Sandbox

From Manifold Atlas
Revision as of 17:00, 25 February 2014 by Philipp Kuehl (Talk | contribs)
Jump to: navigation, search

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

1 Testing equation numbering

(1)A = B

Here is a reference to equation 1

2 Still testing equation numbering

(2)C = D

2

3 Lists

  1. Frog

--

Theorem 4.1 [Penrose&Whitehead&Zeeman1961]. For every compact $m$--dimensional PL-manifold $M$ there exists a PL--embedding $ M \hookrightarrow \R^{2m}$.

Remark 4.2. For a good exposition of Theorem 4.1 see also [Rourke&Sanderson1972a, p. 63].

Theorem 4.3 [Whitney1944]. For every closed m--dimensional $C^{\infty}$--manifold $M$ there exists a $C^{\infty}$--embedding $M \hookrightarrow \R^{2m}$.

Remark 4.4. For a more modern exposition see also [Adachi1993, p. 67ff].

Theorem 4.5. We have $f \colon X \to Y$

Reference 4.5

By Theorem

$\alpha$(1.2)

1.2

{{#addlabel: test}}

(3)$\alpha$eqtest


Theorem 4.6. Frog

3 \ref{eqtest}

Here is some text leading up to an equation

4.7. $$ A = B $$

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 4.8.

$\text{Spin}$

by theorem 4.8

  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

4 Tests

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

Proof.

\square

5 Section

5.1 Subsection

Refert to subsection 6.1

Theorem 6.1. test

Refer to theorem 6.1

6 Section

\textup{CW}_0

An inter-Wiki link.

Another [1]; inter-Wiki link.

dfa[2]


7 Footnotes

  1. Test1
  2. Test2

8 References

Personal tools
Namespaces
Variants
Actions
Navigation
Interaction
Toolbox