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The Maxima on-line user's manual

Algebra Calculator

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Conjugate Calculator

Conjugate

Function: conjugate (<x>) Returns the complex conjugate of <x>.

declare(r,real);
declare(t,real);
a:K1*r*exp(%i*t)+K2*r**2*exp(%i*2*t)+K3*r**3*exp(%i*3*t);
Bt:diff(a,r);
Br:diff(a,t)/r;
factor(Bt*conjugate(Bt)+Br*conjugate(Br));

          (%i1) declare ([aa, bb], real, cc, complex, ii, imaginary);

          (%o1)                         done
          (%i2) conjugate (aa + bb*%i);

          (%o2)                      aa - %i bb
          (%i3) conjugate (cc);

          (%o3)                     conjugate(cc)
          (%i4) conjugate (ii);

          (%o4)                         - ii
          (%i5) conjugate (xx + yy);

          (%o5)             conjugate(yy) + conjugate(xx)

(%o1)                                true
(%i2) 

Conjugate Example

Related Examples

conjugate-declare

declare ([aa, bb], re...

conjugate (aa + bb*%i);

conjugate (cc);

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[h1, h2, h3]*transpos...

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a:matrix([1,0],[0,1]);

b:matrix([o,-%i],[%i,...

m:matrix([a,-b],[a,b]);

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conjugate-cos-matrix-sin

H:matrix([V-2*t*cos(k...

h=conjugate(H);

A:matrix([0,0,0,1],[0...

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conjugate-exp-expand-phi-sin-trigreduce

ph1(z,t):= exp(-%i*(E...

ph2(z,t):= exp(-%i*(E...

phi(z,t):= A*ph1(z,t)...

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conjugate

z : x+%i*y;

((1 + z)*(1-conjugate...

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conjugate-sqrt

z=sqrt((6-sqrt(13))/2...

z+conjugate(z);

sqrt(-3);

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conjugate-sqrt

w:-1/2+%i*sqrt(3)/2;

wbar:conjugate(w);

[1,w,w^2];

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conjugate-matrix

A:matrix([a,b],[a,c]);

conjugate(A);

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conjugate-invert-matrix-simp-sqrt-true

w: -1/2 + sqrt(-3)/2;

w_: conjugate(w);

BaseX:matrix([1, w], ...

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