On Some Unsolved Problems of Mathematica


  • E. V. Vorozhtsov Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Russia
Volume: 2 | Issue: 4 | Pages: 259-264 | August 2012 | https://doi.org/10.48084/etasr.205


In this paper, some unsolved problems of the Mathematica software package are documented. At first, it is shown, using a number of examples, that the processing (simplification) of rational-fractional expressions involving powers in the general form, has been implemented in Maple more carefully than in Mathematica. Then, an error in Mathematica is demonstrated, leading to incorrect results at a change of a function’s body. For each example of symbolic or symbolic-numeric computations, alternate routes for solving the emerged problem are proposed (where possible). An added problem, related to Mathematica’s computing speed is documented, employing examples related to two-dimensional gas dynamics problems. It is shown that Mathematica computes rather slowly (about one thousand times slower) compared to a Fortran code.


Mathematica, analytic, numerical, computations, simplification, expressions, Fortran


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E. V. Vorozhtsov, “On Some Unsolved Problems of Mathematica”, Eng. Technol. Appl. Sci. Res., vol. 2, no. 4, pp. 259–264, Aug. 2012.


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