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Replies: 115   Last Post: Feb 15, 2010 5:36 AM

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 Marshall Posts: 1,936 Registered: 8/9/06
Posted: Feb 8, 2010 4:03 PM

On Feb 8, 11:25 am, "T.H. Ray" <thray...@aol.com> wrote:
> Marshall wrote
>
>
>

> > On Feb 8, 4:15 am, "T.H. Ray" <thray...@aol.com>
> > wrote:

> > > Ostap Bender wrote
>
> > > > BTW, why do you like the term "to transform" so
> > much?
> > > > "To transform"
> > > > means "to change", doesn't it? Do all functions
> > > > actually change their
> > > > domains? I just don't see that as a good

> > metaphor.
>
> > > It isn't a metaphor at all.  It's a property that
> > > inheres in every function.  It's a necessary

> > condition.
> > > The range of values within the domain have to obey
> > > a relation between sets that defines the function.

>
> > This relation, what is it? I would assume it is a set
> > of ordered pairs. The function, what is it? I would
> > assume it is a set of ordered pairs. The same set,
> > even. So what is the distinction?

>
> Answer this:  is every set of ordered pairs a function?
> Why or why not?

No, not every set of ordered pairs is a function.
Only those sets of ordered pairs for which each
"left" element of the set appears appears as a
left element exactly once is a function.

Is that all we're talking about? Single-valued
vs. multi-valued?

Marshall

Date Subject Author
1/25/10 rehamkcirtap@gmail.com
1/25/10 amzoti
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1/25/10 amzoti
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1/26/10 Virgil
1/26/10 Porky Pig Jr
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1/26/10 Dave L. Renfro
1/26/10 Robert Israel
1/26/10 Porky Pig Jr
1/26/10 ostap_bender_1900@hotmail.com
1/27/10 Andrew Usher
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1/28/10 Frederick Williams
1/27/10 achille
1/27/10 hdbanannah
1/27/10 rehamkcirtap@gmail.com
1/28/10 T.H. Ray
1/28/10 ostap_bender_1900@hotmail.com
1/28/10 Frederick Williams
1/28/10 Bill Dubuque
1/31/10 ostap_bender_1900@hotmail.com
1/31/10 Bill Dubuque
2/1/10 ostap_bender_1900@hotmail.com
2/1/10 T.H. Ray
2/1/10 ostap_bender_1900@hotmail.com
2/1/10 T.H. Ray
2/2/10 ostap_bender_1900@hotmail.com
2/2/10 T.H. Ray
2/2/10 ostap_bender_1900@hotmail.com
2/3/10 T.H. Ray
2/4/10 ostap_bender_1900@hotmail.com
2/5/10 T.H. Ray
2/6/10 ostap_bender_1900@hotmail.com
2/6/10 Frederick Williams
2/6/10 victor_meldrew_666@yahoo.co.uk
2/9/10 ostap_bender_1900@hotmail.com
2/10/10 victor_meldrew_666@yahoo.co.uk
2/10/10 ostap_bender_1900@hotmail.com
2/11/10 victor_meldrew_666@yahoo.co.uk
2/12/10 ostap_bender_1900@hotmail.com
2/12/10 victor_meldrew_666@yahoo.co.uk
2/12/10 ostap_bender_1900@hotmail.com
2/12/10 Frederick Williams
2/12/10 victor_meldrew_666@yahoo.co.uk
2/12/10 ostap_bender_1900@hotmail.com
2/12/10 ostap_bender_1900@hotmail.com
2/13/10 victor_meldrew_666@yahoo.co.uk
2/13/10 Marshall
2/14/10 ostap_bender_1900@hotmail.com
2/12/10 ostap_bender_1900@hotmail.com
2/13/10 ostap_bender_1900@hotmail.com
2/13/10 Tim Golden http://bandtech.com
2/13/10 victor_meldrew_666@yahoo.co.uk
2/6/10 Marshall
2/3/10 Jack Markan
2/4/10 T.H. Ray
2/4/10 rehamkcirtap@gmail.com
2/5/10 T.H. Ray
2/5/10 Jack Markan
2/5/10 T.H. Ray
2/5/10 Jack Markan
2/5/10 T.H. Ray
2/6/10 ostap_bender_1900@hotmail.com
2/6/10 T.H. Ray
2/6/10 ostap_bender_1900@hotmail.com
2/7/10 T.H. Ray
2/8/10 ostap_bender_1900@hotmail.com
2/8/10 T.H. Ray
2/10/10 Michael Stemper
2/10/10 T.H. Ray
2/10/10 victor_meldrew_666@yahoo.co.uk
2/10/10 T.H. Ray
2/10/10 T.H. Ray
2/11/10 victor_meldrew_666@yahoo.co.uk
2/11/10 T.H. Ray
2/8/10 Marshall
2/8/10 T.H. Ray
2/8/10 Marshall
2/9/10 T.H. Ray
2/8/10 ostap_bender_1900@hotmail.com
2/9/10 T.H. Ray
2/9/10 ostap_bender_1900@hotmail.com
2/8/10 ostap_bender_1900@hotmail.com
2/9/10 T.H. Ray
2/9/10 ostap_bender_1900@hotmail.com
2/10/10 T.H. Ray
2/10/10 ostap_bender_1900@hotmail.com
2/11/10 T.H. Ray
2/11/10 ostap_bender_1900@hotmail.com
2/12/10 T.H. Ray
2/12/10 Brian Q. Hutchings
2/12/10 ostap_bender_1900@hotmail.com
2/12/10 ostap_bender_1900@hotmail.com
2/13/10 victor_meldrew_666@yahoo.co.uk
2/14/10 ostap_bender_1900@hotmail.com
2/15/10 ostap_bender_1900@hotmail.com
2/12/10 Brian Q. Hutchings
2/9/10 Brian Q. Hutchings
2/9/10 ostap_bender_1900@hotmail.com
2/10/10 ostap_bender_1900@hotmail.com
2/10/10 Brian Q. Hutchings
2/10/10 ostap_bender_1900@hotmail.com
2/10/10 ostap_bender_1900@hotmail.com
1/28/10 Frederick Williams
1/28/10 Jack Markan
1/28/10 Dave L. Renfro
1/28/10 Porky Pig Jr
1/28/10 Jack Markan
1/29/10 Michael Stemper
1/29/10 Jack Markan
1/28/10 Jack Markan