Difference between revisions of "Math/fractions"
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= Fractions = | = Fractions = | ||
− | {{cmd|frac}} | + | {{cmd|frac}} typeset fraction, according to the current style. |
− | {{cmd|tfrac}} for | + | Others commands enforce a certain style : |
+ | * {{cmd|tfrac}} for text style | ||
+ | * {{cmd|dfrac}} for display style | ||
+ | * {{cmd|xfrac}} for script style. | ||
+ | * {{cmd|sfrac}} and {{cmd|xxfrac}} for script of script style. | ||
+ | * {{cmd|cfrac}} for continued style | ||
+ | * {{cmd|vfrac}} for semi-horizontal style | ||
+ | * {{cmd|hfrac}} for horizontal style | ||
+ | |||
<context source="yes"> | <context source="yes"> | ||
Line 10: | Line 18: | ||
\HL | \HL | ||
\NC math \NC \type{\frac{1}{3}} \NC \m{\frac{1}{3}} \NC\NR | \NC math \NC \type{\frac{1}{3}} \NC \m{\frac{1}{3}} \NC\NR | ||
+ | \NC display \NC \type{\dfrac{1}{3}} \NC \m{\dfrac{1}{3}} \NC\NR | ||
\NC script \NC \type{\xfrac{1}{3}} \NC \m{\xfrac{1}{3}} \NC\NR | \NC script \NC \type{\xfrac{1}{3}} \NC \m{\xfrac{1}{3}} \NC\NR | ||
+ | \NC scriptscript \NC \type{\sfrac{1}{3}} \NC \m{\sfrac{1}{3}} \NC\NR | ||
\NC scriptscript \NC \type{\xxfrac{1}{3}} \NC \m{\xxfrac{1}{3}} \NC\NR | \NC scriptscript \NC \type{\xxfrac{1}{3}} \NC \m{\xxfrac{1}{3}} \NC\NR | ||
+ | \NC semi-horizontal \NC \type{\vfrac{1}{3}} \NC \m{\vfrac{1}{3}} \NC\NR | ||
+ | \NC horizontal \NC \type{\hfrac{1}{3}} \NC \m{\hfrac{1}{3}} \NC\NR | ||
+ | \NC continued \NC \type{\cfrac{1}{3}} \NC \m{\cfrac{1}{3}} \NC\NR | ||
\NC text \NC \type{\tfrac{1}{3}} \NC \m{\tfrac{1}{3}} \NC\NR | \NC text \NC \type{\tfrac{1}{3}} \NC \m{\tfrac{1}{3}} \NC\NR | ||
− | |||
− | |||
− | |||
− | |||
− | |||
\stoptabulate | \stoptabulate | ||
</context> | </context> | ||
+ | |||
+ | == Different behaviors for inline and display mode == | ||
<context source="yes"> | <context source="yes"> | ||
\startbuffer[frac] | \startbuffer[frac] | ||
− | \frac{1}{2} + \dfrac{1}{2} - \sfrac{1}{2} + \tfrac{1}{2} | + | \frac{1}{2} + \dfrac{1}{2} - \sfrac{1}{2} - \xfrac{1}{2} - \xxfrac{1}{2} + \vfrac{1}{2} + \hfrac{1}{2} + \tfrac{1}{2} |
\stopbuffer | \stopbuffer | ||
\framed[frame=off,align=normal]{% <=== just to improve wiki rendering | \framed[frame=off,align=normal]{% <=== just to improve wiki rendering | ||
− | Each time, we display | + | Each time, we display the different style: |
With \tex{startformula} (display mode) | With \tex{startformula} (display mode) | ||
Line 35: | Line 45: | ||
\stopformula | \stopformula | ||
− | With \tex{m} (inline mode): \m{\getbuffer[frac]} | + | With \tex{m} (inline mode): \m{\getbuffer[frac]}} |
+ | </context> | ||
+ | |||
+ | |||
+ | == Fractions of fractions == | ||
+ | |||
+ | <context source="yes"> | ||
+ | \startbuffer[frac] | ||
+ | \frac{1}{2} + \dfrac{1}{2} - \sfrac{1}{2} - \xfrac{1}{2} - \xxfrac{1}{2} + \vfrac{1}{2} + \hfrac{1}{2} + \tfrac{1}{2} | ||
+ | \stopbuffer | ||
+ | |||
+ | \framed[frame=off,align=normal]{% <=== just to improve wiki rendering | ||
+ | Now fraction of fractions: | ||
With \tex{startformula} (display mode) | With \tex{startformula} (display mode) | ||
Line 44: | Line 66: | ||
\stopformula | \stopformula | ||
− | With \tex{m} (inline mode): | + | |
+ | With \tex{m} (inline mode) and \tex{frac}: | ||
\m{\frac | \m{\frac | ||
