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The editing window is hopefully enough self-descriptive. For more information about dokuwiki syntax, see Formatting Syntax. In addition, please pay attention to the following two features: citations and formulas.

Citations

Formulas

For rendering formulas, we use a modification of the latex plugin for dokuwiki. Inline formulas are to be written inside single dollar signs. Formulas on separate line are to be written inside double dollar signs.

Each formula is compiled as a separate LaTeX document and the result is then transformed to a SVG image. Note that it is not possible to define any additional commands locally for each page.

Pre-defined shortcuts

We define the following additional macros. The purpose of those definitions is not only to make writing formulas easier but also to unify the notation for the wiki. So, authors are strongly encouraged to use the macros and to use them in the meaning specified in the table. If you suggest any changes in the list, please contact the administrators.

Symbol	Command	Meaning
$\C$	`\C`	Set of complex numbers
$\GL$	`\GL`	General linear group
$\N$	`\N`	Set of natural numbers (without zero)
$\Part$	`\Part`	Set of all partitions
$\R$	`\R`	Set of real numbers
$\spanlin$	`\spanlin`	Linear span
$\Q$	`\Q`	Set of rational numbers
$\Z$	`\Z`	Set of integers

Partitions

For typesetting partitions, we use the macro package partmac from Daniel Gromada. Here are the instructions

Predefined partitions

There are macros of the form \Lxxxx for partitions on lower line, \Uxxxx for partitions on upper line and \Pxxxx for partitions with the same ammount of upper and lower points. Here xxxx is the lexicographically smallest word representation of the partiiton. That is, we have the following macros for partitions with points on the lower line.

`\La`	$\La$	`\Laaaa`	$\Laaaa$	`\Laabc`	$\Laabc$
`\Laa`	$\Laa$	`\Laaab`	$\Laaab$	`\Labac`	$\Labac$
`\Lab`	$\Lab$	`\Laaba`	$\Laaba$	`\Labca`	$\Labca$
`\Laaa`	$\Laaa$	`\Labaa`	$\Labaa$	`\Labbc`	$\Labbc$
`\Laab`	$\Laab$	`\Labbb`	$\Labbb$	`\Labcb`	$\Labcb$
`\Laba`	$\Laba$	`\Laabb`	$\Laabb$	`\Labcc`	$\Labcc$
`\Labb`	$\Labb$	`\Labba`	$\Labba$	`\Labcd`	$\Labcd$
`\Labc`	$\Labc$	`\Labab`	$\Labab$

Then we have the following macros for partitions with points on the upper line.

`\Ua`	$\Ua$	`\Uaaaa`	$\Uaaaa$	`\Uaabc`	$\Uaabc$
`\Uaa`	$\Uaa$	`\Uaaab`	$\Uaaab$	`\Uabac`	$\Uabac$
`\Uab`	$\Uab$	`\Uaaba`	$\Uaaba$	`\Uabca`	$\Uabca$
`\Uaaa`	$\Uaaa$	`\Uabaa`	$\Uabaa$	`\Uabbc`	$\Uabbc$
`\Uaab`	$\Uaab$	`\Uabbb`	$\Uabbb$	`\Uabcb`	$\Uabcb$
`\Uaba`	$\Uaba$	`\Uaabb`	$\Uaabb$	`\Uabcc`	$\Uabcc$
`\Uabb`	$\Uabb$	`\Uabba`	$\Uabba$	`\Uabcd`	$\Uabcd$
`\Uabc`	$\Uabc$	`\Uabab`	$\Uabab$

Finally partitions with equal number of points on lower and upper line.

`\Paa`	$\Paa$	`\Pabab`	$\Pabab$	`\Pabcabc`	$\Pabcabc$
`\Pab`	$\Pab$	`\Paabc`	$\Paabc$	`\Pabcabd`	$\Pabcabd$
`\Paaaa`	$\Paaaa$	`\Pabac`	$\Pabac$	`\Pabcadc`	$\Pabcadc$
`\Paaab`	$\Paaab$	`\Pabca`	$\Pabca$	`\Pabcdbc`	$\Pabcdbc$
`\Paaba`	$\Paaba$	`\Pabbc`	$\Pabbc$	`\Pabcade`	$\Pabcade$
`\Pabaa`	$\Pabaa$	`\Pabcb`	$\Pabcb$	`\Pabcdbe`	$\Pabcdbe$
`\Pabbb`	$\Pabbb$	`\Pabcc`	$\Pabcc$	`\Pabcdec`	$\Pabcdec$
`\Paabb`	$\Paabb$	`\Pabcd`	$\Pabcd$	`\Pabcdef`	$\Pabcdef$
`\Pabba`

In addition, we define the following synonyms.

`\singleton`	$\singleton$	`\idpart`	$\idpart$	`\fourpart`	$\fourpart$
`\upsingleton`	$\upsingleton$	`\disconnecterpart`	$\disconnecterpart$	`\crosspart`	$\crosspart$
`\pairpart`	$\pairpart$	`\positionerpart`	$\positionerpart$	`\halflibpart`	$\halflibpart$
`\uppairpart`	$\uppairpart$	`\connecterpart`	$\connecterpart$

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