Mathematica: A System of Computer Programs

Santanu K. Maiti

Abstract


Mathematica is a powerful application package for doing mathematics and is used almost in all branches of science.
It has widespread applications ranging from quantum computation, statistical analysis, number theory, zoology, astronomy, and
many more. Mathematica gives a rich set of programming extensions to its end-user language, and it permits us to write programs
in procedural, functional, or logic (rule-based) style, or a mixture of all three. For tasks requiring interfaces to the external
environment, mathematica provides mathlink, which allows us to communicate mathematica programs with external programs
written in C, C++, F77, F90, F95, Java, or other languages. It has also extensive capabilities for editing graphics, equations, text,
etc. Starting from the basic level of mathematica here we illustrate how to use a mathematica notebook and write a program in the
notebook. Following with this, we also describe very briefly about the importance of the local and global variables those are used
in writing programs in mathematica. Next, we investigate elaborately the way of linking of external programs with mathematica,
so-called the mathlink operation. Using this technique we can run very tedious jobs quite efficiently, and the operations become
extremely fast. Sometimes it is quite desirable to run jobs in background of a computer which can take considerable amount of
time to finish, and this allows us to do work on other tasks, while keeping the jobs running. The way of running jobs, written in a
mathematica notebook, in background is quite different from the conventional methods i.e., the techniques for the programs written
in other languages like C, C++, F77, F90, F95, etc. To illustrate it, in the present article we study how to create a mathematica
batch-file from a mathematica notebook and run it in the background. Finally, we explore the most significant issue of this article.
Here we describe the basic ideas for parallelizing a mathematica program by sharing its independent parts into all other remote
computers available in the network. Doing the parallelization, we can perform large computational operations within a very short
period of time, and therefore, the efficiency of the numerical works can be achieved. Parallel computation supports any version of
mathematica and it also works significantly well even if different versions of mathematica are installed in different computers. All
the operations studied in this article run under any supported operating system like Unix, Windows, Macintosh, etc. For the sake of
our illustrations, here we concentrate all the discussions only for the Unix based operating system.


Full Text:

PDF

Refbacks

  • There are currently no refbacks.


© 2017 International Journal of Global Research in Computer Science (JGRCS)
Copyright Agreement & Authorship Responsibility