nivur.blogg.se - Harvard mathematica

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$harvard mathematica$

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Laplace transform of discontinuous functions.

Series solutions for the second order equations.

Part IV: Second and Higher Order Differential Equations.

Numerical solution using DSolve and NDSolve.

Equations reducible to the separable equations.

The notebook Demo.nb is also provided as a guide for user of the power method. Numerical examples and Monte Carlo results are provided to demonstrate and validate the use of the software package. Other functions compute cumulative probabilities, modes, trimmed means, intermediate correlations, or perform the graphics associated with fitting power method pdfs to either empirical or theoretical distributions. The primary functions perform the following (a) compute standardized cumulants and polynomial coefficients, (b) ensure that polynomial transformations yield valid pdfs, and (c) graph power method pdfs and cdfs. The package is flexible enough to allow a user the choice to model theoretical pdfs, empirical data, or a user's own selected distribution(s). The software developed is written in the Mathematica 5.2 package PowerMethod.m and is associated with fifth-order polynomials that are used for simulating univariate and multivariate non-normal distributions. This paper provides the requisite information and description of software that perform numerical computations and graphics for the power method polynomial transformation.