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Table of Contents
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.)
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.)