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Thread: complex number

  1. #1 complex number 
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    why complex number change in to order pair

    a+ib=(a,b)

    why order pair change in to complex number

    (a,b)=a+ib


    (prove it)


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  3. #2  
    Brassica oleracea Strange's Avatar
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    Aren't they just two different ways of writing the same thing?


    ei incumbit probatio qui dicit, non qui negat
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  4. #3  
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    There isn't anything to prove...
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  5. #4 Complex numbers 
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    In view of representation of complex numbers , it is desirable to define a complex number a+bi as an ordered pair (a,b) of real numbers a & b subject to certain operational definitions.

    *Equality: (a,b) = (c,d) iff a=c and b=d
    *Sum : (a,b) + (c,d) = (a+c,b+d)
    *Product : (a,b).(c,d) = (ac-bd , ad+bc).

    * i = (0,1)..
    ---------------------------------------------------
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