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#1
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Meindert Sprang wrote:
These figures are not realistic. Up to the point of the hull speed they resemble reality, but as soon as the hull starts planing, more 'ordinary' rules of resistance/drag apply and as far as I know the function becomes more like a square root function, which is mathematically definately not an asymptote. Well, there's your mistake. A hull under planing conditions is subject to normal drag, including air resistance. It no longer is subject to wave-making resistance, but that doesn't mean that *all* resistance goes away. And the function for increase is a multiple of velocity squared, which will have an asymptote. DSK |
#3
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"DSK" wrote in message
.. . Well, there's your mistake. A hull under planing conditions is subject to normal drag, including air resistance. It no longer is subject to wave-making resistance, but that doesn't mean that *all* resistance goes away. And the function for increase is a multiple of velocity squared, which will have an asymptote. 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. Meindert PS: thanks for the warning Jax but he was quicker than you thought.....:-) |
#4
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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! DSK |
#5
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"DSK" wrote in message
... 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 |
#6
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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. Anyway, the power/speed curve will "approach infinity" much much much sooner along the power axis (usually Y) than the speed axis (usually X). That's the whole point. Fresh Breezes Doug King |
#7
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#8
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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 |
#9
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give it up, dogies. you are
sooooooooooooooooooooooooooooooooooooooooooooooooo oooooooooooooooooooooooo oooooooooooooooooooooooooooooooooooo far behind the power curve you can never recover. pity that you do not now and never will understand that. From: DSK Date: 9/1/2004 12:26 PM Eastern Daylight Time Message-id: 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! DSK |
#10
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Meindert, you confuse dougies so with facts.
Well, there's your mistake. A hull under planing conditions is subject to normal drag, including air resistance. It no longer is subject to wave-making resistance, but that doesn't mean that *all* resistance goes away. And the function for increase is a multiple of velocity squared, which will have an asymptote. 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. Meindert PS: thanks for the warning Jax but he was quicker than you thought.....:-) |
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