A binary operator symbol showing a dot within a circle, commonly used for direct products or circular operations in algebra.
Examples
Direct product of groups
G \odot H = \{(g,h) : g \in G, h \in H\}
Tensor product of vectors
\vec{u} \odot \vec{v} = \begin{pmatrix} u_1v_1 \\ u_2v_2 \\ u_3v_3 \end{pmatrix}
Component-wise multiplication of matrices
A \odot B = (a_{ij} \cdot b_{ij})