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Complex

6.2 Complex===========

A complex expression is specified in Maxima by adding the real part ofthe expression to %i times the imaginary part. Thus the roots of theequation x^2 - 4*x + 13 = 0 are 2 + 3*%i and 2 - 3*%i. Note thatsimplification of products of complex expressions can be effected byexpanding the product. Simplification of quotients, roots, and otherfunctions of complex expressions can usually be accomplished by usingthe realpart, imagpart, rectform, polarform, abs, cargfunctions.

eq1:x+y=0;
eq2:x^4=1;
eq3:y^4=1;
linsolve([eq1,eq2,eq3],[x,y]), domain:complex;

There are also some inexact matches for complex. Try ?? complex to see them.

(%o1)                                true
(%i2) 

Related Examples

complex-declare-define-domain-matrix-sqrt

domain:complex;

declare([a,b,c,d,e,f,...

declare([S,J],real);

Calculate

complex-declare-gfactor-partfrac

declare(x, complex);

partfrac(gfactor((x0*...

Calculate

complex-declare-domain-factor-rectform-solve

domain:complex;

declare([a1,b1,a2,b2,...

eq1:a1*zA1+b1=a2*zA2+b2;

Calculate

complex-domain-imagpart-makelist-plot2d-realpart
plot2d([discrete,ReList,ImList],[x,-2,2],[y,-2,2],[style, [points]]);

domain:complex;

ImList:makelist(imagp...

ReList:makelist(realp...

Calculate

complex-conjugate-declare-ratsimp

declare (Za, complex);

eq1: (Za+%i*w*L)*(1/(...

ratsimp(eq1);

Calculate

complex-declare-domain-factor-rectform-solve

domain:complex;

declare([a1,b1,a2,b2,...

eq1:a1*zA1+b1=a2*zA2+b2;

Calculate

complex-declare-solve

declare(a1,complex);

declare(b1,complex);

declare(a2,complex);

Calculate

complex-domain-imagpart-makelist

domain:complex;

makelist(imagpart((-2...

Calculate

complex-diff-display2d-domain-false-ratprint-solve

domain:complex;

display2d:false;

ratprint:false;

Calculate

complex-display2d-domain-false-ratprint-solve

domain:complex;

display2d:false;

ratprint:false;

Calculate