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Learning and Intelligent Optimization [[electronic resource] ] : 15th International Conference, LION 15, Athens, Greece, June 20–25, 2021, Revised Selected Papers / / edited by Dimitris E. Simos, Panos M. Pardalos, Ilias S. Kotsireas
Learning and Intelligent Optimization [[electronic resource] ] : 15th International Conference, LION 15, Athens, Greece, June 20–25, 2021, Revised Selected Papers / / edited by Dimitris E. Simos, Panos M. Pardalos, Ilias S. Kotsireas
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
Descrizione fisica 1 online resource (423 pages)
Disciplina 006.31
Collana Theoretical Computer Science and General Issues
Soggetto topico Mathematics - Data processing
Computer engineering
Computer networks
Algorithms
Computational Mathematics and Numerical Analysis
Computer Engineering and Networks
Aprenentatge automàtic
Soggetto genere / forma Congressos
Llibres electrònics
ISBN 3-030-92121-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910512187303321
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Learning and Intelligent Optimization [[electronic resource] ] : 15th International Conference, LION 15, Athens, Greece, June 20–25, 2021, Revised Selected Papers / / edited by Dimitris E. Simos, Panos M. Pardalos, Ilias S. Kotsireas
Learning and Intelligent Optimization [[electronic resource] ] : 15th International Conference, LION 15, Athens, Greece, June 20–25, 2021, Revised Selected Papers / / edited by Dimitris E. Simos, Panos M. Pardalos, Ilias S. Kotsireas
Edizione [1st ed. 2021.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
Descrizione fisica 1 online resource (423 pages)
Disciplina 006.31
Collana Theoretical Computer Science and General Issues
Soggetto topico Mathematics - Data processing
Computer engineering
Computer networks
Algorithms
Computational Mathematics and Numerical Analysis
Computer Engineering and Networks
Aprenentatge automàtic
Soggetto genere / forma Congressos
Llibres electrònics
ISBN 3-030-92121-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISA-996464507203316
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Maple in mathematics education and research : 4th Maple Conference, MC 2020, Waterloo, Ontario, Canada, November 2-6, 2020, Revised selected papers / / Robert M. Corless, Jurgen Gerhard, Ilias S. Kotsireas (editors)
Maple in mathematics education and research : 4th Maple Conference, MC 2020, Waterloo, Ontario, Canada, November 2-6, 2020, Revised selected papers / / Robert M. Corless, Jurgen Gerhard, Ilias S. Kotsireas (editors)
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (474 pages)
Disciplina 510.285
Collana Communications in Computer and Information Science Ser.
Soggetto topico Mathematics - Data processing
ISBN 3-030-81698-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Foreword -- Preface -- Organization -- Contents -- Keynote Presentation -- Bohemian Matrices: Past, Present and Future -- 1 Introduction and Terminology -- 2 The Past -- 3 The Present -- 4 The Future -- References -- Accepted Papers Alphabetically by Author -- The TruncatedSeries Package for Solving Linear Ordinary Differential Equations Having Truncated Series Coefficients -- 1 Introduction -- 2 Short Specification of the Package -- 3 LaurentSolution -- 4 RegularSolution -- 5 FormalSolution -- References -- Computation of the Observed Spectral Sequence Spectrum for Nucleotide Sequence Alignments -- 1 Phylogenetic Reconstruction -- 1.1 Introduction -- 1.2 Problem Statement -- 1.3 Definitions -- 1.4 Existence of Gaps -- 2 Procedures -- 2.1 Computation of the Observed Spectral Sequence Spectrum -- 2.2 Filling the Gaps of an Alignment -- 3 Real Application -- 3.1 Molecular Data -- 4 Conclusions -- References -- Multivariate Power Series in Maple -- 1 Introduction -- 2 Background -- 2.1 Power Series -- 2.2 Univariate Polynomials over Power Series -- 3 An Overview of the User-Interface -- 4 Design Principles -- 4.1 Lazy Evaluation -- 4.2 Maple Data Structures and Built-in Functions -- 4.3 Maple Objects -- 5 Implementation of MultivariatePowerSeries -- 5.1 PowerSeriesObject -- 5.2 UnivariatePolynomialOverPowerSeriesObject -- 6 Experimentation -- 7 Conclusions and Future Work -- References -- Bernoulli's Problem x^y=y^x and Maple -- 1 Bernoulli's Problem -- 1.1 Comparing Solutions -- 2 A Class of Simplifications -- 2.1 Limitations to Simplification -- 3 Implementation -- 3.1 The Argument -- 3.2 Testing Simplification -- 3.3 Option Parametric -- 4 Concluding Remarks -- References -- Student Satisfaction Determinants in Hybrid Learning Environments Based on MAPLE -- 1 Introduction -- 1.1 Necessities of Pre-courses in Mathematics.
