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Topic: Is (t^2-9)/(t-3) defined at t=3?
Replies: 166   Last Post: Oct 30, 2013 9:41 AM

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magidin@math.berkeley.edu

Posts: 11,090
Registered: 12/4/04
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 13, 2013 1:31 PM
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On Sunday, October 13, 2013 8:13:49 AM UTC-5, Hetware wrote:
> On 10/13/2013 1:18 AM, Arturo Magidin wrote:
>

> > On Saturday, October 12, 2013 7:47:12 PM UTC-5, Hetware wrote:
>
> >> On 10/8/2013 12:43 AM, Arturo Magidin wrote:
>
> >>
>
> >>> On Monday, October 7, 2013 7:52:32 PM UTC-5, Hetware wrote:
>
> >>
>
> >>
>
> >>
>
> >>>> Too late, I already have. I now realize I was asserting my
>
> >>
>
> >>>> assumptions
>
> >>
>
> >>>>
>
> >>
>
> >>>> in the wrong order.
>
> >>
>
> >>>
>
> >>
>
> >>> It wasn't a problem of order. The problem was that you were
>
> >>> asserting
>
> >>
>
> >>> assumptions without warrant.
>
> >>
>
> >>>
>
> >>
>
> >>
>
> >>
>
> >> I can assert a function to be continuous,
>
> >
>
> > You can assert anything you want, true. It doesn't stop you from
>
> > being wrong for "asserting" what you should not be asserting without
>
> > warrant.
>
> >
>
> > In particular, functions are not "declared" to be continuous, they
>
> > are not "assumed" to be continuous, and they are not "asserted" to be
>
> > continuous.
>
>
>
> That's nonsense. In variational calculus we assert the existence of an
>
> infinite number of continuous, twice differentiable functions which
>
> coincide at the boundaries of the parameter domain, but are otherwise
>
> arbitrary.


In variational calculus, you PROVE THE EXISTENCEE of such function; you don't take a function, dub it with a sword, and say "I declare thee to be continuous everywhere."

You were given a *specific* function, defined via a formula that does not hold everywhere. You don't get to then say "I declare this function to be continuous" without warrant.

And that's the point that we have attempted to make to you and you refuse to listen.

--
Arturo Magidin


Date Subject Author
9/28/13
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Hetware
9/28/13
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Michael F. Stemper
9/28/13
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scattered
9/28/13
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Hetware
9/28/13
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quasi
9/28/13
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Hetware
9/28/13
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quasi
9/28/13
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Peter Percival
9/29/13
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quasi
9/28/13
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Hetware
9/28/13
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Richard Tobin
9/28/13
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Hetware
9/28/13
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tommyrjensen@gmail.com
9/29/13
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Hetware
10/6/13
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Hetware
10/6/13
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Peter Percival
10/6/13
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Hetware
10/6/13
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quasi
10/8/13
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quasi
10/7/13
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Peter Percival
9/29/13
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Michael F. Stemper
9/29/13
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Hetware
9/29/13
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quasi
9/29/13
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Hetware
9/29/13
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magidin@math.berkeley.edu
10/6/13
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Hetware
10/6/13
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magidin@math.berkeley.edu
10/7/13
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Hetware
10/7/13
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LudovicoVan
10/7/13
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Peter Percival
10/8/13
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magidin@math.berkeley.edu
10/12/13
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Hetware
10/12/13
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fom
10/13/13
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magidin@math.berkeley.edu
10/13/13
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Richard Tobin
10/13/13
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Hetware
10/13/13
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Peter Percival
10/13/13
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fom
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magidin@math.berkeley.edu
10/13/13
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magidin@math.berkeley.edu
10/8/13
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quasi
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magidin@math.berkeley.edu
10/8/13
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quasi
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quasi
10/12/13
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Hetware
10/13/13
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quasi
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Peter Percival
10/9/13
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magidin@math.berkeley.edu
10/9/13
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fom
10/10/13
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magidin@math.berkeley.edu
10/10/13
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fom
10/7/13
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Peter Percival
10/7/13
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Hetware
10/7/13
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fom
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Peter Percival
9/29/13
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quasi
9/30/13
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Peter Percival
9/30/13
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Peter Percival
9/30/13
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RGVickson@shaw.ca
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Roland Franzius
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9/28/13
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9/28/13
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Virgil
9/29/13
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quasi
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Virgil
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Virgil
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magidin@math.berkeley.edu
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9/30/13
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10/6/13
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10/6/13
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Peter Percival
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David Bernier
9/29/13
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9/28/13
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Hetware
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Richard Tobin
9/30/13
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Ciekaw
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Robin Chapman
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Virgil
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LudovicoVan
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10/6/13
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Hetware
10/7/13
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10/7/13
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10/7/13
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Hetware
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10/8/13
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Hetware
10/9/13
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10/9/13
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10/7/13
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10/8/13
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Hetware
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Virgil
10/8/13
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Hetware
10/9/13
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magidin@math.berkeley.edu
10/9/13
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Peter Percival
10/10/13
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Ciekaw
10/9/13
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10/10/13
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Tim Golden BandTech.com
10/13/13
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Hetware
10/13/13
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10/13/13
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Hetware
10/14/13
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Peter Percival
10/13/13
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Hetware
10/13/13
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fom
10/13/13
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Hetware
10/13/13
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fom
10/14/13
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fom
10/14/13
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Hetware
10/14/13
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magidin@math.berkeley.edu
10/14/13
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magidin@math.berkeley.edu
10/14/13
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Peter Percival
10/14/13
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Hetware
10/14/13
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quasi
10/16/13
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@less@ndro
10/16/13
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quasi
10/19/13
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Hetware
10/19/13
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quasi
10/19/13
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Hetware
10/20/13
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fom
10/20/13
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quasi
10/20/13
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Hetware
10/20/13
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fom
10/20/13
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Hetware
10/20/13
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Peter Percival
10/20/13
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Richard Tobin
10/20/13
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Hetware
10/30/13
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@less@ndro
10/19/13
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Hetware
10/10/13
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Ronald Benedik
10/10/13
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Peter Percival
10/10/13
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Virgil
10/18/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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fom
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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Peter Percival
10/19/13
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Hetware
10/19/13
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fom
10/19/13
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magidin@math.berkeley.edu
10/19/13
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Hetware
10/19/13
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magidin@math.berkeley.edu
10/20/13
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Hetware
10/20/13
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quasi
10/20/13
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quasi
10/20/13
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Hetware
10/20/13
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Peter Percival
10/20/13
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magidin@math.berkeley.edu
10/20/13
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Hetware
10/20/13
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Arturo Magidin
10/20/13
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Hetware
10/20/13
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magidin@math.berkeley.edu
10/19/13
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fom

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