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ev-ratsimp-solve-sqrt

eq1: x^2 + y^2 = 1;

eq2: x + y - A = 0;

eq2a: ev(eq2, A=4);

Calculate

ev-factor-resultant-solve

factor (x^6+x^5+2*x^4...

F:(a^3+b*c^2)^2+(a^2+...

G:ev(F,[a:d,d:a,b:c,c...

Calculate

ev-solve-solveradcan

solve (4^(x) = 1, x);

ev (solve (4^(x/2) = ...

Calculate

ev-factor-ratsimp-rhs-solve

eq1: Eq=V-(1-tau)*C/r...

eq2: Vb =((1-tau)*C/r...

eq3: Eq=V-(1-tau)*(C/...

Calculate

ev

ev(3*x^3-2*x^2+x,X=5);

Calculate

ev-maplist

ans3:y+1/2*x-1+k*(x^2...

gen2:ev(ans3,k=0);

gen1:(ans3-ev(ans3,k=...

Calculate

ev-expand

oo:ev(x^3+3*x-2,[x=t+...

expand(oo);

Calculate

ev-simp

a: ev(((x^4)^(1/3)),s...

b: ev(x*(x^2)^(1/5),s...

ta: ev((a/b)^3,simp);

Calculate

ev-linsolve

eq1:x*4+y-2=y;

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

ev-makelist-numer-plot2d
plot2d([discrete,folge],[style,points],[y,4.5,8]);

ev(%pi,numer);

x[1]:4;

x[n]:=(5+4*x[n-1])^(1...

Calculate

ev

Run Example
(%i1)M:120;
(%o1)                                 120
(%i2) alpha:15;
(%o2)                                 15
(%i3) g:9.81;
(%o3)                          9.810000000000001
(%i4) R:7;
(%o4)                                  7
(%i5) V:20/3.6;
(%o5)                          5.555555555555555
(%i6) Mom:ev(sin(alpha*%pi/180)*M*g*R*25.4/2000,numer);
(%o6)                          27.08621023263771
(%i7) Speed:ev(V/(R*25.4e-3),numer);
(%o7)                          31.24609423822022
(%i8) 
Run Example
funktion(x,y) := (x^3-9*x)/(1+y^2);
                                             3
                                            x  - 9 x
(%o1)                     funktion(x, y) := --------
                                                  2
                                             1 + y
(%i2) fx : diff(funktion(x,y),x);
                                      2
                                   3 x  - 9
(%o2)                              --------
                                     2
                                    y  + 1
(%i3) fy : diff(funktion(x,y),y);
                                     3
                                 2 (x  - 9 x) y
(%o3)                          - --------------
                                     2     2
                                   (y  + 1)
(%i4) fxx : diff(diff(funktion(x,y),x),x);
                                     6 x
(%o4)                               ------
                                     2
                                    y  + 1
(%i5) fyy : diff(diff(funktion(x,y),y),y);
                            3         2       3
                        8 (x  - 9 x) y    2 (x  - 9 x)
(%o5)                   --------------- - ------------
                             2     3         2     2
                           (y  + 1)        (y  + 1)
(%i6) a11 : ev(fxx, x=sqrt(3), y=0);
                                       3/2
(%o6)                               2 3
(%i7) a22 : ev(fyy, x=sqrt(3), y=0);
                                     3/2    5/2
(%o7)                          - 2 (3    - 3   )
(%i8) 
Run Example
eq:x^8-x^7+x^5-x^4+x^3-x+1;
                         8    7    5    4    3
(%o1)                   x  - x  + x  - x  + x  - x + 1
(%i2) eq2:ev(eq,x=x-4);
                     8          7          5          4          3
(%o2)   - x + (x - 4)  - (x - 4)  + (x - 4)  - (x - 4)  + (x - 4)  + 5
(%i3) eq3:expand(eq2);
       8       7        6         5          4          3           2
(%o3) x  - 33 x  + 476 x  - 3919 x  + 20139 x  - 66127 x  + 135444 x
                                                             - 158161 x + 80581
(%i4) eq4:create_list(coeff(eq3,x,i),i,0,7);
(%o4)    [80581, - 158161, 135444, - 66127, 20139, - 3919, 476, - 33]
(%i5) map(gcd,eq4);
(%o5) [spmod(80581), spmod(- 158161), spmod(135444), spmod(- 66127), 
                          spmod(20139), spmod(- 3919), spmod(476), spmod(- 33)]
(%i6) 
[abs,addrow,cos,diff,do,ev,matrix,numer] [abs,ev,eval,plot2d,sin] [addcol,addrow,diff,do,ev,genmatrix,invert,kill,load,matrix,plot2d,romberg,sqrt,submatrix] [addcol,addrow,diff,ev,genmatrix,invert,kill,length,lmax,lmin,load,matrix,plot2d,romberg,sqrt,submatrix] [addrow,ev,log,matrix] [addrow,ev,matrix] [allroots,create_list,diff,ev,exp,log,numer,ratsimp] [allroots,ev,find_root,numer,solve] [apply1,assume,defrule,diff,ev,ident,inf,integrate,load,matrix,sqrt,transpose] [assume,diff,ev,integrate,plot2d,sin] [assume,diff,ev,integrate,plot2d] [atan,ev,float,numer,solve] [bfloat,bftorat,block,ev,float2bf,makelist,mod,ratepsilon,ratprint,return] [bftorat,block,delete,ev,false,float,if,integerp,mod,ratdenom,ratepsilon,ratprint] [bftorat,block,ev,false,float2bf,fpprec,if,integerp,kill,mod,ratdenom,ratepsilon,ratprint,return] [cabs,carg,ev,load,log,numer,plot2d] [coeff,eliminate,ev,expand,linsolve,sqrt] [cos,diff,ev,ratsimp,sin] [create_list,ev,float,length,load,matrix,plot2d] [define,ev,exp,log,sqrt] [diff,ev,exp,integrate,sin] [diff,ev,float,fullratsimp,integrate,rhs,solve] [diff,ev,integrate,sin] [diff,ev,kill,load] [diff,ev,numer,sin] [diff,ev,solve] [diff,ev] [do,ev,log,numer] [eigenvalues,ev,matrix,ratsimp,solve,sqrt] [ev,expand] [ev,float,ratsimp] [ev,float,solve,subst] [ev,float,solve] [ev,float] [ev,horner,keepfloat,true] [ev,infeval] [ev,integrate] [ev,kill,load,nouns,print] [ev,linsolve] [ev,matrix] [ev,numer,pi] [ev,numer,sin] [ev,numer,solve] [ev,numer] [ev,rhs,solve] [ev,simp] [ev,solve] [ev,sqrt] [ev,sum] [ev]

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