Melody

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Melody  11 feb 2022
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I didn't know that you spelt caret like that!  I learn some thing every day!

This is an exerpt from Wolfram|alpha,

It seems the shape is a caret, but the symbol is a hat.

Just a technicality, I know - I am sure either is fine.

Hat

The hat is a caret-shaped symbol commonly placed on top of variables to give them special meaning. The symbol x^^ is voiced "x-hat" (or sometimes as "x-roof") in mathematics, but is more commonly known as the circumflex in linguistics (Bringhurst 1997, p. 274).

Uses of the hat in mathematics include:

1. To denote a unit vector (e.g., v^^) or an estimator (e.g., x^^).

2. To denote an estimator, e.g., mu^^=m for the sample mean.

3. As the growth rate of x in hat calculus, e.g., x^^=dlnx=dx/x (Jones 1965, who however used the symbol * instead of a hat).

1 may 2014