Alignment of six matrices
2
I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...
An MWE to the problem:
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
I _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
I _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....
align
edited 2 hours ago
Bernard
173k776205
asked 2 hours ago
Marius JaegerMarius Jaeger
254
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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add a comment |
2
I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...
An MWE to the problem:
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
I _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
I _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....
align
edited 2 hours ago
Bernard
173k776205
asked 2 hours ago
Marius JaegerMarius Jaeger
254
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
2
2
2
I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...
An MWE to the problem:
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
I _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
I _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....
align
edited 2 hours ago
Bernard
173k776205
asked 2 hours ago
Marius JaegerMarius Jaeger
254
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...
An MWE to the problem:
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
I _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
I _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 2 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
J _ { 3 } &&=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
Note: I'm aware that most of the {} are useless here but the matrices were generated by Mathpix....
align
align
edited 2 hours ago
Bernard
173k776205
asked 2 hours ago
Marius JaegerMarius Jaeger
254
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 hours ago
Bernard
173k776205
asked 2 hours ago
Marius JaegerMarius Jaeger
254
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 hours ago
Bernard
173k776205
edited 2 hours ago
Bernard
173k776205
edited 2 hours ago
Bernard
173k776205
173k776205
asked 2 hours ago
Marius JaegerMarius Jaeger
254
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 hours ago
Marius JaegerMarius Jaeger
254
asked 2 hours ago
Marius JaegerMarius Jaeger
254
254
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
4
I just moved the &
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
&I _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
&I _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
David and his movement made me feel good.
– manooooh
2 hours ago
1
@marmot I didn't look at them (as I say I just moved the&) but what about them?
– David Carlisle
1 hour ago
@marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)
– David Carlisle
50 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
45 mins ago
Yes. My question was whether you are sure about the sign and you responded "but what about them?" and I told you why I find the choice of signs odd. Of course, strictly speaking there is no need to fix it, and if someone asks you to typesetE=mc^5you could also do that. Really, this was just a comment saying that I would add different signs such that[I_i,J_j]=(universal constant) varepsilon_{ijk} I_k. Will remove my comments.
– marmot
39 mins ago
|
show 4 more comments
2
Uniform alignment everywhere...
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
usepackage{tabstackengine}
setstacktabbedgap{1ex}
begin{document}
fixTABwidth{T}
begin{align*}
I _ { 1 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & { 1 } \
0 & 0 & { - 1 } & 0
},&&
I _ { 2 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
}, &&
I _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
}, \
J _ { 1 } =
parenMatrixstack[r]{
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 2 } =
parenMatrixstack[r]{
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & { - 1 } \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
}.
end{align*}
end{document}
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
add a comment |
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2 Answers
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2 Answers
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4
I just moved the &
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
&I _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
&I _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
David and his movement made me feel good.
– manooooh
2 hours ago
1
@marmot I didn't look at them (as I say I just moved the&) but what about them?
– David Carlisle
1 hour ago
@marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)
– David Carlisle
50 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
45 mins ago
Yes. My question was whether you are sure about the sign and you responded "but what about them?" and I told you why I find the choice of signs odd. Of course, strictly speaking there is no need to fix it, and if someone asks you to typesetE=mc^5you could also do that. Really, this was just a comment saying that I would add different signs such that[I_i,J_j]=(universal constant) varepsilon_{ijk} I_k. Will remove my comments.
– marmot
39 mins ago
|
show 4 more comments
4
I just moved the &
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
&I _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
&I _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
David and his movement made me feel good.
– manooooh
2 hours ago
1
@marmot I didn't look at them (as I say I just moved the&) but what about them?
– David Carlisle
1 hour ago
@marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)
– David Carlisle
50 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
45 mins ago
Yes. My question was whether you are sure about the sign and you responded "but what about them?" and I told you why I find the choice of signs odd. Of course, strictly speaking there is no need to fix it, and if someone asks you to typesetE=mc^5you could also do that. Really, this was just a comment saying that I would add different signs such that[I_i,J_j]=(universal constant) varepsilon_{ijk} I_k. Will remove my comments.
– marmot
39 mins ago
|
show 4 more comments
4
4
4
I just moved the &
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
&I _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
&I _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
I just moved the &
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
begin{document}
begin{align*}
I _ { 1 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { - 1 } & { 0 }
end{pmatrix},
&I _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { -1} & { 0 } & { 0 }
end{pmatrix},
&I _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 1 } & { 0 } \
{ 0 } & { -1 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix}, \
J _ { 1 } &=
begin{pmatrix}
{ 0 } & { -1} & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 2 } &=
begin{pmatrix}
{ 0 } & { 0 } & { -1} & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ -1} & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 }
end{pmatrix},
&J _ { 3 } &=
begin{pmatrix}
{ 0 } & { 0 } & { 0 } & { - 1 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ 0 } & { 0 } & { 0 } & { 0 } \
{ - 1 } & { 0 } & { 0 } & { 0 }
end{pmatrix}.
end{align*}
end{document}
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
495k4111391887
David and his movement made me feel good.
