Complex number: Difference between revisions

Content deleted Content added
Equality: if the Magnitude==0 then equal.
Tag: Reverted
Undid revision 979944610 by Nomen4Omen (talk) was correct: this is about NONZERO complex numbers, whose magnitudes are always positive, so we don't need the additional condition ("if this is positive")
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===Equality===
Complex numbers have a similar definition of equality to real numbers; two complex numbers <math>a_1+b_1i</math> and <math>a_2+b_2i</math> are equal [[if and only if]] both their real and imaginary parts are equal, that is, if <math>a_1=a_2</math> and <math>b_1=b_2</math>. Nonzero complex numbers written in [[polar form]] are equal if and only if they have the same magnitude and if this is positive, that their arguments differ by an integer multiple of {{math|2{{pi}}}}.
 
===Ordering===