Fishing - What's a boy to do?

FishingBanter (http://www.fishingbanter.com/index.php)

- Fly Fishing (http://www.fishingbanter.com/forumdisplay.php?f=6)

- - What's a boy to do? (http://www.fishingbanter.com/showthread.php?t=24102)

What's a boy to do?

wrote in message
...
On Thu, 2 Nov 2006 10:38:41 -0600, Kevin Vang wrote:

In article ,
says...
According to your theory, that dart can easily
and readily strike any point on the disk or any point outside of the
circumference created by the selection of the first and second points,
up to and including "un-measurably" close to the inside or the outside
of the circumference, but can never actually strike a point on the
circumference. IOW, the third point (Dart C) can only create a second
radius that must be less than or greater than the first radius. With
not being able to select a second point on the circumference, arcs, in
such a world, don't exist. If arcs don't exist, geometry, trig, etc.
begins to break down. In the failure cascade of interrelated bits , it
takes all math down with it.

It's not that the arc doesn't exist, and we cannot choose points on
that arc. The point is that the probability of hitting that arc with
a dart is 0.

Intuitive explanation: Suppose your dartboard has radius 1. Throw a
dart at the dartboard, and let r1 = radius from the center of the
dartboard to the dart. Now throw a second dart, and let r be the
radius. Then the probability that r = r1 is

number of values of r for which r = r1 1
------------------------------------------- = ------------ = 0.
number of possible values for r infinity

More technical (and more correct) explanation: If we assume that every
point on the dartboard is equally likely to be hit, then the probability
that r = r1 is:

measure of the set for which r = r1 0
-------------------------------------- = ------------ = 0
measure of the dartboard pi * 1^2

because the dartboard is a 2-dimensional surface, the appropriate
measure is area. The measure of the entire dartboard is the area of
a circle with radius 1, so the area is pi*1^2 = 1. The set of points
for which r = r1 is the circle with radius r1. Since the circle is
just a curve with width 0 on the plane, it has area 0.

Slightly more technical (and more correct): Not every point on the
dartboard is equally likely to be hit.

Apparently. The word on the street is that at least some are completely
unhittable, what with the probability of doing so being zero or
infinitely small or pi-r-square or, well, something all dangerously full
of symbols and greek letters and ****...

If p(r,theta) is the
probablility density function giving the probability that the dart hits
point (r,theta) in polar coordinates, then the probability that r = r1
is:

/ r1
| p(r,theta) dA
/ r1 0
------------------------- = --- = 0
/ 1 1
| p(r,theta) dA
/ 0

because we are integrating with respect to area, and the top integral
is done over a region with area 0, so the value of the integral is 0.

SEE! SEE! I WARNED YA, BUT NOO-O-O-O-O...

IAC, three answers, each "and more correct" than the previous one.
Interesting. Is this progression going to lead to something infinitely
correct (or something to at least stick a fork in and call "done"), or
is the probability of hitting that target zero, too?

HTH,
Kevin
And I'm pretty certain that mathematics doesn't all disappear if
somebody doesn't understand one bit of it.

Hey, go easy on me, I'm learning...for example, I've already learned
that when 2 math whiz-types and a rat-gutter answer a question, the odds
that they will come up with the correct answer is like one in a
gazillion or bazillion or some other REALLY big ol' number...

And right back at ya, Pythagoras

Hee, hee, hee.

Wolfgang
is it just me or has anyone else noticed that the probability of surrenders
in general (and dicklet's in particular) being gracious tends to decrease
over time?

What's a boy to do?

wrote in message
...
On Thu, 2 Nov 2006 10:03:10 -0600, "Wolfgang" wrote:

wrote in message
. ..
On 1 Nov 2006 16:46:23 -0800, "Wolfgang" wrote:

SNI-I-I-I-IP

I will simply confine myself

Well, no, you didn't do either, but perhaps you should...

to making a proposition open to
anyone. Give me three darts and a prediction of where they will land
relative to one another in terms of distance from the center of the
target, and I will prove you wrong EVERY time. :)

Gee, it seems like this might be an attempt at a sucker bet...OK. I
accept. And I'd offer that you couldn't even do it ONE time... and that
you couldn't do it even if given a 3-dimensional "dartboard"...but don't
pee all over yourself, here's another hint: the taxpayers of Olathe,
Kansas are probably very glad you can't do it even that one time...why,
heck, one might say that's the essence of an industry...

HTH,
R
...I feel generous, here's another hint: ya better go back to sucker-bet
development school - with the "bet" above, it doesn't matter how, when,
or if you throw them...

The beauty of saying nothing is that you can never be proved wrong and
that
you never have to retract a statement, ainna? One can only suppose that
someone suggested this strategy to you and that you stick to it without a
hint as to its efficacy out of sheer dogged inability to think of anything
else to do. Well, that and the fact that so many play so gently with you.
:)

Hee, hee, hee...

