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I am working on a paper and quoted the following result from these lecture notes.

This theorem

Where can I find a reference to this result either in a book or a paper, that I can cite?

(I looked on the course website but to no avail...:0)

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  • $\begingroup$ What does $N$ stand for? What does $M$ stand for? $\endgroup$ Commented Jul 21, 2022 at 3:14
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    $\begingroup$ @GerryMyerson N and M are the $\epsilon$-covering and $\epsilon$-packing number of the set $\Theta$ with respect to a fixed norm $\|\cdot\|$ on $\mathbb{R}^d$. $\endgroup$
    – ABIM
    Commented Jul 24, 2022 at 16:29

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Inequalities (a) and (b) are more commonly used, which can be found in Lemma 5.7, Wainwright (2019), "High-dimensional statistics: A non-asymptotic viewpoint".

For Inequality (c), I haven't seen it in any books or papers.

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