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This software is for educational purposes. Mulptile Integration is an easy to use, intuitive application to numerically perform definite multiple integration. You can predefine constants and specify the error bound for the results. Handles a wide variety of functions, including trigonometric and hyperbolic functions. Results can be saved or printed. Includes a help file with instructions, example and methodology. Numerical Solutions Library : The Ordinary Differential Equations Collection solves linear or nonlinear differential equations and systems of such, subject to boundary conditions or initial conditions which may also be linear or nonlinear and may involve not only the unknown function but also its derivatives. The solution will be a finite power or trigonometric series, depending on the program. The Regression Collection fits user-chosen functionals to a given set of data points in one or more independent variables, performing linear or nonlinear regressions. The Approximation and Interpolation Collection approximates multivariable continuous or tabulated functions by finite power, trigonometric or mixed series. Continuous functions may be defined explicitly or by a linear/nonlinear equation. Depending on the program and the user setups, the function may be fitted exactly at user-specified grid points, or it may be fitted using Least Squares methods/Fast Fourier Transform methods. The Linear Algebra Collection performs computations associated with real matrices, including solution of linear systems of equations (even least squares solution of over-determined or inconsistent systems and solution by LU factors), matrix operations (add, subtract, multiply), finding the determinant, inverse, adjoint, QR or LU factors, eigenvalues and eigenvectors, establish the definiteness of a symmetric matrix, perform scalar multiplication, transposition, shift, create matrices of zeroes or ones, identity, symmetric or general matrices. The Support Collection provides ways to study the solutions found by programs of other collections. For instance, the Power and Trigonometric Series program may be used to study the solutions found by the programs of the Differential Equations collection to find integrals, roots, maxima & minima, derivatives. Even the multivariable series produced by the Approximation and Interpolation collection can be studied by support programs to compute multiple integrals, maxima & minima, partial derivatives. The Math Miscellaneous Collection is an useful and interesting addition to the library: Prime factors, base conversion, complex numbers, sorting, formulas for triangles and circles. The Stereographer Collection produces stereoscopic graphs, which most people are able to view without any paraphernalia. True depth perception is due to binocular vision, and the usual single view of a surface, space curve or scatter diagram is unable to provide it, but the STEREOGRAPHER does provide this interesting 3-D sensation. You can rotate and translate surfaces, graph partial derivatives, zoom in or out, etc. Aside from functions you enter directly, you can also stereograph the results of other collections such as mixed series, regression surfaces and scatter diagrams. The techniques used to achieve a solution have, in general, been selected in part because of their applicability in a wide variety of situations. For instance, the Nonlinear Differential Equations programs use the method of Undetermined Coefficients in conjunction with the generalized Newton method to find a finite power or trigonometric series approximation to the unknown function. This permits them to solve true Boundary Value Problems involving General Nonlinear Differential Equations with General Nonlinear Boundary Conditions. Main features: Functions and Equations Collection: Maxima and Minima (of functions of several variables), Functions (Studies functions of one variable to find roots, maxima and minima, integral, derivatives, graph), Systems of Nonlinear Equations (solves systems of nonlinear equations), Partial Derivatives. Decimal comma: In order to avoid erroneous results and/or error messages ("Expected end of statement") please make sure your system settings use the decimal point as Decimal Symbol. In addition, any numbers supplied to the program must use the decimal point.

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