Integral relationship

krassi_holmz · 2006-01-06 23:26:30

Cool. So I was right!

szk_kei · 2006-01-06 23:29:38

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

krassi_holmz · 2006-01-06 23:36:16

Yes, it's just a matter of viewpoint.

szk_kei · 2006-01-06 23:40:52

krassi_holmz wrote:

Yes, it's just a matter of viewpoint.

Thank you

szk_kei · 2006-01-07 01:24:27

Good night

szk_kei · 2006-01-20 01:09:57

The story behind the integral relationship

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

Click Bedroom(Profile, etc)

szk_kei · 2006-01-30 01:43:01

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.

szk_kei · 2006-01-31 00:57:59

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

krassi_holmz · 2006-02-04 19:15:15

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)

szk_kei · 2006-04-10 01:01:09

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

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

MathsIsFun · 2006-04-10 09:41:30

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?

szk_kei · 2006-04-11 00:42:03

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

George,Y · 2006-04-11 01:28:52

Cool tool, man.

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