– manooooh
2 hours ago
1
@marmot I didn't look at them (as I say I just moved the&) but what about them?
– David Carlisle
1 hour ago
@marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)
– David Carlisle
50 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
45 mins ago
Yes. My question was whether you are sure about the sign and you responded "but what about them?" and I told you why I find the choice of signs odd. Of course, strictly speaking there is no need to fix it, and if someone asks you to typesetE=mc^5you could also do that. Really, this was just a comment saying that I would add different signs such that[I_i,J_j]=(universal constant) varepsilon_{ijk} I_k. Will remove my comments.
– marmot
39 mins ago
|
show 4 more comments
David and his movement made me feel good.
– manooooh
2 hours ago
1
@marmot I didn't look at them (as I say I just moved the&) but what about them?
– David Carlisle
1 hour ago
@marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)
– David Carlisle
50 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
45 mins ago
Yes. My question was whether you are sure about the sign and you responded "but what about them?" and I told you why I find the choice of signs odd. Of course, strictly speaking there is no need to fix it, and if someone asks you to typesetE=mc^5you could also do that. Really, this was just a comment saying that I would add different signs such that[I_i,J_j]=(universal constant) varepsilon_{ijk} I_k. Will remove my comments.
– marmot
39 mins ago
David and his movement made me feel good.
– manooooh
2 hours ago
David and his movement made me feel good.
– manooooh
2 hours ago
1
1
@marmot I didn't look at them (as I say I just moved the
& ) but what about them?– David Carlisle
1 hour ago
@marmot I didn't look at them (as I say I just moved the
& ) but what about them?– David Carlisle
1 hour ago
@marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)
– David Carlisle
50 mins ago
@marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)
– David Carlisle
50 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
45 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
45 mins ago
Yes. My question was whether you are sure about the sign and you responded "but what about them?" and I told you why I find the choice of signs odd. Of course, strictly speaking there is no need to fix it, and if someone asks you to typeset
E=mc^5 you could also do that. Really, this was just a comment saying that I would add different signs such that [I_i,J_j]=(universal constant) varepsilon_{ijk} I_k. Will remove my comments.– marmot
39 mins ago
Yes. My question was whether you are sure about the sign and you responded "but what about them?" and I told you why I find the choice of signs odd. Of course, strictly speaking there is no need to fix it, and if someone asks you to typeset
E=mc^5 you could also do that. Really, this was just a comment saying that I would add different signs such that [I_i,J_j]=(universal constant) varepsilon_{ijk} I_k. Will remove my comments.– marmot
39 mins ago
|
show 4 more comments
2
Uniform alignment everywhere...
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
usepackage{tabstackengine}
setstacktabbedgap{1ex}
begin{document}
fixTABwidth{T}
begin{align*}
I _ { 1 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & { 1 } \
0 & 0 & { - 1 } & 0
},&&
I _ { 2 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
}, &&
I _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
}, \
J _ { 1 } =
parenMatrixstack[r]{
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 2 } =
parenMatrixstack[r]{
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & { - 1 } \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
}.
end{align*}
end{document}
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
add a comment |
2
Uniform alignment everywhere...
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
usepackage{tabstackengine}
setstacktabbedgap{1ex}
begin{document}
fixTABwidth{T}
begin{align*}
I _ { 1 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & { 1 } \
0 & 0 & { - 1 } & 0
},&&
I _ { 2 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
}, &&
I _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
}, \
J _ { 1 } =
parenMatrixstack[r]{
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 2 } =
parenMatrixstack[r]{
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & { - 1 } \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
}.
end{align*}
end{document}
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
add a comment |
2
2
2
Uniform alignment everywhere...
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
usepackage{tabstackengine}
setstacktabbedgap{1ex}
begin{document}
fixTABwidth{T}
begin{align*}
I _ { 1 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & { 1 } \
0 & 0 & { - 1 } & 0
},&&
I _ { 2 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
}, &&
I _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
}, \
J _ { 1 } =
parenMatrixstack[r]{
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 2 } =
parenMatrixstack[r]{
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & { - 1 } \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
}.
end{align*}
end{document}
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
Uniform alignment everywhere...
documentclass{article}
usepackage[margin=2.5cm]{geometry}
usepackage{amssymb, amsthm, mathtools}
usepackage{tabstackengine}
setstacktabbedgap{1ex}
begin{document}
fixTABwidth{T}
begin{align*}
I _ { 1 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & { 1 } \
0 & 0 & { - 1 } & 0
},&&
I _ { 2 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
}, &&
I _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
}, \
J _ { 1 } =
parenMatrixstack[r]{
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 2 } =
parenMatrixstack[r]{
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
},&&
J _ { 3 } =
parenMatrixstack[r]{
0 & 0 & 0 & { - 1 } \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
}.
end{align*}
end{document}
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
158k9204411
add a comment |
add a comment |
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Marius Jaeger is a new contributor. Be nice, and check out our Code of Conduct.
Marius Jaeger is a new contributor. Be nice, and check out our Code of Conduct.
Marius Jaeger is a new contributor. Be nice, and check out our Code of Conduct.
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