Sponsored links: Algebra eBooks
 

Related

ratcoef-sqrt

ratcoef(x*(x-(33-sqrt...

Calculate

ratcoef-sqrt

ratcoef(47916/(7*sqrt...

Calculate

ratcoef-sqrt

collect(ratcoef(47916...

Calculate

ratcoef

poly:(x-a)*(x-b)*(x-c...

ratcoef(poly,x);

Calculate

ratcoef-sqrt

collect(ratcoef(47916...

Calculate

ratcoef

s: a*x + b*x*x + 5;

ratcoef (s, a + b);

Calculate

ratcoef-sqrt

ratcoef(x*(x-(33-sqrt...

Calculate

ratcoef-sqrt

ratcoef(47916/(7*sqrt...

Calculate

ratcoef

eq1:Ncg/(sumNo-sumNwo...

eq2:(Nc-Ncg)/(sumNwo+...

eq3:eq1 / eq2 - Kc = 0;

Calculate

ratcoef-sqrt

ratcoef(x*(x-(33-sqrt...

Calculate

ratcoef

Run Example
(%i1)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) 
Run Example
Z1: (Rs+Rb)+s*L;
(%o1)                            s L + Rs + Rb
(%i2) Z3: s*L + Rb;
(%o2)                              s L + Rb
(%i3) Y4: s*Co + 1/Ro;
                                          1
(%o3)                              Co s + --
                                          Ro
(%i4) Y2: s*C + 1/(Z3+1/Y4);
                                   1
(%o4)                     -------------------- + s C
                                    1
                          s L + --------- + Rb
                                       1
                                Co s + --
                                       Ro
(%i5) H: 1/(1+Z1*Y2) / (1+Z3*Y4);
                  1
(%o5) 1/(((Co s + --) (s L + Rb) + 1) ((s L + Rs + Rb)
                  Ro
                                                     1
                                           (-------------------- + s C) + 1))
                                                      1
                                            s L + --------- + Rb
                                                         1
                                                  Co s + --
                                                         Ro
(%i6) rat(factor(num(H)),s);
(%o6)/R/                               1
(%i7) factor(ratcoef(factor(denom(H)),s,3));
                        C L (L + Co Ro Rs + 2 Co Rb Ro)
(%o7)                   -------------------------------
                                      Ro
(%i8) 
Run Example
Z1: (Rs+Rb)+s*L;
(%o1)                            s L + Rs + Rb
(%i2) Z3: s*L + Rb;
(%o2)                              s L + Rb
(%i3) Y4: s*Co + 1/Ro;
                                          1
(%o3)                              Co s + --
                                          Ro
(%i4) Y2: s*C + 1/(Z3+1/Y4);
                                   1
(%o4)                     -------------------- + s C
                                    1
                          s L + --------- + Rb
                                       1
                                Co s + --
                                       Ro
(%i5) H: 1/(1+Z1*Y2) / (1+Z3*Y4);
                  1
(%o5) 1/(((Co s + --) (s L + Rb) + 1) ((s L + Rs + Rb)
                  Ro
                                                     1
                                           (-------------------- + s C) + 1))
                                                      1
                                            s L + --------- + Rb
                                                         1
                                                  Co s + --
                                                         Ro
(%i6) rat(factor(num(H)),s);
(%o6)/R/                               1
(%i7) factor(ratcoef(factor(denom(H)),s,2));
                                                                    2
      Rs C L + Ro C L + 2 Rb C L + 2 Co Ro L + Co Rb Ro Rs C + Co Rb  Ro C
(%o7) --------------------------------------------------------------------
                                       Ro
(%i8) 

Related Help

Help for Ratcoef