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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: 90,605

Re: Cool Function

Hi pisquared;

What did you graph it with?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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: 90,605

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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: 90,605

Re: Cool Function

Hi;

Try geogebra.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,657

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: 7,552

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: 90,605

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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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: 90,605

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#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: 112
Website

Re: Cool Function

pisquared wrote:

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

Hi pisquared,

You are so sick! Me too!


womans_body.png

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,605

Re: Cool Function

Hi;

Looks like a hamburger! A delicious one!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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

benice
Member
Registered: 2010-06-10
Posts: 112
Website

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.

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,605

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

#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: 90,605

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Online

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

benice
Member
Registered: 2010-06-10
Posts: 112
Website

Re: Cool Function

pisquared wrote:

Hey benice,
Wow! What programme did you use?

UDAV (universal data array visualization)

It's free!

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