2021年3月25日 星期四

maxima command

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

radexpand
 
evaluate
 
Option variable: radexpand

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 radexpand is all or assume (x > 0) has been executed, sqrt(x^2) simplifies to x.
  • If radexpand is true and domain is real (its default), sqrt(x^2) simplifies to abs(x).
  • If radexpand is false, or radexpand is true and domain is complex, 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()

 



於