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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1It is unlikely to be very useful, since it changes when you change basis. – GEdgar Dec 02 '18 at 01:05
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@GEdgar I find it comes up a lot. – Lucas Dec 02 '18 at 03:48
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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 $\circ$.
Mark S.
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