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denom-factor-first-kill-num-ratsimp-second-solve

kill(all);

nodev1: 0 = g*(v0 - k...

nodev2: 0 = g*(v1 - 0...

Calculate

denom-factor-hypergeometric-num-ratsimp

simplify(hypergeometr...

P(k) := k + 1;

Q(k) := k + 3/2;

Calculate

denom-diff-inf-limit-ratsimp-solve

f(x):=(x^2-1)/(x^2+1);

solve(f(x)=f(-x),x);

denom(f(x));

Calculate

denom-first-kill-num-ratsimp-solve

kill(all);

nodev1: 0 = g*(v0 - k...

nodev2: 0 = g*(v1 - 0...

Calculate

denom-diff-solve-sqrt

f(x):=(x-9/4)*sqrt(2*x);

solve(denom(f(x)=0,x));

solve(f(x)=0,x);

Calculate

denom-first-kill-num-ratsimp-second-solve

kill(all);

nodev1: 0 = g*(v0 - k...

nodev2: 0 = g*(v1 - 0...

Calculate

denom-rhs-solve

mbc: (yc-yb)/(xc-xb);

mca: (ya-yc)/(xa-xc);

eq1: x+mbc*y-xa-mbc*ya;

Calculate

denom-sqrt

expr:1/[1+sqrt(10)+sq...

denom(expr);

Calculate

denom

Run Example
(%i1)f(x):=(x^2-2*x)*exp(x);
                                     2
(%o1)                      f(x) := (x  - 2 x) exp(x)
(%i2) solve(denom(f(x))=0);

solve: variable list is empty, continuing anyway.
(%o2)                                 []
(%i3) solve(f(x)=0,x);
                                             x
(%o3)                       [x = 0, x = 2, %e  = 0]
(%i4) f(0);
(%o4)                                  0
(%i5) f(2);
(%o5)                                  0
(%i6) f1(x):=''(diff(f(x),x));
                               2          x               x
(%o6)               f1(x) := (x  - 2 x) %e  + (2 x - 2) %e
(%i7) 
Run Example
rat(0.1234);

rat: replaced 0.1234 by 617/5000 = 0.1234
                                     617
(%o1)/R/                             ----
                                     5000
(%i2) rat(0.12345);

rat: replaced 0.12345 by 2469/20000 = 0.12345
                                     2469
(%o2)/R/                             -----
                                     20000
(%i3) rat(0.12345);

rat: replaced 0.12345 by 2469/20000 = 0.12345
                                     2469
(%o3)/R/                             -----
                                     20000
(%i4) mod(12345, 1000)/100000, numer;
(%o4)                               0.00345
(%i5) lastdigits(fnum, lastn):=block([m:10*fnum, ans, n:lastn], /* it doesn't help when lastn is bigger than the total digits in fnum it returns the whole digits in fnum anyway without erroring! and fnum=%pi stuff works only upto 8 digits cause num(rat(fnum)) has somuch only! */ratprint:false, k:rat(fnum), ans:mod(m, (10^-n))/(mod(m, 10)*denom(k)), return(float(ans)));
(%o5) lastdigits(fnum, lastn) := block([m : 10 fnum, ans, n : lastn], 
                                                   - n
                                          mod(m, 10   )
ratprint : false, k : rat(fnum), ans : -------------------, return(float(ans)))
                                       mod(m, 10) denom(k)
(%i6) lastdigits(0.12345, 3);
(%o6)                        2.0251113811259619E-8
(%i7) 
Run Example
f(x):=(x^2-2*x)*exp(x);
                                     2
(%o1)                      f(x) := (x  - 2 x) exp(x)
(%i2) solve(denom(f(x))=0);

solve: variable list is empty, continuing anyway.
(%o2)                                 []
(%i3) solve(f(x)=0,x);
                                             x
(%o3)                       [x = 0, x = 2, %e  = 0]
(%i4) f(0);
(%o4)                                  0
(%i5) f(2);
(%o5)                                  0
(%i6) f1(x):=''(diff(f(x),x));
                               2          x               x
(%o6)               f1(x) := (x  - 2 x) %e  + (2 x - 2) %e
(%i7) f2(x):=''(diff(f(x),x));
                               2          x               x
(%o7)               f2(x) := (x  - 2 x) %e  + (2 x - 2) %e
(%i8) 
[abs,assume,denom,diff,ev,linsolve,num,ratsimp,subst] [array,denom,do,ratsimp] [assume,coeff,denom,expand,solve,sqrt] [at,block,denom,float,mod,numer,rat,ratprint] [atom,defrule,denom,expandwrt_denom,factor,false,matchdeclare,maxapplydepth,ratexpand,simp,tellsimp,tellsimpafter,true] [bfloat,block,denom,false,float,mod,ratdisrep,ratprint] [bfloat,block,denom,false,float,mod,ratexpand,ratprint] [bfloat,block,denom,false,float,mod,ratprint,ratsimp] [bftorat,block,denom,float,kill,mod,rat,ratepsilon] [block,denom,equal,ev,fullratsimp,lhs,maplist,return,rhs,trigexpand] [block,denom,false,float,mod,ratprint] [coeff,denom,exp,expand,factor] [coeff,denom,expand,rhs,solve] [coeff,denom,expand,solve,sqrt] [coeff,denom,expand,solve] [coeff,denom,solve] [coeff,denom] [collectterms,denom,expand,psi,ratsimp,rhs,solve,subst] [collectterms,denom,lhs,ratsimp,rhs,solve,subst] [concat,denom,false,floor,length,makelist,map,mod,num,ratprint,transpose] [concat,denom,floor,mod,num,rat,string] [denom,diff,ev,exp,ic1,lhs,load,logcontract,ode2,ratsimp,rhs,solve] [denom,diff,ev,exp,ic1,lhs,logcontract,ode2,rhs,solve] [denom,diff,exp,float,solve,sqrt] [denom,diff,exp,solve] [denom,diff,inf,limit,ratsimp,solve] [denom,diff,ratsimp,solve,sqrt] [denom,diff,solve,sqrt] [denom,display,factor,num,ratsimp,subst] [denom,expand,num,xthru] [denom,expand,num] [denom,factor,float,hypergeometric,num,ratsimp] [denom,factor,float,hypergeometric,num] [denom,factor,num,rat,ratcoef] [denom,factor,num,ratsimp,subst] [denom,factor,num,ratsimp] [denom,first,kill,num,ratsimp,second,solve] [denom,ifactors,is,lambda,member,sublist,true] [denom,ifactors,lambda,member,sublist,true] [denom,ifactors,true] [denom,lhs,num,ratsubst,rhs,solve] [denom,lhs,ratsimp,rhs,solve,subst] [denom,lhs,ratsubst,rhs,solve] [denom,linsolve] [denom,num] [denom,plot2d,rhs,solve] [denom,rhs,solve] [denom,solve,sqrt] [denom,solve] [denom]

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