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[[zh:Wikipedia:%E6%B2%99%E7%9B%92]]
{{Please leave this line alone (sandbox heading)}}<!--

* Welcome to the sandbox! *
''The sandbox is for editing experiments. Feel free to try out [[Wikipedia:How to edit a page|new and exciting formatting]] here, where no one will yell at your for messing up articles. ;)''
* Please leave this part alone *
----
* The page is cleared regularly *
<html>
* Feel free to try your editing skills below *
HTML test
■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-->

<p><a href="http://www.google.com">Google</a><br />
&lt;a href="http://www.google.com"&gt;Google&lt;/a&gt; <strong>strong</strong></p>
<hr />
</html>
----
my playing around

*a&#771;
*ø&#771;
*&oslash;&#771;
*&#593;&#771;

----
Try editing this page: [[Wikipedia:Sandbox/???¶]]
Foo? Bar!
ì?èø?ýáíé
[[ì?èø?ýáíé]]
[[swearing]]

[[an Example Page]]

'''Oh no! Malformed formatting! Run!!!''
is it over?'' yes'''

'''Oh no! Malformed formatting! Run!!!'' is it over?'' yes'''

space
[[fun]]
'''bold1'''
<b>bold2</b>
&#x109;u-&#x109;u-u
space

<pre>
who is it
[[fun]]
'''bold1'''
<b>bold2</b>
&#x109;u-&#x109;u-uf
pre
</pre>

<pre>
<nowiki>
pre nowiki
[[fun]]
'''bold1'''
<b>bold2</b>
&#x109;u-&#x109;u-u
nowiki pre
</nowiki>
</pre>

<nowiki>
nowiki
[[fun]]
'''bold1'''
<b>bold2</b>
&#x109;u-&#x109;u-u
nowiki
</nowiki>

<nowiki>
space nowiki
[[fun]]
'''bold1'''
<b>bold2</b>
&#x109;u-&#x109;u-u
nowiki space
</nowiki>

----

simple cases:
''italics''
'''bold'''
multiple:
''italics'' plain ''italics''
'''bold''' plain '''bold'''
''italics'' plain '''bold''' plain ''italics''

embedding:
''italics '''bold italics''' italics''
'''bold ''bold italics'' bold'''

''italics '''bi''' it '''bi''' it''

embedding and touching
'''''bold italics'''''
'''''bold italics''' italics''
'''''bold italics'' bold'''
''italics '''bold italics'''''
'''bold ''bold italics'''''

'''Well, the talk page controversies get people excited about Wikipedia. Would you rather that they not be excited? A controversy-less wiki would be boring. Maybe the controversy actually brings ''more'' people to Wikipedia.'''


'''USS ''Ohio'' (SSBN 726)''' is a ballistic missile
submarine...

''(Note that the '''Village''' of Babylon is contained within the '''Town''' of Babylon.)''

''test

''test's''

''tests'''

magic '''tests'''' and stuff

----

[[sandbox]]

== Header ==
Header

== Subheader ==

Subheader = = with a blank line above it.

== Header 2 ==
Header 2 = = with no blank line above it.

=== Header 3 ===
Header 3 = = = and no blank line above.

==== Header 4 ====
Text

===== Header 5 =====
Text

----

testing watchbug 2

The Fermat?s little theorem for x = 2, obtained by another way


J. I. Casaubon
Universidad de Belgrano y CONICET
Villanueva 1324
1426 Buenos Aires

Argentina
jic@ub.edu.ar


ABSTRACT

The Fermat?s little theorem is proved for a particular case (x = 2) using the
fixed points of a 1D-map of the Nonlinear Science.

We want to prove:

p prime, p / (2^p-2)

Let the ?tent? map:

X<sub>n+1</sub> = 1 ? 2 /Xn/ n = 0, 1, 2, 3, 4, ... /a/=ABS a

Xn in the interval [-1,1].

The fixed points are -1 and 1/3.

For the p-iterated map, with p prime, there are 2^p fixed points which are
solution of:

X = 1 +- 2 +- 4 +- ... +- 2^pX where +- is + or -

But two of these fixed points are ?1 and 1/3. The others are not fixed
points of the m-iterated map, 1< m < p, and mk = p, because p is prime.

So, we have (2^p ? 2) fixed points, for disjoin orbits of period p.

