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diff --git a/doc/context/sources/general/manuals/math/math-alignments.tex b/doc/context/sources/general/manuals/math/math-alignments.tex new file mode 100644 index 000000000..bb2801b8a --- /dev/null +++ b/doc/context/sources/general/manuals/math/math-alignments.tex @@ -0,0 +1,297 @@ +\environment math-layout + +\startcomponent math-alignments + +\startchapter[title=Alignments and such] + +\startsection[title=Using ampersands] + +When you come from plain \TEX, using ampersands probably comes as a custom, like in: + +\startbuffer +\startformula +\bordermatrix { + a & b & c & d \cr + e & f & G & h \cr + i & j & k & l \cr +} +\stopformula +\stopbuffer + +\typebuffer \getbuffer + +or: + +\startbuffer +\startformula +\bbordermatrix { + a & b & c & d \cr + e & f & G & h \cr + i & j & k & l \cr +} +\stopformula +\stopbuffer + +\typebuffer \getbuffer + +A more \CONTEXT\ way is this: + +\startbuffer +\startformula +\startbordermatrix + \NC a \NC b \NC c \NC d \NR + \NC e \NC f \NC G \NC h \NR + \NC i \NC j \NC k \NC l \NR +\stopbordermatrix +\stopformula +\stopbuffer + +\typebuffer \getbuffer + +and: + +\startbuffer +\startformula +\startbbordermatrix + \NC a \NC b \NC c \NC d \NR + \NC e \NC f \NC G \NC h \NR + \NC i \NC j \NC k \NC l \NR +\stopbbordermatrix +\stopformula +\stopbuffer + +\typebuffer \getbuffer + +Just that you know. In general ampersands in \CONTEXT\ text mode are just that: +ampersands, not something alignment related. + +\stopsection + +\startsection[title=Locations] + +The \type {location} feature gives some control over the alignment of alignments. +The following examples are taken from an email exchange with Henri Menke. + +\startbuffer +\startplaceformula + \startformula + \startmathalignment[location=top] + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \stopmathalignment + \quad\text{or}\quad + \startmathalignment[location=center] + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \stopmathalignment + \quad\text{or}\quad + \startmathalignment[location=bottom] + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \stopmathalignment + \stopformula +\stopplaceformula +\stopbuffer + +\typebuffer \getbuffer + +Numbering works ok for a single mathalignment + +\startbuffer +\startplaceformula + \startformula + \startmathalignment[number=auto] + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \stopmathalignment + \stopformula +\stopplaceformula +\stopbuffer + +\typebuffer \getbuffer + +But for one with a location the results are suboptimal: + +\startbuffer +\startplaceformula + \startformula + \startmathalignment[location=center,number=auto] + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \NC a + b \NC= c + d \NR + \stopmathalignment + \stopformula +\stopplaceformula +\stopbuffer + +\typebuffer \getbuffer + +Here is a real example: + +\startbuffer +\startplaceformula + \startformula + U_2 = \frac{1}{2!