Notation for Hadamard product

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For multiplying matrices $A_1, ..., A_n$ together I can use the notation $\prod_{i=1}^n A_i$. What is the corresponding notation if these are element-wise multiplications?

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That would be the Hadamard Product.

Defined by, for any two $m \times n$ matrices $A$ and $B$: $$(A \circ B)_{ij} = A_{ij} B_{ij}$$