Matlab has a set of dot operators, such as .*, ./, .^. Each of these operators consists of a dot and a normal algebraic operator. They perform element-wise algebraic operations on a matrix. For example, consider the following codes

A = [1 2 3; 3 2 1];
x = [1 2 4];

B = A.^2
y = 1./x

The result is

B =

     1     4     9
     9     4     1

y =

     1.0000    0.5000    0.2500

I find these dot operators very convenient. My question is, how to write these dot operators in mathematical expressions? (By mathematical expressions, I mean the expressions used in proofs.)enter code here

Matlab has a set of dot operators, such as .*, ./, .^. Each of these operators consists of a dot and a normal algebraic operator. They perform element-wise algebraic operations on a matrix. For example, consider the following codes

A = [1 2 3; 3 2 1];
x = [1 2 4];

B = A.^2
y = 1./x

The result is

B =

     1     4     9
     9     4     1

y =

     1.0000    0.5000    0.2500

I find these dot operators very convenient. My question is, how to write these dot operators in mathematical expressions? (By mathematical expressions, I mean the expressions used in proofs.)

EDIT - One obvious way is to define the result matrix element-wise. But is there a way to write this result in a more compact manner?