Information Linkage between Applied Mathematics and Industry

Information Linkage between Applied Mathematics and Industry

1st Edition - January 1, 1979

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  • Editor: Peter Wang
  • eBook ISBN: 9780323141673

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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.

Table of Contents

  • Contributors


    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


    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

Product details

  • No. of pages: 676
  • Language: English
  • Copyright: © Academic Press 1979
  • Published: January 1, 1979
  • Imprint: Academic Press
  • eBook ISBN: 9780323141673

About the Editor

Peter Wang

Peter Wang is a researcher in the Manufacturing Systems Design Group at Oak Ridge National Laboratory (ORNL). He received his PhD in 2018 from the University of California, Irvine with a focus in robot kinematics. He worked in tunneling construction for 10 years prior to starting work at ORNL. His current research interests cover robotics, manufacturing systems development, automation, additive manufacturing, and the circular economy.

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