Improving format mathematica? about form HOT 5 CLOSED

Maybe, we could always enclose dot products in parentheses, even when not needed. This may be easier to implement than enclosing or not enclosing dot products in parentheses depending on context.

For reference, operator precedence in Mathematica:

https://reference.wolfram.com/language/tutorial/OperatorInputForms.html

The binary operator . (Dot) has a lower precedence than the binary operator ^ (Power).

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I guess Mathematica treats 3.2 as an "atom". So, 3.2^4 is fine.

Indeed,

3.2^a

gives

Power[3.2`, a]

and

p.q^a

gives

Dot[p, Power[q, a]]

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The dot operator perfectly works with vectors/tensors in a reasonable way.

For example, the Mathematica code

{1, 2}.{3, 4}^2

gives

41

This is the same as other languages, like Python:

import numpy as np

a = np.array([1, 2])
b = np.array([3, 4])

a@b**2

which also gives 41, not 121.

I think an expression $p \cdot q^2$ in math or physics papers would be understood as $p \cdot (q^2)$.

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