WebCab Mathematical J2EE Components

   Correlation and Regression v4.5 J2EE Edition

Allows the user to investigate relationships between two or more variables and then use these findings to predict one variable from the given values of other variables. We cover linear (Spearman's, t-test, z-transform) and rank (Spearman's, Kendall's) correlation, linear regression and conditional means.

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   Ordinary Differential Equations v4.1 J2EE Edition

Implements methods for finding solutions to systems of ordinary differential equations (ODE's) using Runge Kutta, modified mid-point, Bulirsh-Stoer, Rosenbrock, semi-implicit extrapolation methods and the second-order conservative equations.

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   Equation Solver v3.1 J2EE Edition

Implements refined numerical procedures for solving equations in one space variable. We include Van Wijngaarden-Dekker-Brent algorithm, interval bisection method, secant and false position, Newton-Raphson method and Ridders' method. For each procedure the developer may specify the number of iterations used or the accuracy required.

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   Differentiation and Integration v4.1 J2EE Edition

Provides precise numerical techniques by which the integral and derivative of a function at a point can be evaluated. Ridders' algorithm, Newton polynomial and Chebyshev polynomial methods are used in the approximation of a functions derivative. Newton-Cotes rule, Extended Trapezoidal rule, Extended Simpson's formula, Quadratic Gauss formula, Gaussian Quadrature (using the orthogonal functions of the Gauss-Legendre, Gauss-Laguerre, Gauss-Hermite and Gauss-Jacobi type), Romberg integration and Chebyshev-approximation procedures are implemented for the evaluation of the definite integral.

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   Probability and Statistics v3.2 J2EE Edition

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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   Hypothesis Testing v2.0 J2EE Edition

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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   Interpolation v2.0 J2EE Edition

We offer 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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   Optimization v2.5 J2EE Edition

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. We also include a method for solving linear programming problems known as the simplex method.

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©1999-2003 WebCab Components

Correlation and Regression v4.5 J2EE Edition
	Allows the user to investigate relationships between two or more variables and then use these findings to predict one variable from the given values of other variables. We cover linear (Spearman's, t-test, z-transform) and rank (Spearman's, Kendall's) correlation, linear regression and conditional means.
	<details> <buy>

Ordinary Differential Equations v4.1 J2EE Edition
	Implements methods for finding solutions to systems of ordinary differential equations (ODE's) using Runge Kutta, modified mid-point, Bulirsh-Stoer, Rosenbrock, semi-implicit extrapolation methods and the second-order conservative equations.
	<details> <buy>

Equation Solver v3.1 J2EE Edition
	Implements refined numerical procedures for solving equations in one space variable. We include Van Wijngaarden-Dekker-Brent algorithm, interval bisection method, secant and false position, Newton-Raphson method and Ridders' method. For each procedure the developer may specify the number of iterations used or the accuracy required.
	<details> <buy>

Differentiation and Integration v4.1 J2EE Edition
	Provides precise numerical techniques by which the integral and derivative of a function at a point can be evaluated. Ridders' algorithm, Newton polynomial and Chebyshev polynomial methods are used in the approximation of a functions derivative. Newton-Cotes rule, Extended Trapezoidal rule, Extended Simpson's formula, Quadratic Gauss formula, Gaussian Quadrature (using the orthogonal functions of the Gauss-Legendre, Gauss-Laguerre, Gauss-Hermite and Gauss-Jacobi type), Romberg integration and Chebyshev-approximation procedures are implemented for the evaluation of the definite integral.
	<details> <buy>

Probability and Statistics v3.2 J2EE Edition
	This suite consists of four packages: Statistics, Discrete Probability, Standard Probability Distributions and Hypothesis Testing which offer the following functionality. (More...)
	<details> <buy>

Hypothesis Testing v2.0 J2EE Edition
	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.
	<details> <buy>

Interpolation v2.0 J2EE Edition
	We offer 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.
	<details> <buy>

Optimization v2.5 J2EE Edition
	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. We also include a method for solving linear programming problems known as the simplex method.
	<details> <buy>