

last edited 3 months ago by test1 
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Editor: hemmecke
Time: 2014/03/03 09:03:02 GMT+0 

Note: 
added:
 Extending the FriCAS library is done in the programming language SPAD.
Find introductory material on the page ProgrammingSPAD.
Most introductory material about Axiom applies to FriCAS?. The [Axiom Volume 1]?: Tutorial is available in printed format at http://publishbook.com and http://www.lulu.com/product/filedownload/axiomvolume1tutorial/243127
On this web site you can enter FriCAS? commands and see the output in proper mathematical form. These commands can also be typed directly into FriCAS? installed on your own computer.
You must enclose each set of FriCAS? commands in a \begin{axiom} \end{axiom}
section. For example:
\begin{axiom} [1/2, 3/4, 2/3] \end{axiom}
When you save the changes you make to a page, FriCAS? processes the contents of each section you have marked and the FriCAS? output is displayed.
Try this command:
[1/7,3/4, 5/6]
(1) 
Please feel free to play with this in the SandBox?!
Let's see if we can perform a finite window Fourier inversion.
simplify(integrate(exp(%i*_\omega*t) * exp(%i*_\omega * _\tau),_\omega=_\Omega .. _\Omega))
(2) 
Try this integrating this
2*x/sin(x)^2
(3) 
integrate(%,x)
(4) 
Now differentiate it
D(%,x)
(5) 
simplify(%)
(6) 
Expressions (3) and (6) are really that same.
simplify(%%(3)  %%(6))
(7) 
D(x^x,x)
(8) 
See, that was easy!
Here are some more things to try.
integrate(log(sin(x)),x=0..%pi)
(9) 
limit(sum(1/i^2,i=1..n), n=%plusInfinity)
>> Error detected within library code: a sum cannot be differentiated with respect to a bound
Can you explain these results?
For more details see: FriCASProgramming? .
To include Spad programs on web pages in this website click edit
(or when adding comments or in bug reports) use:
\begin{spad} )abbrev ... ... \end{spad}
To include Aldor programs on pages in this website use:
\begin{aldor} ... \end{aldor}
or:
\begin{aldor}[name] ... \end{aldor}
You can add LaTeX? formatted equations to pages on this web site by:
$$ ... $$
and inline symbols such as are written like this: $\alpha +\beta$
To include arbitrary LaTeX? on pages in this website use:
\begin{latex} ... \end{latex}
To include Lisp programs on pages in this website use:
\begin{lisp} ... \end{lisp}
To include Boot programs on pages in this website use:
\begin{boot} ... \end{boot}