Related

eliminate

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

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

eq3:eliminate([eq1, e...

Calculate

eliminate

expr1: x * (a + c) + ...

expr2: x * (a + c) + ...

eliminate ([expr2, ex...

Calculate

eliminate-ev-fpprintprec-map-plot2d-solve

fpprintprec: 2;

e1: id = idss*(1-Vgs/...

e2: id = (Vg-Vgs)/Rs;

Calculate

eliminate-sqrt

parab:p=k*q^2;

zz: z=m*p + sqrt(1-m^...

yy: y=sqrt(1-m^2)*p -...

Calculate

eliminate-ratsimp

mix(x0, x1, t) := x0*...

bez2(x0,x1,x2, t):= m...

bez3(x0,x1,x2,x3,t):=...

Calculate

eliminate

e1: m1*ddw1 + k11*w1 ...

e2: m2*ddw2 + k22*w2 ...

e3: m3*ddw3 + k13*w1 ...

Calculate

eliminate-length-makelist-solve-unique

eqlist: [wu-wt,4*wu-3...

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

neqlist: unique(eqlist);

Calculate

eliminate-logexpand-logsimp-true

logexpand: true;

logsimp: true;

eq1: Va = Vin - Rsh*I...

Calculate

eliminate-ev-fpprintprec-map-plot2d-solve

fpprintprec: 2;

e1: id = idss*(1-Vgs/...

e2: id = (Vg-Vgs)/Rs;

Calculate

eliminate-ev-false-fpprintprec-kill-ratprint-solve

kill(all) ;

ratprint: false ;

fpprintprec:4 ;

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)
```

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