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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:
>

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: 1,905

### 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: 1,905

### 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: 1,905

### 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

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

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: 1,905

### 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
Registered: 2005-01-21
Posts: 7,660

### 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

Cool tool, man.

X'(y-Xβ)=0

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