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Alignment of six matrices
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Alignment of six matrices
Why does aligning equations not work here?Multiple matrix equations, alignmentMultiple alignmentAlignment with bracketsWhy align environement does not work with “extract ”package?Align matrices problemAlignment and line breaking in alignment environmentAllow page breaks in a gather environment with a nested alignEquation Alignment with Hierarchical Left AlignmentLong series alignmentMultiple = alignmentMultiline equation with matrices
3
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:
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
I _ 2 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
I _ 3 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 2 &&=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 3 &&=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
304
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 |
3
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:
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
I _ 2 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
I _ 3 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 2 &&=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 3 &&=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
304
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 |
3
3
3
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:
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
I _ 2 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
I _ 3 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 2 &&=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 3 &&=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
304
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:
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
I _ 2 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
I _ 3 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 2 &&=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 3 &&=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
304
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
304
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
304
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
304
asked 2 hours ago
Marius JaegerMarius Jaeger
304
304
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
5
I just moved the &
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
&I _ 2 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
&I _ 3 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 2 &=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 3 &=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
58 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
53 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
46 mins ago
|
show 4 more comments
3
Uniform alignment everywhere...
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
usepackagetabstackengine
setstacktabbedgap1ex
begindocument
fixTABwidthT
beginalign*
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
.
endalign*
enddocument
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
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
5
I just moved the &
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
&I _ 2 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
&I _ 3 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 2 &=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 3 &=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
58 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
53 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
46 mins ago
|
show 4 more comments
5
I just moved the &
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
&I _ 2 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
&I _ 3 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 2 &=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 3 &=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
58 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
53 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
46 mins ago
|
show 4 more comments
5
5
5
I just moved the &
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
&I _ 2 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
&I _ 3 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 2 &=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 3 &=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
answered 2 hours ago
David CarlisleDavid Carlisle
495k4111391887
I just moved the &
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
&I _ 2 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
&I _ 3 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 2 &=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
&J _ 3 &=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument
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
58 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
53 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
46 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
58 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
53 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
46 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
58 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
58 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
53 mins ago
@marmot TeX takes no position on mathematical accuracy, so long as it looks nice.
– David Carlisle
53 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
46 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
46 mins ago
|
show 4 more comments
3
Uniform alignment everywhere...
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
usepackagetabstackengine
setstacktabbedgap1ex
begindocument
fixTABwidthT
beginalign*
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
.
endalign*
enddocument
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
add a comment |
3
Uniform alignment everywhere...
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
usepackagetabstackengine
setstacktabbedgap1ex
begindocument
fixTABwidthT
beginalign*
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
.
endalign*
enddocument
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
add a comment |
3
3
3
Uniform alignment everywhere...
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
usepackagetabstackengine
setstacktabbedgap1ex
begindocument
fixTABwidthT
beginalign*
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
.
endalign*
enddocument
answered 1 hour ago
Steven B. SegletesSteven B. Segletes
158k9204411
Uniform alignment everywhere...
documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
usepackagetabstackengine
setstacktabbedgap1ex
begindocument
fixTABwidthT
beginalign*
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
.
endalign*
enddocument
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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