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eliminate

eq1:vm = (va*C*p + vo...

eq2:va = (vo*C*p + vi...

eq3:vm = vi*r4/(r3+r4);

Calculate

eliminate-solve

eq1:H=(1/2)*(-9.8)*t^...

eq2:S=98.1+(-9.8)*t;

eliminate([eq1, eq2],...

Calculate

eliminate-solve

eliminate([3*x^2-y^2=...

soluciones:solve(2*x^...

Calculate

eliminate-solve

expr1: x*(a+b)+y*a+z*b;

expr2: y*a;

expr3: z*b;

Calculate

eliminate-length-makelist-unique

eqlist: [wu-wt,2*wu-w...

neqlist: unique(eqlist);

neqlist: makelist(neq...

Calculate

eliminate-solve

eq1:H=(1/2)*(-9.8)*t^...

eq2:S=98.1+(-9.8)*t;

eliminate([eq1, eq2],...

Calculate

eliminate-factor

eliminate([-I2+I3+Ic,...

Calculate

eliminate

eliminate([-I2+I3+Ic,...

Calculate

eliminate-first-solve

eq1:60*x=40*y;

eq2:(60*x+40*y)/(x + ...

solve(first(eliminate...

Calculate

eliminate-solve

eq1:H=(1/2)*(-9.8)*t^...

eq2:S=98.1+(-9.8)*t;

eq3:eliminate([eq1, e...

Calculate

eliminate

Run Example
(%i1)Puiab:[Pk=abs(ak)^2-abs(bk)^2,Uk=(ak+bk)*sqrt(Z0k), Ik=(ak-bk)/sqrt(Z0k)];
                  2     2                                  ak - bk
(%o1)     [Pk = ak  - bk , Uk = (bk + ak) sqrt(Z0k), Ik = ---------]
                                                          sqrt(Z0k)
(%i2) abUI:[ak=(Uk+Z0k*Ik)/(2*sqrt(Z0k)),bk=(Uk-Z0k*Ik)/(2*sqrt(Z0k))];
                           Ik Z0k + Uk       Uk - Ik Z0k
(%o2)                [ak = -----------, bk = -----------]
                           2 sqrt(Z0k)       2 sqrt(Z0k)
(%i3) spoj:[U1=(a1+b1)*sqrt(Z01),  U2=(a2+b2)*sqrt(Z02),I1=(a1-b1)/sqrt(Z01),  I2=(a2-b2)/sqrt(Z02),U1=U2, I1+I2=0];
                                                                 a1 - b1
(%o3) [U1 = (b1 + a1) sqrt(Z01), U2 = (b2 + a2) sqrt(Z02), I1 = ---------, 
                                                                sqrt(Z01)
                                                a2 - b2
                                          I2 = ---------, U1 = U2, I2 + I1 = 0]
                                               sqrt(Z02)
(%i4) spoj1:[eliminate(spoj,  [U1, U2, I1, I2])];
(%o4) [[- (- b2 - a2) sqrt(Z02) - (b1 + a1) sqrt(Z01), 
                            b1 sqrt(Z02) - a1 sqrt(Z02) + (b2 - a2) sqrt(Z01)]]
(%i5) 
Run Example
eq1:mka*o1/100+mko=o2;
                               mka o1
(%o1)                          ------ + mko = o2
                                100
(%i2) eq2:mka+mko=100;
(%o2)                           mko + mka = 100
(%i3) eliminate([eq1,eq2],[mka]);
(%o3)                 [100 o2 + (mko - 100) o1 - 100 mko]
(%i4) 
Run Example
display2d: false;

(%o1) false
(%i2) 
e1: sin(x1)-y1;

(%o2) sin(x1)-y1
(%i3) 
e2: cos(x2)-y2;

(%o3) cos(x2)-y2
(%i4) 
e3: (x-x1)*1 + (y-y1)*cos(x1);

(%o4) cos(x1)*(y-y1)-x1+x
(%i5) 
e4: (x-x2)*1 - (y-y2)*sin(x2);

(%o5) -sin(x2)*(y-y2)-x2+x
(%i6) 
e31: ((x-x1))^2 + y1^2*(y-y1)^2 - (y-y1)^2;

