Computer software, mathematical Mathematica

Finally, because the world is not an ideal gas, equations of state or activity coefficients frequently must be used to describe a real system of interest. This results in considerable mathematical complexity. Consequently, many problems are best solved using the computer software I have provided that is discussed in the previous appendix, or with MATHCAD, MATLAB, MATHEMATICA, POLYMATH, or equation-solving software and programs you develop on your own. 

Modern mathematical software, such as Mathematica, allows us to compute symbolically the mean square deviation of this approximation from the exact acceleration, integrated over the feasible region, differentiate the resulting expression symbolically with respect to the parameters a and b, set the results to zero and solve the equations symbolically, and simplify the whole lot to find the following remarkably simple expressions... 

By applying symbolic computation of Mathematica software, a mathematical mechanization of ADM based on the principle of parameterization, was carried out to reduce the solution for approximate expressions of model equations (A.l) and (A.2). The code of parameterized ADM is listed below. 

Those interested in doing mathematics on a computer have an increasingly wide selection of software packages to choose from as noted above. At Saint John s University, Mathematica and Mathcad 3.0 have been used in the... 

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