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Cayley's Matrix Notation
Checking whether or not a node has been previously definedMath notation and FontsDouble vertical bar notation“Where” notation in definitionNotation for multivariate normalWhich “bold” style is recommended for matrix notation?Math notation in LaTeX?Physics notationPercent notationSummation notation with an incrementUsing printeranswers environment, how to print solutions in the box without the title “Solutions”
3
Cayley used the following notation in his original paper
A Memoir on the Theory of Matrices 1
My attempt to reproduce the notation is shown below:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
scalebox2.5parbox0.3textwidth$$
renewcommandarraystretch0setlengtharraycolsep0pt
(mathrmX, mathrmY, mathrmZ)=lower10pthbox$beginarrayr@c@,mkern10muc @,mkern10muc@,mkern10muc l
( &a &b & c & )\
lvert& a' &b' & c' &rvert\
lvert& a'' & b'' & c'' & rvert\
endarray$mkern-6mu(x,y,z),
$$
enddocument
As you will observe the delimiters need to be improved. Any suggestions?
math-mode
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
add a comment |
3
Cayley used the following notation in his original paper
A Memoir on the Theory of Matrices 1
My attempt to reproduce the notation is shown below:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
scalebox2.5parbox0.3textwidth$$
renewcommandarraystretch0setlengtharraycolsep0pt
(mathrmX, mathrmY, mathrmZ)=lower10pthbox$beginarrayr@c@,mkern10muc @,mkern10muc@,mkern10muc l
( &a &b & c & )\
lvert& a' &b' & c' &rvert\
lvert& a'' & b'' & c'' & rvert\
endarray$mkern-6mu(x,y,z),
$$
enddocument
As you will observe the delimiters need to be improved. Any suggestions?
math-mode
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
is it just my eyes or am I right in thinking that on its own the () are symmetric pair but the overlapping )( symbol is using thinner more rounded )( to get more of an overlap so not using the matching parens for the outer borders of the matrices....
– David Carlisle
2 hours ago
more$(1,2,3between 4,5,6)$than$(1,2,3)!( 4,5,6)$
– David Carlisle
2 hours ago
@DavidCarlisle No it is the same thickness. There is a link to the Royal Society paper jstor.org/stable/pdf/108649.pdf
– Yiannis Lazarides
2 hours ago
add a comment |
3
3
3
2
Cayley used the following notation in his original paper
A Memoir on the Theory of Matrices 1
My attempt to reproduce the notation is shown below:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
scalebox2.5parbox0.3textwidth$$
renewcommandarraystretch0setlengtharraycolsep0pt
(mathrmX, mathrmY, mathrmZ)=lower10pthbox$beginarrayr@c@,mkern10muc @,mkern10muc@,mkern10muc l
( &a &b & c & )\
lvert& a' &b' & c' &rvert\
lvert& a'' & b'' & c'' & rvert\
endarray$mkern-6mu(x,y,z),
$$
enddocument
As you will observe the delimiters need to be improved. Any suggestions?
math-mode
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
Cayley used the following notation in his original paper
A Memoir on the Theory of Matrices 1
My attempt to reproduce the notation is shown below:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
scalebox2.5parbox0.3textwidth$$
renewcommandarraystretch0setlengtharraycolsep0pt
(mathrmX, mathrmY, mathrmZ)=lower10pthbox$beginarrayr@c@,mkern10muc @,mkern10muc@,mkern10muc l
( &a &b & c & )\
lvert& a' &b' & c' &rvert\
lvert& a'' & b'' & c'' & rvert\
endarray$mkern-6mu(x,y,z),
$$
enddocument
As you will observe the delimiters need to be improved. Any suggestions?
math-mode
math-mode
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
asked 3 hours ago
Yiannis LazaridesYiannis Lazarides
93k21235516
93k21235516
is it just my eyes or am I right in thinking that on its own the () are symmetric pair but the overlapping )( symbol is using thinner more rounded )( to get more of an overlap so not using the matching parens for the outer borders of the matrices....