(%o6) (y-y1)^2*y1^2-(y-y1)^2+(x-x1)^2
(%i7) 
e41: ((x-x2))^2 + y2^2*(y-y2)^2 - (y-y2)^2;

(%o7) (y-y2)^2*y2^2-(y-y2)^2+(x-x2)^2
(%i8) 
e5: (x-x1)^2 + (y-y1)^2 - (x-x2)^2 - (y-y2)^2;

(%o8) -(y-y2)^2+(y-y1)^2-(x-x2)^2+(x-x1)^2
(%i9) 
map(factor, eliminate([e1,e2,e31,e41,e5],[y1,y2]));

(%o9) [2*cos(x2)*y-2*sin(x1)*y-cos(x2)^2-x2^2+2*x*x2+sin(x1)^2+x1^2-2*x*x1,
       (sin(x1)^2*y^2-y^2-2*sin(x1)^3*y+2*sin(x1)*y+sin(x1)^4-sin(x1)^2+x1^2
                     -2*x*x1+x^2)
        ^2,
       4*sin(x1)^2*y^6-4*y^6+4*sin(x1)*x2^2*y^5-8*x*sin(x1)*x2*y^5
                      -20*sin(x1)^3*y^5-4*x1^2*sin(x1)*y^5+8*x*x1*sin(x1)*y^5
                      +20*sin(x1)*y^5+x2^4*y^4-4*x*x2^3*y^4
                      -26*sin(x1)^2*x2^2*y^4-2*x1^2*x2^2*y^4+4*x*x1*x2^2*y^4
                      +4*x^2*x2^2*y^4+14*x2^2*y^4+52*x*sin(x1)^2*x2*y^4
                      +4*x*x1^2*x2*y^4-8*x^2*x1*x2*y^4-28*x*x2*y^4
                      +41*sin(x1)^4*y^4+26*x1^2*sin(x1)^2*y^4
                      -52*x*x1*sin(x1)^2*y^4-42*sin(x1)^2*y^4+x1^4*y^4
                      -4*x*x1^3*y^4+4*x^2*x1^2*y^4-10*x1^2*y^4+20*x*x1*y^4
                      +4*x^2*y^4+y^4-12*sin(x1)*x2^4*y^3+48*x*sin(x1)*x2^3*y^3
                      +56*sin(x1)^3*x2^2*y^3+24*x1^2*sin(x1)*x2^2*y^3
                      -48*x*x1*sin(x1)*x2^2*y^3-48*x^2*sin(x1)*x2^2*y^3
                      -44*sin(x1)*x2^2*y^3-112*x*sin(x1)^3*x2*y^3
                      -48*x*x1^2*sin(x1)*x2*y^3+96*x^2*x1*sin(x1)*x2*y^3
                      +88*x*sin(x1)*x2*y^3-44*sin(x1)^5*y^3
                      -56*x1^2*sin(x1)^3*y^3+112*x*x1*sin(x1)^3*y^3
                      +48*sin(x1)^3*y^3-12*x1^4*sin(x1)*y^3
                      +48*x*x1^3*sin(x1)*y^3-48*x^2*x1^2*sin(x1)*y^3
                      +32*x1^2*sin(x1)*y^3-64*x*x1*sin(x1)*y^3
                      -12*x^2*sin(x1)*y^3-4*sin(x1)*y^3-2*x2^6*y^2
                      +12*x*x2^5*y^2+30*sin(x1)^2*x2^4*y^2+6*x1^2*x2^4*y^2
                      -12*x*x1*x2^4*y^2-24*x^2*x2^4*y^2-14*x2^4*y^2
                      -120*x*sin(x1)^2*x2^3*y^2-24*x*x1^2*x2^3*y^2
                      +48*x^2*x1*x2^3*y^2+16*x^3*x2^3*y^2+56*x*x2^3*y^2
                      -54*sin(x1)^4*x2^2*y^2-60*x1^2*sin(x1)^2*x2^2*y^2
                      +120*x*x1*sin(x1)^2*x2^2*y^2+120*x^2*sin(x1)^2*x2^2*y^2
                      +54*sin(x1)^2*x2^2*y^2-6*x1^4*x2^2*y^2
                      +24*x*x1^3*x2^2*y^2+22*x1^2*x2^2*y^2-48*x^3*x1*x2^2*y^2
                      -44*x*x1*x2^2*y^2-62*x^2*x2^2*y^2-4*x2^2*y^2
                      +108*x*sin(x1)^4*x2*y^2+120*x*x1^2*sin(x1)^2*x2*y^2
