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Jul
9
comment Find a countable family of closed intervals contained in $[0,1]$ such that the union covers $[0,1]$ but there is no finite subcover.
Use your above "trick" but instead of converging on zero, converge on 1/2. Then you don't have to worry about the particular definition of interval.
Jul
9
revised Ruffini's Rule with parametric binomial
Added link to Ruffini's rule
Jul
9
suggested approved edit on Ruffini's Rule with parametric binomial
Jul
8
comment Is there a obvious pattern between a Catalan number and another?
A simple google search returns many. What have you tried?
Jun
30
answered Is optimal bound for Alcuin's triangular city problem known?
May
27
awarded  Informed
Feb
18
answered approximating with a class of indicator functions: any theorems?
Feb
17
revised approximating with a class of indicator functions: any theorems?
Clarified the example.
Feb
17
comment approximating with a class of indicator functions: any theorems?
If by "nicely behaving" you mean, "functions that are continuous" then L2 and uniform convergence is equivalent on compact domains. I do not know however if the sets you specified above could be used to approximate any continuous function on a compact domain in R^n.
Feb
17
suggested approved edit on approximating with a class of indicator functions: any theorems?
Feb
17
comment approximating with a class of indicator functions: any theorems?
You added "nicely behaving" after I posted my comment. My training (long ago) was in real analysis and measure theory, in that field, you use finite sums of indicator functions to prove everything. Restricting yourself to nicely behaving means that yes, there are lots of possibilities, but your question is too open ended for me to help you. Providing more of your context will help you get better answers.
Feb
17
comment approximating with a class of indicator functions: any theorems?
Uniform convergence of linear combinations of indicator functions do not converge to anything interesting. If your metric of interest was $L^p$ then we could start to have a lot of conversations.
Feb
1
awarded  Yearling
Jan
7
comment Is this sequence monotone or not?
a_1 is not defined.
Dec
8
awarded  Caucus
Oct
23
revised Prove whether a particular function is concave
Rewrite, based upon OP's mods to the question.
Oct
23
answered Prove whether a particular function is concave
Oct
23
suggested rejected edit on Prove whether a particular function is concave
Oct
22
comment Prove whether a particular function is concave
since y1 is constant as a function of w, your first integral is constant, and irrelevant. Your characterization of f_k doesn't make sense to me, F_k cannot be a function of x. What have you tried?
Oct
21
comment Probability problem with cards
Can you solve the simpler problem, "What is the probability that the person to your left has no clubs?"