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Contributors

Preface

Keynote Address

Invited Papers

On Chernoff Faces

Graphical Representations as a Discipline

An Academic in Industry

Combinatorial Optimization: What Is the State of the Art?

Cryptographic Methods for Data Protection

Graphics: From Alpha to Omega in Data Analysis

An Engineer's View of Unsolved Problems in Constrained Optimization

Application of Graphical Multivariate Techniques in Policy Sciences

An Applied Mathematician's View of Optimization

Contributed Papers

Differential Equations

Solution of a Nonlinear Tricomi Equation by Taylor Series

Comparison Between Two Error Estimation Procedures

A Case History in Interactive Problem-Solving

An Initial-Value Technique for the Solution of Eigenvalue Problems Associated with Two-Point Boundaries

The Numerical Evaluation of Hopf Bifurcation Formulae

Singularly Perturbed Nonlinear Robin Problems

A Mathematical Model of a Gas-Water Reservoir

Fluctuations in Systems with Multiple Steady States: Application to Lanchester Equations

Ballistics Function Modeling in Real Time Digital Computers

Solutions of Free Surface Problems Using a Rayleigh-Ritz Procedure

Lie Theory and Differential Equations

Finite Mathematics

The Use of Symmetry Groups in the Representation and Interpretation of Alternative Theories of Fair Distribution

Extrapolating to the Limit of a Vector Sequence

On the Geometry of Stable Polynomials of One and Two Variables

Changes in Relative Matrix Eigenvalues

Optimum Paths in Lattice Graphs

Gauss-Seidel and Successive Over-Relaxation in Parallel Processing Mode

On the System Theoretical Description of the Video Signal Generation and the Transmission of Moving Pictures

A Matrix Method for the Construction of Multidimensional Gaussian Quadrature Formulas

PRE-Conditioning, ILL-Conditioning in a Matrix Process

Spline Filters

Cracking a Multiplicative Congruential Encryption Algorithm

Natural Cubic Splines Are Unnatural

Solving Linear Systems of Equations

Optimization

Optimally Directed Antennas

Feedbck Control of Linear Diffusion Processes

Parameter Identification for Linear Hereditary Systems via an Approximation Technique

Relaxational Methods for Large-Scale Entropy Optimization Problems, with Application in Image Reconstruction

C3 Modeling

The Use of the Distance-Neighbor Function to Select Service Centers

Two Algorithms for Shortest Paths through Multiple Criteria Networks

Practical Techniques of Optimal Smoothing, with Application to the Numerical Differentiation of Noisy Data and Smoothing of Log Spectral Density Estimates

Stochastic Modeling

Stochastic Operators and Dynamical Systems

Stochastic Matrices: Some Results and Applications

The Product Form Queueing Network Model in Computer System Analysis

Probabilistic Dynamic Programming for Fault Isolation

Stochastic Green's Functions and Scattering Functions

Applied Mathematics and Engineering in the Transport of Antarctic Ice Resources

Doubly Stochastic Matrices and Sequential Data Association, Part I

Further Applications of the Dynamic Data System (DDS) Approach

### Peter Wang

- 1st Edition - November 12, 2012
- Editor: Peter Wang
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 4 1 2 2 5 4 - 3
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 1 4 1 6 7 - 3

Information Linkage Between Applied Mathematics and Industry is a collection of papers dealing with mathematics in engineering context and applications. One paper describes… Read more

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Information Linkage Between Applied Mathematics and Industry is a collection of papers dealing with mathematics in engineering context and applications. One paper describes Chernoff faces as a technique of representing multidimensional data and compares the technique with Andrews' sine curves and Anderson's metroglyphys. Another paper investigates practical problems that can arise during implementation of the methods of parameter optimization, using as an example the trajectory of the space shuttle from liftoff to insertion into orbit. One paper analyzes Soviet foreign policy using a graphical representation of k-dimensional data as a statistical tool, written specifically for analysts in foreign policy and international relations. During the period 1964-1975, Soviet foreign policy is active in 25 Sub-Saharan African countries. Another paper discusses ballistics modeling in real time and recommends that investigators be familiar with the computer language to be used, the type of system to be applied, the type of weapon to be modeled, the accuracy required, and other existing ballistic programs. Other papers discuss probabilistic dynamic programming for fault isolation and applied mathematics, as well as engineering in the transport of Antarctic ice resources. The collection can prove valuable to mathematicians, engineers, or designers of industrial processes, computers, aviation, and space technology.