– David Carlisle
2 hours ago
more$(1,2,3between 4,5,6)$than$(1,2,3)!( 4,5,6)$
– David Carlisle
2 hours ago
@DavidCarlisle No it is the same thickness. There is a link to the Royal Society paper jstor.org/stable/pdf/108649.pdf
– Yiannis Lazarides
2 hours ago
add a comment |
is it just my eyes or am I right in thinking that on its own the () are symmetric pair but the overlapping )( symbol is using thinner more rounded )( to get more of an overlap so not using the matching parens for the outer borders of the matrices....
– David Carlisle
2 hours ago
more$(1,2,3between 4,5,6)$than$(1,2,3)!( 4,5,6)$
– David Carlisle
2 hours ago
@DavidCarlisle No it is the same thickness. There is a link to the Royal Society paper jstor.org/stable/pdf/108649.pdf
– Yiannis Lazarides
2 hours ago
is it just my eyes or am I right in thinking that on its own the () are symmetric pair but the overlapping )( symbol is using thinner more rounded )( to get more of an overlap so not using the matching parens for the outer borders of the matrices....
– David Carlisle
2 hours ago
is it just my eyes or am I right in thinking that on its own the () are symmetric pair but the overlapping )( symbol is using thinner more rounded )( to get more of an overlap so not using the matching parens for the outer borders of the matrices....
– David Carlisle
2 hours ago
more
$(1,2,3between 4,5,6)$ than $(1,2,3)!( 4,5,6)$– David Carlisle
2 hours ago
more
$(1,2,3between 4,5,6)$ than $(1,2,3)!( 4,5,6)$– David Carlisle
2 hours ago
@DavidCarlisle No it is the same thickness. There is a link to the Royal Society paper jstor.org/stable/pdf/108649.pdf
– Yiannis Lazarides
2 hours ago
@DavidCarlisle No it is the same thickness. There is a link to the Royal Society paper jstor.org/stable/pdf/108649.pdf
– Yiannis Lazarides
2 hours ago
add a comment |
4 Answers
4
active
oldest
votes
1
Here is an approximation, with basic commands:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
[ beginarrayc@ccc@c
(mkern 4.2mu & a &b & c &mkern 4.2mu)\[-0.31ex]
vline & a' &b' & c' & vline \
vline & a'' &b'' & c''& vline
endarray ]%
enddocument
answered 1 hour ago
BernardBernard
177k779211
add a comment |
1
My proposal:
documentclassarticle
usepackageamsmath,amssymb,graphicx
DeclareMathSymbolAmathalphaoperators`A
DeclareMathSymbolBmathalphaoperators`B
DeclareMathSymbolCmathalphaoperators`C
DeclareMathSymbolDmathalphaoperators`D
DeclareMathSymbolEmathalphaoperators`E
DeclareMathSymbolFmathalphaoperators`F
DeclareMathSymbolGmathalphaoperators`G
DeclareMathSymbolHmathalphaoperators`H
DeclareMathSymbolImathalphaoperators`I
DeclareMathSymbolJmathalphaoperators`J
DeclareMathSymbolKmathalphaoperators`K
DeclareMathSymbolLmathalphaoperators`L
DeclareMathSymbolMmathalphaoperators`M
DeclareMathSymbolNmathalphaoperators`N
DeclareMathSymbolOmathalphaoperators`O
DeclareMathSymbolPmathalphaoperators`P
DeclareMathSymbolQmathalphaoperators`Q
DeclareMathSymbolRmathalphaoperators`R
DeclareMathSymbolSmathalphaoperators`S
DeclareMathSymbolTmathalphaoperators`T
DeclareMathSymbolUmathalphaoperators`U
DeclareMathSymbolVmathalphaoperators`V
DeclareMathSymbolWmathalphaoperators`W
DeclareMathSymbolXmathalphaoperators`X
DeclareMathSymbolYmathalphaoperators`Y
