Name and symbol for “direct” multiplication
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This is a really simple question and I feel pretty stupid for asking it, but what do you call the operation that takes two vectors $(x_1, x_2 ...)$ and $(y_1, y_2 ...)$ and results in a new vector $(x_1 y_1, x_2 y_2 ...)$? And what is the standard symbol for it?
terminology
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
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add a comment |
$begingroup$
This is a really simple question and I feel pretty stupid for asking it, but what do you call the operation that takes two vectors $(x_1, x_2 ...)$ and $(y_1, y_2 ...)$ and results in a new vector $(x_1 y_1, x_2 y_2 ...)$? And what is the standard symbol for it?
terminology
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
$endgroup$
1
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It is unlikely to be very useful, since it changes when you change basis.
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– GEdgar
Dec 2 '18 at 1:05
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@GEdgar I find it comes up a lot.
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– Lucas
Dec 2 '18 at 3:48
add a comment |
$begingroup$
This is a really simple question and I feel pretty stupid for asking it, but what do you call the operation that takes two vectors $(x_1, x_2 ...)$ and $(y_1, y_2 ...)$ and results in a new vector $(x_1 y_1, x_2 y_2 ...)$? And what is the standard symbol for it?
terminology
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
$endgroup$
This is a really simple question and I feel pretty stupid for asking it, but what do you call the operation that takes two vectors $(x_1, x_2 ...)$ and $(y_1, y_2 ...)$ and results in a new vector $(x_1 y_1, x_2 y_2 ...)$? And what is the standard symbol for it?
terminology
terminology
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
asked Dec 2 '18 at 0:54
LucasLucas
1,032720
1,032720
1
$begingroup$
It is unlikely to be very useful, since it changes when you change basis.
$endgroup$
– GEdgar
Dec 2 '18 at 1:05
$begingroup$
@GEdgar I find it comes up a lot.
$endgroup$
– Lucas
Dec 2 '18 at 3:48
add a comment |
1
$begingroup$
It is unlikely to be very useful, since it changes when you change basis.
$endgroup$
– GEdgar
Dec 2 '18 at 1:05
$begingroup$
@GEdgar I find it comes up a lot.
$endgroup$
– Lucas
Dec 2 '18 at 3:48
1
1
$begingroup$
It is unlikely to be very useful, since it changes when you change basis.
$endgroup$
– GEdgar
Dec 2 '18 at 1:05
$begingroup$
It is unlikely to be very useful, since it changes when you change basis.
$endgroup$
– GEdgar
Dec 2 '18 at 1:05
$begingroup$
@GEdgar I find it comes up a lot.
$endgroup$
– Lucas
Dec 2 '18 at 3:48
$begingroup$
@GEdgar I find it comes up a lot.
$endgroup$
– Lucas
Dec 2 '18 at 3:48
add a comment |
1 Answer
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This is the "entrywise" product. If you treat the vectors as matrices, it's also the Hadamard product.
It's not a common enough product to have a dedicated symbol, but Wikipedia uses $circ$.
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
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add a comment |
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$begingroup$
This is the "entrywise" product. If you treat the vectors as matrices, it's also the Hadamard product.
It's not a common enough product to have a dedicated symbol, but Wikipedia uses $circ$.
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
$endgroup$
add a comment |
$begingroup$
This is the "entrywise" product. If you treat the vectors as matrices, it's also the Hadamard product.
It's not a common enough product to have a dedicated symbol, but Wikipedia uses $circ$.
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
$endgroup$
add a comment |
$begingroup$
This is the "entrywise" product. If you treat the vectors as matrices, it's also the Hadamard product.
It's not a common enough product to have a dedicated symbol, but Wikipedia uses $circ$.
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
$endgroup$
This is the "entrywise" product. If you treat the vectors as matrices, it's also the Hadamard product.
It's not a common enough product to have a dedicated symbol, but Wikipedia uses $circ$.
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
answered Dec 2 '18 at 1:04
Mark S.Mark S.
11.7k22669
11.7k22669
add a comment |
add a comment |
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1
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It is unlikely to be very useful, since it changes when you change basis.
$endgroup$
– GEdgar
Dec 2 '18 at 1:05
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@GEdgar I find it comes up a lot.
$endgroup$
– Lucas
Dec 2 '18 at 3:48