rxwine
rxwine
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May 30th, 2012 at 7:58:36 PM permalink
Quote:

A German 16-year-old has become the first person to solve a mathematical problem posed by Sir Isaac Newton more than 300 years ago.

Shouryya Ray worked out how to calculate exactly the path of a projectile under gravity and subject to air resistance, The (London) Sunday Times reported.




http://www.foxnews.com/world/2012/05/27/german-teen-solves-300-year-old-mathematical-riddle-posed-by-sir-isaac-newton/#ixzz1wPczbNtj
There's no secret. Just know what you're talking about before you open your mouth.
WongBo
WongBo
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May 30th, 2012 at 8:11:02 PM permalink
It's an awesome accomplishment and he should be honored.
Sort of sad that it will improve the field of ballistics...
When is someone going to figure out how the world can cough up a few billion to end starvation?
In a bet, there is a fool and a thief. - Proverb.
EvenBob
EvenBob
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May 30th, 2012 at 8:13:33 PM permalink
Quote: WongBo

ItWhen is someone going to figure out how the world can cough up a few billion to end starvation?



How about figuring out how to stop idiots who can't
afford it from having too many babies first.
"It's not called gambling if the math is on your side."
WongBo
WongBo
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May 30th, 2012 at 8:15:18 PM permalink
Delete, not going to hijack.
In a bet, there is a fool and a thief. - Proverb.
mrjjj
mrjjj
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May 30th, 2012 at 8:18:20 PM permalink
Quote: EvenBob

How about figuring out how to stop idiots who can't
afford it from having too many babies first.




http://www.latimes.com/news/nation/nationnow/la-na-nn-tennessee-man-has-30-kids-20120518,0,4036567.story
EvenBob
EvenBob
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May 30th, 2012 at 8:39:05 PM permalink
Shouryya Ray worked out how to calculate>>>

A math genius born in India. I'm sure Germany is very proud..
"It's not called gambling if the math is on your side."
WongBo
WongBo
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May 30th, 2012 at 8:41:23 PM permalink
You know the Germans are a lot like Americans,
Many American have German heritage.
One thing they have in common,
Claiming the successful citizens as their own.
If this guy had shot up a school,
The headline would read "Indian immigrant shoots...
In a bet, there is a fool and a thief. - Proverb.
EvenBob
EvenBob
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May 30th, 2012 at 8:51:24 PM permalink
Quote: WongBo

You know the Germans are a lot like Americans,



If it was America and it was a first gen Chinese kid
named Lee Chang, I can almost guarantee it would
have been reported as 'Chinese-American Lee Chang'.
"It's not called gambling if the math is on your side."
WongBo
WongBo
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May 30th, 2012 at 8:55:23 PM permalink
Yeah you're probably right.
But if he was a white/euro it would just say American..
In a bet, there is a fool and a thief. - Proverb.
andysif
andysif
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May 30th, 2012 at 9:16:24 PM permalink
i have been searching the whole internet with no answer.
what question exactly did he solve?
EvenBob
EvenBob
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May 30th, 2012 at 9:18:15 PM permalink
Quote: andysif

i have been searching the whole internet with no answer.
what question exactly did he solve?



Why 5 pounds of cement won't fit is a 3 pound
bucket has always baffled me. It probably
something harder than that, though..
"It's not called gambling if the math is on your side."
WongBo
WongBo
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May 30th, 2012 at 9:23:11 PM permalink
Ray solved two fundamental particle dynamics theories
which physicists have previously been able to calculate only by using powerful computers.
The first problem is: “Particle-wall collision under Hertzian collision force and linear Damping.”

And the second problem is: “Trajectory of an oblique body thrown in the earth’s gravitational field
and Newton’s law of universal gravitation to calculate Flow resistance.":

Let (x(t),y(t)) be the position of a particle at time t.
Let g be the acceleration due to gravity and c the constant of friction.
Solve the differential equation:

(x''(t)^2 + (y''(t)+g)^2 )^{1/2} = c(x'(t)^2 + y'(t)^2 )
subject to the constraint that (x''(t),y''(t)+g) is always opposite in direction to (x'(t),y'(t)).

