algebra
ratsimp() 化簡
expand() 展開
factor() 因式分解kill(x) kill the x variable
kill(all) kill all variables
x:123 assign x=123
f(x):=x^2＋2*x+1 define function of x =x^2+2x+1
sum(i,i,1,10) sum i , i from 1 to 10
%i image number
%pi
%e
%phi the golden mean (1+sqrt(5))/2
%gamma the Euler-Mascheroni constant
inf real positive inifinity
minf real negative inifinity
abs() absolute
sqrt() square root
float() float number
compare() compare numbers
is()
load("filename")
solve([equation],[variable])
round()
floor()
print()
%i1) powerdisp;
(%o1) false
(%i2) x^2+2*x+1;
2
(%o2) x + 2 x + 1
(%i3) powerdisp: true;
(%o3) true
(%i4) x^2+2*x+1;
2
(%o4) 1 + 2 x + x
(%o1) false
(%i2) x^2+2*x+1;
2
(%o2) x + 2 x + 1
(%i3) powerdisp: true;
(%o3) true
(%i4) x^2+2*x+1;
2
(%o4) 1 + 2 x + x
radexpand
evaluate
Default value: true
radexpand controls some simplifications of radicals.
When radexpand is all, causes nth roots of factors of a product
which are powers of n to be pulled outside of the radical. E.g. if
radexpand is all, sqrt (16*x^2) simplifies to 4*x.
More particularly, consider sqrt (x^2).
- If
radexpandisallorassume (x > 0)has been executed,sqrt(x^2)simplifies tox. - If
radexpandistrueanddomainisreal(its default),sqrt(x^2)simplifies toabs(x). - If
radexpandisfalse, orradexpandistrueanddomainiscomplex,sqrt(x^2)is not simplified.
Note that domain only matters when radexpand is true
reference
https://maxima.sourceforge.io/docs/manual/maxima_46.html.
evaluate
8.1 Functions and Variables for Evaluation
4.2 Functions and Variables for Command Line
3. Entering commands
ctl-j
ctl-u
alt-p to search backwards
alt-n to search forward
cabs absolute of complex number
conjugate
carg angle of complex number
realpart
imagpart
polarform
rectform
For further ways to compute with complex numbers, see the functions
rectform, realpart, imagpart,
carg, conjugate and polarform.
Matrix
matrix()
determinant()
invert()
transpose()
length()
Plot
plot2d([equation],[x,lower, upper])
plot3d([equation],[x,lower,upper],[y,lower,upper])
vector
https://maxima.sourceforge.io/docs/manual/maxima_116.html#Vectors
a.b a dot b
axb a cross b
load("vect" );
express(a~b);
https://maxima.sourceforge.io/docs/manual/maxima_131.html#Sums-Products-and-Series
permutation/ combination
load(functs)
permutation (n, r)
combination (n, r)
sequence/ series
arithmetic (a, d, n)
geometric (a, r, n)
harmonic (a, b, c, n)
geosum (a, r, n)
Set
https://maxima.surceforge.io/docs/manualo/maxima_156.html#Sets
Differential/Integrate
diff()
integrate()
limit()
