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I have this formula:

$\Delta a_{ki} \propto v_k (v_i - \langle v_i \rangle_{recon})$

First, what does $\propto$ mean and second, what is the difference between $v_i$ and $\langle v_i \rangle$?

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    $\begingroup$ $\propto$ means "proportional to" here: You found out the markup for that, which is a strong clue: see also en.wikipedia.org/wiki/Mathematical_symbols. Angle brackets can indicate means; that's dubious here. In any case, giving a source for your quotation never hurts and is often useful. $\endgroup$
    – Nick Cox
    Commented Dec 8, 2013 at 15:18
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    $\begingroup$ I removed the "matrix" tag and added "notation". I don't see a matrix flavour to either question. $\endgroup$
    – Nick Cox
    Commented Dec 8, 2013 at 15:20
  • $\begingroup$ Notation tends to inherit from mathematics, but different application areas tend to use notation in somewhat different ways. There are a number of things the angle brackets might mean (or it might mean something I'm not even aware of). $\endgroup$
    – Glen_b
    Commented Dec 8, 2013 at 15:24
  • $\begingroup$ The angle brackets usually denote an expectation. $\endgroup$
    – whuber
    Commented Dec 9, 2013 at 1:31

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