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?






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    $begingroup$
    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












$begingroup$


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







share|cite|improve this question









$endgroup$








  • 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








1





$begingroup$


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







share|cite|improve this question









$endgroup$




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






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










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














  • 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










1 Answer
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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 $circ$.






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    1 Answer
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    1 Answer
    1






    active

    oldest

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    active

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    active

    oldest

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    3












    $begingroup$

    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 $circ$.






    share|cite|improve this answer









    $endgroup$


















      3












      $begingroup$

      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 $circ$.






      share|cite|improve this answer









      $endgroup$
















        3












        3








        3





        $begingroup$

        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 $circ$.






        share|cite|improve this answer









        $endgroup$



        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 $circ$.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 2 '18 at 1:04









        Mark S.Mark S.

        11.7k22669




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