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#26 2006-01-06 23:20:49

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

>

krassi_holmz wrote:

And we can form something like that for definite integrals:
>

Please visit below
http://www.freewebs.com/keiichi_suzuki/math/sekibun0.html

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#27 2006-01-06 23:22:43

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Integral relationship

I'll visit this... now


IPBLE:  Increasing Performance By Lowering Expectations.

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#28 2006-01-06 23:26:30

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Integral relationship

Cool. So I was right!


IPBLE:  Increasing Performance By Lowering Expectations.

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#29 2006-01-06 23:29:38

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

This formula is unnatural from a commonsense standpoint, but this is natural if we look at this carefully.

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#30 2006-01-06 23:36:16

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Integral relationship

Yes, it's just a matter of viewpoint.


IPBLE:  Increasing Performance By Lowering Expectations.

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#31 2006-01-06 23:40:52

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

krassi_holmz wrote:

Yes, it's just a matter of viewpoint.

Thank you

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#32 2006-01-07 01:24:27

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

Good night

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#33 2006-01-20 01:09:57

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

The story behind the integral relationship

Please visit below
http://www.freewebs.com/keiichi_suzuki/

Click Bedroom(Profile, etc)

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#34 2006-01-30 01:43:01

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

Let x=x(t), y=y(t), z=z(t)
then
xyz = ∫xy(dz/dt)dt + ∫yz(dx/dt)dt + ∫zx(dy/dt)dt
       = ∫xydz + ∫yzdx + ∫zxdy

xyz means difference of volume of rectangular parallelepipeds.
I do not know what  ∫xydz , ∫yzdx and ∫zxdy means.

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#35 2006-01-31 00:57:59

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

The above expression was posted to a forum of my homepage from some person.
I deleted the message in my error.

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#36 2006-02-04 19:15:15

krassi_holmz
Real Member
Registered: 2005-12-02
Posts: 1,908

Re: Integral relationship

Good. I guess we can generalize this result for many functions.
Let f_1=f_1(t), f_2=f_2(t), ... ,f_n=f_n(t).
then

Last edited by krassi_holmz (2006-02-04 19:17:11)


IPBLE:  Increasing Performance By Lowering Expectations.

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#37 2006-04-10 01:01:09

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

I have removed a message to install a Japanese language pack.
Please visit my site.

http://www.freewebs.com/keiichi_suzuki/

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#38 2006-04-10 09:41:30

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,529

Re: Integral relationship

Your site is coming along well Keiichi Suzuki. I see you have links to Math Forum and others ... why not a link to this forum?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#39 2006-04-11 00:42:03

szk_kei
Member
Registered: 2005-11-04
Posts: 21

Re: Integral relationship

I feel so grateful to you for giving me advice.
Now I have put a link to your site from mine.

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#40 2006-04-11 01:28:52

George,Y
Member
Registered: 2006-03-12
Posts: 1,306

Re: Integral relationship

Cool tool, man. cool


X'(y-Xβ)=0

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