This equation is outside the page, how to modify it
5
documentclass{article}
usepackage{amsmath}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
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5
documentclass{article}
usepackage{amsmath}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
math-mode margins
edited 3 hours ago
Sandy G
2,9621322
asked 6 hours ago
B.E.AtefB.E.Atef
311
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Off topic: I think you should usecasesinstead ofarray.
– JouleV
6 hours ago
1
(1) always post full minimal examples (MWE) instead of sniplets like this. Full MWE makes it a lot easier for others to test your code. (2) As JouleV mentions usecasesno need to usearray, (3) always be prepared to do rewrites if your equation is too large. Rewrites also often help your readers and too complicated equations are hard to read.
– daleif
6 hours ago
add a comment |
5
5
5
1
documentclass{article}
usepackage{amsmath}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
math-mode margins
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B.E.AtefB.E.Atef
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documentclass{article}
usepackage{amsmath}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
displaystyle{left(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))right)expleft(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\
displaystyle{left(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))right)expleft(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
math-mode margins
math-mode margins
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edited 3 hours ago
Sandy G
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asked 6 hours ago
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edited 3 hours ago
Sandy G
2,9621322
edited 3 hours ago
Sandy G
2,9621322
edited 3 hours ago
Sandy G
2,9621322
2,9621322
asked 6 hours ago
B.E.AtefB.E.Atef
311
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asked 6 hours ago
B.E.AtefB.E.Atef
311
asked 6 hours ago
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311
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Off topic: I think you should usecasesinstead ofarray.
– JouleV
6 hours ago
1
(1) always post full minimal examples (MWE) instead of sniplets like this. Full MWE makes it a lot easier for others to test your code. (2) As JouleV mentions usecasesno need to usearray, (3) always be prepared to do rewrites if your equation is too large. Rewrites also often help your readers and too complicated equations are hard to read.
– daleif
6 hours ago
add a comment |
Off topic: I think you should usecasesinstead ofarray.
– JouleV
6 hours ago
1
(1) always post full minimal examples (MWE) instead of sniplets like this. Full MWE makes it a lot easier for others to test your code. (2) As JouleV mentions usecasesno need to usearray, (3) always be prepared to do rewrites if your equation is too large. Rewrites also often help your readers and too complicated equations are hard to read.
– daleif
6 hours ago
Off topic: I think you should use
cases instead of array.– JouleV
6 hours ago
Off topic: I think you should use
cases instead of array.– JouleV
6 hours ago
1
1
(1) always post full minimal examples (MWE) instead of sniplets like this. Full MWE makes it a lot easier for others to test your code. (2) As JouleV mentions use
cases no need to use array, (3) always be prepared to do rewrites if your equation is too large. Rewrites also often help your readers and too complicated equations are hard to read.– daleif
6 hours ago
(1) always post full minimal examples (MWE) instead of sniplets like this. Full MWE makes it a lot easier for others to test your code. (2) As JouleV mentions use
cases no need to use array, (3) always be prepared to do rewrites if your equation is too large. Rewrites also often help your readers and too complicated equations are hard to read.– daleif
6 hours ago
add a comment |
3 Answers
3
active
oldest
votes
6
Since you have a lengthy common expression in each line, I suggest you give it a name:
Here is the code (using dcases):
documentclass{article}
usepackage{mathtools} % for shortintertext and dcases
begin{document}
For clarity, let us define
[
E(a)=expbiggl(-int_a^tpartial_x G(s,Phi_{(t,x)}(s)),mathrm{d}sbiggr).
]
Then we have
begin{align*}
partial_t &u(t,x)=\
&begin{dcases}
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}\
shortintertext{and}
partial_x&(Gu)(t,x)=\
&begin{dcases}
bigl(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}
end{align*}
end{document}
answered 5 hours ago
Sandy GSandy G
2,9621322
1
Good suggestion, BTW: note here why you should usebigglandbiggrnote the spacing on the-in the definition ofE. The spacing is wrong becausebigg(is just a symbol, whereasbiggl(additionally has theopeningcategory, thus forcing the-to be a sign, not an "addition".
– daleif
3 hours ago
1
Good point @daleif.
– Sandy G
3 hours ago
add a comment |
5
One possibility...
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{r}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)times}{expleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)times}{expleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
Or, as daleif suggests,
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{l}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)}{quadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)}{quadtimesexpleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)}{qquadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)}{qquadtimesexpleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
Thattimesshould start the line, not end it (aka I'd move it in front of exp), I'd probably also give each exp the same indentation from the{, this looks messy.
– daleif
6 hours ago
1
@daleif I have added your suggestion as a 2nd possibility.
– Steven B. Segletes
6 hours ago
1
Also note that the OP missed two)in the first equation, right before the firstright)
– daleif
6 hours ago
add a comment |
5
There's essentially no chance to fit those formulas in a standard text width.
