Question about aligning equations
When using begin{align}end{align},do I use & or \, or both, to get equations to appear on successive lines
I have a number of equations I would like to appear on successive lines. E.g.
a=b
c=d
.
.
.
e=f
etc... lined up, like such.
mathjax
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
migrated from stackoverflow.com Jan 20 at 14:53
This question came from our site for professional and enthusiast programmers.
add a comment |
When using begin{align}end{align},do I use & or \, or both, to get equations to appear on successive lines
I have a number of equations I would like to appear on successive lines. E.g.
a=b
c=d
.
.
.
e=f
etc... lined up, like such.
mathjax
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
migrated from stackoverflow.com Jan 20 at 14:53
This question came from our site for professional and enthusiast programmers.
Did you try both options (see title)? Please review writing the perfect question to help you to ask a good question, and thus get a good answer.
– Jeroen Heier
Jan 19 at 7:28
I did try both. It seems only " \" is necessary.
– Chris Custer
Jan 19 at 8:27
add a comment |
When using begin{align}end{align},do I use & or \, or both, to get equations to appear on successive lines
I have a number of equations I would like to appear on successive lines. E.g.
a=b
c=d
.
.
.
e=f
etc... lined up, like such.
mathjax
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
When using begin{align}end{align},do I use & or \, or both, to get equations to appear on successive lines
I have a number of equations I would like to appear on successive lines. E.g.
a=b
c=d
.
.
.
e=f
etc... lined up, like such.
mathjax
mathjax
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
edited 9 mins ago
Chris Custer
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
asked Jan 19 at 7:20
Chris CusterChris Custer
1014
1014
migrated from stackoverflow.com Jan 20 at 14:53
This question came from our site for professional and enthusiast programmers.
migrated from stackoverflow.com Jan 20 at 14:53
This question came from our site for professional and enthusiast programmers.
Did you try both options (see title)? Please review writing the perfect question to help you to ask a good question, and thus get a good answer.
– Jeroen Heier
Jan 19 at 7:28
I did try both. It seems only " \" is necessary.
– Chris Custer
Jan 19 at 8:27
add a comment |
Did you try both options (see title)? Please review writing the perfect question to help you to ask a good question, and thus get a good answer.
– Jeroen Heier
Jan 19 at 7:28
I did try both. It seems only " \" is necessary.
– Chris Custer
Jan 19 at 8:27
Did you try both options (see title)? Please review writing the perfect question to help you to ask a good question, and thus get a good answer.
– Jeroen Heier
Jan 19 at 7:28
Did you try both options (see title)? Please review writing the perfect question to help you to ask a good question, and thus get a good answer.
– Jeroen Heier
Jan 19 at 7:28
I did try both. It seems only " \" is necessary.
– Chris Custer
Jan 19 at 8:27
I did try both. It seems only " \" is necessary.
– Chris Custer
Jan 19 at 8:27
add a comment |
2 Answers
2
active
oldest
votes
align sets a display math environment where & is used as alignment points (and separation between alignments) while \ is used to separate equations vertically. It works similar to an array or tabular. You don't have to use & in an align, but \ is necessary to put equations on different lines.
documentclass{article}
usepackage{amsmath}
begin{document}
begin{align}
f'(x) &= e^x (sin x + cos x) \
implies f''(x) &= 2e^x cos x \
implies f^3(x) &= 2e^x (cos x - sin x) \
implies f^4(x) &= 2e^x (-2sin x) = -4 f(x) \
implies f^5(x) &= -4 f'(x) \
implies f^8(x) &= -4 f^4(x) = 16 f(x) \
implies f^{10}(x) &= 16 f''(x)
end{align}
end{document}
If you're using MathJax, the same principle holds.
answered Jan 19 at 19:32
WernerWerner
444k689791680
add a comment |
It looks as if both were used in this edit of one of my posts:
$begin{align}f'(x)&=e^x(sin x+cos x)\
implies f''(x)&=2e^xcos x\
implies f^3(x)&=2e^x(cos x-sin x)\
implies f^4(x)&=2e^x(-2sin x)=-4f(x)\
implies f^5(x)&=-4f'(x)\
implies f^8(x)&=-4f^4(x)=16f(x)\
implies f^{10}(x)&=16f''(x)end{align}$
I get the impression the &'s aren't really necessary, though. But when I took one '&' out, it didn't render (presumably I could take them all out).
