Manifold Atlas:TeX in the Atlas
m (→Adding footnotes) |
m (→Theorems, proofs and such) |
||
Line 74: | Line 74: | ||
</nowiki></pre> | </nowiki></pre> | ||
− | There is also a single proof environment <tt><nowiki>{{beginproof}}</nowiki></tt> | + | There is also a single proof environment <tt><nowiki>{{beginproof}}</nowiki></tt> ... <tt><nowiki>{{endproof}}</nowiki></tt>. For example |
{{beginproof}} | {{beginproof}} | ||
The proof follows from ... . | The proof follows from ... . |
Revision as of 12:34, 6 December 2010
Contents |
LaTeX formulas
The <wikitex> environment lets you to insert inline LaTeX formulas using the familiar dollar signs: all atlas articles begin and end with the <wikitex> tags. For example
<wikitex>; ... there is a diffeomorphism $f \co M^n_a \cong M^n_b$ ... </wikitex>
will appear as:
there is a diffeomorphism![]()
Please read the style guide for Latex conventions in the Atlas and for command shortcuts.
Finally note that the normal <math> tags are disabled so that there is a unique method for math markup.
Displayed formulas
Displayed formulas can be obtained by double-dollars $$...$$. You can get tags at the right margin by the command \eqno{...} within a displayed formula. There is no automatic numbering available, so please number your formulas by hand, if necessary.
Multiline formulas can be obtained by the AMS-LaTeX environments “gathered”, “aligned” and “alignedat”. For example,
<wikitex>; $$ \begin{aligned} H^k(K(G,k);H) &\cong \Hom(H_k(K(G,k);H) \\ &\cong \Hom(G,H). \end{aligned} $$ </wikitex>
yields
Refreshing <wikitex> commands
Note that WikiTex only creates each graphic file once and then uses that fixed graphic.
If you find that a WikiTeX command is producing the wrong symbol, e.g. if you are using user-defined commands then you can have WikiTeX up-date its graphics files as follows:
- Replace the relevant <wikitex>; command(s) by
- <wikitex refresh>;
If you are using user-defined commands, then up-date with
- <wikitex refresh include="TeXInclude:Page_name>;
Note that using <wikitex refresh>; slows the page down since the graphics are refreshed each time the page is loaded.
Once your WikiTeX commands are working as they should, please remove the refresh from you <wikitex refresh>; commands.
Theorems, proofs and such
The Atlas has two theorem-like environments:
- {{beginthm|par1|par2}} ... {{endthm}},
- {{beginrem|par1|par2}} ... {{endrem}}.
The first produces emphasised text suitable for theorems, propositions, lemmas etc.
The second produces standard text suitable for remarks.
Both environments have two parameters: the first parameter contains the name of the statement. The second parameter is optional and contains any additions to the heading. For example:
Conjecture 3.1 (Novikov). The higher signatures are homotopy invariants.
is generated by the code
{{beginthm|Conjecture|(Novikov)}} The higher signatures are homotopy invariants. {{endthm}}
There is also a single proof environment {{beginproof}} ... {{endproof}}. For example
Proof. The proof follows from ... .
![\square](/images/math/7/b/3/7b39786e26d837954085516609e12817.png)
is generated by the code
{{beginproof}} The proof follows from ... . {{endproof}}
Intra-article referencing
You can label Theorems, Lemmas etc and refer to them just as you would in tex. Here is an example:
{{beginthm|Conjecture|[Borel Conjecture]}} <label>con:Borel_Conjecture</label> Every aspherical closed manifold is topologically rigid. {{endthm}} In particular the Borel Conjecture 4.1 implies ...
Produces the output:
Conjecture 4.1 [Borel Conjecture].
Every aspherical closed manifold is topologically rigid.
In particular the Borel Conjecture 4.1 implies ... .
Adding footnotes
You can insert footnotes into your article as follows:
- write your footnote inside <ref> ... </ref>
- add a section at the end of your page after the reference section by writing
- ==Footnotes== <references/>
For example: <ref> Here is a footnote. </ref> produces this footnote [1]
User-defined commands
For each separate page, it is possible to create your own user-defined commands with WikiTeX:
- You need to create an auxiliary page called TeXInclude:Page_name and simply place your new commands there.
- This new auxiliary page belongs to a different part of the Atlas called the TeXInclude Namespace.
- In the page you are writing you then need to change the wikitex commands as follows:
- replace <wikitex> with <wikitex include="TeXInclude:Page_name">
For example, see TeXInclude:Super manifolds: a survey and Super manifolds: a survey.
If you wish to create a TeXInclude page for a page you are working on please:
- check to see if the page already exists by going to the TeXInclude index
- create your TeXInclude page in the box below, make sure you type TeXInclude:Page_name
Notes on user-defined commands
- Please ensure that your own commands do not conflict with the existing globally defined commands.
- You can read about Namespaces in mediawiki here.
Diagrams
The Atlas supports the diagram package Xy-pic. So making diagrams with xy-pic in the Atlas works just as it would in a usual TeX file: make sure you are in math-mode. Here are a couple examples from the Atlas:
Further information is available from:
Lists
Lists are easily produced.
- Just use
for each item.
- To creata a sub-list, use
.
- To creata a sub-list, use
- If you want to number the list you can use # .
- For more information see lists in Wikipedia.
LaTeX style guide
- Shortcuts for blackboard bold capital letters are available: for example type $\Cc,\Qq,\Rr$ for
.
- Expressions consisting of more than one letter should usually not be written: For example, $Diff(M)$ since this results in the cumbersome:
. A TeX-nically better way is $\mathop{\mathrm{Diff}}(M)$, which yields the elegant rendering
. For your convenience, some manifold-related expressions are predefined in the <wikitex> environment, in addition to the standard operators like \sin, \exp etc. Feel free to request more commonly used operators and abbreviations.
code | result | meaning |
---|---|---|
\id | ![]() |
identity map |
\Sq | ![]() |
Steenrod squares |
\Homeo | ![]() |
group of homeomorphisms of a topoloical space |
\Diff | ![]() |
group of diffeomorphisms of a smooth manifold |
\SDiff | ![]() |
diffeomorphisms under some constraint |
\Hom | ![]() |
homomorphisms of an algebraic structure |
\End | ![]() |
endomorphisms |
\Aut | ![]() |
automorphisms |
\Inn | ![]() |
inner automorphisms |
\Out | ![]() |
outer automorphisms |
\GL | ![]() |
general linear group |
\SL | ![]() |
special linear group |
\SO | ![]() |
special orthogonal group |
\SU | ![]() |
special unitary group |
\Spin | ![]() |
Spin group |
\RP | ![]() |
real projective space |
\CP | ![]() |
complex projective space |
\HP | ![]() |
quaternionic projective space |
\Top | ![]() |
topological category |
\PL | ![]() |
piecewise linear category |
\Cat | ![]() |
any category |
\KS | ![]() |
Kirby-Siebenmann class |
Footnotes
- ↑ Here is a footnote.