"DSK" wrote in message
...
Rodney Myrvaagnes wrote:
You are using "asymptote" in a metaphoric, rather than mathematical
sense.

Not at all.

Some realistic numbers, for example:

Let's say 1 horsepower (applied) will drive a given boat 4 knots.
2 horsepower will drive it 5.5 knots
3 horsepower will drive it 6.7
4 horsepower will drive it 7.5
6 horsepower will drive it 8.1
8 horsepower will drive it 8.5
12 horsepower will drive it 8.7
20 horsepower will drive it 8.8
50 horsepower will drive it 8.85

Now, is this a boat capable of planing? If yes, then we'll see an
increase in the amount increased speed for the next increase in
horsepower... then the trend will reappear.

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.

Meindert

the function becomes
more like a square root function, which is mathematically definately not an
asymptote.

Meindert

watch it, Meindert. dougies is now going to spend two days and five posts
trying to show *you* are wrong when you say a square function is no asymptotic.

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

See Meindert? I told you dougies would be claiming that a square function is
asymptotic. even when dougies was handed the definition of the word you
_still_ can't figure out what it means and he _still_ tries to prove that a
concrete slab salesman selling to first-time single wide buyers is a genius at
math.

From: DSK
Date: 9/1/2004 8:04 AM Eastern Daylight Time
Message-id:

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

"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.....:-)

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

"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

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

dogues, knock it off. your postings have no value in the real world.

From: DSK
Date: 9/1/2004 2:55 PM Eastern Daylight Time
Message-id:

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

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