Then (2^p ? 2)/p is a natural number, (the number of orbits of period p)

So:

p /(2^p ? 2)

QED

Take this into account: numerical calculations must fail for great p due to
round-off of the calculator machine or the computer.

made a change
Acknowledgments
To G. B. Mindlin, M. Zimmermann, D. Wisniacki, D. Eguía and R. Fuchelman

:1
::2
:::3
::::4
:::::5
::::::6
:::::::7
::::::::8
:::::::::9
::::::::::10

mep

Tessst

<b>[[All your base are belong to us|All your sandbox are belong to us!!!]]</b>

What you say?!

You have no chance to survive make your time.

Ha ha ha.

----
*http://www.wikipedia.com/wiki/SandBox
*http://www.wikipedia.com/wiki/SandBox"
*http://www.wikipedia.com/wiki/SandBox.
*http://www.wikipedia.com/wiki/SandBox,
*http://www.wikipedia.com/wiki/SandBox:
*http://www.wikipedia.com/wiki/SandBox;
*http://www.wikipedia.com/wiki/SandBox!
*http://www.wikipedia.com/wiki/SandBox?
*http://www.wikipedia.com/wiki/SandBox)

[[Wikipedia:Sandbox/doo de dah]]

<table border="1">
<tr><td>
Test table
</td>
<td>&nbsp;</td>
</tr>
</table>

wiki waa waa test

Hello Adam Fischer!

----

==Wikipedians who spend too much time on the Wiki==
* Now accepting nominations... who's first? Seriously... come on....

See [[Wikipedia:Confessed Wikipediholics]]

----
Why did the chicken cross the road?

: Um, don't know. Why did the chicken cross the road?

To get to the other side. (feel free to replace this "classic" punchline with a funnier one)

----

[[Pi to 10,000 places]]

----

<div style="float:left; width:600px; border:1px; border-style:solid; padding:2px; text-align:left"> [[Image:Forgard2.jpeg]]<br>
Only of course once they've taken the trees away, there won't BE any more snow... Doh!

Only of course once they've taken the trees away, there won't BE any more snow... Doh!

*'''Only of course once they've taken the trees away''', there won't BE any more snow... Doh! blah blah
<BR>
Fruit tree propagation

''Fruit tree propagation''
</div>

------------
<hw>Abaft</hw> (&adot;*b&adot;ft"), <pos><i>prep.</i></pos> [Pref. <i>a-</i> on + OE. <i>baft</i>, <i>baften</i>, <i>biaften</i>, AS. <i>be&aelig;ftan</i>; <i>be</i> by + <i>&aelig;ftan</i> behind. See <u>After</u>, <u>Aft</u>, <u>By</u>.] <i>(Naut.)</i> <def>Behind; toward the stern from; as, <i>abaft</i> the wheelhouse.</def>

<col><b>Abaft the beam</b></col>. <cd>See under <u>Beam</u>.</cd>
-------------
<hw>Abalone</hw> (&abreve;b`&adot;*l&omacr;"n&esl;), <pos><i>n.</i></pos> <i>(Zo&ouml;l.)</i> <def>A univalve mollusk of the genus <i>Haliotis</i>. The shell is lined with mother-of-pearl, and used for ornamental purposes; the sea-ear. Several large species are found on the coast of California, clinging closely to the rocks.</def>
----------------

<math xmlns="&mathml;">
<mfrac>
<mi>a</mi>
<mi>b</mi>
</mfrac>
</math>
<br>
How the wiki handles mathML

Not at all as far as I can tell...

------------------
Testin capitals:
*[[Sandbox1]]
*[[sandbox1]]
----

Revision as of 20:50, 1 September 2020


The sandbox is for editing experiments. Feel free to try out new and exciting formatting here, where no one will yell at your for messing up articles. ;)


<html> HTML test

<a href="http://www.google.com">Google</a>
<a href="http://www.google.com">Google</a> strong


</html>


my playing around

  • ø̃
  • ø̃
  • ɑ̃

Try editing this page: Wikipedia:Sandbox/???¶ Foo? Bar! ì?èø?ýáíé ì?èø?ýáíé swearing

an Example Page

'Oh no! Malformed formatting! Run!!! is it over? yes'

