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display2d-expand-false

display2d:false;

e1:(-4*fa*gxa^2*gyc-f...

e2: fa*(4*gxa^2*(fc-g...

Calculate

display2d-false-sqrt-sublis

display2d : false;

sublis([Kx=(18*c^2-18...

Calculate

display2d-ev-false-numer-true

numer:true;

display2d:false;

a:76 * 1000;

Calculate

display2d-false-ratsimp

display2d:false;

e: (1-t)^3*P1 + 3*t*(...

ratsimp(e);

Calculate

display2d-false

display2d:false;

X=R*(1-cos[zeta]);

Calculate

display2d-expand-false-load-plot2d
plot2d(f(x), [x,0,4]);

load(interpol);

display2d:false;

p:[[0.4,0.3],[1.2,3.2...

Calculate

display2d-expand-false

display2d:false;

e: (1-t)^3*P1 + 3*t*(...

expand(e^e);

Calculate

display2d-ev-false-rhs-solve-subst

display2d:false ;

circle: (x-x0)^2+y^2=...

RA: 2*RO ;

Calculate

display2d-false-solve

display2d:false;

ax: a0x + t * (a1x - ...

ay: a0y + t * (a1y - ...

Calculate

display2d

Run Example
(%i1)display2d:false;

(%o1) false
(%i2) 
/* Rennen (Solo 2, Tout 8) kein Kontra */ eq: w*8-8*(1-w)=4;

(%o2) 8*w-8*(1-w) = 4
(%i3) 
solve(eq,w);

(%o3) [w = 3/4]
(%i4) 
/* VM (Solo 2, Tout 8) Kontra */ eq: w*8-16*(1-w)=4;

(%o4) 8*w-16*(1-w) = 4
(%i5) 
solve(eq,w);

(%o5) [w = 5/6]
(%i6) 
/* Solo 4 Einheiten, Laufende kein Kontra */ eq: w*2*(4+L)-2*(4+L)*(1-w)=4+L+2 ;

(%o6) 2*w*(L+4)-2*(1-w)*(L+4) = L+6
(%i7) 
solve(eq,w);

(%o7) [w = (3*L+14)/(4*L+16)]
(%i8) 
/* Solo 4 Einheiten, Laufende Kontra*/ eq: 2*(4+L)*w-4*(4+L)*(1-w)=4+L+2 ;

(%o8) 2*w*(L+4)-4*(1-w)*(L+4) = L+6
(%i9) 
solve(eq,w);

(%o9) [w = (5*L+22)/(6*L+24)]
(%i10) 
Run Example
display2d:false;

(%o1) false
(%i2) 
simp:true;

(%o2) true
(%i3) 
cost(QS,QU):=(S*(QS+QU)+exp(-I*QS/D)*D*(R-S*W/I)+exp(-I*((QS+QU)/(D*W)-QU/D))*W*(C*D-D*R+D*S/12/W+D*S/I-QS*S-QU*S)+exp(-I*T)*(D*R*W-C*D*W-D*R-D*S/12))/I;

(%o3) cost(QS,QU):=
           (S*(QS+QU)+exp((-I)*QS/D)*D*(R-S*W/I)
                     +exp((-I)*((QS+QU)/(D*W)-QU/D))
                      *W*(C*D-D*R+D*S/12/W+D*S/I+(-QS)*S+(-QU)*S)
                     +exp((-I)*T)*(D*R*W-C*D*W+(-D)*R+(-D)*S/12))/I
(%i4) 
dqs:diff(cost(QS,QU),QS);

(%o4) (-S*W*%e^-(I*((QU+QS)/(D*W)-QU/D))
       -I*(D*S/(12*W)-QU*S-QS*S+D*S/I-D*R+C*D)*%e^-(I*((QU+QS)/(D*W)-QU/D))/D
       -I*%e^-(I*QS/D)*(R-S*W/I)+S)
       /I
(%i5) 
dqu:diff(cost(QS,QU),QU);

