| Author: |
Ilias S. Kotsireas, Siegfried M. Rump & Chee K. Yap
|
| Release at: | 2016 |
| Pages: | 631 |
| Edition: |
First Edition
|
| File Size: | 25 MB |
| File Type: | |
| Language: | English |
Description of Mathematical Aspects of Computer and Information Sciences (PDF)
Mathematical Aspects of Computer and Information Sciences written by Ilias S. Kotsireas, Siegfried M. Rump & Chee K. Yap is a great book available in (eBook) PDF download. This Mathematical Aspects of Computer book is a series of biennial conferences focusing on research in mathematical and computational aspects of computing and information science. It's broadly concerned with algorithms, their embedding, and their complexity in larger logical systems. At the algorithmic level, there is a rich interplay along the numerical, algebraic, geometric, topological axes.
Mathematical Aspects of Computer and Information Sciences (MACIS) is a series of biennial conferences focusing on research in mathematical and computational aspects of computing and information science. It is broadly concerned with algorithms, their complexity, and their embedding in larger logical systems. At the algorithmic level, there is a rich interplay along the numerical/algebraic/geometric/topological axes. At the logical level, there are issues of data organization, interpretation, and associated tools. These issues often arise in scientific and engineering computation where we need experimental and case studies to validate or enrich the theory. MACIS is interested in outstanding and emerging problems in all these areas.
Previous MACIS conferences have been held in Beijing (2006, 2011), Paris (2007), Fukuoka (2009), and Nanning (2013). MACIS 2015 was held at the Zuse Institute Berlin (ZIB) located in the capital of Germany, in the vicinity of the Freie Universität Berlin. Named after Konrad Zuse, the inventor of the first programmable computer, ZIB is an interdisciplinary research institute for applied mathematics and data-intensive high-performance computing. Its research areas in modeling, simulation, and optimization in partnership with academia and industry are exemplary of the goals of MACIS.
Content of Mathematical Aspects of Computer and Information Sciences (PDF)
Invited Papers
Chapter 1: Current Challenges in Developing Open Source Computer Algebra Systems
Chapter 2: Exploiting Structure in Floating-Point Arithmetic
Chapter 3: Symbolic Geometric Reasoning with Advanced Invariant Algebras
Chapter 4: Congruence Testing of Point Sets in Three and Four Dimensions: Results and Techniques
Curves and Surfaces
Chapter 5: Mesh Reduction to Exterior Surface Parts via Random Convex-Edge Affine Features
Chapter 6: Numeric and Certified Isolation of the Singularities of the Projection of a Smooth Space Curve
Chapter 7: Linear k-Monotonicity Preserving Algorithms and Their Approximation Properties
Applied Algebraic Geometry
Chapter 8: Workspace Multiplicity and Fault Tolerance of Cooperating Robots
Chapter 9: Numerical Local Irreducible Decomposition
Chapter 10: Computing the Chow Variety of Quadratic Space Curves
Chapter 11: Numerically Testing Generically Reduced Projective Schemes for the Arithmetic Gorenstein Property
Chapter 12: Some Results Concerning the Explicit Isomorphism Problem over Number Fields
Cryptography
Chapter 13: Implementing Cryptographic Pairings on Accumulator Based Smart Card Architectures
Chapter 14: Short Group Signatures with Distributed Traceability
Chapter 15: On the Optimality of Differential Fault Analyses on CLEFIA
Verified Numerical Computation
Chapter 16: H3 and H4 Regularities of the Poisson Equation on Polygonal Domains
Chapter 17: Explicit Error Bound for Modified Numerical Iterated Integration by Means of Sinc Methods
Chapter 18: Verified Computations for Solutions to Semilinear Parabolic Equations Using the Evolution Operator
Chapter 19: Verified Error Bounds for the Real Gamma Function Using Double Exponential Formula over Semi-infinite Interval
Polynomial System Solving
Chapter 20: Improving a CGS-QE Algorithm
Chapter 21: Efficient Subformula Orders for Real Quantifier Elimination of Non-prenex Formulas
Chapter 22: Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases
Chapter 23: Advanced Algebraic Attack on Trivium
Managing Massive Data
Chapter 24: Compressing Big Data: When the Rate of Convergence to the Entropy Matters
Chapter 25: Trends in Temporal Reasoning: Constraints, Graphs and Posets
Chapter 26: Reconstructing a Sparse Solution from a Compressed Support Vector Machine
Chapter 27: Using Statistical Search to Discover Semantic Relations of Political Lexica Evidences from Bulgarian-Slovak EUROPARL 7 Corpus
Computational Theory of Differential and Difference Equations
Chapter 28: Simple Differential Field Extensions and Effective Bounds
Chapter 29: A New Bound for the Existence of Differential Field Extensions
Chapter 30: Dimension Polynomials of Intermediate Fields of Inversive Difference Field Extensions
Chapter 31: A “Polynomial Shifting” Trick in Differential Algebra
Data and Knowledge Exploration
Chapter 32: Searching for Geometric Theorems Using Features Retrieved from Diagrams
Chapter 33: New Method for Instance Feature Selection Using Redundant Features for Biological Data
Chapter 34: Faceted Search for Mathematics
Chapter 35: Evaluation of a Predictive Algorithm for Converting Linear Strings to Mathematical Formulae for an Input Method
Algorithm Engineering in Geometric Computing
Chapter 36: Linear Programs and Convex Hulls Over Fields of Puiseux Fractions
Chapter 37: Another Classroom Example of Robustness Problems in Planar Convex Hull Computation
Chapter 38: Precision-Driven Computation in the Evaluation of Expression-Dags with Common Subexpressions: Problems and Solutions
Real Complexity: Theory and Practice
Chapter 39: Rigorous Numerical Computation of Polynomial Differential Equations Over Unbounded Domains
Chapter 40: Using Taylor Models in Exact Real Arithmetic
Chapter 41: On the Computational Complexity of Positive Linear Functionals on C1⁄20; 1
Chapter 42: Average-Case Bit-Complexity Theory of Real Functions
Chapter 43: Certifying Trajectories of Dynamical Systems
Global Optimization
Chapter 44: A New Matrix Splitting Based Relaxation for the Quadratic Assignment Problem
Chapter 45: Global Optimization of H1 Problems: Application to Robust Control Synthesis Under Structural Constraints
Chapter 46: Global Optimization Based on Contractor Programming: An Overview of the IBEX Library
Chapter 47: The Bernstein Branch-and-Prune Algorithm for Constrained Global Optimization of Multivariate Polynomial MINLPs
General Session
Chapter 48: Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental
Chapter 49: On the Quality of Some Root-Bounds
Chapter 50: Relative Hilbert-Post Completeness for Exceptions
Chapter 51: Optimal Coverage in Automotive Configuration
Index
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