On Wed, 01 Sep 2004 23:09:41 GMT, Brian Whatcott
wrote:
On Wed, 01 Sep 2004 00:32:59 -0400, Rodney Myrvaagnes
wrote:
I am puzzled. What quantity approaches an asymptote and against what
independent variable?
Rodney Myrvaagnes NYC
Count me as lunatic fringe. I see planing boats every day.
What you describe is not an asymptotic relation.
Rodney Myrvaagnes J36 Gjo/a
I hold that the situation I describe, though fanciful, is aptly
called asymptotic. Telling me that my description is not asymptotic as
I describe it, is called an assertion "Ex Cathedra". How are your
ecclesiastical affiliations?
//
If on further consideration, you might allow that there is SOME upper
power and speed for a given hull, then perhaps you might even describe
the relation as asymptotic?
Brian Whatcott Altus OK
No. Unless you can show an asymptotic function (mathematical) that
describes the situation.
///
In any case it is only a metaphor.
Rodney Myrvaagnes NYC J36 Gjo/a
Let me rise to the challenge, and hopefully demetaphoricate this
mathematical concept a little more for you with a worked example, as
given at the following URL
http://www.purplemath.com/modules/asymtote4.htm
Take a look at the third worked example on this page, it carries a
numerator in the second power, and a denominator in the first power.
This is somewhat like a practical thrust versus speed relation for a
hull. You will notice there may be a vertical asymptote, a slant
asymptote or a horizontal asymptote (though not both the latter,
obviously)
"May be?" If there is an asymptote there is no maybe about it. It is
in the function.
Hope this helps? It may also be responsive to Meindert's view [below]:
Meindert Sprang wrote:
Ok, I'm going to argue this one only once: by mathematical definition, a
squared function is NOT asymptotic. Because, as you can read in any
mathematics book, an asymptote reaches infinity on one axis for a defined
value on the other axis, while a squared function can reach infinity on both
axes.
Brian Whatcott Altus OK
Rodney Myrvaagnes NYC J36 Gjo/a
"WooWooism lives" Anon grafitto on the base of the Cuttyhunk breakwater light
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