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#1 2010-08-16 19:18:12
- rogerkitkit
- Member
- Registered: 2009-08-02
- Posts: 11
problem about definition of integration
why the picture is correct?
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#2 2010-08-18 01:11:39
- rogerkitkit
- Member
- Registered: 2009-08-02
- Posts: 11
Re: problem about definition of integration
can anyone helps?
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#3 2010-08-18 02:27:20
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: problem about definition of integration
Hi rogerkitkit;
Is this what your drawing says?
Where did you get that from?
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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#4 2010-08-24 16:52:23
- rogerkitkit
- Member
- Registered: 2009-08-02
- Posts: 11
Re: problem about definition of integration
Oh....that's 'n' not 'h'
not 'h' at all
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#5 2010-08-24 17:55:35
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: problem about definition of integration
Hi rogerkitkit;
This is what it looks like?
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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#6 2010-08-24 18:19:12
- rogerkitkit
- Member
- Registered: 2009-08-02
- Posts: 11
Re: problem about definition of integration
ya....that's it!
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#7 2010-08-24 20:14:21
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: problem about definition of integration
Hi rogerkitkit;
That relationship is correct. It appears it is not the definition of an integration. It is the same principle 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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#8 2010-09-08 17:49:07
- George,Y
- Member
- Registered: 2006-03-12
- Posts: 1,379
Re: problem about definition of integration
why is it correct though?
X'(y-Xβ)=0
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#9 2010-09-08 17:55:32
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: problem about definition of integration
That is correct because it is the trapezoidal rule in disguise. All that formula is saying is that it you stuff an infinite number of trapezoids underneath some smooth curve you will exactly determine the area.
It is not the definition of definite integration 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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