Contributors

Preface

Keynote Address

Invited Papers

On Chernoff Faces

Graphical Representations as a Discipline

An Academic in Industry

Combinatorial Optimization: What Is the State of the Art?

Cryptographic Methods for Data Protection

Graphics: From Alpha to Omega in Data Analysis

An Engineer's View of Unsolved Problems in Constrained Optimization

Application of Graphical Multivariate Techniques in Policy Sciences

An Applied Mathematician's View of Optimization

Contributed Papers

Differential Equations

Solution of a Nonlinear Tricomi Equation by Taylor Series

Comparison Between Two Error Estimation Procedures

A Case History in Interactive Problem-Solving

An Initial-Value Technique for the Solution of Eigenvalue Problems Associated with Two-Point Boundaries

The Numerical Evaluation of Hopf Bifurcation Formulae

Singularly Perturbed Nonlinear Robin Problems

A Mathematical Model of a Gas-Water Reservoir

Fluctuations in Systems with Multiple Steady States: Application to Lanchester Equations

Ballistics Function Modeling in Real Time Digital Computers

Solutions of Free Surface Problems Using a Rayleigh-Ritz Procedure

Lie Theory and Differential Equations

Finite Mathematics

The Use of Symmetry Groups in the Representation and Interpretation of Alternative Theories of Fair Distribution

Extrapolating to the Limit of a Vector Sequence

On the Geometry of Stable Polynomials of One and Two Variables

Changes in Relative Matrix Eigenvalues

Optimum Paths in Lattice Graphs

Gauss-Seidel and Successive Over-Relaxation in Parallel Processing Mode

On the System Theoretical Description of the Video Signal Generation and the Transmission of Moving Pictures

A Matrix Method for the Construction of Multidimensional Gaussian Quadrature Formulas

PRE-Conditioning, ILL-Conditioning in a Matrix Process

Spline Filters

Cracking a Multiplicative Congruential Encryption Algorithm

Natural Cubic Splines Are Unnatural

Solving Linear Systems of Equations

Optimization

Optimally Directed Antennas

Feedbck Control of Linear Diffusion Processes

Parameter Identification for Linear Hereditary Systems via an Approximation Technique

Relaxational Methods for Large-Scale Entropy Optimization Problems, with Application in Image Reconstruction

C3 Modeling

The Use of the Distance-Neighbor Function to Select Service Centers

Two Algorithms for Shortest Paths through Multiple Criteria Networks

Practical Techniques of Optimal Smoothing, with Application to the Numerical Differentiation of Noisy Data and Smoothing of Log Spectral Density Estimates

Stochastic Modeling

Stochastic Operators and Dynamical Systems

Stochastic Matrices: Some Results and Applications

The Product Form Queueing Network Model in Computer System Analysis

Probabilistic Dynamic Programming for Fault Isolation

Stochastic Green's Functions and Scattering Functions

Applied Mathematics and Engineering in the Transport of Antarctic Ice Resources

Doubly Stochastic Matrices and Sequential Data Association, Part I

Further Applications of the Dynamic Data System (DDS) Approach

- No. of pages: 676
- Language: English
- Edition: 1
- Published: November 12, 2012
- Imprint: Academic Press
- Paperback ISBN: 9780124122543
- eBook ISBN: 9780323141673

PW

Peter Wang is a research staff scientist in the Manufacturing Systems Design Group at Oak Ridge National Laboratory (ORNL). Prior to working at ORNL, he worked in aerospace and underground construction industries for 12 years. His previous work experience has covered mechanical and civil structural design, heavy machine design, project management and construction site automation. He obtained his PhD in 2018 from the University of California, Irvine with a focus in robot kinematics. His current research interests cover robotics, manufacturing systems development, automation, additive manufacturing, and the circular economy.

Affiliations and expertise

Researcher, Manufacturing Systems Design Group, Oak Ridge National Laboratory (ORNL), Oak Ridge, USARead *Information Linkage between Applied Mathematics and Industry* on ScienceDirect