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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.


Dec
20
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)
Dec
20
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?
Dec
20
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?
Dec
20
comment How can we write this in math?
What do you mean by "same"?
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
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
5
comment Application of Jensen's inequality
Thanks. How do you prove my second inequality? @Timbuc?
Dec
5
comment Condition on $f$ for $f(x+y) \leq f(x) + f(y)$?
That's right. I am looking for some inequalities that say some functions are subaddtive or superadditive.
Dec
5
comment Application of Jensen's inequality
@DanielFischer: That's right. The measure should be a probability measure.
Dec
5
comment Application of Jensen's inequality
So are the two inequalities in my question not because of Jensen's ineq? Are they correct then?
Dec
5
comment Application of Jensen's inequality
convex as in Jensen's inequality en.wikipedia.org/wiki/Jensen%27s_inequality#Statements
Dec
1
comment Relative complement and subtraction.
What is $e_v$?.
Dec
1
comment Relative complement and subtraction.
Thanks.How similar is orthogonal complement $W_2^\perp$ to the complement $B^c$? Therefore how similar is the relative complement to the set difference?
Nov
24
comment If $T(v)=0$ for all $v \in V$, then $T=0$.
@MichaelJoyce: Yes. it is because R^n is also a vector space.
Nov
24
comment If $T(v)=0$ for all $v \in V$, then $T=0$.
right... @GitGud
Nov
24
comment If $T(v)=0$ for all $v \in V$, then $T=0$.
Edited. Thanks.