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## #1 Re: This is Cool » Integral relationship » 2006-04-11 00:42:03

I feel so grateful to you for giving me advice.

## #2 Re: This is Cool » Integral relationship » 2006-04-10 01:01:09

I have removed a message to install a Japanese language pack.

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

## #3 Re: This is Cool » Integral relationship » 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.

## #4 Re: This is Cool » Integral relationship » 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.

## #5 Re: This is Cool » Integral relationship » 2006-01-20 01:09:57

The story behind the integral relationship

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

Click Bedroom(Profile, etc)

Good night

## #7 Re: This is Cool » Integral relationship » 2006-01-06 23:40:52

krassi_holmz wrote:

Yes, it's just a matter of viewpoint.

Thank you

## #8 Re: This is Cool » Integral relationship » 2006-01-06 23:29:38

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

## #9 Re: This is Cool » Integral relationship » 2006-01-06 23:20:49

>

krassi_holmz wrote:

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

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

## #10 Re: This is Cool » Integral relationship » 2005-12-28 20:46:35

>Looks good, szk_kei, though I haven't checked if it is right or not.

Thank you

## #11 Re: This is Cool » Integral relationship » 2005-12-27 12:50:25

Can you see the full explanation of integral relation and property of laurent expansion with an acrobat reader.

## #12 Re: This is Cool » Integral relationship » 2005-12-01 12:54:03

Can you see the full explanation of integral relation and property of laurent expansion with an acrobat reader.

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

## #13 Re: This is Cool » Integral relationship » 2005-11-17 02:46:11

There are some topics in my site.

Taylor Series.
What is the necessary and sufficient condition for the intervals of n of  the degree as expressed below ?
f(x)=A0 + An(x-a)^n + A2n(x-a)^2n + A3n(x-a)^3n + A4n(x-a)^4n + +

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

## #14 Re: This is Cool » Integral relationship » 2005-11-14 01:25:54

I'm not mathematician.
I'm working for a manufacturer.

## #15 Re: This is Cool » Integral relationship » 2005-11-13 23:42:26

My name is Keiichi Suzuki.
I'm a 48-year-old male.
I'm a Japanese.

I publish online mathematics created by myself,
including arithmetic (mathematics) for children.
http://www.freewebs.com/keiichi_suzuki/

My site is listed in
http://dir.yahoo.com/Science/Mathematics/Calculus/

## #16 Re: This is Cool » Integral relationship » 2005-11-10 00:24:01

Your definition is monotone increasing function passing through the origin and  differentiable.
My definition is only differentiable.

## #17 Re: This is Cool » Integral relationship » 2005-11-09 00:57:06

When I show an expression without proof, they say always "It can never hold".
When I show an expression with proof, someone says "It is only an application of integration by parts",
someone says "It is simple and beautiful".

## #18 Re: This is Cool » Integral relationship » 2005-11-07 22:33:14

y=f(x):differentiable

(xy)'=y+x(dy/dx)
xy+C=∫ydx + ∫x(dy/dx)dx
=∫y dx + ∫x dy

If you want to sea its detail, please visit my site http://www.freewebs.com/keiichi_suzuki/
->[The Study (Mathematics created by myself)]

## #19 This is Cool » Integral relationship » 2005-11-07 00:15:59

szk_kei
Replies: 39

Relationship between the integral of the function and
the integral of its inverse function
INTGR(y)dx + INTGR(x)dy = xy + C

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

## #20 Re: Introductions » Hi everyone » 2005-11-06 16:27:12

I live in Yamagata Prefecture, Japan.
I work for a certain manufacturer as a system engineer and etc.

## #21 Introductions » Hi everyone » 2005-11-04 21:04:20

szk_kei
Replies: 9

My name is Keiichi Suzuki.
I'm a 48-year-old male.
I'm a Japanese.

I publish online mathematics created by myself,
including arithmetic (mathematics) for children.
http://www.freewebs.com/keiichi_suzuki/

My site is listed in
http://dir.yahoo.com/Science/Mathematics/Calculus/