| |
Maxima |
Maple |
Mathematica |
| limit |
limit(x-7,x,3); |
limit(x-7,x=3); |
Limit[x-7,x->3] |
| expand |
expand((a+b)^3); |
expand((a+b)^3); |
Expand[(a+b)^3] |
| factor |
factor(%); ezgcd(num, denom); |
factor(%); normal(%); |
Factor[%] |
| solve |
solve(a*x^2=4,x); |
solve(a*x^2=4,x); |
Solve[a x^2==4,x] |
| 3D plots |
plot3d(sin(x*y),[x,-2,2],[y,-1,1]); |
plot3d(sin(x*y),x=-2..2,y=-1..1); |
Plot3D[Sin[x y],{x,-2,2},{y,-1,1}] |
| display |
set_plot_option([plot_format,gnuplot]); |
plotsetup(x11); |
Display["math.eps", %, "EPS"] |
| environment |
plot_options; |
plotsetup(); |
|
| integral |
integrate(x^2*sin(alpha*x),x,0,beta); |
int(x^2*sin(alpha*x),x=0..beta); |
Integrate[x^2 Sin[alpha x],{x,0,beta}] |
| integer factor |
|
ifactor(%); |
FactorInteger(%) |
| square root |
sqrt(3); |
sqrt(3); |
Sqrt[3] |
| numerical |
ev(%,numer); |
evalf(%); |
N[%,10] |
| substitution |
ev(%,x=1,y=2); or at(%,[x=1,y=2]); |
eval(%,[x=1,y=2]); |
ReplaceAll[%,{x->1,y->2}] |
| sum |
sum((1+i)/(1+i^4),i,1,10); |
sum((1+i)/(1+i^4),i=1..10); |
Sum[(1+i)/(1+i^4),{i,1,10}] |
| delayed |
'sum((1+i)/(1+i^4),i,1,10); |
Sum((1+i)/(1+i^4),i=1..10); |
use := |
| product |
product((i^2+3*i-11)/(i+3),i,0,10); |
product((i^2+3*i-11)/(i+3),i=0..10); |
Product[(i^2+3*i-11)/(i+3),{i,0,10}] |
| delayed |
'product((i^2+3*i-11)/(i+3),i,0,10); |
Product((i^2+3*i-11)/(i+3),i=0..10); |
use := |
| infinity |
INF |
infinity |
Infinity |
| complex |
%I |
I |
I |
| |
rectform(%); |
convert(%,rect); |
|
| |
polarform(%); |
convert(%,polar); |
|
| |
realpart(%); |
Re(%); |
Re[%] |
| |
imagpart(%); |
Im(%); |
Im[%] |
| |
abs(%); |
abs(%); |
Abs[%] |
| |
carg(%); |
argument(%); |
Arg[%] |
| trigonometry |
trigsimp(%); trigrat(%); |
simplify(%); |
Simplify[%], TrigSimp[%], TrigReduce[%] |
| |
trigexpand(%); |
|
TrigExpand[%] |
| other |
trigrat(%); |
|
TrigFactor[%] |
| functions |
f(x):=x^2+1/2; or define(f(x),x^2+1/2); |
f:=x->x^2+1/2; or f:=unapply(x^2+1/2,x); |
f[x_]=x^2+1/2 or f=Function[x,x^2+1/2] |
| derivatives |
diff(f(x),x,2); |
diff(f(x),x&2); |
D[f[x],{x,2}] |
| delayed |
'diff(f(x),x,2); |
Diff(f(x),x&2); |
use := |
| arrays |
array([x, y], 300); |
x := array(1..300); |
Array[x, 300] |
| split expression |
pickapart(%, 4); |
addressof(%); |
FullForm[%]; |
| |
|
disassemble(%); |
[[3]] |
| |
|
pointto(a[2]); |
ReplacePart[Out[32], Expand[Out[54]], 1] |
| |
|
rhs(solutions[2]); |
|
| terminator |
; or 33/code> |
; |
newline or ; |
| range |
[x,-2,2] |
x=-2..2 |
{x,-2,2} |
| times |
* |
* |
space or * |
| last result |
% |
% |
% |
| assignment |
: |
:= |
= |
| equality |
= |
= |
== |
|