1.2 Knowledge Gap and Challenges in Mathematics -- 2 Digital Bridge Course Mathematics -- 2.1 General Course Structure -- 2.2 Self-study Materials Using Möbius Courseware and MAPLE -- 2.3 Student's Experience -- 3 Acquired Experiences and Knowledge -- 3.1 Course Organization -- 3.2 Working with Möbius and MAPLE -- 4 Summary -- References -- Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs - A MAPLE Package -- 1 Introduction -- 2 Theoretical and Algorithmic Framework -- 2.1 Formal Puiseux Series Solutions -- 2.2 Algebraic Solutions -- 3 The Package FirstOrderSolve -- 3.1 Overview of the Software Structure -- 3.2 Description of the Software Components -- 3.3 Usage of the Package -- References -- Algebraic Aspects of a Rank Factorization Problem Arising in Vibration Analysis -- 1 Introduction -- 2 The Rank Factorization Problem -- 3 Characterization of P -- 4 Local and Global Studies of the Solution Space -- 4.1 Existence of a Local/Global Right Inverse E of B -- 4.2 Existence of a Local/Global Basis C of kerR(B.) -- References -- Computation of the L-norm of Finite-Dimensional Linear Systems -- 1 Introduction -- 2 Problem Description -- 3 Rational Univariate Representation Method -- 4 Roots Separation Method -- 5 Sturm-Habicht Method -- 6 Experiments -- 6.1 Practical Example -- 6.2 Experiments -- 7 Conclusion -- References -- A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations -- 1 Introduction -- 2 Theoretical and Algorithmic Framework -- 2.1 The Curve Case -- 2.2 The Surface Case: A Partial Solution -- 3 The Package Luroth -- 3.1 General Description -- 3.2 Illustrative Examples -- 4 Approaching the General Case -- 5 Appendix -- References -- A Maple Implementation of the Finite Element Method for Solving Boundary-Value Problems for Systems of Second-Order Ordinary Differential Equations.
1 Introduction -- 2 The Problem Statement -- 2.1 The Boundary-Value Problems -- 2.2 Finite Element Scheme -- 3 Benchmark Calculations -- 3.1 ODE with Potential Calculated by Quantum Chemistry -- 3.2 ODE System with Piecewise Constant Potentials -- 4 Conclusion -- A Generation of IHPs on the Standard Interval -- B Calculation of the FEM Scheme Characteristics -- C FEM generation of Algebraic Eigenvalue Problem -- References -- Blends in Maple -- 1 Introduction -- 1.1 The Basic Formula -- 1.2 Applications -- 1.3 Initial Examples -- 2 Truncation Error and Rounding Error -- 2.1 Conditioning and the Lebesgue Function -- 3 Integration of a Blend -- 4 Horner Form -- 4.1 ``Automatic'' Differentiation -- 4.2 User Interface Considerations -- 5 Testing and Timing -- 6 Future Work -- References -- Certified Evaluations of Hölder Continuous Functions at Roots of Polynomials -- 1 Introduction -- 2 Hölder Continuous Functions -- 2.1 Polynomials -- 2.2 Rational Functions -- 3 Certification of Roots -- 4 Certified Evaluations -- 5 Implementation and Examples -- 5.1 Critical Values -- 5.2 Comparison with Ball Arithmetic -- 5.3 Extending with Custom Hölder Information Procedures -- 5.4 Benchmarking -- 6 Application to Prove Non-negativity -- 6.1 Classification of Roots -- 6.2 Certification of Non-negativity -- 7 Conclusion -- A Appendix -- References -- Maple for Distance Education in Secondary Schools During the COVID-19 Emergency -- 1 Introduction -- 2 Methodologies -- 3 Results -- 3.1 Descriptive Analysis -- 3.2 Classification of Worksheets into Five Categories -- 3.3 Representative Examples of the Various Categories of Worksheet -- 3.4 Analysis of Student Participation -- 4 Conclusion -- References -- Development of Problem Solving Skills with Maple in Higher Education -- 1 Introduction -- 1.1 Outline of the Research -- 2 State of the Art.