DeclareMathSymbolZmathalphaoperators`Z
newsaveboxcayleybox
newlengthcayleyheight
newenvironmentcayleymatrix[1]
beginlrboxcayleybox
$beginarray@enspacel*numexpr#1-1@,enspacel@enspace
endarray$endlrbox%
setlengthcayleyheightdimexprhtcayleybox+dpcayleybox%
kern-0.8pt
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
raiseboxdimexprhtstrutbox-htcayleyboxuseboxcayleybox%
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
kern-0.8pt
newcommandbykern-0.4ptbetweenkern-0.4pt
thinmuskip=6mu
medmuskip=0mu
thickmuskip=0mu
begindocument
[ % page 17
(X,Y,Z)=
(begincayleymatrix3
a & b & c \
a' & b' & c' \
a'' & b'' & c''
endcayleymatrix
by x,y,z)
]
[ % page 32
(begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix by
begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix )
=
bigl(
(begincayleymatrix2 a & c \ b & d endcayleymatrixby
begincayleymatrix2 a & b \ c & d endcayleymatrix)
bigr)^2
]
enddocument
answered 1 hour ago
egregegreg
737k8919363264
add a comment |
1
Extending Bernard's idea slightly:
...but not quite up to the standards of egreg's nice solution:)
documentclassarticle
usepackagearray
newcountercayley
newcolumntypeL>stepcountercayley%
ifnumvaluecayley=1raisebox-0.4ex(kern0.5exelsevlinefic@
newcolumntypeR@c<spaceifnumvaluecayley=1kern0.5exraisebox-0.4ex)elsevlinefi
newenvironmentcayley[1][3]setcountercayley0arrayL*#1cRendarray
begindocument
[
begincayley
&a & b & c &\
&a' & b' & c' &\
&a''& b''& c''&\
endcayley
qquad
begincayley[4]
&a & b & c & d &\
&a' & b' & c' & d' &\
&a''& b''& c''& d''&\
endcayley
]
enddocument
answered 35 mins ago
AndrewAndrew
31.4k34483
add a comment |
0
A TikZ proposal. Similarly to Andrew's nice answer you can focus on typing the matrix.
documentclassarticle
usepackagetikz
makeatletter% https://tex.stackexchange.com/a/85531/121799
longdefifnodedefined#1#2#3%
@ifundefinedpgf@sh@ns@#1#3#2%
makeatother
newcounterCM
usetikzlibrarymatrix
newcommandCayleyMatrix[2][]stepcounterCM%
begintikzpicture[baseline=(mat-numbervalueCM-1-1.base),inner sep=2pt,#1]
matrix[matrix of math nodes,ampersand replacement=&] (mat-numbervalueCM)
#2
;
ifnodedefinedmat-numbervalueCM-2-1-mat-numbervalueCM-1-1.north)
(mat-numbervalueCM.south east) -- (mat-numbervalueCM.south east-mat-numbervalueCM-1-1.south) to[out=45,in=-45]
(mat-numbervalueCM.south east
endtikzpicture
begindocument
[CayleyMatrix
X &Y & Z \
=CayleyMatrix
a &b & c \
a' &b' & c' \
a'' & b'' & c'' \
!!CayleyMatrix
x &y & z \
]
enddocument
answered 24 mins ago
marmotmarmot
121k6158296
add a comment |
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4 Answers
4
active
oldest
votes
4 Answers
4
active
oldest
votes
active
oldest
votes
active
oldest
votes
1
Here is an approximation, with basic commands:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
[ beginarrayc@ccc@c
(mkern 4.2mu & a &b & c &mkern 4.2mu)\[-0.31ex]
vline & a' &b' & c' & vline \
vline & a'' &b'' & c''& vline
endarray ]%
enddocument
answered 1 hour ago
BernardBernard
177k779211
add a comment |
1
Here is an approximation, with basic commands:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
[ beginarrayc@ccc@c
(mkern 4.2mu & a &b & c &mkern 4.2mu)\[-0.31ex]
vline & a' &b' & c' & vline \
vline & a'' &b'' & c''& vline