You can split the big equations, I show two different methods of alignment.
documentclass{article}
usepackage{amsmath,mathtools}
newcommand{diff}{mathop{}!mathrm{d}}
begin{document}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
&bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
&qquadcdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
&bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
&qquadcdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
cdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
cdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
end{document}
Note dcases that avoid clumsy constructions with array and displaystyle.
Also mbox{d} is not the best way to get the (upright) differential symbol. Use mathrm{d}, but I also suggest a better method with the diff command.
answered 6 hours ago
egregegreg
726k8819203228
add a comment |
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3 Answers
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3 Answers
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6
Since you have a lengthy common expression in each line, I suggest you give it a name:
Here is the code (using dcases):
documentclass{article}
usepackage{mathtools} % for shortintertext and dcases
begin{document}
For clarity, let us define
[
E(a)=expbiggl(-int_a^tpartial_x G(s,Phi_{(t,x)}(s)),mathrm{d}sbiggr).
]
Then we have
begin{align*}
partial_t &u(t,x)=\
&begin{dcases}
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}\
shortintertext{and}
partial_x&(Gu)(t,x)=\
&begin{dcases}
bigl(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}
end{align*}
end{document}
answered 5 hours ago
Sandy GSandy G
2,9621322
1
Good suggestion, BTW: note here why you should usebigglandbiggrnote the spacing on the-in the definition ofE. The spacing is wrong becausebigg(is just a symbol, whereasbiggl(additionally has theopeningcategory, thus forcing the-to be a sign, not an "addition".
– daleif
3 hours ago
1
Good point @daleif.
– Sandy G
3 hours ago
add a comment |
6
Since you have a lengthy common expression in each line, I suggest you give it a name:
Here is the code (using dcases):
documentclass{article}
usepackage{mathtools} % for shortintertext and dcases
begin{document}
For clarity, let us define
[
E(a)=expbiggl(-int_a^tpartial_x G(s,Phi_{(t,x)}(s)),mathrm{d}sbiggr).
]
Then we have
begin{align*}
partial_t &u(t,x)=\
&begin{dcases}
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}\
shortintertext{and}
partial_x&(Gu)(t,x)=\
&begin{dcases}
bigl(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}
end{align*}
end{document}
answered 5 hours ago
Sandy GSandy G
2,9621322
1
Good suggestion, BTW: note here why you should usebigglandbiggrnote the spacing on the-in the definition ofE. The spacing is wrong becausebigg(is just a symbol, whereasbiggl(additionally has theopeningcategory, thus forcing the-to be a sign, not an "addition".
– daleif
3 hours ago
1
Good point @daleif.
– Sandy G
3 hours ago
add a comment |
6
6
6
Since you have a lengthy common expression in each line, I suggest you give it a name:
Here is the code (using dcases):
documentclass{article}
usepackage{mathtools} % for shortintertext and dcases
begin{document}
For clarity, let us define
[
E(a)=expbiggl(-int_a^tpartial_x G(s,Phi_{(t,x)}(s)),mathrm{d}sbiggr).
]
Then we have
begin{align*}
partial_t &u(t,x)=\
&begin{dcases}
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}\
shortintertext{and}
partial_x&(Gu)(t,x)=\
&begin{dcases}
bigl(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}
end{align*}
end{document}
answered 5 hours ago
Sandy GSandy G
2,9621322
Since you have a lengthy common expression in each line, I suggest you give it a name:
Here is the code (using dcases):
documentclass{article}
usepackage{mathtools} % for shortintertext and dcases
begin{document}
For clarity, let us define
[
E(a)=expbiggl(-int_a^tpartial_x G(s,Phi_{(t,x)}(s)),mathrm{d}sbiggr).
]
Then we have
begin{align*}
partial_t &u(t,x)=\
&begin{dcases}
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}\
shortintertext{and}
partial_x&(Gu)(t,x)=\
&begin{dcases}
bigl(partial_xG(t,x)R(xi^t(x))+ G(t,x)partial_xxi^t(x)R'(xi^t(x))bigr)Ebigl(xi^t(x)bigr),&(t,x)in Omega_1\
bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_xchi^t(x)u'_0(chi^t(x))bigr)E(t_0),&(t,x)in Omega_2\
0,&(t,x)inOmega_3
end{dcases}
end{align*}
end{document}
answered 5 hours ago
Sandy GSandy G
2,9621322
edited 3 hours ago
answered 5 hours ago
Sandy GSandy G
2,9621322
answered 5 hours ago
Sandy GSandy G
2,9621322
answered 5 hours ago
Sandy GSandy G
2,9621322
2,9621322
1
Good suggestion, BTW: note here why you should usebigglandbiggrnote the spacing on the-in the definition ofE. The spacing is wrong becausebigg(is just a symbol, whereasbiggl(additionally has theopeningcategory, thus forcing the-to be a sign, not an "addition".