Finding the general solution to this differential equation will find the general solution
for the path of a particle which has drag proportional to the square of the velocity (and opposite in direction).
Here's an explanation how this differential equation encodes the motion of such a particle:

The square of the velocity is:

x'(t)^2 + y'(t)^2
The total acceleraton is:

( x''(t)^2 + y''(t)^2 )^{1/2}
The acceleration due to gravity is g in the negative y direction.
Thus the drag (acceleration due only to friction) is [the preceding should probably read
"the impedance (acceleration due to friction plus gravity) is"]:

\bigg( x''(t)2 + (y''(t)+g)2 \bigg)(1/2)
Thus path of such a particle satisfies the differential equation:

( x''(t)^2 + (y''(t)+g)^2 )^{1/2} = c(x'(t)^2 + y'(t)^2 )
Of course, we also require the direction of the drag (x''(t),y''(t)+g)
to be opposite to the direction of the velocity (x'(t),y'(t)).
Once we find the intial position and velocity of the particle,
uniqueness theorems tell us its path is uniquely determined."

"Here's a forward solution (found by reverse-engineering the answer):

Consider a projectile moving in gravity with quadratic air resistance.
The governing equations are

u' = -a u \sqrt{ u^2 + v^2 }
v' = -a v \sqrt{ u^2 + v^2 } - g
where a is the coefficient of air resistance defined by |F| = ma|v|^2 .

Cross-multiply and rearrange to find

a \sqrt{ u^2 + v^2 } (uv'-vu') = gu'
Substitute v = su and separate variables:

a \sqrt{ 1 + s^2} s' = g\frac {u'}{u^3}
Integrate both sides to get the answer:

\frac g {u^2} + a \left(\frac{v \sqrt{ u^2 + v^2 }}{u^2} + \sinh^{-1}\left|\frac v u\right| \right)= C"
In a bet, there is a fool and a thief. - Proverb.
andysif
andysif
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May 30th, 2012 at 10:21:48 PM permalink
thanks. must be a genius to solve this when it takes this long to just write the question.
konceptum
konceptum
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May 30th, 2012 at 10:26:21 PM permalink
1. Find German teen.
2. Teach him to count cards at blackjack.
3. ???
4. Profit!!!
AcesAndEights
AcesAndEights
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May 31st, 2012 at 2:04:08 PM permalink
Quote: konceptum

1. Find German teen.
2. Teach him to count cards at blackjack.
3. ???
4. Profit!!!


This is stupid. The mathematical part of card counting is easy. It's everything else that is hard, and I'm guessing the kid's social skills aren't in the same realm as his math skills.
"So drink gamble eat f***, because one day you will be dust." -ontariodealer
QuadDeuces
QuadDeuces
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May 31st, 2012 at 3:02:08 PM permalink
Quote: WongBo

Sort of sad that it will improve the field of ballistics...



Not sad at all. Doping the wind will still be art.
EvenBob
EvenBob
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May 31st, 2012 at 3:08:00 PM permalink
Quote: AcesAndEights

This is stupid. The mathematical part of card counting is easy.



The movie Rainman was stupid, as are most BJ movies.
Totally out of whack with reality. The latest is on the
TV show Breaking Bad. The main guy makes millions
by cooking meth, and his wife explains the money as
winnings from card counting BJ. Everybody buys it,
even the audience. Nobody on the shows discussion
boards even raised an eyebrow, movies have convinced
them wealth is easily attainable this way.
"It's not called gambling if the math is on your side."
Doc
Doc
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May 31st, 2012 at 3:44:55 PM permalink
Quote: rxwine

Quote:

A German 16-year-old has become the first person to solve a mathematical problem posed by Sir Isaac Newton more than 300 years ago.


I'm curious about how long it will take someone to find his error.
konceptum
konceptum
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May 31st, 2012 at 4:37:20 PM permalink
Quote: AcesAndEights

This is stupid. The mathematical part of card counting is easy. It's everything else that is hard, and I'm guessing the kid's social skills aren't in the same realm as his math skills.


That's why the number 3 is in question marks. Figure out the hard part, and the profit is easy to come by.

But, ultimately, I figured more people would recognize the meme. I was wrong.
ewjones080
ewjones080
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May 31st, 2012 at 4:52:34 PM permalink
There's a Nobel Prize in Mathematics, right? Cause this kid should get it. Or the Fields Medal. And when he gets his Ph.D. in two years he'll probably get an awesome job in whatever national defense program Germany has.
WongBo
WongBo
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May 31st, 2012 at 5:24:25 PM permalink
The kid came in second in the competition...
In a bet, there is a fool and a thief. - Proverb.
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