U:RDoc::NormalClass[iI"Complex:ET@I"Numeric;To:RDoc::Markup::Document:@parts[o;;[o:RDoc::Markup::Paragraph;[	I"FA complex number can be represented as a paired real number with ;TI"Fimaginary unit; a+bi.  Where a is real part, b is imaginary part ;TI":and i is imaginary unit.  Real a equals complex a+0i ;TI"mathematically.;To:RDoc::Markup::BlankLineo;	;[I"AComplex object can be created as literal, and also by using ;TI"BKernel#Complex, Complex::rect, Complex::polar or to_c method.;T@o:RDoc::Markup::Verbatim;[
I"%2+1i                 #=> (2+1i)
;TI"%Complex(1)           #=> (1+0i)
;TI"%Complex(2, 3)        #=> (2+3i)
;TI"HComplex.polar(2, 3)  #=> (-1.9799849932008908+0.2822400161197344i)
;TI"%3.to_c               #=> (3+0i)
;T:@format0o;	;[I"GYou can also create complex object from floating-point numbers or ;TI"
strings.;T@o;;[I"'Complex(0.3)         #=> (0.3+0i)
;TI")Complex('0.3-0.5i')  #=> (0.3-0.5i)
;TI".Complex('2/3+3/4i')  #=> ((2/3)+(3/4)*i)
;TI"HComplex('1@2')       #=> (-0.4161468365471424+0.9092974268256817i)
;TI"
;TI"'0.3.to_c             #=> (0.3+0i)
;TI")'0.3-0.5i'.to_c      #=> (0.3-0.5i)
;TI".'2/3+3/4i'.to_c      #=> ((2/3)+(3/4)*i)
;TI"H'1@2'.to_c           #=> (-0.4161468365471424+0.9092974268256817i)
;T;0o;	;[I">A complex object is either an exact or an inexact number.;T@o;;[I".Complex(1, 1) / 2    #=> ((1/2)+(1/2)*i)
;TI"(Complex(1, 1) / 2.0  #=> (0.5+0.5i);T;0:
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