                      -240*x^2*x1*sin(x1)^2*x2*y^2-108*x*sin(x1)^2*x2*y^2
                      +12*x*x1^4*x2*y^2-48*x^2*x1^3*x2*y^2+48*x^3*x1^2*x2*y^2
                      -44*x*x1^2*x2*y^2+88*x^2*x1*x2*y^2+12*x^3*x2*y^2
                      +8*x*x2*y^2+26*sin(x1)^6*y^2+54*x1^2*sin(x1)^4*y^2
                      -108*x*x1*sin(x1)^4*y^2-32*sin(x1)^4*y^2
                      +30*x1^4*sin(x1)^2*y^2-120*x*x1^3*sin(x1)^2*y^2
                      +120*x^2*x1^2*sin(x1)^2*y^2-40*x1^2*sin(x1)^2*y^2
                      +80*x*x1*sin(x1)^2*y^2+14*x^2*sin(x1)^2*y^2
                      +6*sin(x1)^2*y^2+2*x1^6*y^2-12*x*x1^5*y^2
                      +24*x^2*x1^4*y^2-8*x1^4*y^2-16*x^3*x1^3*y^2
                      +32*x*x1^3*y^2-26*x^2*x1^2*y^2+2*x1^2*y^2-12*x^3*x1*y^2
                      -4*x*x1*y^2-2*x^2*y^2+8*sin(x1)*x2^6*y
                      -48*x*sin(x1)*x2^5*y-24*sin(x1)^3*x2^4*y
                      -24*x1^2*sin(x1)*x2^4*y+48*x*x1*sin(x1)*x2^4*y
                      +96*x^2*sin(x1)*x2^4*y+20*sin(x1)*x2^4*y
                      +96*x*sin(x1)^3*x2^3*y+96*x*x1^2*sin(x1)*x2^3*y
                      -192*x^2*x1*sin(x1)*x2^3*y-64*x^3*sin(x1)*x2^3*y
                      -80*x*sin(x1)*x2^3*y+24*sin(x1)^5*x2^2*y
                      +48*x1^2*sin(x1)^3*x2^2*y-96*x*x1*sin(x1)^3*x2^2*y
                      -96*x^2*sin(x1)^3*x2^2*y-32*sin(x1)^3*x2^2*y
                      +24*x1^4*sin(x1)*x2^2*y-96*x*x1^3*sin(x1)*x2^2*y
                      -32*x1^2*sin(x1)*x2^2*y+192*x^3*x1*sin(x1)*x2^2*y
                      +64*x*x1*sin(x1)*x2^2*y+88*x^2*sin(x1)*x2^2*y
                      +8*sin(x1)*x2^2*y-48*x*sin(x1)^5*x2*y
                      -96*x*x1^2*sin(x1)^3*x2*y+192*x^2*x1*sin(x1)^3*x2*y
                      +64*x*sin(x1)^3*x2*y-48*x*x1^4*sin(x1)*x2*y
                      +192*x^2*x1^3*sin(x1)*x2*y-192*x^3*x1^2*sin(x1)*x2*y
                      +64*x*x1^2*sin(x1)*x2*y-128*x^2*x1*sin(x1)*x2*y
                      -16*x^3*sin(x1)*x2*y-16*x*sin(x1)*x2*y-8*sin(x1)^7*y
                      -24*x1^2*sin(x1)^5*y+48*x*x1*sin(x1)^5*y+12*sin(x1)^5*y
                      -24*x1^4*sin(x1)^3*y+96*x*x1^3*sin(x1)^3*y
                      -96*x^2*x1^2*sin(x1)^3*y+24*x1^2*sin(x1)^3*y
                      -48*x*x1*sin(x1)^3*y-8*x^2*sin(x1)^3*y-4*sin(x1)^3*y
                      -8*x1^6*sin(x1)*y+48*x*x1^5*sin(x1)*y
                      -96*x^2*x1^4*sin(x1)*y+12*x1^4*sin(x1)*y
                      +64*x^3*x1^3*sin(x1)*y-48*x*x1^3*sin(x1)*y
                      +40*x^2*x1^2*sin(x1)*y-4*x1^2*sin(x1)*y
