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conjugate-ev-invert-matrix-sqrt

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

w_: conjugate(w);

BaseX: ev(matrix([1/s...

Calculate

conjugate-cos-exp-integrate-pi-sin-sqrt

eq1:Y_(0,0) = 1/sqrt(...

eq2:Y_(1,-1) = sqrt(3...

eq3:Y_(1,1) = -sqrt(3...

Calculate

conjugate-exp-integrate-phi-sin

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

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

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

Calculate

conjugate-matrix-sqrt-transpose

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

w_: conjugate(w);

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

Calculate

conjugate

(h.s).conjugate(h);

Calculate

conjugate-integrate-phi

f(x):= 4*x;

phi(x):= 3*x^2 - 1/2;

integrate(conjugate(p...

Calculate

conjugate-expand

(1/(c*z + d)^4 - 1/(c...

Calculate

conjugate

A:[A[x],A[y],A[z]],A[...

conjugate(a).b;

Calculate

conjugate-expand-solve-subst

z : zr + %i * zi;

a : ar + %i * ai;

eq2: t^2 = (z - t*a) ...

Calculate

conjugate-expand-matrix-transpose

a:matrix([0,1-3*%i,1+...

b:conjugate(transpose...

expand(b*a);

Calculate

conjugate

Run Example
(%i1)? conjugate ;

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

          (%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) 
Run Example
conjugate(2+i4);
(%o1)                               i4 + 2
(%i2) 
Run Example
declare(r,real);
(%o1)                                done
(%i2) declare(t,real);
(%o2)                                done
(%i3) a:K1*r*exp(%i*t)+K2*r**2*exp(%i*2*t)+K3*r**3*exp(%i*3*t);
                  3   3 %i t       2   2 %i t          %i t
(%o3)            r  %e       K3 + r  %e       K2 + r %e     K1
(%i4) Bt:diff(a,r);
                   2   3 %i t            2 %i t        %i t
(%o4)           3 r  %e       K3 + 2 r %e       K2 + %e     K1
(%i5) Br:diff(a,t)/r;
                3   3 %i t            2   2 %i t             %i t
          3 %i r  %e       K3 + 2 %i r  %e       K2 + %i r %e     K1
(%o5)     ----------------------------------------------------------
                                      r
(%i6) factor(Bt*conjugate(Bt)+Br*conjugate(Br));
          - 2 %i t     2            %i t        2 %i t
(%o6) 2 %e         (3 r  K3 + 2 r %e     K2 + %e       K1)
                                            2   2 %i t            %i t
                                        (3 r  %e       K3 + 2 r %e     K2 + K1)
(%i7) 
[abs,bfloat,conjugate,kill,log,plot3d,rectform,sin,solve,sqrt] [abs,bfloat,conjugate,kill,log,rectform,sin,solve,sqrt] [abs,bfloat,conjugate,kill,log,rectform,solve,sqrt] [abs,conjugate,expand,solve] [abs,conjugate,expand] [array,coeff,conjugate,divide,expand,factor,genmatrix,listarray,matrix,remainder] [array,coeff,conjugate,genmatrix,listarray,matrix] [beta,conjugate,realpart] [complex,conjugate,declare,matrix,transpose] [complex,conjugate,declare,ratsimp,realpart] [complex,conjugate,declare,ratsimp] [conjugate,cos,eigenvectors,factor,matrix,sin,transpose] [conjugate,cos,exp,integrate,pi,sin,sqrt] [conjugate,cos,expand,matrix,sin,sqrt,transpose] [conjugate,cos,factor,matrix,sin,sqrt] [conjugate,cos,matrix,sin,sqrt,transpose] [conjugate,cos,matrix,sin,sqrt] [conjugate,cos,matrix,sin] [conjugate,declare,diff,exp] [conjugate,declare,imagpart] [conjugate,declare,realpart] [conjugate,declare] [conjugate,diag_matrix,matrix,sqrt,transpose] [conjugate,diff,phi,sqrt] [conjugate,diff] [conjugate,ev,invert,load,matrix,simp,sqrt,true] [conjugate,ev,invert,load,matrix,sqrt] [conjugate,ev,invert,matrix,sqrt] [conjugate,eval,invert,load,matrix,sqrt] [conjugate,exp,expand] [conjugate,exp,integrate] [conjugate,exp,transpose] [conjugate,expand] [conjugate,gramschmidt,integrate,load,map,matrix] [conjugate,gramschmidt,integrate,load,map] [conjugate,imagpart,plot2d,realpart] [conjugate,integrate,phi] [conjugate,integrate] [conjugate,invert,load,matrix,sqrt,true] [conjugate,invert,matrix,sqrt,true] [conjugate,matrix,ratsimp,sqrt,transpose] [conjugate,matrix,simp,sqrt,true] [conjugate,matrix,sqrt,transpose] [conjugate,matrix,sqrt] [conjugate,matrix,transpose] [conjugate,numer] [conjugate,plot2d] [conjugate,sqrt] [conjugate,transpose] [conjugate]

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