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== Images ==
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<stepsectioncounter/>
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== File Creation Practice ==
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[[Media:New_submission.pdf|Click here to access the pdf file]].
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== Testing equation numbering ==
<wikitex>;
<wikitex>;
\begin{theorem}
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\begin{equation} \label{eq:1} A = B \end{equation}
We have $f \colon X \to Y$
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Here is a reference to equation \ref{eq:1}
\end{theorem}
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</wikitex>
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== Still testing equation numbering ==
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<wikitex>;
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\begin{equation}\label{test} C = D \end{equation}
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\ref{test}
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</wikitex>
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== Lists==
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<wikitex>;
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<ol style="list-tsyle-type:lower-roman>
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<li>Frog</li>
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</ol>
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$$ A \xrightarrow{f} B$$
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$--$
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</wikitex>
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{{beginthm|Theorem|\cite{Penrose&Whitehead&Zeeman1961}}}\label{thm:2.1}
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For every compact $m$--dimensional PL-manifold $M$ there exists a PL--embedding $ M \hookrightarrow \R^{2m}$.
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{{endthm}}
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{{beginrem|Remark}}
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For a good exposition of Theorem \ref{thm:2.1} see also \cite{Rourke&Sanderson1972a|p. 63}.
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{{endrem}}
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{{beginthm|Theorem|\cite{Whitney1944}}}\label{thm:2.2}
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For every closed m--dimensional $C^{\infty}$--manifold $M$ there exists a $C^{\infty}$--embedding $M \hookrightarrow \R^{2m}$.
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{{endthm}}
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{{beginrem|Remark}}
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For a more modern exposition see also \cite{Adachi1993|p. 67ff}.
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{{endrem}}
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\begin{theorem} \label{thm:1}
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We have $f \colon X \to Y$
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\end{theorem}
Reference \ref{test}
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Reference \ref{thm:1}
By Theorem
By Theorem
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== Section ==
== Section ==
<wikitex>;
<wikitex>;
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'''$\textup{CW}_0$'''
An [[map-eds:Manifold Atlas:Projects in the Atlas|inter-Wiki link]].
An [[map-eds:Manifold Atlas:Projects in the Atlas|inter-Wiki link]].
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Another <ref> Test1 </ref> [[map-eds:Manifold Atlas:Projects in the Atlas|inter-Wiki link]].
Another <ref> Test1 </ref> [[map-eds:Manifold Atlas:Projects in the Atlas|inter-Wiki link]].
</wikitex>
dfa<ref>Test2</ref>
dfa<ref>Test2</ref>
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</wikitex>
==Footnotes==
==Footnotes==
<references/>
<references/>
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==References==
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{{#RefList:}}

Latest revision as of 07:31, 15 October 2019

The sandbox is the page where you can experiment with the wiki syntax. Feel free to write nonsense or clear the page whenever you want.



Contents

[edit] 1 File Creation Practice

Click here to access the pdf file.

[edit] 2 Testing equation numbering

(1)A = B

Here is a reference to equation 1

[edit] 3 Still testing equation numbering

(2)C = D

2

[edit] 4 Lists

  1. Frog
\displaystyle  A \xrightarrow{f} B

--

Theorem 5.1 [Penrose&Whitehead&Zeeman1961]. For every compact $m$--dimensional PL-manifold $M$ there exists a PL--embedding $ M \hookrightarrow \R^{2m}$.

Remark 5.2. For a good exposition of Theorem 5.1 see also [Rourke&Sanderson1972a, p. 63].

Theorem 5.3 [Whitney1944]. For every closed m--dimensional $C^{\infty}$--manifold $M$ there exists a $C^{\infty}$--embedding $M \hookrightarrow \R^{2m}$.

Remark 5.4. For a more modern exposition see also [Adachi1993, p. 67ff].

Theorem 5.5. We have $f \colon X \to Y$

Reference 5.5

By Theorem

$\alpha$(1.2)

1.2

{{#addlabel: test}}

(3)$\alpha$eqtest


Theorem 5.6. Frog

3 \ref{eqtest}

Here is some text leading up to an equation

5.7. $$ A = B $$

Here is some more text after the equation to see how it looks.

Here is some text leading up to an equation $$ A = B $$ Here is some more text after the equation to see how it looks.

4k 8 12 16 20 24 28 32
order bP4k 22.7 25.31 26.127 29.511 210.2047.691 213.8191 214.16384.3617
k 1 2 3 4 5 6 7 8
Bk 1/6 1/30 1/42 1/30 5/66 691/2730 7/6 3617/510



Dim n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
order Θn 1 1 1 1 1 1 28 2 8 6 992 1 3 2 16256 2 16 16 523264 24
bPn+1 1 1 1 1 1 1 28 1 2 1 992 1 1 1 8128 1 2 1 261632 1
Θn/bPn+1 1 1 1 1 1 1 1 2 2×2 6 1 1 3 2 2 2 2×2×2 8×2 2 24
πnS/J 1 2 1 1 1 2 1 2 2×2 6 1 1 3 2×2 2 2 2×2×2 8×2 2 24
index - 2 - - - 2 - - - - - - - 2 - - - - - -


link text


$$ f \colon X \to Y $$

Extension DPL (warning): current configuration allows execution of DPL code from protected pages only.

Just a fest $f \colon A \to B$.

$\Q$


a theorem 5.8.

$\text{Spin}$

by theorem 5.8

  1. Amsterdam
  2. Rotterdam
  3. The Hague

[Mess1990]


$\left( \begin{array}{ll} \alpha & \beta \\ \gamma & \delta \end{array} \right)$

$f = T$

$ f : X \to Y$

$$ f : X \to Y $$

$\Ker$

$\mathscr{A}$ $\mathscr{B}$

bold italic emphasis

</wikitex>

File:Foliation.png
3-dimensional Reeb foliation

[edit] 5 Tests

[Ranicki1981] [Milnor1956] [Milnor1956, Theorem 1] [Milnor1956] [Milnor1956, Theorem 1] Frog

Proof.

\square

[edit] 6 Section

[edit] 6.1 Subsection

Refert to subsection 7.1

Theorem 7.1. test

Refer to theorem 7.1

[edit] 7 Section

\textup{CW}_0

An inter-Wiki link.

Another [1]; inter-Wiki link.

dfa[2]


[edit] 8 Footnotes

  1. Test1
  2. Test2

[edit] 9 References

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