Oh no! Malformed formatting! Run!!! is it over? yes

space

fun
bold1
bold2
ĉu-ĉu-u
space
who is it
[[fun]]
'''bold1'''
<b>bold2</b>
ĉu-ĉu-uf
pre

pre nowiki
[[fun]]
'''bold1'''
<b>bold2</b>
ĉu-ĉu-u
nowiki pre

nowiki [[fun]] '''bold1''' <b>bold2</b> ĉu-ĉu-u nowiki

 space nowiki
 [[fun]]
 '''bold1'''
 <b>bold2</b>
 ĉu-ĉu-u
 nowiki space
 

simple cases:

italics
bold

multiple:
italics plain italics
bold plain bold
italics plain bold plain italics
embedding:
italics bold italics italics
bold bold italics bold
italics bi it bi it
embedding and touching
bold italics
bold italics italics
bold italics bold
italics bold italics
bold bold italics

Well, the talk page controversies get people excited about Wikipedia. Would you rather that they not be excited? A controversy-less wiki would be boring. Maybe the controversy actually brings more people to Wikipedia.


USS Ohio (SSBN 726) is a ballistic missile submarine...

(Note that the Village of Babylon is contained within the Town of Babylon.)

test

test's

tests'

magic tests' and stuff


sandbox

Header

Subheader

Subheader = = with a blank line above it.

Header 2

Header 2 = = with no blank line above it.

Header 3

Header 3 = = = and no blank line above.

Header 4

Text

Header 5

Text


testing watchbug 2

The Fermat?s little theorem for x = 2, obtained by another way


J. I. Casaubon Universidad de Belgrano y CONICET Villanueva 1324 1426 Buenos Aires

Argentina jic@ub.edu.ar


ABSTRACT

The Fermat?s little theorem is proved for a particular case (x = 2) using the fixed points of a 1D-map of the Nonlinear Science.

We want to prove:

p prime, p / (2^p-2)

Let the ?tent? map:

Xn+1 = 1 ? 2 /Xn/ n = 0, 1, 2, 3, 4, ... /a/=ABS a

Xn in the interval [-1,1].

The fixed points are -1 and 1/3.

For the p-iterated map, with p prime, there are 2^p fixed points which are solution of:

X = 1 +- 2 +- 4 +- ... +- 2^pX where +- is + or -

But two of these fixed points are ?1 and 1/3. The others are not fixed points of the m-iterated map, 1< m < p, and mk = p, because p is prime.

So, we have (2^p ? 2) fixed points, for disjoin orbits of period p.

Then (2^p ? 2)/p is a natural number, (the number of orbits of period p)

So:

p /(2^p ? 2)

QED

Take this into account: numerical calculations must fail for great p due to round-off of the calculator machine or the computer.

made a change

Acknowledgments To G. B. Mindlin, M. Zimmermann, D. Wisniacki, D. Eguía and R. Fuchelman

1
2
3
4
5
6
7
8
9
10

mep

Tessst

All your sandbox are belong to us!!!

What you say?!

You have no chance to survive make your time.

Ha ha ha.


Wikipedia:Sandbox/doo de dah

Test table

 

wiki waa waa test

Hello Adam Fischer!


Wikipedians who spend too much time on the Wiki

  • Now accepting nominations... who's first? Seriously... come on....

See Wikipedia:Confessed Wikipediholics


Why did the chicken cross the road?

Um, don't know. Why did the chicken cross the road?

To get to the other side. (feel free to replace this "classic" punchline with a funnier one)


Pi to 10,000 places



Only of course once they've taken the trees away, there won't BE any more snow... Doh!

Only of course once they've taken the trees away, there won't BE any more snow... Doh!

  • Only of course once they've taken the trees away, there won't BE any more snow... Doh! blah blah


Fruit tree propagation

Fruit tree propagation


<hw>Abaft</hw> (&adot;*b&adot;ft"), <pos>prep.</pos> [Pref. a- on + OE. baft, baften, biaften, AS. beæftan; be by + æftan behind. See After, Aft, By.] (Naut.) <def>Behind; toward the stern from; as, abaft the wheelhouse.</def>

<col>Abaft the beam</col>. <cd>See under Beam.</cd>


<hw>Abalone</hw> (ăb`&adot;*lō"n&esl;), <pos>n.</pos> (Zoöl.) <def>A univalve mollusk of the genus Haliotis. The shell is lined with mother-of-pearl, and used for ornamental purposes; the sea-ear. Several large species are found on the coast of California, clinging closely to the rocks.</def>



How the wiki handles mathML

Not at all as far as I can tell...


Testin capitals: