Example 1:  Symbolic Computation

In computation, we usually think in terms of numerical computation where the result is a numerical constant. However, there are systems that provide symbolic computation.

(a) First illustration:

- Numerical computation:

[Graphics:Images/index_gr_1.gif]
[Graphics:Images/index_gr_2.gif]

- Symbolic computation:

[Graphics:Images/index_gr_3.gif]
[Graphics:Images/index_gr_4.gif]


(b) Second illustration:

[Graphics:Images/index_gr_5.gif]
[Graphics:Images/index_gr_6.gif]


(c) Third illustration using Mathematica's Together function:

[Graphics:Images/index_gr_7.gif]
[Graphics:Images/index_gr_8.gif]
[Graphics:Images/index_gr_9.gif]
[Graphics:Images/index_gr_10.gif]


(d) Fourth illustration - Mathematica's Solve function - e1 is numerical, e2 is symbolic

[Graphics:Images/index_gr_11.gif]
[Graphics:Images/index_gr_12.gif]
[Graphics:Images/index_gr_13.gif]
[Graphics:Images/index_gr_14.gif]


Converted by Mathematica      December 3, 2002