Given two vectors of size $n$ $$u = [u_1, u_2, u_3, ..., u_n ] $$ and $$v = [v_1, v_2, v_3, ..., v_n ] $$

What is the name of the operation "$u ? v$" such that the result is a vector of size $n$ of the form $$u ? v = [v_1 \times u_1, v_2 \times u_2, v_3\times u_3, ..., v_n \times u_n ]$$

For want of a better name, I have termed it "piecewise vector multiplication".

What is this operation normally known as in the literature?