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#1 2011-08-25 20:04:36

pisquared
Member
Registered: 2011-08-25
Posts: 10

Cool Function

I've found a cool function: -|x|^(-|x|)
This function goes in waves over and under the point 0 of the X acces. If you go towards the negative or positive part of the X access the waves get smaller and it looks like in the end it'll be a straight line but it will only get smaller and smaller.


How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

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#2 2011-08-25 20:29:02

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi pisquared;

What did you graph it with?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2011-08-25 22:42:05

pisquared
Member
Registered: 2011-08-25
Posts: 10

Re: Cool Function

I sketched it in a notebook with a pen.
You probably expected me to tell you a name of a computer programme lol...


How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

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#4 2011-08-25 22:48:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi;

Hand methods can be misleading because they cannot sample enough points.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#5 2011-08-25 23:15:04

pisquared
Member
Registered: 2011-08-25
Posts: 10

Re: Cool Function

I know, but I couldn't find a programme that doesn't cost money or actually works with the small details.
Maybe you can recommend one?

Last edited by pisquared (2011-08-25 23:16:19)


How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

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#6 2011-08-25 23:26:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi;

Try geogebra.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#7 2011-08-25 23:52:43

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,532

Re: Cool Function

here is the graph that wolfram gives:
http://www.wolframalpha.com/input/?i=pl … %28x%29%29

Last edited by anonimnystefy (2011-08-25 23:54:30)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#8 2011-08-26 00:23:39

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,535

Re: Cool Function

Plot of -abs(x)^(-abs(x))

Or put -abs(x)^(-abs(x))-y into: Equation Grapher


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

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#9 2011-08-26 01:16:59

pisquared
Member
Registered: 2011-08-25
Posts: 10

Re: Cool Function

Thanks alot everyone!


How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

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#10 2011-08-26 04:39:50

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi pisquared;

That function is actually rather well behaved. It is easy to numerically integrate it.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#11 2011-08-26 13:01:42

reconsideryouranswer
Member
Registered: 2011-05-11
Posts: 172

Re: Cool Function

pisquared wrote:

"...over and under the point 0 of the

X acces
.
If you go towards the negative or positive part of the
X access
..."


Signature line:

I wish a had a more interesting signature line.

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#12 2011-08-26 16:16:19

pisquared
Member
Registered: 2011-08-25
Posts: 10

Re: Cool Function

Sorry, I live in Israel and barely know English.


How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

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#13 2011-08-26 17:01:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi pisquared;

That is okay, your English is rather good.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#14 2011-08-27 00:22:21

pisquared
Member
Registered: 2011-08-25
Posts: 10

Re: Cool Function

I'm glad you think that smile


How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

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#15 2011-08-28 08:50:54

benice
Member
Registered: 2010-06-10
Posts: 110

Re: Cool Function

pisquared wrote:

I've found a cool function: -|x|^(-|x|)

Hi pisquared,

You are so sick! Me too!


womans_body.png


My Gallery of Math Art: benice equation

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#16 2011-08-28 08:52:48

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi;

Looks like a hamburger! A delicious one!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#17 2011-08-28 09:31:32

benice
Member
Registered: 2010-06-10
Posts: 110

Re: Cool Function

bobbym wrote:

Hi;

Looks like a hamburger! A delicious one!

Hi,

The boundary curve is a superellipse: (x/4)^4 + (y/3)^4 = 1.


My Gallery of Math Art: benice equation

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#18 2011-08-28 09:39:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi benice;

Thanks for the info. A superellipse? I never heard of that.
What is it?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#19 2011-08-28 15:10:16

pisquared
Member
Registered: 2011-08-25
Posts: 10

Re: Cool Function

Hey benice,
Wow! What programme did you use?

and bobbym,
I agree, it looks like a pink delicious hamburger!


How many times can you subtract 7 from 83, and what is left afterwards?  You can subtract it as many times as you want, and it leaves 76 every time.  ~Author Unknown

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#20 2011-08-28 18:01:49

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,776

Re: Cool Function

Hi pisquared;

Yes, perhaps a little on the rare side but there is an easy fix for that!

Hi benice;

Did not notice the link to the superellipse page.
Thanks for providing that.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#21 2011-08-29 10:04:26

benice
Member
Registered: 2010-06-10
Posts: 110

Re: Cool Function

pisquared wrote:

Hey benice,
Wow! What programme did you use?

UDAV (universal data array visualization)

It's free!


My Gallery of Math Art: benice equation

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