3 Problem Solving Inside University Modules -- 4 Methodology -- 5 Results -- 6 Examples -- 7 Conclusion -- References -- Modelling and Sensitivity Analysis of Nonlinear Firefighting Systems Using Maple -- 1 Introduction -- 2 One-at-a-Time Sensitivity Study Using Fuzzy Logic -- 3 Modelling and Sensitivity Study of Nonlinear Fire Truck Suspension Models -- 3.1 Heavy-Duty Fire Truck -- 3.2 Double Cabin Fire Truck -- 4 Conclusions and Further Research Tasks -- References -- Merging Maple and GeoGebra Automated Reasoning Tools -- 1 GeoGebra's Automated Reasoning Tools -- 2 The Symbolic Computation Background: Basic Facts -- 3 Using Maple in Automated Reasoning in Elementary Geometry -- 4 Conclusions -- References -- AGADE-A Maple Package for Computing Rational General Solutions of Parametrizable First-Order Algebraic ODEs -- 1 Introduction -- 2 Preliminaries -- 3 Algorithms for Parametrizable AODEs -- 3.1 Surface-Parametrizable AODEs -- 3.2 Curve-Parametrizable AODEs -- 3.3 Special Case for Autonomous AODEs -- 3.4 Planar Rational Systems -- 4 The Maple Package AGADE -- 5 Conclusion and Outlook -- References -- Estimation of Travel Time for Additional Metrobus Route -- 1 Introduction -- 2 Some Elements of the State of Art -- 3 Proposal of Metrobus Routes -- 4 The Model to Document the Proposal -- 4.1 Travel Time for Proposed Routes -- 5 Maple Algorithm for the Model -- 6 Results and Discussion -- 7 Conclusive Notes -- References -- Understanding Math Concepts in Music and Vice-Versa -- 1 Introduction -- 2 Basic Terms/Math -- 3 Basic Terms/Music -- 4 Pitch Frequencies and Tuning -- 5 Creating Notes in Maple -- 6 Counterpoint -- References -- Numerical Solution for Radial Distortion Rectification in Optical Systems -- 1 Introduction -- 2 Direct and Inverse Warp Process Transformation.
3 Numerical Solution Algorithm for Radial Distortion Parameters with Gauss-Newton Approach -- 4 Results -- 5 Discussion -- 6 Conclusion -- A Homogeneous coordinates -- A.1 Correspondence Between Planes -- A.2 Homogeneous Coordinates and DLT Maple Listings -- B Support Functions Maple Listings -- C Numerical Solution for Radial Distortion Maple Listings -- References -- A Simplified Introduction to Virus Propagation Using Maple's Turtle Graphics Package Suitable for Children -- 1 Introduction -- 1.1 Turtle Geometry and Logo Programming Language -- 1.2 Other Implementations of Turtle Geometry -- 2 Revisiting the 1994 Maple Implementation of Turtle Geometry -- 2.1 Main Procedures of the Implementation -- 2.2 List of Commands Implemented in Maple -- 2.3 Available Information About the Status of the Turtle -- 2.4 Examples of the Use of the Turtle Geometry Maple Package -- 3 The Origin of this Work -- 4 The Original Tale (Scratch 3 Version) -- 5 The Maple Version of the Tale -- 6 Conclusions -- References -- A Maple Toolchain for Rigid Body Dynamics of Serial, Hybrid and Parallel Robots -- 1 Introduction and State of the Art -- 2 Comparison of Existing Toolboxes for Robot Dynamics -- 3 Robot Dynamics and Unit Testing Framework -- 3.1 Serial-Link Robots -- 3.2 Serial-Hybrid Robots -- 3.3 Parallel Robots -- 4 Description of the Proposed Toolchain -- 5 Application to a Model Database Framework -- 6 Conclusion -- References -- Rational Trigonometry Using Maple -- 1 Norman J. Wildberger's Dream -- 2 Re-definitions (Vector Version) -- 2.1 Quadrance -- 2.2 Spread -- 3 Five Laws for Rational Trigonometry -- 3.1 Pythagoras' Theorem (PT) -- 3.2 Triple Quad Formula (TQF) -- 3.3 Cross Law (CL) -- 3.4 Spread Law (SL) -- 3.5 Triple Spread Formula (TSF) -- 4 An Application -- 4.1 The Rational Way -- 4.2 The Transcendent Way -- 5 Conclusion -- References.