endarray ]%
enddocument
answered 1 hour ago
BernardBernard
177k779211
add a comment |
1
1
1
Here is an approximation, with basic commands:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
[ beginarrayc@ccc@c
(mkern 4.2mu & a &b & c &mkern 4.2mu)\[-0.31ex]
vline & a' &b' & c' & vline \
vline & a'' &b'' & c''& vline
endarray ]%
enddocument
answered 1 hour ago
BernardBernard
177k779211
Here is an approximation, with basic commands:
documentclassarticle
usepackageamsmath,amssymb,graphicx
begindocument
[ beginarrayc@ccc@c
(mkern 4.2mu & a &b & c &mkern 4.2mu)\[-0.31ex]
vline & a' &b' & c' & vline \
vline & a'' &b'' & c''& vline
endarray ]%
enddocument
answered 1 hour ago
BernardBernard
177k779211
answered 1 hour ago
BernardBernard
177k779211
answered 1 hour ago
BernardBernard
177k779211
answered 1 hour ago
BernardBernard
177k779211
177k779211
add a comment |
add a comment |
1
My proposal:
documentclassarticle
usepackageamsmath,amssymb,graphicx
DeclareMathSymbolAmathalphaoperators`A
DeclareMathSymbolBmathalphaoperators`B
DeclareMathSymbolCmathalphaoperators`C
DeclareMathSymbolDmathalphaoperators`D
DeclareMathSymbolEmathalphaoperators`E
DeclareMathSymbolFmathalphaoperators`F
DeclareMathSymbolGmathalphaoperators`G
DeclareMathSymbolHmathalphaoperators`H
DeclareMathSymbolImathalphaoperators`I
DeclareMathSymbolJmathalphaoperators`J
DeclareMathSymbolKmathalphaoperators`K
DeclareMathSymbolLmathalphaoperators`L
DeclareMathSymbolMmathalphaoperators`M
DeclareMathSymbolNmathalphaoperators`N
DeclareMathSymbolOmathalphaoperators`O
DeclareMathSymbolPmathalphaoperators`P
DeclareMathSymbolQmathalphaoperators`Q
DeclareMathSymbolRmathalphaoperators`R
DeclareMathSymbolSmathalphaoperators`S
DeclareMathSymbolTmathalphaoperators`T
DeclareMathSymbolUmathalphaoperators`U
DeclareMathSymbolVmathalphaoperators`V
DeclareMathSymbolWmathalphaoperators`W
DeclareMathSymbolXmathalphaoperators`X
DeclareMathSymbolYmathalphaoperators`Y
DeclareMathSymbolZmathalphaoperators`Z
newsaveboxcayleybox
newlengthcayleyheight
newenvironmentcayleymatrix[1]
beginlrboxcayleybox
$beginarray@enspacel*numexpr#1-1@,enspacel@enspace
endarray$endlrbox%
setlengthcayleyheightdimexprhtcayleybox+dpcayleybox%
kern-0.8pt
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
raiseboxdimexprhtstrutbox-htcayleyboxuseboxcayleybox%
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
kern-0.8pt
newcommandbykern-0.4ptbetweenkern-0.4pt
thinmuskip=6mu
medmuskip=0mu
thickmuskip=0mu
begindocument
[ % page 17
(X,Y,Z)=
(begincayleymatrix3
a & b & c \
a' & b' & c' \
a'' & b'' & c''
endcayleymatrix
by x,y,z)
]
[ % page 32
(begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix by
begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix )
=
bigl(
(begincayleymatrix2 a & c \ b & d endcayleymatrixby
begincayleymatrix2 a & b \ c & d endcayleymatrix)
bigr)^2
]
enddocument
answered 1 hour ago
egregegreg
737k8919363264
add a comment |
1
My proposal:
documentclassarticle
usepackageamsmath,amssymb,graphicx
DeclareMathSymbolAmathalphaoperators`A
DeclareMathSymbolBmathalphaoperators`B
DeclareMathSymbolCmathalphaoperators`C
DeclareMathSymbolDmathalphaoperators`D
DeclareMathSymbolEmathalphaoperators`E
DeclareMathSymbolFmathalphaoperators`F
