A Mathematica Package for Solving and Displaying Inequalities
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.
KeywordsLogarithmic Function Similar Output Graphical Solution Inequality System Mathematica Package
- 5.Kazarinoff, N.D.: Geometric Inequalities. Random House, New York (1961)Google Scholar
- 9.Strzebonski, A.: An algorithm for systems of strong polynomial inequalities. The Mathematica Journal 4(4), 74–77 (1994)Google Scholar
- 10.Strzebonski, A.: Solving algebraic inequalities. The Mathematica Journal 7, 525–541 (2000)Google Scholar