– daleif
3 hours ago
1
Good point @daleif.
– Sandy G
3 hours ago
add a comment |
1
Good suggestion, BTW: note here why you should usebigglandbiggrnote the spacing on the-in the definition ofE. The spacing is wrong becausebigg(is just a symbol, whereasbiggl(additionally has theopeningcategory, thus forcing the-to be a sign, not an "addition".
– daleif
3 hours ago
1
Good point @daleif.
– Sandy G
3 hours ago
1
1
Good suggestion, BTW: note here why you should use
biggl and biggr note the spacing on the - in the definition of E. The spacing is wrong because bigg( is just a symbol, whereas biggl( additionally has the opening category, thus forcing the - to be a sign, not an "addition".– daleif
3 hours ago
Good suggestion, BTW: note here why you should use
biggl and biggr note the spacing on the - in the definition of E. The spacing is wrong because bigg( is just a symbol, whereas biggl( additionally has the opening category, thus forcing the - to be a sign, not an "addition".– daleif
3 hours ago
1
1
Good point @daleif.
– Sandy G
3 hours ago
Good point @daleif.
– Sandy G
3 hours ago
add a comment |
5
One possibility...
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{r}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)times}{expleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)times}{expleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
Or, as daleif suggests,
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{l}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)}{quadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)}{quadtimesexpleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)}{qquadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)}{qquadtimesexpleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
Thattimesshould start the line, not end it (aka I'd move it in front of exp), I'd probably also give each exp the same indentation from the{, this looks messy.
– daleif
6 hours ago
1
@daleif I have added your suggestion as a 2nd possibility.
– Steven B. Segletes
6 hours ago
1
Also note that the OP missed two)in the first equation, right before the firstright)
– daleif
6 hours ago
add a comment |
5
One possibility...
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{r}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)times}{expleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)times}{expleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
Or, as daleif suggests,
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{l}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)}{quadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)}{quadtimesexpleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)}{qquadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)}{qquadtimesexpleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
Thattimesshould start the line, not end it (aka I'd move it in front of exp), I'd probably also give each exp the same indentation from the{, this looks messy.
– daleif
6 hours ago
1
@daleif I have added your suggestion as a 2nd possibility.
– Steven B. Segletes
6 hours ago
1
Also note that the OP missed two)in the first equation, right before the firstright)
– daleif
6 hours ago
add a comment |
5
5
5
One possibility...
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{r}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)times}{expleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)times}{expleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
Or, as daleif suggests,
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{l}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)}{quadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)}{quadtimesexpleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)}{qquadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)}{qquadtimesexpleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
One possibility...
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{r}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)times}{expleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)times}{expleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)times}{expleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright)quad },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
Or, as daleif suggests,
documentclass{article}
usepackage{amsmath}
usepackage{tabstackengine}
TABstackMath
TABstackMathstyle{displaystyle}
renewcommandstacktype{L}
renewcommandstackalignment{l}
setstackgap{L}{24pt}
begin{document}
begin{equation*}
partial_t u(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x
G(t,x)R(xi^t(x)bigr)}{quadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright)},&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)
partial_x G(t,x)bigr)}{quadtimesexpleft(-int_{t_0}^tpartial_xG(s,
Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
begin{equation*}
partial_x(Gu)(t,x)=left{
begin{array}{l l}
tabbedstackanchor{bigl(partial_xG(t,x)R(xi^t(x))+G(t,x)partial_x
xi^t(x)R'(xi^t(x))bigr)}{qquadtimesexpleft(-int_{xi^t(x)}^tpartial_x
G(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_1\[30pt]
tabbedstackanchor{bigl(partial_xG(t,x)u_0(chi^t(x))+G(t,x)partial_x
chi^t(x)u'_0(chi^t(x))bigr)}{qquadtimesexpleft(-int_{t_0}^tpartial_xG
(s,Phi_{(t,x)}(s)),mbox{d}sright) },&(t,x)in Omega_2\[24pt]
0,&(t,x)inOmega_3
end{array}
right.
end{equation*}
end{document}
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
edited 6 hours ago
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
answered 6 hours ago
Steven B. SegletesSteven B. Segletes
158k9204411
158k9204411
Thattimesshould start the line, not end it (aka I'd move it in front of exp), I'd probably also give each exp the same indentation from the{, this looks messy.
– daleif
6 hours ago
1
@daleif I have added your suggestion as a 2nd possibility.
– Steven B. Segletes
6 hours ago
1
Also note that the OP missed two)in the first equation, right before the firstright)
– daleif
6 hours ago
add a comment |
Thattimesshould start the line, not end it (aka I'd move it in front of exp), I'd probably also give each exp the same indentation from the{, this looks messy.
