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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) 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 |
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