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#71
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Meindert, dougies will argue on and on and on and on and on and on hoping you
forget what you originally said. dougiees is one dumb squat pretending to be human. 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. Oh, OK. I see now... Please explain further... the power/speed graph can reach infinity on both axes? Does this mean that we can have negative horsepower? That would make for excellent fuel efficiency! Sigh! With both axes I mean X and Y axis. And in our case only in the first quadrant, where X and Y are positive. Meindert |
#72
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#73
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yeah, sure. anything you say.
Date: 9/1/2004 6:20 PM Eastern Daylight Time Message-id: On Wed, 01 Sep 2004 14:55:48 -0400, DSK wrote: Please explain further... the power/speed graph can reach infinity on both axes? Does this mean that we can have negative horsepower? That would make for excellent fuel efficiency! Meindert Sprang wrote: Sigh! With both axes I mean X and Y axis. And in our case only in the first quadrant, where X and Y are positive. Dammit, another great idea shot down... I thought we could have a boat where if you put the engine in gear while you were sailing, it would actually *produce* fuel. Actually, it's a reality. There are now electric aux motors that can recharge battery banks by putting the drive in gear while sailing. Just one more thing about boats you don't know. I'm a little surprised about this one, because I'm sure it's been mentioned in the magazines where you get most of your "knowlege" BB |
#74
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#75
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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 |
#76
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On Wed, 01 Sep 2004 23:39:16 -0400, Rodney Myrvaagnes
wrote: /// Count me as lunatic fringe. /// Rodney Myrvaagnes J36 Gjo/a OK |
#78
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"May be?" If there is an asymptote there is no maybe about it. It is
in the function. Rodney, don't confuse 'em with science. it gives 'em headaches. |
#79
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On Tue, 31 Aug 2004 21:46:31 GMT, Dan Best wrote:
I've really resisted jumping into this one, but.... This weekend in Olympia, Washington State, is the Harbor Days festival. During Harbor Days are the well-known tug boat races. As a sailor, I understand bow waves, hull speeds, and displacement hulls. It is a pretty good bet that the 70' tug will beat the 35' tug. I think the longer tug could win with the engine just above an idle. But it is really amazing to watch the bow wave dynamics in action. A 30 foot tug with 600 horsepower can build a HUGE bow wave and still not pass its hull speed. The waves generated in this race are far greater than the waves from cargo ships that are 10 times as long and 1,000 times larger. |
#80
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