Power Series Representations of Hypergeometric Type Functions.
Record Nr. UNINA-9910495173103321
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Maple in mathematics education and research : 4th Maple Conference, MC 2020, Waterloo, Ontario, Canada, November 2-6, 2020, Revised selected papers / / Robert M. Corless, Jurgen Gerhard, Ilias S. Kotsireas (editors)
Maple in mathematics education and research : 4th Maple Conference, MC 2020, Waterloo, Ontario, Canada, November 2-6, 2020, Revised selected papers / / Robert M. Corless, Jurgen Gerhard, Ilias S. Kotsireas (editors)
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica 1 online resource (474 pages)
Disciplina 510.285
Collana Communications in Computer and Information Science Ser.
Soggetto topico Mathematics - Data processing
ISBN 3-030-81698-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Foreword -- Preface -- Organization -- Contents -- Keynote Presentation -- Bohemian Matrices: Past, Present and Future -- 1 Introduction and Terminology -- 2 The Past -- 3 The Present -- 4 The Future -- References -- Accepted Papers Alphabetically by Author -- The TruncatedSeries Package for Solving Linear Ordinary Differential Equations Having Truncated Series Coefficients -- 1 Introduction -- 2 Short Specification of the Package -- 3 LaurentSolution -- 4 RegularSolution -- 5 FormalSolution -- References -- Computation of the Observed Spectral Sequence Spectrum for Nucleotide Sequence Alignments -- 1 Phylogenetic Reconstruction -- 1.1 Introduction -- 1.2 Problem Statement -- 1.3 Definitions -- 1.4 Existence of Gaps -- 2 Procedures -- 2.1 Computation of the Observed Spectral Sequence Spectrum -- 2.2 Filling the Gaps of an Alignment -- 3 Real Application -- 3.1 Molecular Data -- 4 Conclusions -- References -- Multivariate Power Series in Maple -- 1 Introduction -- 2 Background -- 2.1 Power Series -- 2.2 Univariate Polynomials over Power Series -- 3 An Overview of the User-Interface -- 4 Design Principles -- 4.1 Lazy Evaluation -- 4.2 Maple Data Structures and Built-in Functions -- 4.3 Maple Objects -- 5 Implementation of MultivariatePowerSeries -- 5.1 PowerSeriesObject -- 5.2 UnivariatePolynomialOverPowerSeriesObject -- 6 Experimentation -- 7 Conclusions and Future Work -- References -- Bernoulli's Problem x^y=y^x and Maple -- 1 Bernoulli's Problem -- 1.1 Comparing Solutions -- 2 A Class of Simplifications -- 2.1 Limitations to Simplification -- 3 Implementation -- 3.1 The Argument -- 3.2 Testing Simplification -- 3.3 Option Parametric -- 4 Concluding Remarks -- References -- Student Satisfaction Determinants in Hybrid Learning Environments Based on MAPLE -- 1 Introduction -- 1.1 Necessities of Pre-courses in Mathematics.
