Manifold Atlas:TeX in the Atlas
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</wikitex> | </wikitex> | ||
− | == Refreshing <nowiki><wikitex></nowiki> commands == | + | == Refreshing <nowiki><wikitex>;</nowiki> commands == |
Note that WikiTex only creates each graphic file once and then uses that fixed graphic. | 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|user-defined commands]] then you can have WikiTeX up-date its graphics files as follows: | If you find that a WikiTeX command is producing the wrong symbol, e.g. if you are using [[#User-defined commands|user-defined commands]] then you can have WikiTeX up-date its graphics files as follows: | ||
− | * Replace the relevant <tt><nowiki><wikitex></nowiki></tt> command(s) by | + | * Replace the relevant <tt><nowiki><wikitex>;</nowiki></tt> command(s) by |
− | ** <tt><nowiki><wikitex refresh></nowiki></tt> | + | ** <tt><nowiki><wikitex refresh>;</nowiki></tt> |
If you are using user-defined commands, then up-date with | If you are using user-defined commands, then up-date with | ||
− | * <tt><nowiki><wikitex refresh include="TeXInclude:Page_name></nowiki></tt> | + | * <tt><nowiki><wikitex refresh include="TeXInclude:Page_name>;</nowiki></tt> |
− | Note that using <tt><nowiki><wikitex refresh></nowiki></tt> slows the page down since the graphics are refreshed each time the page is loaded. | + | Note that using <tt><nowiki><wikitex refresh>;</nowiki></tt> 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 | + | Once your WikiTeX commands are working as they should, please remove the <tt>refresh</tt> from you <tt><nowiki><wikitex refresh>;</nowiki></tt> commands. |
== Theorems, proofs and such == | == Theorems, proofs and such == |
Revision as of 15:17, 18 August 2010
Contents |
1 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.
1.1 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
2 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.
3 Theorems, proofs and such
The Atlas has a single theorem-like environment {{beginthm|par1|par2}} and {{endthm}}. The first parameter contains the name of the statement. The second parameter is optional and contains any additions to the theorem 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}} and {{endproof}}. For example
Proof. The proof follows from ... .
is generated by the code
{{beginproof}} The proof follows from ... . {{endproof}}
4 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} Every aspherical closed manifold is topologically rigid. {{endthm}} In particular the Borel Conjecture \ref{con:Borel_Conjecture} implies ...
Produces the output:
Conjecture 4.1 [Borel Conjecture].
Every aspherical closed manifold is topologically rigid.
In particular the Borel Conjecture 4.1 implies ... .
Note that the following text can also be used:
- <label>label_name</label> in place of \label{label_name}
- </wikitex><ref>label_name</ref><wikitex>; in place of \ref{label_name}
5 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 and Super manifolds.
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
5.1 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.
6 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:
7 Lists
Lists are easily produced.
- Just use for each item.
- To creata a sub-list, use .
- If you want to number the list you can use # .
- For more information see lists in Wikipedia.
8 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 |