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Mathematics in Industrial Problems Part 7

This is the seventh volume in the series "Mathematics in Industrial Prob­ lems. " The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots level;" that is, at the level of specific problems. These problems come from Industry:...

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Bibliographic Details
Main Author: Friedman, Avner
Format: eBook
Language:English
Published: New York, NY Springer New York 1995, 1995
Edition:1st ed. 1995
Series:The IMA Volumes in Mathematics and its Applications
Subjects:
Engineering
Computational Intelligence
Applications Of Mathematics
Mathematics
Technology And Engineering
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 11 Pulse optimization for multi-user data communications
  • 11.1 Multiple access
  • 11.2 The single user case
  • 11.3 The multiple user case
  • 11.4 Coupled base stations
  • 11.5 Open problems
  • 11.6 References
  • 12 Propagation of highly scattered radiation in tissue
  • 12.1 Maxwell’s equations
  • 12.2 Radiation transport theory
  • 12.3 Diffusion approximation
  • 12.4 Imaging
  • 12.5 References
  • 13 Doping profiling by inverse device methods
  • 13.1 Semiconductor devices
  • 13.2 Measuring doping profile by direct measurements
  • 13.3 PN junction
  • 13.4 The inverse problem
  • 13.5 References
  • 14 Mathematical modeling in diffractive optics
  • 14.1 The direct problem
  • 14.2 Solution of the direct problem
  • 14.3 Optimal design problem
  • 14.4 Inverse problem
  • 14.5 Diffractive optics in nonlinear media
  • 14.6 Truncated periodic structure
  • 14.7 References
  • 15 Coping with complex boundaries
  • 15.1 Capacity and translational friction
  • 6 Head-media interaction in magnetic recording
  • 6.1 Head-tape interaction
  • 6.2 The mathematical model
  • 6.3 Test case
  • 6.4 Open problems
  • 6.5 References
  • 7 Geometric path planning in rapid prototyping
  • 7.1 Layered manufacturing
  • 7.2 Offset curve representation
  • 7.3 Pythagorean—hodograph (PH) curves
  • 7.4 Bézier representation
  • 7.5 References
  • 8 Feature detection and tracking in three dimensional image analysis
  • 8.1 Applications
  • 8.2 Edge detection
  • 8.3 Topographic classification
  • 8.4 Image registration
  • 8.5 Future research issues
  • 8.6 References
  • 9 Robot localization using landmarks
  • 9.1 The position estimation problem
  • 9.2 Linear position estimation
  • 9.3 Open problems
  • 9.4 References
  • 10 Coordinates for mechanisms configuration spaces
  • 10.1 Kinematics of closed-loop mechanisms
  • 10.2 Mechanism coordinates; an example
  • 10.3 Mechanismcomplexity
  • 10.4 Mathematical modeling
  • 10.5 Open problems
  • 10.6 References
  • 20.3 Numerical results and open problems
  • 20.4 References
  • 21 Solutions to problems from previous parts
  • 21.1 Part 6
  • 21.2 Part 5
  • 21.3 Part 3
  • 21.4 Part 1
  • 21.5 References
  • 1 Mass flow sensing with heat waves
  • 1.1 Air flow sensor
  • 1.2 Steady-state heat transfer
  • 1.3 Heat waves
  • 1.4 Automotive air flow sensor model
  • 1.5 Mathematical results
  • 1.6 References
  • 2 Mass transport in colloidal dispersions
  • 2.1 Physical motivation
  • 2.2 Modeling equilibrium
  • 2.3 Kinetics: single component
  • 2.4 Kinetics: multiple components
  • 2.5 References
  • 3 Crack propagation modeling
  • 3.1 Crack propagation in a conductor
  • 3.2 The hypersingular integrals
  • 3.3 Open problems
  • 3.4 References
  • 4 Modeling of electrostatic bell sprayers
  • 4.1 The coating process
  • 4.2 Mathematical modeling
  • 4.3 Numerical results
  • 4.4 Future directions
  • 4.5 References
  • 5 Neural networks as controllers
  • 5.1 Neural networks
  • 5.2 Control of dynamical systems
  • 5.3 Gradient methods for controller training
  • 5.4 An example
  • 5.5 The idle-speed control problem
  • 5.6 Unresolved questions
  • 5.7 References
  • 15.2 Flow through duct having arbitrary cross-section
  • 15.3 Effective properties of inhomogeneous media
  • 15.4 References
  • 16 A short random walk through polymer material behavior
  • 16.1 Strain-stress relations
  • 16.2 Molecular modeling
  • 16.3 Open problems
  • 16.4 References
  • 17 Finite set statistics with applications to data fusion
  • 17.1 Random sets
  • 17.2 Single-sensor, single-target estimation
  • 17.3 Multi-sensor, multi-target estimation
  • 17.4 An example
  • 17.5 References
  • 18 Electromigration modeling for smart power applications
  • 18.1 Universal Power Output Driver (UPOD)
  • 18.2 Previous work
  • 18.3 Electromigration
  • 18.4 References
  • 19 Maxwell’s equations and the analysis of electromagnetic devices
  • 19.1 Electromagnetic actuators
  • 19.2 The Maxwell equations.-19.3 The numerical scheme
  • 19.4 References
  • 20 Engineering modeling of batteries
  • 20.1 Description of the battery cell
  • 20.2 Mathematical modeling

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