DeclareMathSymbolGmathalphaoperators`G
DeclareMathSymbolHmathalphaoperators`H
DeclareMathSymbolImathalphaoperators`I
DeclareMathSymbolJmathalphaoperators`J
DeclareMathSymbolKmathalphaoperators`K
DeclareMathSymbolLmathalphaoperators`L
DeclareMathSymbolMmathalphaoperators`M
DeclareMathSymbolNmathalphaoperators`N
DeclareMathSymbolOmathalphaoperators`O
DeclareMathSymbolPmathalphaoperators`P
DeclareMathSymbolQmathalphaoperators`Q
DeclareMathSymbolRmathalphaoperators`R
DeclareMathSymbolSmathalphaoperators`S
DeclareMathSymbolTmathalphaoperators`T
DeclareMathSymbolUmathalphaoperators`U
DeclareMathSymbolVmathalphaoperators`V
DeclareMathSymbolWmathalphaoperators`W
DeclareMathSymbolXmathalphaoperators`X
DeclareMathSymbolYmathalphaoperators`Y
DeclareMathSymbolZmathalphaoperators`Z
newsaveboxcayleybox
newlengthcayleyheight
newenvironmentcayleymatrix[1]
beginlrboxcayleybox
$beginarray@enspacel*numexpr#1-1@,enspacel@enspace
endarray$endlrbox%
setlengthcayleyheightdimexprhtcayleybox+dpcayleybox%
kern-0.8pt
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
raiseboxdimexprhtstrutbox-htcayleyboxuseboxcayleybox%
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
kern-0.8pt
newcommandbykern-0.4ptbetweenkern-0.4pt
thinmuskip=6mu
medmuskip=0mu
thickmuskip=0mu
begindocument
[ % page 17
(X,Y,Z)=
(begincayleymatrix3
a & b & c \
a' & b' & c' \
a'' & b'' & c''
endcayleymatrix
by x,y,z)
]
[ % page 32
(begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix by
begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix )
=
bigl(
(begincayleymatrix2 a & c \ b & d endcayleymatrixby
begincayleymatrix2 a & b \ c & d endcayleymatrix)
bigr)^2
]
enddocument
answered 1 hour ago
egregegreg
737k8919363264
add a comment |
1
1
1
My proposal:
documentclassarticle
usepackageamsmath,amssymb,graphicx
DeclareMathSymbolAmathalphaoperators`A
DeclareMathSymbolBmathalphaoperators`B
DeclareMathSymbolCmathalphaoperators`C
DeclareMathSymbolDmathalphaoperators`D
DeclareMathSymbolEmathalphaoperators`E
DeclareMathSymbolFmathalphaoperators`F
DeclareMathSymbolGmathalphaoperators`G
DeclareMathSymbolHmathalphaoperators`H
DeclareMathSymbolImathalphaoperators`I
DeclareMathSymbolJmathalphaoperators`J
DeclareMathSymbolKmathalphaoperators`K
DeclareMathSymbolLmathalphaoperators`L
DeclareMathSymbolMmathalphaoperators`M
DeclareMathSymbolNmathalphaoperators`N
DeclareMathSymbolOmathalphaoperators`O
DeclareMathSymbolPmathalphaoperators`P
DeclareMathSymbolQmathalphaoperators`Q
DeclareMathSymbolRmathalphaoperators`R
DeclareMathSymbolSmathalphaoperators`S
DeclareMathSymbolTmathalphaoperators`T
DeclareMathSymbolUmathalphaoperators`U
DeclareMathSymbolVmathalphaoperators`V
DeclareMathSymbolWmathalphaoperators`W
DeclareMathSymbolXmathalphaoperators`X
DeclareMathSymbolYmathalphaoperators`Y
DeclareMathSymbolZmathalphaoperators`Z
newsaveboxcayleybox
newlengthcayleyheight
newenvironmentcayleymatrix[1]
beginlrboxcayleybox
$beginarray@enspacel*numexpr#1-1@,enspacel@enspace
endarray$endlrbox%
setlengthcayleyheightdimexprhtcayleybox+dpcayleybox%
kern-0.8pt
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
raiseboxdimexprhtstrutbox-htcayleyboxuseboxcayleybox%
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
kern-0.8pt