(%o5) (-I*(1/(D*W)-1/D)*(D*S/(12*W)-QU*S-QS*S+D*S/I-D*R+C*D)*W
         *%e^-(I*((QU+QS)/(D*W)-QU/D))
       -S*W*%e^-(I*((QU+QS)/(D*W)-QU/D))+S)
       /I
(%i6) 
Run Example
display2d:true;
(%o1)                                true
(%i2) serie(a,b):=a+b;
(%o2)                        serie(a, b) := a + b
(%i3) parallel(a,b):=1/(1/a+1/b);
                                                1
(%o3)                       parallel(a, b) := -----
                                              1   1
                                              - + -
                                              a   b
(%i4) teiler(a,b):=a/(a+b);
                                               a
(%o4)                        teiler(a, b) := -----
                                             a + b
(%i5) ZC(wC):=1/(%i*wC);
                                            1
(%o5)                           ZC(wC) := -----
                                          %i wC
(%i6) Z(R1,R2,wC1):=parallel(R2,serie(R1,ZC(wC1)));
(%o6)         Z(R1, R2, wC1) := parallel(R2, serie(R1, ZC(wC1)))
(%i7) U2_zu_I(R1,R2,wC1):=teiler(ZC(wC1),R1)*Z(R1,R2,wC1);
(%o7)     U2_zu_I(R1, R2, wC1) := teiler(ZC(wC1), R1) Z(R1, R2, wC1)
(%i8) factor(abs(U2_zu_I(R1,R2,wC1)));
                                   abs(R2)
(%o8)                ------------------------------------
                             2               2     2
                     sqrt((R2  + 2 R1 R2 + R1 ) wC1  + 1)
(%i9) R1:10000;
(%o9)                                10000
(%i10) R2:1000;
(%o10)                               1000
(%i11) wC1:2*%pi*50*15E-9;
(%o11)                     1.4999999999999998E-6 %pi
(%i12) float(abs(U2_zu_I(R1,R2,wC1)));
(%o12)                         998.6592015405731
(%i13) float(factor(abs(U2_zu_I(R1,R2,wC1))));

rat: replaced 4.4444444444444452E+11 by 444444444444/1 = 4.44444444444E+11

rat: replaced 4.4444444444444452E+11 by 444444444444/1 = 4.44444444444E+11

rat: replaced 4.4444444444444452E+11 by 444444444444/1 = 4.44444444444E+11

rat: replaced 4.4444444444444452E+11 by 444444444444/1 = 4.44444444444E+11

rat: replaced 666666.6666666667 by 2000000/3 = 666666.6666666666
(%o13)                         998.6592015410711
(%i14) 
[abs,asinh,display2d,false,sqrt,subst] [abs,display2d,factor,false,float,plot2d,sqrt] [abs,display2d,factorsum,false,float,imagpart,ratsimp] [coeff,cos,display2d,do,false,makelist,print,ratsubst,sin,sqrt,sum,trigexpand] [coeff,cos,display2d,false,makelist,ratsubst,sin,solve,sqrt,sum,trigexpand] [combine,display2d,expand,false] [cos,diff,display2d,false,ratsimp,sin,solve,subst] [cos,display2d,false,matrix,sin,trigsimp] [cos,display2d,false,matrix,sin] [cos,display2d,false,sin,solve] [cos,display2d,false,sin] [determinant,diff,display2d,false,matrix,solve] [determinant,diff,display2d,false,matrix] [determinant,display2d,false,matrix] [diff,display2d,exp,false,solve] [diff,display2d,exp,false,sqrt] [diff,display2d,expand,false,solve] [diff,display2d,expand,false] [diff,display2d,facsum,false,ratsimp,solve,sqrt] [diff,display2d,false,log] [diff,display2d,false,pi,sin] [diff,display2d,false,solve] [diff,display2d,false,sqrt,subst] [diff,display2d,false,sqrt] [diff,display2d,false,subst] [diff,display2d,false] [display2d,eliminate,false,solve] [display2d,eliminate,false] [display2d,expand,false,load,plot2d] [display2d,expand,false,load] [display2d,expand,false,ratsimp] [display2d,expand,false,sqrt] [display2d,expand,false] [display2d,expandwrt,false] [display2d,false,floor,solve] [display2d,false,if,plot2d,sqrt] [display2d,false,integrate,sqrt] [display2d,false,plot2d,sqrt] [display2d,false,plot2d] [display2d,false,rat] [display2d,false,ratsimp,solve,subst] [display2d,false,ratsimp,solve] [display2d,false,ratsimp,sqrt] [display2d,false,ratsimp] [display2d,false,solve,sqrt] [display2d,false,solve,subst,tan] [display2d,false,solve,subst] [display2d,false,solve] [display2d,false,sqrt] [display2d,false]

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