Math Is Fun Forum
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#26 2012-09-06 14:50:10
Re: Python!
I also use Python 
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#27 2013-02-23 18:32:34
- LeoC123
- Member
- Registered: 2013-02-23
- Posts: 3
Re: Python!
Yeah, I'm currently using Python because it is so much cleaner in style. It really just teaches you the concepts of computer science without really having to focus too much on syntax 
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#28 2013-02-24 02:17:19
Re: Python!
I do not understand the program at podt #1
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#29 2013-02-24 05:22:15
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Hi;
He is making use of a geometric probability to evaluate pi.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#30 2013-02-24 07:26:10
- ShivamS
- Member
- Registered: 2011-02-07
- Posts: 3,648
Re: Python!
I do not tend to use Python at all anymore.
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#31 2013-02-24 13:49:16
Re: Python!
Hi bobbym,
I don't understand at all.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#32 2013-02-24 20:42:10
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Hi Agnishom;
You are picking random numbers in the range 0 - 1 for x and y, yes?
Do you follow so far, I can not upload a drawing so I will talk you through.
Last edited by bobbym (2013-02-24 21:30:01)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#33 2013-02-25 00:23:37
Re: Python!
Yes, two random numbers b/w 0 & 1
Then they are checking how many of them satisfy x^2 + y^2 < 1
So?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#34 2013-02-25 00:27:41
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
You can pair the x's and y's to make points. They would all be inside of a 1 x 1 rectangle in the first quadrant. Do you agree?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#35 2013-02-25 00:33:14
Re: Python!
Ya.. All the points within a radius of 1 in the 1st quadrant
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#36 2013-02-25 00:36:46
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Not yet. You are jumping ahead. If we generate x's from 0 to 1 and y's from 0 to 1 and form ordered pairs and then plot them we would get something like this:
Last edited by bobbym (2013-02-25 00:37:05)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#37 2013-02-25 00:39:11
Re: Python!
And then we check how many of them are within a radius of 1 ?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#38 2013-02-25 00:43:11
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Yes, and form the ratio
if you throw a lot of points it will approximate π/4.
This is called "Monte Carlo Simulation" and is a very powerful technique.
Last edited by bobbym (2013-02-25 00:57:14)
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#39 2013-02-25 02:01:23
Re: Python!
Wonderful!
However that would hugely depend on the capability to generate random numbers
I think it would be a better idea to try this
...
for x in xrange(0.1, 1.0, 0.01):
for y in xrange(0.1, 1.0, 0.01):
.....So that the points are not taken at random
Last edited by Agnishom (2013-02-25 02:05:29)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#40 2013-02-25 04:26:22
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Hi;
The randomness is very important. It is the whole key to the algorithm.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#41 2013-02-25 07:12:26
Re: Python!
Why??? What If we try all the possible points?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#42 2013-02-25 07:15:59
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
It would take too many to try them all there are an infinite number. The random generator samples the points that your scheme might miss.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#43 2013-03-01 22:53:45
Re: Python!
I will see which is better .... I shall do the experiment
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#44 2013-03-02 07:12:29
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
It is easy to design areas that a uniform spread of points such as yours might miss.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#45 2013-03-02 16:04:30
Re: Python!
I did it.
You seem to be correct........
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
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#46 2013-03-02 16:17:31
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Hi;
That was an interesting idea though.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#47 2013-03-02 23:02:16
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Python!
Hi bobbym
Is it just me or do the points in the plot in post #36 look a little denser near the line x=1/2?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#48 2013-03-02 23:05:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Yes, that was when we could not upload any pictures and I had to use one from the internet. Unfortunately I chose one from a math forum. The guy who wrote the routine did a bad job and the points are not randomly placed.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#49 2013-03-02 23:07:48
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Python!
Maybe they are randomly placed but with a different distribution.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
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#50 2013-03-02 23:09:04
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Python!
Nah, his method of generating random numbers was not good.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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