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... Modulation Spaces, Appropriate Spaces to Have in Background? ... Modulation spaces were introduced in 1983 as a certain type of Wiener-Amalgam spaces. One found that they are in particularily convenient to have in background when dealing with time-frequency analysis, especially signals in general. ... In 1994 one found that they are sometimes appropriate spaces when dealing with certain non-regularity problems in pseudo-differential calculus. ... We discus general phenomena for modulation spaces. ...

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Support Vector Machines in Analysis of Top Quark Production Anthony Vaiciulis University of Rochester Advanced Computing and Analysis Techniques June 24, 2002, Moscow  introduction  SVM method
separable linear problem (hyperplane classi ers)
separable nonlinear problem (feature space and kernels)
nonseparable nonlinear problem  top quark study Introduction Common HEP ... no correct underlying classi cation function? ! ... no linear separation in fea- ture space. ...

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... Basic statement: "Mathematics is much clever, than Mathematician" It means, that after the scientist or engineer developed new mathematical model and designed corresponding equations, the solution to these equations produces new information unpredictable for the author! ... This vibration excites the shear wave in tissue 2 sx 2 - (ct + ) s x = Fx 2 t t Studies in Fluid Dynamics of water jet are connected with two main problems: 1. Flows in contracting nozzle forming high-speed jet. ...

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