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What does the symbol ‘!’ signify? Is it $ \text{argmin} $? For example, $ \| A x - y \| = \min! $.

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  • $\begingroup$ regarding tikhonov regularization: ||Ax-y||^2+h^2||x||^2=min! $\endgroup$
    – natali
    Commented Sep 30, 2014 at 0:21
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    $\begingroup$ This question would be more readable if there were a reference to a place where the notation is used. $\endgroup$
    – S. Carnahan
    Commented Sep 30, 2014 at 0:50

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Yes, it is an alternative notation for argmin. Related discussion here.

It seems similar to the notation $\exists ! X $ for there is exactly one $ X $, since both notations refer to a selection of an element of a set.

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  • $\begingroup$ thank you!! seems the notation has german roots? I had never seen it before $\endgroup$
    – natali
    Commented Sep 30, 2014 at 0:34

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