At 10:59 AM 6/3/97, you wrote:
>You said "Thus 0 responds to the definition of element of the complex set
>and ,
>therefore it can be considered as a pure Imaginary number. "
>
>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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>>
>> "Thinking is the hardest work there is, which is the probable reason
>> why so few people engage in it."
>> Henry Ford
>>
>> Sounny Slitine
>> epartment of Mathematics
>>
>> 1400 W. Villaret
>> San Antonio, Texas 78224
>> Off 210-921-5341 Hm 512-416-9316
>> Fax 210-921-5005
>> E-mail sslitine@accd.edu
>> sslitine@austin.cc.tx.us
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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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>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Sharon Smith
Augusta Technical Institute
3116 Deans Bridge Road
Augusta, GA 30906
Math Instructor
Isa 43:1-3
email ssmith@augusta.tec.ga.us
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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