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A Mathematica Package for Solving and Displaying Inequalities

R. Ipanaqué
Organization: National University of Piura
Department: Mathematics Department
Andrés Iglesias
Organization: University of Cantabria
Department: Department of Applied Mathematics and Computational Science
Journal / Anthology

Computational Science - ICCS 2004
Year: 2004
Volume: 3039
Page range: 303-310

Solving inequalities is a very important topic in computational algebra. In fact, the most important computer algebra systems include sophisticated tools for solving different kinds of inequalities in both symbolic and graphical ways. This paper presents a new Mathematica package, InequationPlot, for displaying the two-dimensional solution sets of several inequalities. In particular, it extends Mathematica's capabilities by providing graphical solutions to many inequalities (such as those involving trigonometric, exponential and logarithmic functions) that cannot be solved by using the standard Mathematica commands and packages. The package also deals with inequalities involving complex variables by displaying the corresponding solutions on the complex plane. The output obtained is consistent with Mathematica's notation and results and the package provides a similar output for those cases already solved by Mathematica. The performance of the package is discussed by means of several illustrative and interesting examples.

*Mathematics > Calculus and Analysis

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*New Inequality Graphics (in 2D)   [in MathSource: Packages and Programs]