– daleif
6 hours ago
1
@daleif I have added your suggestion as a 2nd possibility.
– Steven B. Segletes
6 hours ago
1
Also note that the OP missed two)in the first equation, right before the firstright)
– daleif
6 hours ago
That
times should start the line, not end it (aka I'd move it in front of exp), I'd probably also give each exp the same indentation from the {, this looks messy.– daleif
6 hours ago
That
times should start the line, not end it (aka I'd move it in front of exp), I'd probably also give each exp the same indentation from the {, this looks messy.– daleif
6 hours ago
1
1
@daleif I have added your suggestion as a 2nd possibility.
– Steven B. Segletes
6 hours ago
@daleif I have added your suggestion as a 2nd possibility.
– Steven B. Segletes
6 hours ago
1
1
Also note that the OP missed two
) in the first equation, right before the first right)– daleif
6 hours ago
Also note that the OP missed two
) in the first equation, right before the first right)– daleif
6 hours ago
add a comment |
5
There's essentially no chance to fit those formulas in a standard text width.
You can split the big equations, I show two different methods of alignment.
documentclass{article}
usepackage{amsmath,mathtools}
newcommand{diff}{mathop{}!mathrm{d}}
begin{document}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
&bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
&qquadcdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
&bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
&qquadcdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
cdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
cdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
end{document}
Note dcases that avoid clumsy constructions with array and displaystyle.
Also mbox{d} is not the best way to get the (upright) differential symbol. Use mathrm{d}, but I also suggest a better method with the diff command.
answered 6 hours ago
egregegreg
726k8819203228
add a comment |
5
There's essentially no chance to fit those formulas in a standard text width.
You can split the big equations, I show two different methods of alignment.
documentclass{article}
usepackage{amsmath,mathtools}
newcommand{diff}{mathop{}!mathrm{d}}
begin{document}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
&bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
&qquadcdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
&bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
&qquadcdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
cdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
cdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
end{document}
Note dcases that avoid clumsy constructions with array and displaystyle.
Also mbox{d} is not the best way to get the (upright) differential symbol. Use mathrm{d}, but I also suggest a better method with the diff command.
answered 6 hours ago
egregegreg
726k8819203228
add a comment |
5
5
5
There's essentially no chance to fit those formulas in a standard text width.
You can split the big equations, I show two different methods of alignment.
documentclass{article}
usepackage{amsmath,mathtools}
newcommand{diff}{mathop{}!mathrm{d}}
begin{document}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
&bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
&qquadcdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
&bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
&qquadcdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
cdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
cdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
end{document}
Note dcases that avoid clumsy constructions with array and displaystyle.
Also mbox{d} is not the best way to get the (upright) differential symbol. Use mathrm{d}, but I also suggest a better method with the diff command.
answered 6 hours ago
egregegreg
726k8819203228
There's essentially no chance to fit those formulas in a standard text width.
You can split the big equations, I show two different methods of alignment.
documentclass{article}
usepackage{amsmath,mathtools}
newcommand{diff}{mathop{}!mathrm{d}}
begin{document}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
&bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
&qquadcdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
&bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
&qquadcdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr),
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
begin{equation*}
partial_t u(t,x)=
begin{dcases}
begin{aligned}[b]
bigl(partial_t xi^t(x)R'(xi^t(x))-partial_x G(t,x)R(xi^t(x)bigr) \
cdot
expbiggl(-int_{xi^t(x)}^tpartial_x G(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_1\[1.5ex]
begin{aligned}[b]
bigl(partial_tchi^t(x)u'_0(chi^t(x))-u_0(chi^t(x)partial_x G(t,x)bigr) \
cdot
expbiggl(-int_{t_0}^tpartial_xG(s,Phi_{(t,x)}(s))diff sbiggr)&,
end{aligned}
&(t,x)in Omega_2\[1.5ex]
0,&(t,x)inOmega_3
end{dcases}
end{equation*}
end{document}
Note dcases that avoid clumsy constructions with array and displaystyle.
Also mbox{d} is not the best way to get the (upright) differential symbol. Use mathrm{d}, but I also suggest a better method with the diff command.
answered 6 hours ago
egregegreg
726k8819203228
answered 6 hours ago
egregegreg
726k8819203228
answered 6 hours ago
egregegreg
726k8819203228
answered 6 hours ago
egregegreg
726k8819203228
726k8819203228
add a comment |
add a comment |
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Off topic: I think you should use
casesinstead ofarray.– JouleV
6 hours ago
1
(1) always post full minimal examples (MWE) instead of sniplets like this. Full MWE makes it a lot easier for others to test your code. (2) As JouleV mentions use
casesno need to usearray, (3) always be prepared to do rewrites if your equation is too large. Rewrites also often help your readers and too complicated equations are hard to read.– daleif
6 hours ago