                      +16*x^3*x1*sin(x1)*y+8*x*x1*sin(x1)*y+4*x^2*sin(x1)*y
                      +x2^8-8*x*x2^7-4*sin(x1)^2*x2^6-4*x1^2*x2^6+8*x*x1*x2^6
                      +24*x^2*x2^6+4*x2^6+24*x*sin(x1)^2*x2^5+24*x*x1^2*x2^5
                      -48*x^2*x1*x2^5-32*x^3*x2^5-24*x*x2^5+6*sin(x1)^4*x2^4
                      +12*x1^2*sin(x1)^2*x2^4-24*x*x1*sin(x1)^2*x2^4
                      -48*x^2*sin(x1)^2*x2^4-10*sin(x1)^2*x2^4+6*x1^4*x2^4
                      -24*x*x1^3*x2^4-24*x^2*x1^2*x2^4-10*x1^2*x2^4
                      +96*x^3*x1*x2^4+20*x*x1*x2^4+16*x^4*x2^4+50*x^2*x2^4
                      +4*x2^4-24*x*sin(x1)^4*x2^3-48*x*x1^2*sin(x1)^2*x2^3
                      +96*x^2*x1*sin(x1)^2*x2^3+32*x^3*sin(x1)^2*x2^3
                      +40*x*sin(x1)^2*x2^3-24*x*x1^4*x2^3+96*x^2*x1^3*x2^3
                      -64*x^3*x1^2*x2^3+40*x*x1^2*x2^3-64*x^4*x1*x2^3
                      -80*x^2*x1*x2^3-40*x^3*x2^3-16*x*x2^3-4*sin(x1)^6*x2^2
                      -12*x1^2*sin(x1)^4*x2^2+24*x*x1*sin(x1)^4*x2^2
                      +24*x^2*sin(x1)^4*x2^2+8*sin(x1)^4*x2^2
                      -12*x1^4*sin(x1)^2*x2^2+48*x*x1^3*sin(x1)^2*x2^2
                      +16*x1^2*sin(x1)^2*x2^2-96*x^3*x1*sin(x1)^2*x2^2
                      -32*x*x1*sin(x1)^2*x2^2-44*x^2*sin(x1)^2*x2^2
                      -4*sin(x1)^2*x2^2-4*x1^6*x2^2+24*x*x1^5*x2^2
                      -24*x^2*x1^4*x2^2+8*x1^4*x2^2-64*x^3*x1^3*x2^2
                      -32*x*x1^3*x2^2+96*x^4*x1^2*x2^2-12*x^2*x1^2*x2^2
                      -4*x1^2*x2^2+88*x^3*x1*x2^2+8*x*x1*x2^2+8*x^4*x2^2
                      +20*x^2*x2^2+8*x*sin(x1)^6*x2+24*x*x1^2*sin(x1)^4*x2
                      -48*x^2*x1*sin(x1)^4*x2-16*x*sin(x1)^4*x2
                      +24*x*x1^4*sin(x1)^2*x2-96*x^2*x1^3*sin(x1)^2*x2
                      +96*x^3*x1^2*sin(x1)^2*x2-32*x*x1^2*sin(x1)^2*x2
                      +64*x^2*x1*sin(x1)^2*x2+8*x^3*sin(x1)^2*x2
                      +8*x*sin(x1)^2*x2+8*x*x1^6*x2-48*x^2*x1^5*x2
                      +96*x^3*x1^4*x2-16*x*x1^4*x2-64*x^4*x1^3*x2
                      +64*x^2*x1^3*x2-56*x^3*x1^2*x2+8*x*x1^2*x2-16*x^4*x1*x2
                      -16*x^2*x1*x2-8*x^3*x2+sin(x1)^8+4*x1^2*sin(x1)^6
                      -8*x*x1*sin(x1)^6-2*sin(x1)^6+6*x1^4*sin(x1)^4
                      -24*x*x1^3*sin(x1)^4+24*x^2*x1^2*sin(x1)^4
                      -6*x1^2*sin(x1)^4+12*x*x1*sin(x1)^4+2*x^2*sin(x1)^4
                      +sin(x1)^4+4*x1^6*sin(x1)^2-24*x*x1^5*sin(x1)^2
                      +48*x^2*x1^4*sin(x1)^2-6*x1^4*sin(x1)^2