{\getbuffer[frac]} | {\getbuffer[frac]} | ||
{\getbuffer[frac]}} | {\getbuffer[frac]}} | ||
− | } | + | With \tex{m} (inline mode) and \tex{cfrac} (continued): |
+ | \m{\cfrac | ||
+ | {\getbuffer[frac]} | ||
+ | {\getbuffer[frac]}}} | ||
+ | </context> | ||
+ | |||
+ | == Formatting with {{cmd|definemathfraction}} == | ||
+ | |||
+ | Just an example from [https://www.mail-archive.com/ntg-context@ntg.nl/msg69987.html mailing list] | ||
+ | |||
+ | <context source="yes"> | ||
+ | \startformula \frac {a} { \frac{b}{c} } \stopformula | ||
+ | |||
+ | \definemathfraction | ||
+ | [wfrac] | ||
+ | [margin=.25em] | ||
+ | |||
+ | \startformula \wfrac {a} { \frac{b}{c} } \stopformula | ||
+ | </context> | ||
= Binomial coefficients = | = Binomial coefficients = | ||
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{{cmd|setupmathfractions}}. | {{cmd|setupmathfractions}}. | ||
− | |||
− | + | Below we show some of the often used fonts, together with the default setting and the one just suggested. The default look of the binomial coefficients look good in several fonts, but for example not perfect in Latin Modern. You may want to play with {{cmd|definemathfraction}}. | |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | < | + | <context source="yes"> |
\setuphead[chapter][align=middle] | \setuphead[chapter][align=middle] | ||
\setuphead[section][style=\bfa] | \setuphead[section][style=\bfa] | ||
\setuphead[subsection][style=\it] | \setuphead[subsection][style=\it] | ||
− | |||
\setuplayout[ | \setuplayout[ | ||
Line 110: | Line 142: | ||
\getbuffer | \getbuffer | ||
− | \switchtobodyfont[lucidaot] | + | %\switchtobodyfont[lucidaot] |
− | \subsubject{Lucida} | + | %\subsubject{Lucida} |
− | \getbuffer | + | %\getbuffer |
\column[yes] | \column[yes] | ||
− | \ | + | \definemathfraction[binomial] [binom] [fences=parenthesis,rule=no] |
− | fences=parenthesis, | + | \definemathfraction[tbinomial] [binomial] [mathstyle=text] |
− | ] | + | \definemathfraction[dbinomial] [binomial] [mathstyle=display] |
+ | |||
+ | \startbuffer | ||
+ | \type{\binomial{n}{k}}: $\binomial{n}{k}$\par | ||
+ | \type{\tbinomial{n}{k}}: $\tbinomial{n}{k}$\par | ||
+ | \type{\dbinomial{n}{k}}: $\dbinomial{n}{k}$\par | ||
+ | \stopbuffer | ||
\switchtobodyfont[modern] | \switchtobodyfont[modern] | ||
− | \subject{ | + | \subject{\tex{definemathfraction}} |
\subsubject{Latin Modern} | \subsubject{Latin Modern} | ||
\getbuffer | \getbuffer | ||
Line 133: | Line 171: | ||
\getbuffer | \getbuffer | ||
− | \switchtobodyfont[lucidaot] | + | %\switchtobodyfont[lucidaot] |
− | \subsubject{Lucida} | + | %\subsubject{Lucida} |
− | \getbuffer | + | %\getbuffer |
\stopcolumns | \stopcolumns | ||
\stoptext | \stoptext | ||
− | </ | + | |
+ | </context> | ||
The result of the code above, with the standalone from 2017-09-05 is given below. | The result of the code above, with the standalone from 2017-09-05 is given below. | ||
[[File:binomialcoefficients.png|700px]] | [[File:binomialcoefficients.png|700px]] | ||
− | |||
− |
Revision as of 19:28, 12 May 2024
Contents
Fractions
\frac typeset fraction, according to the current style. Others commands enforce a certain style :
- \tfrac for text style
- \dfrac for display style
- \xfrac for script style.
- \sfrac and \xxfrac for script of script style.
