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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-imagpart-radcan-realpart

declare(a,complex);

realpart(a)+%i*imagpa...

Calculate

complex-declare-define-determinant-domain-matrix

domain:complex;

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

declare([S,J],real);

Calculate

complex-declare-factor-imagpart-realpart-solve

declare(a1,complex);

declare(b1,complex);

declare(a2,complex);

Calculate

complex-conjugate-declare-matrix-transpose

declare(w,complex);

declare(r,complex);

W:matrix([1,w],[w,1]);

Calculate

complex-declare-partfrac

declare(x, complex);

partfrac((x0**2*(z*x*...

Calculate

complex-define-domain-factor-hessian

domain:complex;

define(f(x,y,z),(z+y+...

define(H(x,y,z),hessi...

Calculate

complex-declare-rectform-solve

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

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

eq2:a1*zB1+b1=a2*zB2+b2;

Calculate

complex-domain-rectform

domain:'complex;

rectform((-1)^(1/3));

Calculate