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#26 2006-01-07 22:20:49

szk_kei
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Re: Integral relationship

>

krassi_holmz wrote:

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

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http://www.freewebs.com/keiichi_suzuki/math/sekibun0.html

 

#27 2006-01-07 22:22:43

krassi_holmz
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Re: Integral relationship

I'll visit this... now


IPBLE:  Increasing Performance By Lowering Expectations.
 

#28 2006-01-07 22:26:30

krassi_holmz
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Re: Integral relationship

Cool. So I was right!


IPBLE:  Increasing Performance By Lowering Expectations.
 

#29 2006-01-07 22:29:38

szk_kei
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Re: Integral relationship

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

 

#30 2006-01-07 22:36:16

krassi_holmz
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Re: Integral relationship

Yes, it's just a matter of viewpoint.


IPBLE:  Increasing Performance By Lowering Expectations.
 

#31 2006-01-07 22:40:52

szk_kei
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Re: Integral relationship

krassi_holmz wrote:

Yes, it's just a matter of viewpoint.

Thank you

 

#32 2006-01-08 00:24:27

szk_kei
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Re: Integral relationship

Good night

 

#33 2006-01-21 00:09:57

szk_kei
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Re: Integral relationship

The story behind the integral relationship

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

Click Bedroom(Profile, etc)

 

#34 2006-01-31 00:43:01

szk_kei
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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.

 

#35 2006-01-31 23:57:59

szk_kei
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Re: Integral relationship

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

 

#36 2006-02-05 18:15:15

krassi_holmz
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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 (2006-02-05 18:17:11)


IPBLE:  Increasing Performance By Lowering Expectations.
 

#37 2006-04-10 23:01:09

szk_kei
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Re: Integral relationship

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

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

 

#38 2006-04-11 07:41:30

MathsIsFun
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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
 

#39 2006-04-11 22:42:03

szk_kei
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Re: Integral relationship

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

 

#40 2006-04-11 23:28:52

George,Y
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Re: Integral relationship

Cool tool, man. cool


X'(y-Xβ)=0
 

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