- \cfrac for continued style
- \vfrac for semi-horizontal style
- \hfrac for horizontal style
\starttabulate[|l|l|l|] \HL \NC {\bf Size or style} \NC {\bf Code} \NC {\bf Typesetting} \NC\NR \HL \NC math \NC \type{\frac{1}{3}} \NC \m{\frac{1}{3}} \NC\NR \NC display \NC \type{\dfrac{1}{3}} \NC \m{\dfrac{1}{3}} \NC\NR \NC script \NC \type{\xfrac{1}{3}} \NC \m{\xfrac{1}{3}} \NC\NR \NC scriptscript \NC \type{\sfrac{1}{3}} \NC \m{\sfrac{1}{3}} \NC\NR \NC scriptscript \NC \type{\xxfrac{1}{3}} \NC \m{\xxfrac{1}{3}} \NC\NR \NC semi-horizontal \NC \type{\vfrac{1}{3}} \NC \m{\vfrac{1}{3}} \NC\NR \NC horizontal \NC \type{\hfrac{1}{3}} \NC \m{\hfrac{1}{3}} \NC\NR \NC continued \NC \type{\cfrac{1}{3}} \NC \m{\cfrac{1}{3}} \NC\NR \NC text \NC \type{\tfrac{1}{3}} \NC \m{\tfrac{1}{3}} \NC\NR \stoptabulate
Different behaviors for inline and display mode
\startbuffer[frac] \frac{1}{2} + \dfrac{1}{2} - \sfrac{1}{2} - \xfrac{1}{2} - \xxfrac{1}{2} + \vfrac{1}{2} + \hfrac{1}{2} + \tfrac{1}{2} \stopbuffer \framed[frame=off,align=normal]{% <=== just to improve wiki rendering Each time, we display the different style: With \tex{startformula} (display mode) \startformula \getbuffer[frac] \stopformula With \tex{m} (inline mode): \m{\getbuffer[frac]}}
Fractions of fractions
\startbuffer[frac] \frac{1}{2} + \dfrac{1}{2} - \sfrac{1}{2} - \xfrac{1}{2} - \xxfrac{1}{2} + \vfrac{1}{2} + \hfrac{1}{2} + \tfrac{1}{2} \stopbuffer \framed[frame=off,align=normal]{% <=== just to improve wiki rendering Now fraction of fractions: With \tex{startformula} (display mode) \startformula \frac {\getbuffer[frac]} {\getbuffer[frac]} \stopformula With \tex{m} (inline mode) and \tex{frac}: \m{\frac {\getbuffer[frac]} {\getbuffer[frac]}} With \tex{m} (inline mode) and \tex{cfrac} (continued): \m{\cfrac {\getbuffer[frac]} {\getbuffer[frac]}}}
Formatting with \definemathfraction
Just an example from mailing list
\startformula \frac {a} { \frac{b}{c} } \stopformula \definemathfraction [wfrac] [margin=.25em] \startformula \wfrac {a} { \frac{b}{c} } \stopformula
Binomial coefficients
To write binomial coefficients you use any of \binom, \tbinom or \dbinom (the latter two if you want to force text style or display style respectively). These commands are defined as fractions in ConTeXt, and can be set up with \setupmathfractions.
Below we show some of the often used fonts, together with the default setting and the one just suggested. The default look of the binomial coefficients look good in several fonts, but for example not perfect in Latin Modern. You may want to play with \definemathfraction.
\setuphead[chapter][align=middle] \setuphead[section][style=\bfa] \setuphead[subsection][style=\it] \setuplayout[ topspace=1in, bottomspace=1in, header=0pt, footer=0pt, backspace=1in, margin=0pt, width=fit, height=fit, ] \startbuffer \type{\binom{n}{k}}: $\binom{n}{k}$\par \type{\tbinom{n}{k}}: $\tbinom{n}{k}$\par \type{\dbinom{n}{k}}: $\dbinom{n}{k}$\par \stopbuffer \starttext \title{Binomial coefficients} \startcolumns[n=2] \subject{Default settings} \subsubject{Latin Modern} \getbuffer \switchtobodyfont[pagella] \subsubject{Pagella} \getbuffer \switchtobodyfont[stixtwo] \subsubject{STIX Two} \getbuffer %\switchtobodyfont[lucidaot] %\subsubject{Lucida} %\getbuffer \column[yes] \definemathfraction[binomial] [binom] [fences=parenthesis,rule=no] \definemathfraction[tbinomial] [binomial] [mathstyle=text] \definemathfraction[dbinomial] [binomial] [mathstyle=display] \startbuffer \type{\binomial{n}{k}}: $\binomial{n}{k}$\par \type{\tbinomial{n}{k}}: $\tbinomial{n}{k}$\par \type{\dbinomial{n}{k}}: $\dbinomial{n}{k}$\par \stopbuffer \switchtobodyfont[modern] \subject{\tex{definemathfraction}} \subsubject{Latin Modern} \getbuffer \switchtobodyfont[pagella] \subsubject{Pagella} \getbuffer \switchtobodyfont[stixtwo] \subsubject{STIX Two} \getbuffer %\switchtobodyfont[lucidaot] %\subsubject{Lucida} %\getbuffer \stopcolumns \stoptext
The result of the code above, with the standalone from 2017-09-05 is given below.