Sponsored links: Algebra eBooks
 

Related

algebraic-ratsimp-sqrt-true

ratsimp((1-sqrt(105))...

Calculate

algebraic-ratsimp-sqrt-true

algebraic : true;

a: 10;

ratsimp(test1=1/(a+sq...

Calculate

algebraic-expand

a: ((2+%i)*(4+%i))/(1...

b:expand(a);

b, algebraic;

Calculate

algebraic-expand-modulus-true

f(z):= 1+4*z^4+12*z^5...

modulus:5;

algebraic:true;

Calculate

algebraic-linsolve-rat-solve-true

e1:30=5*i1+5*%i*(i1-i2);

e2:0=2*i2+3*%i*i2+5*%...

e3:-20=4*i3+6*(i3-i2);

Calculate

algebraic-radcan-sqrt-true

algebraic: true;

radcan((11/40+45/67*...

Calculate

algebraic-linsolve-rat-true

algebraic:true;

rat((15*%i+15+12)/(%i...

e1:30=i1*(5+5*%i)+(-5...

Calculate

algebraic

Run Example
(%i1)f(z):= 1+4*z^4+12*z^5+8*z^6;
                                       4       5      6
(%o1)                   f(z) := 1 + 4 z  + 12 z  + 8 z
(%i2)  modulus:5;
(%o2)                                  5
(%i3)  algebraic:true;
(%o3)                                true
(%i4)  rat(f((1-z))/(1+4*z));
                               6    4    3    2
                            2 z  + z  + z  + z  - z
(%o4)/R/                    -----------------------
                                     z - 1
(%i5) 
Run Example
algebraic:(algebraic);
(%o1)                                false
(%i2) tellsimp(z^2,1-z);
(%o2)                         [^rule1, simpexpt]
(%i3) 1/(1+z);
                                       1
(%o3)                                -----
                                     z + 1
(%i4) 
Run Example
algebraic:true;
(%o1)                                true
(%i2) s:(1-z^-1)/(1+z^-1);
                                         1
                                     1 - -
                                         z
(%o2)                                -----
                                     1
                                     - + 1
                                     z
(%i3) numerator:expand((s^2+w1*w2)^2);
                  1                           4
(%o3) -------------------------- - -----------------------
       4      3      2              3      2         1
      z  + 4 z  + 6 z  + 4 z + 1   z  + 4 z  + 6 z + - + 4
                                                     z
             6               2 w1 w2               4             4 w1 w2
 + --------------------- + ------------ - ------------------- - ---------
    2         4   1         2                 6   4    1            1
   z  + 4 z + - + -- + 6   z  + 2 z + 1   z + - + -- + -- + 4   z + - + 2
              z    2                          z    2    3           z
                  z                               z    z
            1              2 w1 w2       2   2
 + -------------------- + ---------- + w1  w2
   4   6    4    1        2   1
   - + -- + -- + -- + 1   - + -- + 1
   z    2    3    4       z    2
       z    z    z            z
(%i4) ratcoef(numerator,z,4);
(%o4)                                  0
(%i5) ratcoef(numerator,s,4);
                               2   2
(%o5)                        w1  w2  + 2 w1 w2 + 1
(%i6) 

Related Help

Help for Algebraic