                      -32*x^3*x1^3*sin(x1)^2+24*x*x1^3*sin(x1)^2
                      -20*x^2*x1^2*sin(x1)^2+2*x1^2*sin(x1)^2
                      -8*x^3*x1*sin(x1)^2-4*x*x1*sin(x1)^2-2*x^2*sin(x1)^2
                      +x1^8-8*x*x1^7+24*x^2*x1^6-2*x1^6-32*x^3*x1^5+12*x*x1^5
                      +16*x^4*x1^4-22*x^2*x1^4+x1^4+8*x^3*x1^3-4*x*x1^3
                      +8*x^4*x1^2+2*x^2*x1^2+4*x^3*x1+x^4]
(%i10) 
[abs,eliminate,linsolve,sqrt] [abs,eliminate,sqrt] [append,assume,declare,eliminate,ev,first,fpprintprec,lambda,map,plot2d,solve,sublist] [append,coeff,delete,do,eliminate,expand,length,matrix,rat,solve,transpose,unique] [append,coeff,delete,do,eliminate,expand,length,matrix,rat,transpose,unique] [append,delete,eliminate,length,makelist,solve,subst,unique] [append,delete,eliminate,length,makelist,solve,unique] [append,desolve,diff,eliminate,rhs,subst] [append,eliminate,length,makelist,unique] [assume,cons,eliminate,ev,fpprintprec,map,plot2d,solve] [assume,declare,eliminate,ev,first,fpprintprec,lambda,map,plot2d,solve,sublist] [augcoefmatrix,display,do,eliminate,linsolve,mat_unblocker,max,ptriangularize,rowswap] [augcoefmatrix,display,do,eliminate,mat_unblocker,max,ptriangularize,rowswap,solve] [batch,eliminate] [charpoly,coeff,eliminate,expand,matrix,plot2d,sublis] [charpoly,coeff,eliminate,expand,matrix,sublis] [coeff,cos,eliminate,makelist,rat,ratexpand,ratsubst,sin,trigexpand] [coeff,eliminate,ev,expand,linsolve,matrix,ratsimp,sqrt] [coeff,eliminate,ev,expand,linsolve,sqrt] [coeff,eliminate,expand] [coefmatrix,eliminate,length,makelist,rank,triangularize,unique] [coefmatrix,eliminate,length,makelist,rank,triangularize] [cons,eliminate,ev,fpprintprec,map,plot2d,solve] [cos,diff,eliminate,ratsimp,sin] [cos,display2d,eliminate,false,map,sin] [cos,eliminate,ev,linsolve,matrix,ratsimp,sin,sqrt] [cos,eliminate,expand,factorout,sin] [cos,eliminate,sin,sqrt] [cos,eliminate,sin] [diff,eliminate,expand,float,integrate,map,ratsimp,subst] [diff,eliminate,linsolve] [display2d,eliminate,false,solve] [display2d,eliminate,false] [echelon,eliminate,matrix,triangularize] [eliminate,ev,fpprintprec,map,plot2d,solve] [eliminate,expand,piece,sqrt,substpart] [eliminate,expand] [eliminate,facsum,ratsimp] [eliminate,false,logexpand,logsimp] [eliminate,fullratsimp] [eliminate,kill] [eliminate,length,makelist,solve,unique] [eliminate,length,makelist,unique] [eliminate,linsolve,sqrt] [eliminate,log] [eliminate,logexpand,logsimp,true] [eliminate,ratsimp] [eliminate,solve] [eliminate,sqrt] [eliminate]

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