} + \int_0^\beta \diff\tau_1 \int_0^\beta \diff\tau_2\; + \sum_{\startsubstack k_1,q_1 \NR k_2,q_2 \stopsubstack} + \Bigl\langle + \startmathalignment[location=top,align=left] + \NC + \mathcal T \Bigl[ + c_{k_1}^\dagger (\tau_1) + \Delta_{k_1,q_1}^r c_{-k_1}^* (\tau_1) + c_{-q_1}^T (\tau_1) + \Delta_{k_1,q_1}^{r\dagger} c_{q_1} (\tau_1) + \Bigr] + \NR + \NC + \times \Bigl[ + c_{k_2}^\dagger(\tau_2) \Delta_{k_2,q_2}^r c_{-k_2}^* + (\tau_2) + c_{-q_2}^T (\tau_2) \Delta_{k_2,q_2}^{r\dagger} + c_{q_2} (\tau_2) + \Bigr] \Bigr\rangle . + \NR + \stopmathalignment + \stopformula +\stopplaceformula +\stopbuffer + +\typebuffer \getbuffer + +\stopsection + +\startsection[title=Tuning alignments] + +Again a few examples of manipulating alignments. It really helps to play +with examples if you want to get an idea what is possible. + +\startbuffer +\startformula + \startalign[m=2,align={middle}] + \NC \text to 6cm{} \NC x = 0 \NR + \stopalign +\stopformula + +\startformula + \startalign[m=2,align={middle}] + \NC \text to 6cm{One\hfill} \NC a = 1 \NR + \NC \text to 6cm{One Two\hfill} \NC b = 2 \NR + \NC \text to 6cm{One Two Three\hfill} \NC c = 3 \NR + \stopalign +\stopformula + +\startformula + \startalign[m=2,align={left}] + \NC \text to 6cm{One\hfill} \NC a = 1 \NR + \NC \text to 6cm{One Two\hfill} \NC b = 2 \NR + \NC \text to 6cm{One Two Three\hfill} \NC c = 3 \NR + \stopalign +\stopformula +\stopbuffer + +\typebuffer \getbuffer + +\startbuffer +\startformula + \startalign[m=2,align={middle}] + \NC \text to 6cm{} \NC x = 0 \NR + \stopalign +\stopformula + +\startformula + \startalign[m=2,align={middle}] + \NC \text to 6cm{One} \NC a = 1 \NR + \NC \text to 6cm{One Two} \NC b = 2 \NR + \NC \text to 6cm{One Two Three} \NC c = 3 \NR + \stopalign +\stopformula + +\startformula + \startalign[m=2,align={left}] + \NC \text to 6cm{One} \NC a = 1 \NR + \NC \text to 6cm{One Two} \NC b = 2 \NR + \NC \text to 6cm{One Two Three} \NC c = 3 \NR + \stopalign +\stopformula +\stopbuffer + +\typebuffer \getbuffer + +\startbuffer +\startformula + \startalign[m=2,align={middle}] + \NC \text{} \NC x = 0 \NR + \stopalign +\stopformula + +\startformula + \startalign[m=2,align={middle}] + \NC \text{One} \NC a = 1 \NR + \NC \text{One Two} \NC b = 2 \NR + \NC \text{One Two Three} \NC c = 3 \NR + \stopalign +\stopformula + +\startformula + \startalign[m=2,align={left}] + \NC \text{One} \NC a = 1 \NR + \NC \text{One Two} \NC b = 2 \NR + \NC \text{One Two Three} \NC c = 3 \NR + \stopalign +\stopformula +\stopbuffer + +\typebuffer \getbuffer + +\stopsection + +\startsection[title={Splitting over pages}] + +Because formula placement has positioning options a formula gets +wrapped in a box. As a consequence formulas will not break across +pages. This can be an issue with alignments. There is an experimental +option for this (the result is shown in \in {figure} [fig:splitalign]): + +\startbuffer[demo] +\usemodule[art-01] +\setupbodyfont[13pt] +\starttext + \input tufte + \startplaceformula + \startsplitformula + \startalign + \NC a \EQ b \NR[+] + \NC \EQ d \NR + \NC c \EQ f \NR[+] + \NC \EQ g \NR + \NC \EQ h \NR[+] + \dorecurse{100}{\NC \EQ i + #1 - #1\NR[+]}% + \NC \EQ x \NR + \stopalign + \stopsplitformula + \stopplaceformula + \input tufte +\stoptext +\stopbuffer + +\typebuffer[demo] + +\startplacefigure[title={Splitting an alignment.},reference=fig:splitalign] + \startcombination[nx=4,ny=1] + {\typesetbuffer[demo][page=1,width=\measure{combination}]} {} + {\typesetbuffer[demo][page=2,width=\measure{combination}]} {} + {\typesetbuffer[demo][page=3,width=\measure{combination}]} {} + {\typesetbuffer[demo][page=4,width=\measure{combination}]} {} + \stopcombination +\stopplacefigure + +\stoptext + +\stopsection + +\stopchapter + +\stopcomponent |