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Mathematical XL Categories

Probability and Statistics

This suite consists of four packages: Statistics, Discrete Probability, Standard Probability Distributions and Hypothesis Testing which offer the following functionality.  (more...)

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Interpolation

Offers computationally convenient and effective schemes of interpolation and extrapolation. These methods are ideal for any system that needs to work with functions which are stored in tabular form. We include the methods of Newton polynomials, Lagrange's formula, Burlisch-Stoer algorithm, Cubic splines (natural and free) and Bicubic interpolation. We also consider algorithms for finding the coefficients of an interpolation function and interpolation in higher dimensions.

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Hypothesis Testing

We present two aspects of inferential statistics known as confidence intervals and hypothesis testing. Confidence intervals determine the level of confidence in pointwise statistics (e.g. mean, variance) of the sample in relation to the statistics for the entire population. With hypothesis testing the user can judge which of several hypotheses sampled evidence best supports.

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Optimization

Solve complex one and multi dimensional optimization problems efficiently with our powerful optimization component. This component offers advanced algorithms covering local and global unidimensional optimization, local multidimensional optimization with or without constraints. A general framework for performing sensitivity analysis in included along with specialized algorithms for solving and performing analysis of linear programming problems is included.

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