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\cdot for matrix multiplication and the dot product, \times for cross product and nothing (or *, if I want to write it explicitly and have no convolution in the expression) for regular multiplication.
\cdot
\times
*
or *, if I want to write it explicitly and have no convolution in the expression
But why
'*' is commonly used for multiplication in computer programming, so it's probably that. Also in your calculator app
This is the way
** for power?
^ for power. ** is usually in a programming setting (but it‘s usually a method and not an operator there.)
^
**