction-diffusionsystemsinchemistry -- 5.2Linearellipticsystems -- 5.3Nonsymmetrictransportsystems -- Acknowledgments -- References -- NUMERICAL CONFORMAL MAPPINGS FOR WAVEGUIDES -- Abstract -- 1Introduction -- 2WaveScatteringinTwo-DimensionalWaveguides -- 2.1Theoriginalproblem -- 2.2TheBuildingBlockMethod -- 2.4Solvingtheresultingproblem -- 3ConformalMappingMethods -- 3.1ModifiedSchwarz-Christoffelmappingsforpolygonswithroundedcor-ners -- 3.2Approximatecurvefactors -- 3.3TheOuterPolygonMethod -- 3.4Usingthegeodesicalgorithmforchannels -- 4Conclusion -- References -- COMPUTATIONAL STUDY OF THE 3D AFFINE TRANSFORMATION -- 1Introduction -- 2Definitionofthe3-PointProblem -- 3NumericalSolutions -- 3.1GeneralpolynomialsolverbasedonnumericalGroebnerbasisandeigen-systemmethod -- 3.2Globalminimization -- 3.3HomotopySolution -- 4SymbolicSolutions -- 4.1Dixon'sResultant:BasicConcepts -- 4.2ConstructionofDixonResultant -- Cayley'sformulationofB´ezout'smethod -- Example -- Dixon'sgeneralizationoftheCayley-B´ezout'smethod -- Example -- 4.3ImprovedDixonresultant-Kapur,SaxenaandYangmethod -- 4.4HeuristicmethodstoacceleratetheDixonresultant -- 4.5Earlydiscoveryoffactors:theEDFmethod -- Example -- 4.6ApplicationoftheEDFmethod -- 4.7ApplicationofReducedGroebnerbasis -- 4.8Computationofotherparameters.; 5DefinitionoftheN-PointProblem -- 6SolutionoftheOverdeterminedModel -- 6.1DirectNumericalSolutionviaGlobalMinimization -- 6.2Newton-RaphsonwithDeflation -- Example -- 6.3ExtendedgeneralProcrustesalgorithm -- 7TheDeterminedModel -- 8NumericalSolutionoftheDeterminedModel -- 9ComplexityStudyoftheAlgorithms -- 10TheProperSelectionofthe3PointsforInitialGuessValues -- ; 11Conclusions -- Acknowledgments -- References -- DISTANCES BASED ON NEIGHBORHOOD SEQUENCES IN THE TRIANGULAR GRID -- Abstract -- 1Introduction -- 1.1Abriefhistoryofdigitalgeometry -- 2BasicDefinitionsandNotations -- 3TheShortestPaths -- 4ConditionforMetricDistances -- 5ComputingtheDistance -- 6DigitalCircles -- 7Conclusion -- References -- A STREAM IN THE STUDY ON NORMALITY OF S-PRODUCTS -- Abstract -- I.S-ProductsandInfiniteProducts -- 1Introduction -- 2ProductsofCompactFactors -- 3TheDefinitionofS-Products -- 4S-ProductsofMetricSpaces -- II.S-ProductswithCountableTightness -- 5TightnessandProducts -- 6S-ProductsofParacompactp-Spaces -- 7GeneralizedMetricSpaces -- 8S-ProductsofGeneralizedMetricSpaces -- 9S-ProductsofParacompactC-ScatteredSpaces -- 10Non-NormalityofS-Products -- III.S-ProductswithoutCountableTightness -- 11CollectionwiseNormalityofS-Products -- 12CountableParacompactnessofS-Products -- 13TheShrinkingPropertyofS-Products -- 14Non-NormalityofS-Products,Revisited -- IV.RectangularProducts -- 15RectangularProductsandCoveringDimension -- 16ProductsofMetricSpaces -- 17ProductsofGeneralizedMetricSpaces -- 18NormalCoversofProducts -- References -- THE COMPLETION OF FUZZY METRIC SPACES AND OF OTHER RELATED STRUCTURES -- Abstract -- 1IntroductionandPreliminaries -- 2TheCompletionofFuzzyMetricSpaces -- 3TheCompletionofStrongFuzzyMetricSpacesandofNon-ArchimedeanFuzzyMetricSpaces -- 4TheCompletionofFuzzyMetricGroups -- 5TheCompletionofIntuitionisticFuzzyMetricSpaces -- Acknowledgments.; References.
• Sommario/riassunto: Chareton gathers the latest research in this study of computational mathematics. He highlights such topics as coherence-homotopies of higher order, Vandermonde systems, numerical conformal mappings for waveguides, commutativity formulas for fundamental group entropy, the completion of fuzzy metric spaces and more.

