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Just a layman and slow learner. Thank you for your enlightenment and patience, and for giving me the best memory in my life.


2d
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)
2d
revised How can we write this in math?
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2d
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?
2d
revised How can we write this in math?
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2d
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?
2d
comment How can we write this in math?
What do you mean by "same"?
2d
asked How can we write this in math?
Dec
19
revised Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets?
edited tags
Dec
19
comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets?
@GEdgar: I updated my post with my specific question.
Dec
19
comment Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets?
@AlexanderShamov: I updated my post with my specific question.
Dec
19
revised Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets?
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Dec
18
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?
Dec
18
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?
Dec
18
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?
Dec
18
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?
Dec
18
asked Approximate the unit ball in an infinite-dimensional Hilbert space, by compact sets?
Dec
16
awarded  Nice Question
Dec
15
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? $
Dec
15
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? $
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Dec
15
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? $