newcommandbykern-0.4ptbetweenkern-0.4pt
thinmuskip=6mu
medmuskip=0mu
thickmuskip=0mu
begindocument
[ % page 17
(X,Y,Z)=
(begincayleymatrix3
a & b & c \
a' & b' & c' \
a'' & b'' & c''
endcayleymatrix
by x,y,z)
]
[ % page 32
(begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix by
begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix )
=
bigl(
(begincayleymatrix2 a & c \ b & d endcayleymatrixby
begincayleymatrix2 a & b \ c & d endcayleymatrix)
bigr)^2
]
enddocument
answered 1 hour ago
egregegreg
737k8919363264
My proposal:
documentclassarticle
usepackageamsmath,amssymb,graphicx
DeclareMathSymbolAmathalphaoperators`A
DeclareMathSymbolBmathalphaoperators`B
DeclareMathSymbolCmathalphaoperators`C
DeclareMathSymbolDmathalphaoperators`D
DeclareMathSymbolEmathalphaoperators`E
DeclareMathSymbolFmathalphaoperators`F
DeclareMathSymbolGmathalphaoperators`G
DeclareMathSymbolHmathalphaoperators`H
DeclareMathSymbolImathalphaoperators`I
DeclareMathSymbolJmathalphaoperators`J
DeclareMathSymbolKmathalphaoperators`K
DeclareMathSymbolLmathalphaoperators`L
DeclareMathSymbolMmathalphaoperators`M
DeclareMathSymbolNmathalphaoperators`N
DeclareMathSymbolOmathalphaoperators`O
DeclareMathSymbolPmathalphaoperators`P
DeclareMathSymbolQmathalphaoperators`Q
DeclareMathSymbolRmathalphaoperators`R
DeclareMathSymbolSmathalphaoperators`S
DeclareMathSymbolTmathalphaoperators`T
DeclareMathSymbolUmathalphaoperators`U
DeclareMathSymbolVmathalphaoperators`V
DeclareMathSymbolWmathalphaoperators`W
DeclareMathSymbolXmathalphaoperators`X
DeclareMathSymbolYmathalphaoperators`Y
DeclareMathSymbolZmathalphaoperators`Z
newsaveboxcayleybox
newlengthcayleyheight
newenvironmentcayleymatrix[1]
beginlrboxcayleybox
$beginarray@enspacel*numexpr#1-1@,enspacel@enspace
endarray$endlrbox%
setlengthcayleyheightdimexprhtcayleybox+dpcayleybox%
kern-0.8pt
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
raiseboxdimexprhtstrutbox-htcayleyboxuseboxcayleybox%
vtop to cayleyheighthboxvphantom$between$leadersvrulevfill%
kern-0.8pt
newcommandbykern-0.4ptbetweenkern-0.4pt
thinmuskip=6mu
medmuskip=0mu
thickmuskip=0mu
begindocument
[ % page 17
(X,Y,Z)=
(begincayleymatrix3
a & b & c \
a' & b' & c' \
a'' & b'' & c''
endcayleymatrix
by x,y,z)
]
[ % page 32
(begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix by
begincayleymatrix2 a & c \ b & d endcayleymatrix by
begincayleymatrix2 a & b \ c & d endcayleymatrix )
=
bigl(
(begincayleymatrix2 a & c \ b & d endcayleymatrixby
begincayleymatrix2 a & b \ c & d endcayleymatrix)
bigr)^2
]
enddocument
answered 1 hour ago
egregegreg
737k8919363264
answered 1 hour ago
egregegreg
737k8919363264
answered 1 hour ago
egregegreg
737k8919363264
answered 1 hour ago
egregegreg
737k8919363264
737k8919363264
add a comment |
add a comment |
1
Extending Bernard's idea slightly:
...but not quite up to the standards of egreg's nice solution:)
documentclassarticle
usepackagearray
newcountercayley
newcolumntypeL>stepcountercayley%
ifnumvaluecayley=1raisebox-0.4ex(kern0.5exelsevlinefic@
newcolumntypeR@c<spaceifnumvaluecayley=1kern0.5exraisebox-0.4ex)elsevlinefi
newenvironmentcayley[1][3]setcountercayley0arrayL*#1cRendarray
begindocument
[
begincayley
&a & b & c &\
&a' & b' & c' &\
&a''& b''& c''&\
endcayley
