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What's the definition of "rate of uniform convergence"?

I'm reading "Understanding Machine Learning: From theory to algorithms". You can click the hyperlink to download the book.

I came across this phrase in the preface of Chapter 26: Rademacher Complexities, Page 375. I have looked up a lot of materials, but I didn't get the definition of "rate of uniform convergence". Hope you can help me!

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  • $\begingroup$ In what context did you see this phrase? $\endgroup$ Oct 27 '19 at 15:05
  • $\begingroup$ @kimchilover I have added the context to the question. $\endgroup$
    – Ben
    Oct 28 '19 at 0:53

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