Again, I accept your proposal...wanna bet on the outcome?

Sure. You bring the dartboard......and the absinthe. I got Oprah and
Emeril on DVD.

Wolfgang
who, it must be admitted, has always been a bit rougher with his toys than
the other kids.

Hmmm...maybe a big handful of Albolene would cut down on the
irritation...

Maybe. I'm sure we are all eager to hear the results of the experiment

While from a humanity standpoint I hope that helps, from a
keeping-down-lunch standpoint, I don't care to know if it did,

Humanity has nothing to do with it.......toys aren't people.

Wolfgang

What's a boy to do?

"Wolfgang" wrote in message
...

"Kevin Vang" wrote in message It's an illusion.
Obviously, you can never reach the wall because you can subdivide the
remaining distance to it in half infinitely. Naturally, it follows that
you are infintely adding increments of distance to that already travelled.
This will, eventually, result in travelling an infinite distance. This is
all very tiring. There is also the mental strain of dealing with the
proposition of an infinite distance yet to go. You are actually dropping
of sheer exhaustion about half way to the wall.

Lively discussion then ensues...

You should direct some of your less gifted students to leave the classroom
and come here. This will have the salutary effect of raising the IQ in
both places. :)

Unfortunately, by your logic, they can't get here either. :-(

--riverman
(and exactly where they ARE has historically been the source of lively
teacher's room discussions for an eternity, or more.)

What's a boy to do?

On Thu, 2 Nov 2006 12:27:39 -0600, Kevin Vang wrote:

In article t,
says...
The two are on the football field goal line and on the other goal line is
the best of the Dallas cheerleaders, buck naked. The mathman and the
engineer are told the first person that gets there gets to do any thing they
desire with the lassie. Only rule is you can only move 1/2 the distance to
the goal in any one move. The mathman says no use to start as it is an
infinite series and you will never get there. The engineer, says 8 moves
and I can be close enough for my purposes.

Then "mathman" clearly didn't know what he was talking about. I do this
in my Calc II class every year when we get to the chapter on infinite
series. I don't have any nekkid cheerleaders,

Yeah, the odds of most mathematicians having any of THEM is infinitely
small...

but I stand at one wall

Now, that, they often do...

TC,
R
....oh, please...fine, fine, fine: G...

What's a boy to do?

On Thu, 2 Nov 2006 13:00:17 -0600, "Wolfgang" wrote:

Again, I accept your proposal...wanna bet on the outcome?

Sure. You bring the dartboard......and the absinthe. I got Oprah and
Emeril on DVD.

Hang on a minute....first things first. How much would you like to
lose? 2500USD? 1000EURO? 1000GBP?

What's a boy to do?

On Thu, 02 Nov 2006 18:14:56 GMT, "Calif Bill"
wrote:

The two are on the football field goal line and on the other goal line is
the best of the Dallas cheerleaders, buck naked. The mathman and the
engineer are told the first person that gets there gets to do any thing they
desire with the lassie. Only rule is you can only move 1/2 the distance to
the goal in any one move. The mathman says no use to start as it is an
infinite series and you will never get there. The engineer, says 8 moves
and I can be close enough for my purposes.

And while these two geniuses were figuring, calculating, and such, any
actual man present would say "rules my ass," walk on down and make her
see God a few times, help her up on her shaking, bowed legs, get her a
real nice dress, and take her to drinks and dinner...and if things
continue to go well, probably spend the night at her place...

HTH,
R
....I mean, really...what guy with any sense at all worries about all
this theoretical gibberish when there's real, good-looking pussy just
300 feet away...

What's a boy to do?

wrote in message
...
On Thu, 2 Nov 2006 13:00:17 -0600, "Wolfgang" wrote:

Again, I accept your proposal...wanna bet on the outcome?

Sure. You bring the dartboard......and the absinthe. I got Oprah and
Emeril on DVD.

Hang on a minute....first things first. How much would you like to
lose? 2500USD? 1000EURO? 1000GBP?

Sure. What time shall I expect you?

Wolfgang
oh, we're going to have so much fun!

What's a boy to do?

On Thu, 2 Nov 2006 14:26:25 -0600, "Wolfgang" wrote:

wrote in message
.. .
On Thu, 2 Nov 2006 13:00:17 -0600, "Wolfgang" wrote:

Again, I accept your proposal...wanna bet on the outcome?

Sure. You bring the dartboard......and the absinthe. I got Oprah and
Emeril on DVD.

Hang on a minute....first things first. How much would you like to
lose? 2500USD? 1000EURO? 1000GBP?

Sure. What time shall I expect you?

Yeah, that's what I thought...you puss out before you're forced to welsh
on the bet...run back under the porch, lil' pup...

What's a boy to do?