qquad
begincayley[4]
&a & b & c & d &\
&a' & b' & c' & d' &\
&a''& b''& c''& d''&\
endcayley
]
enddocument
answered 35 mins ago
AndrewAndrew
31.4k34483
add a comment |
1
Extending Bernard's idea slightly:
...but not quite up to the standards of egreg's nice solution:)
documentclassarticle
usepackagearray
newcountercayley
newcolumntypeL>stepcountercayley%
ifnumvaluecayley=1raisebox-0.4ex(kern0.5exelsevlinefic@
newcolumntypeR@c<spaceifnumvaluecayley=1kern0.5exraisebox-0.4ex)elsevlinefi
newenvironmentcayley[1][3]setcountercayley0arrayL*#1cRendarray
begindocument
[
begincayley
&a & b & c &\
&a' & b' & c' &\
&a''& b''& c''&\
endcayley
qquad
begincayley[4]
&a & b & c & d &\
&a' & b' & c' & d' &\
&a''& b''& c''& d''&\
endcayley
]
enddocument
answered 35 mins ago
AndrewAndrew
31.4k34483
add a comment |
1
1
1
Extending Bernard's idea slightly:
...but not quite up to the standards of egreg's nice solution:)
documentclassarticle
usepackagearray
newcountercayley
newcolumntypeL>stepcountercayley%
ifnumvaluecayley=1raisebox-0.4ex(kern0.5exelsevlinefic@
newcolumntypeR@c<spaceifnumvaluecayley=1kern0.5exraisebox-0.4ex)elsevlinefi
newenvironmentcayley[1][3]setcountercayley0arrayL*#1cRendarray
begindocument
[
begincayley
&a & b & c &\
&a' & b' & c' &\
&a''& b''& c''&\
endcayley
qquad
begincayley[4]
&a & b & c & d &\
&a' & b' & c' & d' &\
&a''& b''& c''& d''&\
endcayley
]
enddocument
answered 35 mins ago
AndrewAndrew
31.4k34483
Extending Bernard's idea slightly:
...but not quite up to the standards of egreg's nice solution:)
documentclassarticle
usepackagearray
newcountercayley
newcolumntypeL>stepcountercayley%
ifnumvaluecayley=1raisebox-0.4ex(kern0.5exelsevlinefic@
newcolumntypeR@c<spaceifnumvaluecayley=1kern0.5exraisebox-0.4ex)elsevlinefi
newenvironmentcayley[1][3]setcountercayley0arrayL*#1cRendarray
begindocument
[
begincayley
&a & b & c &\
&a' & b' & c' &\
&a''& b''& c''&\
endcayley
qquad
begincayley[4]
&a & b & c & d &\
&a' & b' & c' & d' &\
&a''& b''& c''& d''&\
endcayley
]
enddocument
answered 35 mins ago
AndrewAndrew
31.4k34483
answered 35 mins ago
AndrewAndrew
31.4k34483
answered 35 mins ago
AndrewAndrew
31.4k34483
answered 35 mins ago
AndrewAndrew
31.4k34483
31.4k34483
add a comment |
add a comment |
0
A TikZ proposal. Similarly to Andrew's nice answer you can focus on typing the matrix.
documentclassarticle
usepackagetikz
makeatletter% https://tex.stackexchange.com/a/85531/121799
longdefifnodedefined#1#2#3%
@ifundefinedpgf@sh@ns@#1#3#2%
makeatother
newcounterCM
usetikzlibrarymatrix
newcommandCayleyMatrix[2][]stepcounterCM%
begintikzpicture[baseline=(mat-numbervalueCM-1-1.base),inner sep=2pt,#1]
matrix[matrix of math nodes,ampersand replacement=&] (mat-numbervalueCM)
#2
;
ifnodedefinedmat-numbervalueCM-2-1-mat-numbervalueCM-1-1.north)
(mat-numbervalueCM.south east) -- (mat-numbervalueCM.south east-mat-numbervalueCM-1-1.south) to[out=45,in=-45]
(mat-numbervalueCM.south east
endtikzpicture
begindocument
[CayleyMatrix
X &Y & Z \
=CayleyMatrix
a &b & c \
a' &b' & c' \
a'' & b'' & c'' \
!!CayleyMatrix
x &y & z \
]
enddocument
answered 24 mins ago
marmotmarmot
121k6158296
add a comment |
0
A TikZ proposal. Similarly to Andrew's nice answer you can focus on typing the matrix.