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
1
This is wrong;begin{align}...end{align}should not appear inside math mode$...$as it sets itself as a display math construction already.
– Werner
Jan 19 at 19:28
1
You can verify this on Mathematics.
– Werner
Jan 19 at 19:35
Thanks for the heads up.
– Chris Custer
Jan 19 at 20:39
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
align sets a display math environment where & is used as alignment points (and separation between alignments) while \ is used to separate equations vertically. It works similar to an array or tabular. You don't have to use & in an align, but \ is necessary to put equations on different lines.
documentclass{article}
usepackage{amsmath}
begin{document}
begin{align}
f'(x) &= e^x (sin x + cos x) \
implies f''(x) &= 2e^x cos x \
implies f^3(x) &= 2e^x (cos x - sin x) \
implies f^4(x) &= 2e^x (-2sin x) = -4 f(x) \
implies f^5(x) &= -4 f'(x) \
implies f^8(x) &= -4 f^4(x) = 16 f(x) \
implies f^{10}(x) &= 16 f''(x)
end{align}
end{document}
If you're using MathJax, the same principle holds.
answered Jan 19 at 19:32
WernerWerner
444k689791680
add a comment |
align sets a display math environment where & is used as alignment points (and separation between alignments) while \ is used to separate equations vertically. It works similar to an array or tabular. You don't have to use & in an align, but \ is necessary to put equations on different lines.
documentclass{article}
usepackage{amsmath}
begin{document}
begin{align}
f'(x) &= e^x (sin x + cos x) \
implies f''(x) &= 2e^x cos x \
implies f^3(x) &= 2e^x (cos x - sin x) \
implies f^4(x) &= 2e^x (-2sin x) = -4 f(x) \
implies f^5(x) &= -4 f'(x) \
implies f^8(x) &= -4 f^4(x) = 16 f(x) \
implies f^{10}(x) &= 16 f''(x)
end{align}
end{document}
If you're using MathJax, the same principle holds.
answered Jan 19 at 19:32
WernerWerner
444k689791680
add a comment |
align sets a display math environment where & is used as alignment points (and separation between alignments) while \ is used to separate equations vertically. It works similar to an array or tabular. You don't have to use & in an align, but \ is necessary to put equations on different lines.
documentclass{article}
usepackage{amsmath}
begin{document}
begin{align}
f'(x) &= e^x (sin x + cos x) \
implies f''(x) &= 2e^x cos x \
implies f^3(x) &= 2e^x (cos x - sin x) \
implies f^4(x) &= 2e^x (-2sin x) = -4 f(x) \
implies f^5(x) &= -4 f'(x) \
implies f^8(x) &= -4 f^4(x) = 16 f(x) \
implies f^{10}(x) &= 16 f''(x)
end{align}
end{document}
If you're using MathJax, the same principle holds.
answered Jan 19 at 19:32
WernerWerner
444k689791680
align sets a display math environment where & is used as alignment points (and separation between alignments) while \ is used to separate equations vertically. It works similar to an array or tabular. You don't have to use & in an align, but \ is necessary to put equations on different lines.
documentclass{article}
usepackage{amsmath}
begin{document}
begin{align}
f'(x) &= e^x (sin x + cos x) \
implies f''(x) &= 2e^x cos x \
implies f^3(x) &= 2e^x (cos x - sin x) \
implies f^4(x) &= 2e^x (-2sin x) = -4 f(x) \
implies f^5(x) &= -4 f'(x) \
implies f^8(x) &= -4 f^4(x) = 16 f(x) \
implies f^{10}(x) &= 16 f''(x)
end{align}
end{document}
If you're using MathJax, the same principle holds.
answered Jan 19 at 19:32
WernerWerner
444k689791680
answered Jan 19 at 19:32
WernerWerner
444k689791680
answered Jan 19 at 19:32
WernerWerner
444k689791680
answered Jan 19 at 19:32
WernerWerner
444k689791680
444k689791680
add a comment |
add a comment |
It looks as if both were used in this edit of one of my posts:
$begin{align}f'(x)&=e^x(sin x+cos x)\
implies f''(x)&=2e^xcos x\
implies f^3(x)&=2e^x(cos x-sin x)\
implies f^4(x)&=2e^x(-2sin x)=-4f(x)\
implies f^5(x)&=-4f'(x)\
implies f^8(x)&=-4f^4(x)=16f(x)\
implies f^{10}(x)&=16f''(x)end{align}$
I get the impression the &'s aren't really necessary, though. But when I took one '&' out, it didn't render (presumably I could take them all out).
