Author | Friedman, Avner. author |
---|---|
Title | Mathematics in Industrial Problems [electronic resource] : Part 2 / by Avner Friedman |
Imprint | New York, NY : Springer New York, 1989 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-7402-6 |
Descript | XII, 183 p. 10 illus. online resource |
1 Signal design problems in multi-channel data communication -- 1.1 General problems -- 1.2 A lower bound on MCT(d) -- 1.3 Pulse amplitude modulation (PAM) -- 1.4 References -- 2 Solitons in non-homogeneous medium -- 2.1 Optical fiber sensor; linear theory -- 2.2 Fiber optic sensor; nonlinear theory -- 2.3 Known recent results -- 2.4 Back to the open questions -- 2.5 References -- 3 Foam rheology -- 3.1 Equilibrium Structure -- 3.2 Future directions -- 3.3 References -- 4 Applications of large deviations to communications -- 4.1 Examples -- 4.2 Theory of large deviations -- 4.3 Applications -- 4.4 Open problems -- 4.5 References -- 5 Phase modulation in nonlinear optical medium -- 5.1 The model and the problem -- 5.2 Two numerical approaches -- 5.3 The full problem -- 5.4 References -- 6 Multiple solutions in semiconductor device modeling -- 6.1 The basic equations -- 6.2 Ohmโs law -- 6.3 A p โ n diode -- 6.4 The p โ n โ p and n โ p โ n transistors -- 6.5 Flip-flop and p โ n โ p โ n junction -- 6.6 Open problems -- 6.7 References -- 7 Mathematical models for thermal imaging-an heuristic approach -- 7.1 The problem -- 7.2 Linear diffusion approach -- 7.3 An alternative approach -- 7.4 References -- 8 Graph spectra, connectivity, and spin glass models of associative memory -- 8.1 Evolution of neural network -- 8.2 Spin glasses -- 8.3 Results for neural networks -- 8.4 Open problems -- 8.5 References -- 9 Mathematical problems in electron beam lithography -- 9.1 The lithography steps -- 9.2 Mathematical issues -- 9.3 The proximity equation -- 9.4 Suggestions -- 9.5 References -- 10 A reaction-diffusion model of color negative film development -- 10.1 The development process -- 10.2 Homogenization problems -- 10.3 Edge enhancement -- 10.4 Solution of Problem (1) -- 10.5 Solution of Problem (2) -- 10.6 Partial solution to problem (3) -- 10.7 References -- 11 An inverse problem arising in the evolution of combustion aerosols -- 11.1 The model -- 11.2 Small coagulation -- 11.3 Partial solutions -- 11.4 References -- 12 Adaptive focused beamforming -- 12.1 The basic equations -- 12.2 The methods of AFB -- 12.3 Future directions -- 12.4 References -- 13 Optimal switching between a pair of Brownian motions -- 13.1 Optimal switching within a class of diffusion processes -- 13.2 Switching a pair of Brownian motions -- 13.3 Open problems -- 13.4 Solution of some of the problems -- 13.5 References -- 14 Mathematical models of latent image formation -- 14.1 The Hamilton-Bayer theory [1] -- 14.2 The Monte Carlo Method -- 14.3 An alternate approach -- 14.4 References -- 15 Modeling problems in magneto-optic recording -- 15.1 An outline -- 15.2 Absorption of laser radiation -- 15.3 The heat generation -- 15.4 The magnetic energy effect -- 15.5 References -- 16 Shaped charge jets and subsonic free-surface flow theory -- 16.1 The model -- 16.2 The Chaplygin method -- 16.3 A variational approach -- 16.4 References -- 17 Electrophotographic system models -- 17.1 General description -- 17.2 Mathematical issues -- 17.3 References -- 18 Fluid models and other asymptotic limits with data and teletraffic applications -- 18.1 Asymptotics of closed product-form queueing networks -- 18.2 A fluid approximation -- 18.3 Stochastic fluid models -- 18.4 References -- 19 Solutions to problems from volume 1 -- 19.1 References