Titlebook: Mathematics for the Physical Sciences; James B. Seaborn Textbook 2002 Springer Science+Business Media New York 2002 Algebra.Schr?dinger eq

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James B. Seabornupervised methods ClassNeRV and ClassJSE. Moreover, MING, a new approach for local map quality evaluation is also introduced. These methods are then applied to the representation of expert-designed fault indicators for smart-buildings, I-V curves for photovoltaic systems and acoustic signals for Li-

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978-1-4419-2959-4Springer Science+Business Media New York 2002

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Vector Calculus,l functions of space and time, hence, functions of several variables. For example, for the force . on a particle we may write . which shows that the force depends explicitly on the three position coordinates (.) and the time coordinate .. The force on the particle depends on where the particle is located in space and on when it is at that point.

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Differential Equations,ntains terms involving derivatives of . with respect to . (i.e., .′(.) = ./., .″ (.) = . ./., etc.). For example, a linear, second-order differential equation has the general form . where ., and . are specific functions of .. The problem consists in solving this equation for . as an explicit function of ..

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Eigenvalue Problems,g a parameter (here l), we seek solutions that satisfy some special requirement (e.g., the series must converge for . = ±1). To obtain such solutions, we must choose particular values. for the parameter. In this case, . That is, polynomial solutions (which are required for convergence at. = ±1) arise only for certain values of λ and . values.