Tetration Forum - Literature for x^x and Sophomore's Dream

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(03/04/2010 09:36 PM)Ztolk Wrote: [ -> ]I have another method with some interesting results that I'm writing up in a paper.
Any ideas where to submit?

American Mathematical Monthly? Or something similar.

Quote:in fact i believe the extention of Sophomore's dream is more important and relevant to tetration than x^x is !!

Can you explain why?

Also, if anyone's interested, I found some papers:

http://projecteuclid.org/euclid.rmjm/1181072076

http://projecteuclid.org/euclid.rmjm/1250127221

Does anyone know where I can find "Solving for the Analytic Piecewise Extension of Tetration and the Superlogarithm" by Robbins? The version stored on itgo.com doesn't seem to work for me.

(03/18/2010 06:48 PM)Ztolk Wrote: [ -> ]Does anyone know where I can find "Solving for the Analytic Piecewise Extension of Tetration and the Superlogarithm" by Robbins? The version stored on itgo.com doesn't seem to work for me.

new site of tetration -> http://math.eretrandre.org/tetrationforu...hp?tid=425

(03/18/2010 11:25 PM)nuninho1980 Wrote: [ -> ]
(03/18/2010 06:48 PM)Ztolk Wrote: [ -> ]Does anyone know where I can find "Solving for the Analytic Piecewise Extension of Tetration and the Superlogarithm" by Robbins? The version stored on itgo.com doesn't seem to work for me.

new site of tetration -> http://math.eretrandre.org/tetrationforu...hp?tid=425

Thanks. Still not able to access the paper though.

http://tetration.co.cc/tetra/pdf/Tetrati...obbins.pdf does not work for me.

(03/19/2010 02:19 AM)Ztolk Wrote: [ -> ]Thanks. Still not able to access the paper though.

http://tetration.co.cc/tetra/pdf/Tetrati...obbins.pdf does not work for me.

you can contact to email Andrew Robbins. $Wink$

(03/02/2010 02:33 AM)Ztolk Wrote: [ -> ]I'm interested in the second order tetration function, x^x. The integral from 0 to 1 of this function is called the Sophomore's Dream. I was wondering which papers, journals, etc cover either the function or its integral.
...
Does anyone have some papers in mind, or know which journal to browse through?

Hello !
Through the next link, two papers related with the x^x function and its integral (not high level maths. For general public) :
"Sophomore's Dream Function".
"Zéro puissance zéro" (for French readers)
http://www.scribd.com/JJacquelin/documents
.

(10/19/2010 10:47 AM)JJacquelin Wrote: [ -> ]
(03/02/2010 02:33 AM)Ztolk Wrote: [ -> ]I'm interested in the second order tetration function, x^x. The integral from 0 to 1 of this function is called the Sophomore's Dream. I was wondering which papers, journals, etc cover either the function or its integral.
...
Does anyone have some papers in mind, or know which journal to browse through?

Hello !
Through the next link, two papers related with the x^x function and its integral (not high level maths. For general public) :
"Sophomore's Dream Function".
"Zéro puissance zéro" (for French readers)
http://www.scribd.com/JJacquelin/documents
.

Hi - thanks for the link. I just wanted to read "sophomores dream" - but unfortunately your webhoster( scribd) does a big line at the bottom of the page which is irregularly opening and closing so I couldn't concentrate after two pages (still my nerves are vibrating...:-( ). Please upload it here to the forum, for instance as a pdf-file. It has a nice intro and I would like to go more into it.
(you can do it for instance as an attachment with a new msg)

Regards-

Gottfried

(10/19/2010 11:45 AM)Gottfried Wrote: [ -> ]I just wanted to read "sophomores dream" - but unfortunately your webhoster( scribd) does a big line at the bottom of the page which is irregularly opening and closing so I couldn't concentrate after two pages (still my nerves are vibrating...:-( ).
...

For goodness' sake ! Don't have an heart attack !
Well, I will have to check what is the touble with Scribd.
Regards
JJ.
Attached document : Sophomores Dream Function.pdf

(10/19/2010 12:42 PM)JJacquelin Wrote: [ -> ]
(10/19/2010 11:45 AM)Gottfried Wrote: [ -> ]I just wanted to read "sophomores dream" - but unfortunately your webhoster( scribd) does a big line at the bottom of the page which is irregularly opening and closing so I couldn't concentrate after two pages (still my nerves are vibrating...:-( ).
...
For goodness' sake ! Don't have an heart attack !
Well, I will have to check what is the touble with Scribd.
Regards
JJ.
Attached document : Sophomores Dream Function.pdf

Very nice! I love this explorative approach. It must have been much, perhaps exhaustingly, work, I assume, to invent and test all those identities?

Thanks for loading it up - $Smile$

Gottfried

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