Do some experiments like I propose. Do not forget semicolon at the end of each
command and type the commands in uppercase:
1) Arithmetic:
Look how many digits you can have in your calculations
200!+99^99;
See the result of 381 digits.
Fractions can be reduced
16384/6144;
The computer will tell you that it is 8/3.
SIN (#PI/3);
answer is 3^(1/2)/2
but
SIN (2)+2*SIN(2);
will be displayed as 3*SIN(2), because it is not rational number
2) Simple algebra
Now try
(x+x)/(a*x);
You will get
2/a as a result. Wow! Symbolic manipulations.
SOLVE (x^2-3*x==a*x,x);
It will find two solutions
X==3+a and X==0
It understands complex numbers, try
#I*#I;
answer is -1
MuMath knows the relation which joins three symbols that came from three
different branches of mathematics: calculus, algebra and geometry
#E^(#I*#PI);
3) Matrix symbolic operations
Add twp arrays
[a,2]+[-a,b];
Try to invert the matrix (symbol shift with F,G,U,Z for brackets and braces)
{[a,b-2],[c,d]}^-1;
4) Calculus
Program knows about sums
SIGMA (J^2,J,0,N-2);
or limits
LIM (X^2 / SIN (A*X) , X, 0);
(remark the additional questions in case of ambiguities)
And finally some derivations and integrals
DIF ((X^3-2)/(2*X+1),X);
INT ((X^3-2)/(2*X+1),X);
5) Transcendental functions
Program knows many trigonometry transformations. Try
TRGEXPD (SIN(2*X+Y), -15);
Repeat the previous example by changing second parameter (but keep it negative)
6) Commands
try
OBLIST () ;
to get a full list of commands. The language Musimp is crossover of Algol and
Lisp.
-----------------
Can we make 48 K version? Maybe. There is version for 48 K TRS-80, assembled
from address #5200. Although the part of the program will be in video memory
this means that it can fit into RAM memory.