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
1
This is wrong;begin{align}...end{align}should not appear inside math mode$...$as it sets itself as a display math construction already.
– Werner
Jan 19 at 19:28
1
You can verify this on Mathematics.
– Werner
Jan 19 at 19:35
Thanks for the heads up.
– Chris Custer
Jan 19 at 20:39
add a comment |
It looks as if both were used in this edit of one of my posts:
$begin{align}f'(x)&=e^x(sin x+cos x)\
implies f''(x)&=2e^xcos x\
implies f^3(x)&=2e^x(cos x-sin x)\
implies f^4(x)&=2e^x(-2sin x)=-4f(x)\
implies f^5(x)&=-4f'(x)\
implies f^8(x)&=-4f^4(x)=16f(x)\
implies f^{10}(x)&=16f''(x)end{align}$
I get the impression the &'s aren't really necessary, though. But when I took one '&' out, it didn't render (presumably I could take them all out).
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
1
This is wrong;begin{align}...end{align}should not appear inside math mode$...$as it sets itself as a display math construction already.
– Werner
Jan 19 at 19:28
1
You can verify this on Mathematics.
– Werner
Jan 19 at 19:35
Thanks for the heads up.
– Chris Custer
Jan 19 at 20:39
add a comment |
It looks as if both were used in this edit of one of my posts:
$begin{align}f'(x)&=e^x(sin x+cos x)\
implies f''(x)&=2e^xcos x\
implies f^3(x)&=2e^x(cos x-sin x)\
implies f^4(x)&=2e^x(-2sin x)=-4f(x)\
implies f^5(x)&=-4f'(x)\
implies f^8(x)&=-4f^4(x)=16f(x)\
implies f^{10}(x)&=16f''(x)end{align}$
I get the impression the &'s aren't really necessary, though. But when I took one '&' out, it didn't render (presumably I could take them all out).
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
It looks as if both were used in this edit of one of my posts:
$begin{align}f'(x)&=e^x(sin x+cos x)\
implies f''(x)&=2e^xcos x\
implies f^3(x)&=2e^x(cos x-sin x)\
implies f^4(x)&=2e^x(-2sin x)=-4f(x)\
implies f^5(x)&=-4f'(x)\
implies f^8(x)&=-4f^4(x)=16f(x)\
implies f^{10}(x)&=16f''(x)end{align}$
I get the impression the &'s aren't really necessary, though. But when I took one '&' out, it didn't render (presumably I could take them all out).
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
answered Jan 19 at 7:43
Chris CusterChris Custer
1014
1014
1
This is wrong;begin{align}...end{align}should not appear inside math mode$...$as it sets itself as a display math construction already.
– Werner
Jan 19 at 19:28
1
You can verify this on Mathematics.
– Werner
Jan 19 at 19:35
Thanks for the heads up.
– Chris Custer
Jan 19 at 20:39
add a comment |
1
This is wrong;begin{align}...end{align}should not appear inside math mode$...$as it sets itself as a display math construction already.
– Werner
Jan 19 at 19:28
1
You can verify this on Mathematics.
– Werner
Jan 19 at 19:35
Thanks for the heads up.
– Chris Custer
Jan 19 at 20:39
1
1
This is wrong;
begin{align}...end{align} should not appear inside math mode $...$ as it sets itself as a display math construction already.– Werner
Jan 19 at 19:28
This is wrong;
begin{align}...end{align} should not appear inside math mode $...$ as it sets itself as a display math construction already.– Werner
Jan 19 at 19:28
1
1
You can verify this on Mathematics.
– Werner
Jan 19 at 19:35
You can verify this on Mathematics.
– Werner
Jan 19 at 19:35
Thanks for the heads up.
– Chris Custer
Jan 19 at 20:39
Thanks for the heads up.
– Chris Custer
Jan 19 at 20:39
add a comment |
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Did you try both options (see title)? Please review writing the perfect question to help you to ask a good question, and thus get a good answer.
– Jeroen Heier
Jan 19 at 7:28
I did try both. It seems only " \" is necessary.
– Chris Custer
Jan 19 at 8:27