1.2 Knowledge Gap and Challenges in Mathematics -- 2 Digital Bridge Course Mathematics -- 2.1 General Course Structure -- 2.2 Self-study Materials Using Möbius Courseware and MAPLE -- 2.3 Student's Experience -- 3 Acquired Experiences and Knowledge -- 3.1 Course Organization -- 3.2 Working with Möbius and MAPLE -- 4 Summary -- References -- Puiseux Series and Algebraic Solutions of First Order Autonomous AODEs - A MAPLE Package -- 1 Introduction -- 2 Theoretical and Algorithmic Framework -- 2.1 Formal Puiseux Series Solutions -- 2.2 Algebraic Solutions -- 3 The Package FirstOrderSolve -- 3.1 Overview of the Software Structure -- 3.2 Description of the Software Components -- 3.3 Usage of the Package -- References -- Algebraic Aspects of a Rank Factorization Problem Arising in Vibration Analysis -- 1 Introduction -- 2 The Rank Factorization Problem -- 3 Characterization of P -- 4 Local and Global Studies of the Solution Space -- 4.1 Existence of a Local/Global Right Inverse E of B -- 4.2 Existence of a Local/Global Basis C of kerR(B.) -- References -- Computation of the L-norm of Finite-Dimensional Linear Systems -- 1 Introduction -- 2 Problem Description -- 3 Rational Univariate Representation Method -- 4 Roots Separation Method -- 5 Sturm-Habicht Method -- 6 Experiments -- 6.1 Practical Example -- 6.2 Experiments -- 7 Conclusion -- References -- A Maple Package to Deal with the Birationality of Curves and Surfaces Parametrizations -- 1 Introduction -- 2 Theoretical and Algorithmic Framework -- 2.1 The Curve Case -- 2.2 The Surface Case: A Partial Solution -- 3 The Package Luroth -- 3.1 General Description -- 3.2 Illustrative Examples -- 4 Approaching the General Case -- 5 Appendix -- References -- A Maple Implementation of the Finite Element Method for Solving Boundary-Value Problems for Systems of Second-Order Ordinary Differential Equations.
1 Introduction -- 2 The Problem Statement -- 2.1 The Boundary-Value Problems -- 2.2 Finite Element Scheme -- 3 Benchmark Calculations -- 3.1 ODE with Potential Calculated by Quantum Chemistry -- 3.2 ODE System with Piecewise Constant Potentials -- 4 Conclusion -- A Generation of IHPs on the Standard Interval -- B Calculation of the FEM Scheme Characteristics -- C FEM generation of Algebraic Eigenvalue Problem -- References -- Blends in Maple -- 1 Introduction -- 1.1 The Basic Formula -- 1.2 Applications -- 1.3 Initial Examples -- 2 Truncation Error and Rounding Error -- 2.1 Conditioning and the Lebesgue Function -- 3 Integration of a Blend -- 4 Horner Form -- 4.1 ``Automatic'' Differentiation -- 4.2 User Interface Considerations -- 5 Testing and Timing -- 6 Future Work -- References -- Certified Evaluations of Hölder Continuous Functions at Roots of Polynomials -- 1 Introduction -- 2 Hölder Continuous Functions -- 2.1 Polynomials -- 2.2 Rational Functions -- 3 Certification of Roots -- 4 Certified Evaluations -- 5 Implementation and Examples -- 5.1 Critical Values -- 5.2 Comparison with Ball Arithmetic -- 5.3 Extending with Custom Hölder Information Procedures -- 5.4 Benchmarking -- 6 Application to Prove Non-negativity -- 6.1 Classification of Roots -- 6.2 Certification of Non-negativity -- 7 Conclusion -- A Appendix -- References -- Maple for Distance Education in Secondary Schools During the COVID-19 Emergency -- 1 Introduction -- 2 Methodologies -- 3 Results -- 3.1 Descriptive Analysis -- 3.2 Classification of Worksheets into Five Categories -- 3.3 Representative Examples of the Various Categories of Worksheet -- 3.4 Analysis of Student Participation -- 4 Conclusion -- References -- Development of Problem Solving Skills with Maple in Higher Education -- 1 Introduction -- 1.1 Outline of the Research -- 2 State of the Art.