Academic writing and genre : a systematic analysis / Ian Bruce

• Record Nr.: UNINA9910958006303321
• Autore: Bruce Ian <1953->
• Pubbl/distr/stampa: London ; New York, : Continuum, 2008
• ISBN: 9786612452246; 9781474211710; 1474211712; 9781282452244; 128245224X; 9781441136473; 1441136479
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (203 p.)
• Disciplina: 808.066
• Soggetti: Literary form - Study and teaching (Higher); Academic writing - Study and teaching (Higher)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages [171]-184) and index
• Nota di contenuto: 1. Genre constructs and the teaching of writing -- 2. The two main pedagogical approaches to genre: a review -- 3. Cognitive discourse categories -- 4. Operationalising cognitive genres -- 5. Cognitive genres and EAP writing courses -- 6. The scope of social genre knowledge -- 7. Teaching a higher level research genre -- Bibliography -- Index --
• Sommario/riassunto: The focus of this book is the use of genre-based approaches to teaching academic writing. Genre-based courses enable second language learners to integrate their linguistic, organisational and contextual knowledge in a variety of different tasks. The book reviews pedagogical approaches to genre through English for Specific Purposes and Systemic Functional Linguistics to present a synthesis of the current research being undertaken in the field. From this theoretical base, Ian Bruce proposes a new model of genre-based approaches to academic writing, and analyses the ways in which this can be implemented in pedagogy and curriculum design. Academic Writing ; and Genre is a cutting-edge monograph which will be essential reading for researchers in applied linguistics.

Evo-Devo: In Search of New Model Species / / edited by Waclaw Tworzydlo, Szczepan M. Bilinski

• Record Nr.: UNINA9911047817303321
• Autore: Tworzydlo Waclaw
• Pubbl/distr/stampa: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2026
• ISBN: 3-032-06766-9
• Edizione: [1st ed. 2026.]
• Descrizione fisica: 1 online resource (435 pages)
• Collana: Results and Problems in Cell Differentiation, , 1861-0412 ; ; 76
• Disciplina: 571.8
• Soggetti: Evolutionary developmental biology; Evolution (Biology); Cytology; Biodiversity; Evolutionary Developmental Biology; Evolutionary Biology; Cell Biology
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Chapter 1. Reflections on Model Species in Evolutionary Developmental Biology -- Chapter 2. Models in Evo-Devo: An Evolving Niche -- Chapter 3. Evo-Devo and the Biodiversity Crisis -- Chapter 4. The Everlasting Ovary: Decoding the Mechanisms of Lifelong Oogenesis in the Naked Mole-Rat -- Chapter 5. Trunk Muscle Differentiation and Growth in Vertebrates -- Chapter 6. Marine Model Organisms for Mechanobiology Studies -- Chapter 7. Evolution and Development of Insect Metamorphosis: A Case of Genetic Accommodation? -- Chapter 8. Oogenesis of the German Cockroach: From Morphology to Regulation -- Chapter 9. Analysis of Bush Cricket Oogenesis Provides an Insight into the Function and Anagenesis of an Enigmatic Organelle Assemblage – the Balbiani Body -- Chapter 10. The Ring‐legged Earwig, Euborellia annulipes (Dermaptera, Insecta): A Promising Model to Study ; Development and Reproductive Strategies of Hemimetabolous Insects -- Chapter 11. Female Germline Cysts in Clitellate Annelids. Organization, Functioning, and Diversity -- Chapter 12. Hydra at the Crossroads of Evolution: Insights into Cell Type Diversification, Regeneration, and Epigenetic Regulation -- Chapter 13. Carnivorous Plants as Model Species for Recent and Further Studies.
• Sommario/riassunto: The field of evolutionary developmental biology (Evo-Devo) has been profoundly shaped by a handful of classical model organisms — such as Drosophila melanogaster, Caenorhabditis elegans, zebrafish, mouse, and Arabidopsis — which have provided fundamental insights into the genetic and molecular mechanisms underlying development. However, relying solely on these few models has also imposed epistemological and practical limitations, particularly when it comes to addressing the diversity of developmental processes and evolutionary trajectories found across the tree of life. As Evo-Devo matures, there is a growing recognition of the need for new model systems that better capture the breadth of evolutionary innovations, ecological contexts, and phenotypic plasticity. This volume continues to advocate the use of strategically diversified model systems as tools for filling existing gaps. It also explores the philosophical, methodological and practical considerations in the search for new model species in Evo-Devo, highlighting recent successes, ongoing challenges, and the full potential of expanding the repertoire of model species. The book offers readers a fresh perspective on developmental processes and their natural diversity among different animal groups, fostering a deeper understanding. It broadens the horizons of experienced researchers and those just starting out in the field.