documentclassarticle
usepackagetikz
makeatletter% https://tex.stackexchange.com/a/85531/121799
longdefifnodedefined#1#2#3%
@ifundefinedpgf@sh@ns@#1#3#2%
makeatother
newcounterCM
usetikzlibrarymatrix
newcommandCayleyMatrix[2][]stepcounterCM%
begintikzpicture[baseline=(mat-numbervalueCM-1-1.base),inner sep=2pt,#1]
matrix[matrix of math nodes,ampersand replacement=&] (mat-numbervalueCM)
#2
;
ifnodedefinedmat-numbervalueCM-2-1-mat-numbervalueCM-1-1.north)
(mat-numbervalueCM.south east) -- (mat-numbervalueCM.south east-mat-numbervalueCM-1-1.south) to[out=45,in=-45]
(mat-numbervalueCM.south east
endtikzpicture
begindocument
[CayleyMatrix
X &Y & Z \
=CayleyMatrix
a &b & c \
a' &b' & c' \
a'' & b'' & c'' \
!!CayleyMatrix
x &y & z \
]
enddocument
answered 24 mins ago
marmotmarmot
121k6158296
add a comment |
0
0
0
A TikZ proposal. Similarly to Andrew's nice answer you can focus on typing the matrix.
documentclassarticle
usepackagetikz
makeatletter% https://tex.stackexchange.com/a/85531/121799
longdefifnodedefined#1#2#3%
@ifundefinedpgf@sh@ns@#1#3#2%
makeatother
newcounterCM
usetikzlibrarymatrix
newcommandCayleyMatrix[2][]stepcounterCM%
begintikzpicture[baseline=(mat-numbervalueCM-1-1.base),inner sep=2pt,#1]
matrix[matrix of math nodes,ampersand replacement=&] (mat-numbervalueCM)
#2
;
ifnodedefinedmat-numbervalueCM-2-1-mat-numbervalueCM-1-1.north)
(mat-numbervalueCM.south east) -- (mat-numbervalueCM.south east-mat-numbervalueCM-1-1.south) to[out=45,in=-45]
(mat-numbervalueCM.south east
endtikzpicture
begindocument
[CayleyMatrix
X &Y & Z \
=CayleyMatrix
a &b & c \
a' &b' & c' \
a'' & b'' & c'' \
!!CayleyMatrix
x &y & z \
]
enddocument
answered 24 mins ago
marmotmarmot
121k6158296
A TikZ proposal. Similarly to Andrew's nice answer you can focus on typing the matrix.
documentclassarticle
usepackagetikz
makeatletter% https://tex.stackexchange.com/a/85531/121799
longdefifnodedefined#1#2#3%
@ifundefinedpgf@sh@ns@#1#3#2%
makeatother
newcounterCM
usetikzlibrarymatrix
newcommandCayleyMatrix[2][]stepcounterCM%
begintikzpicture[baseline=(mat-numbervalueCM-1-1.base),inner sep=2pt,#1]
matrix[matrix of math nodes,ampersand replacement=&] (mat-numbervalueCM)
#2
;
ifnodedefinedmat-numbervalueCM-2-1-mat-numbervalueCM-1-1.north)
(mat-numbervalueCM.south east) -- (mat-numbervalueCM.south east-mat-numbervalueCM-1-1.south) to[out=45,in=-45]
(mat-numbervalueCM.south east
endtikzpicture
begindocument
[CayleyMatrix
X &Y & Z \
=CayleyMatrix
a &b & c \
a' &b' & c' \
a'' & b'' & c'' \
!!CayleyMatrix
x &y & z \
]
enddocument
answered 24 mins ago
marmotmarmot
121k6158296
answered 24 mins ago
marmotmarmot
121k6158296
answered 24 mins ago
marmotmarmot
121k6158296
answered 24 mins ago
marmotmarmot
121k6158296
121k6158296
add a comment |
add a comment |
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is it just my eyes or am I right in thinking that on its own the () are symmetric pair but the overlapping )( symbol is using thinner more rounded )( to get more of an overlap so not using the matching parens for the outer borders of the matrices....
– David Carlisle
2 hours ago
more
$(1,2,3between 4,5,6)$than$(1,2,3)!( 4,5,6)$– David Carlisle
2 hours ago
@DavidCarlisle No it is the same thickness. There is a link to the Royal Society paper jstor.org/stable/pdf/108649.pdf
– Yiannis Lazarides
2 hours ago