If 0 responds to the definition of element of the complex set (which I
agree with since I am thinking that 0 is Real and all Reals are complex -
the Reals are a subset of the Complex set) then how does it follow that it
is a pure Imaginary Number? Is the argument based on your definition of a
pure Imaginary Number? How are you defining a pure Imaginary number?
Thanks,
Roberta
At 09:16 AM 6/3/97, you wrote:
>The 0 is Imaginary since 0i=i0=0 from its own property as the absorbant
>element for the multiplication in any subset of the complex set. And as
>the neutral element of the addition 0i + bi = (0+b)i = bi closure
> bi + 0i = (b+0)i = bi and if b=0 then bi=0i=0
>Thus 0 responds to the definition of element of the complex set and ,
>therefore it can be considered as a pure Imaginary number.
>
>
>At 07:10 AM 6/3/97, you wrote:
>>>What is the difference between a complex number, an imaginary number and a
>>>pure imaginary number. Somewhere I learned (but apparently in error) that
>>> a + bi is a complex number. If a = 0 then the number is imaginary.
>>>If b = 0 then it is a Real number.
>>>
>>>
>>
>>I learned basically the same thing. Every number is a complex number and
>>the complex numbers can be split into two categories, Real and Imaginary
>>(just as the Reals are either Rational or Irrational). However, I don't
>>buy the "0 is Imaginary" argument. It is on the Complex Plane but it
>>should be since the Reals are Complex.
>>
>>If I'm wrong, please set me straight since I teach this def. every quarter!
>>
>>Roberta
>>
>>____________________________________________________________
>>Roberta S. Lacefield RSLace@mail.way.peachnet.edu
>>Waycross College http://members.tripod.com/~Roberta/index.html
>>2001 S. Georgia Pkwy (912) 285 - 6027
>>Waycross, GA 31503 fax: (912) 287-4909
>>
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>
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____________________________________________________________
Roberta S. Lacefield RSLace@mail.way.peachnet.edu
Waycross College http://members.tripod.com/~Roberta/index.html
2001 S. Georgia Pkwy (912) 285 - 6027
Waycross, GA 31503 fax: (912) 287-4909
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