3 Problem Solving Inside University Modules -- 4 Methodology -- 5 Results -- 6 Examples -- 7 Conclusion -- References -- Modelling and Sensitivity Analysis of Nonlinear Firefighting Systems Using Maple -- 1 Introduction -- 2 One-at-a-Time Sensitivity Study Using Fuzzy Logic -- 3 Modelling and Sensitivity Study of Nonlinear Fire Truck Suspension Models -- 3.1 Heavy-Duty Fire Truck -- 3.2 Double Cabin Fire Truck -- 4 Conclusions and Further Research Tasks -- References -- Merging Maple and GeoGebra Automated Reasoning Tools -- 1 GeoGebra's Automated Reasoning Tools -- 2 The Symbolic Computation Background: Basic Facts -- 3 Using Maple in Automated Reasoning in Elementary Geometry -- 4 Conclusions -- References -- AGADE-A Maple Package for Computing Rational General Solutions of Parametrizable First-Order Algebraic ODEs -- 1 Introduction -- 2 Preliminaries -- 3 Algorithms for Parametrizable AODEs -- 3.1 Surface-Parametrizable AODEs -- 3.2 Curve-Parametrizable AODEs -- 3.3 Special Case for Autonomous AODEs -- 3.4 Planar Rational Systems -- 4 The Maple Package AGADE -- 5 Conclusion and Outlook -- References -- Estimation of Travel Time for Additional Metrobus Route -- 1 Introduction -- 2 Some Elements of the State of Art -- 3 Proposal of Metrobus Routes -- 4 The Model to Document the Proposal -- 4.1 Travel Time for Proposed Routes -- 5 Maple Algorithm for the Model -- 6 Results and Discussion -- 7 Conclusive Notes -- References -- Understanding Math Concepts in Music and Vice-Versa -- 1 Introduction -- 2 Basic Terms/Math -- 3 Basic Terms/Music -- 4 Pitch Frequencies and Tuning -- 5 Creating Notes in Maple -- 6 Counterpoint -- References -- Numerical Solution for Radial Distortion Rectification in Optical Systems -- 1 Introduction -- 2 Direct and Inverse Warp Process Transformation.
3 Numerical Solution Algorithm for Radial Distortion Parameters with Gauss-Newton Approach -- 4 Results -- 5 Discussion -- 6 Conclusion -- A Homogeneous coordinates -- A.1 Correspondence Between Planes -- A.2 Homogeneous Coordinates and DLT Maple Listings -- B Support Functions Maple Listings -- C Numerical Solution for Radial Distortion Maple Listings -- References -- A Simplified Introduction to Virus Propagation Using Maple's Turtle Graphics Package Suitable for Children -- 1 Introduction -- 1.1 Turtle Geometry and Logo Programming Language -- 1.2 Other Implementations of Turtle Geometry -- 2 Revisiting the 1994 Maple Implementation of Turtle Geometry -- 2.1 Main Procedures of the Implementation -- 2.2 List of Commands Implemented in Maple -- 2.3 Available Information About the Status of the Turtle -- 2.4 Examples of the Use of the Turtle Geometry Maple Package -- 3 The Origin of this Work -- 4 The Original Tale (Scratch 3 Version) -- 5 The Maple Version of the Tale -- 6 Conclusions -- References -- A Maple Toolchain for Rigid Body Dynamics of Serial, Hybrid and Parallel Robots -- 1 Introduction and State of the Art -- 2 Comparison of Existing Toolboxes for Robot Dynamics -- 3 Robot Dynamics and Unit Testing Framework -- 3.1 Serial-Link Robots -- 3.2 Serial-Hybrid Robots -- 3.3 Parallel Robots -- 4 Description of the Proposed Toolchain -- 5 Application to a Model Database Framework -- 6 Conclusion -- References -- Rational Trigonometry Using Maple -- 1 Norman J. Wildberger's Dream -- 2 Re-definitions (Vector Version) -- 2.1 Quadrance -- 2.2 Spread -- 3 Five Laws for Rational Trigonometry -- 3.1 Pythagoras' Theorem (PT) -- 3.2 Triple Quad Formula (TQF) -- 3.3 Cross Law (CL) -- 3.4 Spread Law (SL) -- 3.5 Triple Spread Formula (TSF) -- 4 An Application -- 4.1 The Rational Way -- 4.2 The Transcendent Way -- 5 Conclusion -- References.
Power Series Representations of Hypergeometric Type Functions.
Record Nr. UNISA-996464498803316
Cham, Switzerland : , : Springer, , [2021]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui