Hello. Say that I want to express a set consisting of the values of a continuous function, G(x), over a range of integers. Is this a valid/acceptable format?(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \mathbf{G} = \{G(x) : \forall (x \in \mathbb{Z})(x \in [-range, range])\} [/tex]

or say that I want to express the vector formed by averaging m other vectors, all with n dimensions(indices). Would this express the operation correctly?

[tex]

\mathbf{\bar{S}} = \left\{ \dfrac1m \sum\limits_{i=1}^m \mathbf{S_i}_j : \forall \left(j \in \mathbb{Z}\right)\left(j \in [1,n]\right) \right\}

[/tex]

Thanks for any help!

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# Help with Set-Builder notation

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