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Mathematics in Industrial Problems

Part 2
BuchKartoniert, Paperback
183 Seiten
Englisch
Springererschienen am09.05.2012Softcover reprint of the original 1st ed. 1989
Some of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.mehr
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Produkt

KlappentextSome of the scientists have subsequently presented their problems in the IMA seminar on Industrial Problems. This interaction benefits Industry by increasing the mathematical knowledge and ideas brought to bear upon its concern, and benefits Mathematics through the infusion of exciting new problems.
Details
ISBN/GTIN978-1-4615-7404-0
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2012
Erscheinungsdatum09.05.2012
AuflageSoftcover reprint of the original 1st ed. 1989
ReiheThe IMA Volumes in Mathematics and its Applications
Seiten183 Seiten
SpracheEnglisch
Gewicht314 g
IllustrationenXII, 183 p. 10 illus.
Artikel-Nr.31837298

Inhalt/Kritik

Inhaltsverzeichnis
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 Ohm´s law.- 6.3 A p - n diode.- 6.4 The p - n - p and n - p - n transistors.- 6.5 Flip-flop and p - n - p - 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 Partialsolution 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.mehr