Math Is Fun Forum
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#51 2013-07-23 15:14:20
Re: An Integral and the Computer
>>> integrate(f, 0, (3.141592653589793/4),4)
0.12645766198987884Sweet Jesus, its still good enough
'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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#52 2013-07-23 15:17:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
Now for 5?
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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#53 2013-07-23 15:29:58
Re: An Integral and the Computer
>>> for i in xrange(5,11):
print integrate(f, 0, (3.141592653589793/4),i)
0.125091274611
0.125020215482
0.125018499911
0.125018481816
0.12501848174
0.12501848174
'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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#54 2013-07-23 15:33:32
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
Hi;
You can empirically see that after n = 6 you have the 4 significant digits you require so that is the answer.
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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#55 2013-07-23 15:35:16
Re: An Integral and the Computer
Yes. That is what I was planning to do.
'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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#56 2013-07-23 15:38:17
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
When you get time check this page because your code is slightly off. There are implementations there that will help,
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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#57 2013-07-23 15:46:56
Re: An Integral and the Computer
Why should it be off?
Thats just the formula...
'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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#58 2013-07-23 15:54:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
You are probably out of alignment.
Try your formula out on this
f(x) = x^9 between 0 and 10 with 100000 intervals.
You should get 1000000000.75
After you do that I will show you one last thing that is really cute.
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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#59 2013-07-23 16:00:26
Re: An Integral and the Computer
Yes. The correct answer should be 10^9.
Whats wrong with my code?
'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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#60 2013-07-23 16:03:24
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
What did you get?
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.
Offline
#61 2013-07-23 16:11:10
Re: An Integral and the Computer
1000000000.7500005
'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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#62 2013-07-23 16:26:05
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
That is correct!
This is a plot of what the trapezoid rule is doing for n = 10:
Notice it sometimes went over and sometimes under. The second trapezoid is almost perfect.
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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#63 2013-07-23 16:54:31
Re: An Integral and the Computer
What about post 58?
OK, see you later, gotta go to school
Last edited by Agnishom (2013-07-23 17:06:32)
'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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#64 2013-07-23 17:15:20
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
Have a good day at school and study hard.
Post #62 was the cute thing. The program not only does the calculation but shows graphically what it did.
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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#65 2013-07-24 00:39:49
Re: An Integral and the Computer
Thanks. School was good.
Why is that error occuring?
'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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#66 2013-07-24 00:41:44
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
What error? I do not understand.
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.
Offline
#67 2013-07-24 00:46:06
Re: An Integral and the Computer
Read post 58 to 61
'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.
Offline
#68 2013-07-24 00:47:39
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
Hi;
It is possible there is a small problem with your code ( ever seen any code without bugs ?). But for the purposes of this discussion it worked well enough so I am happy.
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.
Offline
#69 2013-07-24 00:56:57
Re: An Integral and the Computer
Ofcourse there is some problem. Tell me where it is
'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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#70 2013-07-24 02:42:27
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
What do you get for this problem here with n = 3
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.
Offline
#71 2013-07-24 03:38:21
Re: An Integral and the Computer
Which problem? I am getting confused..
'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.
Offline
#72 2013-07-24 03:39:51
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
The one that guy from India with the beard posted.
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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#73 2013-07-24 04:56:35
Re: An Integral and the Computer
>>> for n in xrange(1,21):
integrate(f, 0, (3.141592653589793/4),n)
0.3926990816987245
0.19649262597124922
0.13907218235606786
0.12645766198987884
0.12509127461149278
0.12502021548220082
0.12501849991109948
0.12501848181618283
0.12501848174029692
0.12501848174018745
0.12501848174018715
0.12501848174018718
0.12501848174018754
0.12501848174018773
0.12501848174018718
0.12501848174018768
0.12501848174018726
0.12501848174018754
0.12501848174018723
0.1250184817401873'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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#74 2013-07-24 05:05:47
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: An Integral and the Computer
I am getting for n = 3, 0.15605651313635455
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.
Offline
#75 2013-07-24 05:08:52
Re: An Integral and the Computer
Why?
In that case, don't you think mine is better!
'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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