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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: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob­ lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subse­ quent discussions. Each chapter is devoted to one of the talks and is self­ contained. The chapters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in previous volumes, as well as references to papers in which such solutions have been published. The speakers in the Seminar on Industrial Problems have given us at the IMA hours of delight and discovery. My thanks to David K. Lambert (Gen­ eral Motors Research and Development), David S.




This is the seventh volume in Avner Friedman's collection of Mathematics in Industrial Problems. These books aim to foster interaction between industry and mathematics at the "grass root" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Eastman Kodak Company, Ford Motor Company, 3M, General Motors, Honeywell, IBM/T.J. Watson Research Center, Siemens Corporate Research, Bellcore and Motorola.


This is the seventh volume in Avner Friedman's collection of Mathematics in Industrial Problems. These books aim to foster interaction between industry and mathematics at the "grass root" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Eastman Kodak Company, Ford Motor Company, 3M, General Motors, Honeywell, IBM/T.J. Watson Research Center, Siemens Corporate Research, Bellcore and Motorola.
Content:
Front Matter....Pages i-xvi
Mass flow sensing with heat waves....Pages 1-11
Mass transport in colloidal dispersions....Pages 12-22
Crack propagation modeling....Pages 23-32
Modeling of electrostatic bell sprayers....Pages 33-40
Neural networks as controllers....Pages 41-52
Head-media interaction in magnetic recording....Pages 53-61
Geometric path planning in rapid prototyping....Pages 62-74
Feature detection and tracking in three dimensional image analysis....Pages 75-85
Robot localization using landmarks....Pages 86-94
Coordinates for mechanisms configuration spaces....Pages 95-107
Pulse optimization for multi-user data communications....Pages 108-119
Propagation of highly scattered radiation in tissue....Pages 120-129
Doping profiling by inverse device methods....Pages 130-146
Mathematical modeling in diffractive optics....Pages 147-165
Coping with complex boundaries....Pages 166-185
A short random walk through polymer material behavior....Pages 186-197
Finite set statistics with applications to data fusion....Pages 198-206
Electromigration modeling for smart power applications....Pages 207-217
Maxwell’s equations and the analysis of electromagnetic devices....Pages 218-228
Engineering modeling of batteries....Pages 229-240
Back Matter....Pages 245-246
Solutions to problems from previous parts....Pages 241-244


This is the seventh volume in Avner Friedman's collection of Mathematics in Industrial Problems. These books aim to foster interaction between industry and mathematics at the "grass root" level of specific problems. The problems presented in this book arise from models developed by industrial scientists engaged in research and development of new or improved products. The author's sources are affiliated with a variety of industrial enterprises including Eastman Kodak Company, Ford Motor Company, 3M, General Motors, Honeywell, IBM/T.J. Watson Research Center, Siemens Corporate Research, Bellcore and Motorola.
Content:
Front Matter....Pages i-xvi
Mass flow sensing with heat waves....Pages 1-11
Mass transport in colloidal dispersions....Pages 12-22
Crack propagation modeling....Pages 23-32
Modeling of electrostatic bell sprayers....Pages 33-40
Neural networks as controllers....Pages 41-52
Head-media interaction in magnetic recording....Pages 53-61
Geometric path planning in rapid prototyping....Pages 62-74
Feature detection and tracking in three dimensional image analysis....Pages 75-85
Robot localization using landmarks....Pages 86-94
Coordinates for mechanisms configuration spaces....Pages 95-107
Pulse optimization for multi-user data communications....Pages 108-119
Propagation of highly scattered radiation in tissue....Pages 120-129
Doping profiling by inverse device methods....Pages 130-146
Mathematical modeling in diffractive optics....Pages 147-165
Coping with complex boundaries....Pages 166-185
A short random walk through polymer material behavior....Pages 186-197
Finite set statistics with applications to data fusion....Pages 198-206
Electromigration modeling for smart power applications....Pages 207-217
Maxwell’s equations and the analysis of electromagnetic devices....Pages 218-228
Engineering modeling of batteries....Pages 229-240
Back Matter....Pages 245-246
Solutions to problems from previous parts....Pages 241-244
....
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