Tim
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 Dec20 comment How can we write this in math? @mvw: From the statement, I guess $n_\epsilon$ may depend on $y$, and not on $z$. Am I right? (I don't write the statement myself, all I am doing is trying to understand it) Dec20 revised How can we write this in math? added 10 characters in body Dec20 comment How can we write this in math? Thanks. I should add that $f$ is nonnegative. Are the two in my post the same/equivalent? Dec20 revised How can we write this in math? added 6 characters in body Dec20 comment How can we write this in math? @ClementC: what you wrote is in math. I also wonder if the single equation I gave is equivalent to the original statement? Or something similar to the equation? Dec20 comment How can we write this in math? What do you mean by "same"? Dec20 asked How can we write this in math? Dec19 revised Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? edited tags Dec19 comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? @GEdgar: I updated my post with my specific question. Dec19 comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? @AlexanderShamov: I updated my post with my specific question. Dec19 revised Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? added 680 characters in body Dec18 comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? @GEdgar: Thanks. Do you have some link/reference for me to read in detail? Dec18 comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? @user8268:Are there some examples for proving such generalization in your way? Dec18 comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? @GEdgar: Are there some examples for proving such generalization in your way? Dec18 comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? @AlexanderShamov: Are there some examples for proving such generalization in your way? Dec18 asked Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets? Dec16 awarded Nice Question Dec15 accepted If $|f_i(x_1) - f_i(x_2)| \leq a$ for all $f_i$'s, does $| \min_i f_i(x_1) - \min_i f_i(x_2) | \leq a?$ Dec15 revised If $|f_i(x_1) - f_i(x_2)| \leq a$ for all $f_i$'s, does $| \min_i f_i(x_1) - \min_i f_i(x_2) | \leq a?$ deleted 13 characters in body Dec15 asked If $|f_i(x_1) - f_i(x_2)| \leq a$ for all $f_i$'s, does $| \min_i f_i(x_1) - \min_i f_i(x_2) | \leq a?$