mirror of https://github.com/texmacs/doc.git
104 lines
4.6 KiB
Plaintext
104 lines
4.6 KiB
Plaintext
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<TeXmacs|1.0.3.10>
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<style|tmdoc>
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<\body>
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<tmdoc-title|Typesetting mathematics>
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<\explain>
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<label|math-level><var-val|math-level|0><explain-synopsis|index level>
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<|explain>
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The <em|index level> increases inside certain mathematical constructs
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such as indices and fractions. When the index level is high, formulas are
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rendered in a smaller font. Nevertheless, index levels higher than
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<verbatim|2> are all rendered in the same way as index level
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<verbatim|2>; this ensures that formulas like
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<\equation*>
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\<mathe\><rsup|\<mathe\><rsup|\<mathe\><rsup|\<mathe\><rsup|x>>>>=<frac|1+<frac|1|x+\<mathe\><rsup|x>>|1+<frac|1|\<mathe\><rsup|x>+<frac|1|\<mathe\><rsup|\<mathe\><rsup|x>>>>>
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</equation*>
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remain readable. The index level may be manually changed in
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<menu|Format|Index level>, so as to produce formulas like
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<\equation*>
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x<rsup|<with|math-level|0|y<rsup|<with|math-level|0|z>>>>
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</equation*>
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<\tm-fragment>
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<with|mode|math|<inactive*|x<rsup|<with|math-level|0|y<rsup|<with|math-level|0|z>>>>>>
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</tm-fragment>
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</explain>
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<\explain>
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<var-val|math-display|false><explain-synopsis|display style>
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<|explain>
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This environement variable controls whether we are in <em|display style>
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or not. Formulas which occur on separate lines like
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<\equation*>
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<frac|n|H(\<alpha\><rsub|1>,\<ldots\>,\<alpha\><rsub|n>)>=<frac|1|\<alpha\><rsub|1>>+\<cdots\>+<frac|1|\<alpha\><rsub|n>>
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</equation*>
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are usually typeset in display style, contrary to inline formulas like
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<with|mode|math|<frac|n|H(\<alpha\><rsub|1>,\<ldots\>,\<alpha\><rsub|n>)>=<frac|1|\<alpha\><rsub|1>>+\<cdots\>+<frac|1|\<alpha\><rsub|n>>>.
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As you notice, formulas in display style are rendered using a wider
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spacing. The display style is disabled in several mathematical constructs
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such as scripts, fractions, binomial coefficients, and so on. As a
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result, the double numerators in the formula
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<\equation*>
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H(\<alpha\><rsub|1>,\<ldots\>,\<alpha\><rsub|n>)=<frac|n|<frac|1|\<alpha\><rsub|1>>+\<cdots\>+<frac|1|\<alpha\><rsub|n>>>
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</equation*>
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are typeset in a smaller font. You may override the default settings
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using <menu|Format|Display style>.
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</explain>
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<\explain>
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<var-val|math-condensed|false><explain-synopsis|condensed display style>
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<|explain>
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By default, formulas like <with|mode|math|a+\<cdots\>+z> are typeset
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using a nice, wide spacing around the <with|mode|math|<op|+>> symbol. In
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formulas with scripts like <with|mode|math|\<mathe\><rsup|a+\<cdots\>+z>+\<mathe\><rsup|\<alpha\>+\<cdots\>+\<zeta\>>>
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the readability is further enhanced by using a more condensed spacing
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inside the scripts: this helps the reader to distinguish symbols
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occurring in the scripts from symbols occurring at the ground level when
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the scripts are long. The default behaviour can be overridden using
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<menu|Format|Condensed>.
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</explain>
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<\explain>
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<var-val|math-vpos|0><explain-synopsis|position in fractions>
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<|explain>
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For a high quality typesetting of fraction, it is good to avoid
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subscripts in numerators to descend to low and superscripts in
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denominators to ascend to high. <TeXmacs> therefore provides an
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additional environment variable <src-var|math-vpos> which takes the value
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<with|mode|math|1> inside numerators, <with|mode|math|\<um\>1> inside
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denominators and <with|mode|math|0> otherwise. In order to see the effect
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the different settings, consider the following formula:
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<\equation*>
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<with|math-vpos|-1|<group|a<rsub|\<um\>1><rsup|2>>>+<with|math-vpos|0|<group|a<rsub|0><rsup|2>>>+<with|math-vpos|1|<group|a<rsub|1><rsup|2>>>
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</equation*>
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<\tm-fragment>
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<with|mode|math|<inactive*|<with|math-vpos|-1|<group|<active*|a<rsub|\<um\>1><rsup|2>>>>+<with|math-vpos|0|<group|<active*|a<rsub|0><rsup|2>>>>+<with|math-vpos|1|<group|<active*|a<rsub|1><rsup|2>>>>>>
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</tm-fragment>
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In this example, the grouping is necessary in order to let the different
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vertical positions take effect on each
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<with|mode|math|a<rsub|i><rsup|2>>. Indeed, the vertical position is
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uniform for each horizontal concatenation.
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</explain>
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<tmdoc-copyright|2004|Joris van der Hoeven>
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<tmdoc-license|Permission is granted to copy, distribute and/or modify this
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document under the terms of the GNU Free Documentation License, Version 1.1
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or any later version published by the Free Software Foundation; with no
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Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
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Texts. A copy of the license is included in the section entitled "GNU Free
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Documentation License".>
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</body>
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