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abs-cos-numer-rhs-sin-solve

mTotal: 14.1;

m1: 4.6;

phi1: 22*%pi/180;

Calculate

abs-exp

Qs(p) := 12*p - 3*exp...

Qd(p) := 80*exp(-0.05...

Ed: abs(((Qd(30) - Qd...

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abs-define-plot2d-realroots
plot2d (h(x), [x, -5, 5], [y, 35, 45]);

define (h(x), abs(2*x...

h(0);

plot2d (h(x), [x, -5,...

Calculate

abs-solve

solve([(x+3)/4-(abs(x...

Calculate

abs-asin-diff-numer

x: (h1-h2)/s;

kat: asin(x);

pochfun1: diff (x, h1);

Calculate

abs-cos-numer-pi-sin

m: .221;

v1: 13.9;

theta: 25 * 180/%pi;

Calculate

abs-addrow-cos-diff-do-matrix-numer

f(x):=cos(x^2-3*x);

d:diff(f(x),x);

a:1;

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abs

f(x,y):=abs(x-y);

dblint(f,0,1,0,1);

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abs-define-expand-float-realroots

define(f(x),(x^4+3*x^...

define(g(x), abs(4*x/...

g(-%e);

Calculate

abs-cos-define-ev-integrate-numer-pi-sin-sum

f(x):=x;

a(n):=(1/%pi)*integra...

b(n):=(1/%pi)*integra...

Calculate

abs

Run Example
(%i1)define(g(x), abs((4*x)/%e));
                                        - 1
(%o1)                       g(x) := 4 %e    abs(x)
(%i2) 
Run Example
eq0: Rs*Xc1^2/(Rs^2+Xc1^2)=Rl*Xc2^2/(Rl^2+Xc2^2);
                                   2            2
                             Rs Xc1       Rl Xc2
(%o1)                       ---------- = ----------
                               2     2      2     2
                            Xc1  + Rs    Xc2  + Rl
(%i2) eq_Xc1: -Rs*sqrt(Rl*Xc2^2/((Rs*Rl^2)+(Rs-Rl)*Xc2^2));
                                      Rl
(%o2)             - Rs sqrt(-----------------------) abs(Xc2)
                                         2     2
                            (Rs - Rl) Xc2  + Rl  Rs
(%i3) eq1:(2*Q - Rl/abs(Xc2))^2=Rs^2/eq_Xc1^2;
                                                   2     2
                            Rl    2   (Rs - Rl) Xc2  + Rl  Rs
(%o3)             (2 Q - --------)  = -----------------------
                         abs(Xc2)                   2
                                              Rl Xc2
(%i4) eq_Xc2: solve(eq1,Xc2);
                                4 abs(Xc2) Q + Rs - Rl
(%o4) [Xc2 = 0, Xc2 = - Rl sqrt(----------------------), 
                                        2
                                  4 Rl Q  - Rs + Rl
                                                       4 abs(Xc2) Q + Rs - Rl
                                         Xc2 = Rl sqrt(----------------------)]
                                                               2
                                                         4 Rl Q  - Rs + Rl
(%i5) 
Run Example
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) 

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