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ratcoef

eq1:Ncg/(sumNo-sumNwo...

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

eq3:eq1 / eq2 - Kc = 0;

Calculate

ratcoef-ratsimp

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

ratsimp(poly);

ratcoef(poly,1);

Calculate

ratcoef

eq1:Ncg/(sumNo-sumNwo...

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

eq3:eq1 / eq2 - Kc = 0;

Calculate

ratcoef-ratsimp

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

ratsimp(poly);

ratcoef(poly,1);

Calculate

ratcoef

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

ratcoef (s, a + b);

Calculate

ratcoef

s: a*x*2 + b*x + 5;

ratcoef (s, a + b);

Calculate

ratcoef

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

ratcoef (s, a + b);

Calculate

ratcoef

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

ratcoef (s, a + b);

Calculate

ratcoef

Run Example
(%i1)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) 
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,1));
                                             2
       2 L + Ro Rs C + Rb Rs C + Rb Ro C + Rb  C + Co Ro Rs + 2 Co Rb Ro
(%o7)  -----------------------------------------------------------------
                                      Ro
(%i8) 

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