[Math] What are the conventions regarding notation for variables denoting vectors

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Should a variable denoting a vector always be in upright font, even when it is a Greek letter?

When denoting vector variables, I have noticed that it is common to use a bold, non-italic, lowercase character, such as a, b, etc. I use latex for the few equations I write and I have noticed that it is quite cumbersome to create non-italicized lowercase Greek letters. This makes me wonder if Greek letter variables always should be italicized and it would be wrong to force an upright Greek letter for a vector variable.

What is the preferred way of typesetting a vector variable when it is represented by a Greek character? Should it be in italics and bold, or upright and bold?


Update

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Examples, from left to right: upright, bold+upright, italic, italic+bold. The upright letters are using a slightly different font in this example.

Best Answer

As you have noted, forcing Greek letters to be "non-italicized" is not very standard (if you want to use it anyway, see Bernard's comment below).

I'd do one of three things:

  1. Bold: $\pmb{\beta}$
  2. Overlined: $\overline{\beta}$
  3. With an arrow: $\vec{\beta}$

To me, the bold option (no. 1) reminds me more of matrix notation, so I'd personally use either 2. or 3.