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11h
comment Entropy of sum of uniform random variables on a simplex
You have already asked the same question some months ago math.stackexchange.com/questions/1428142/…
11h
comment A sequence of continuous functions which is pointwise convergent to zero and not uniformly convergent on any interval.
The remark you quote looks interesting, but I don't see how that could work. If we add the "spikes" , then the sum diverges.
11h
comment A sequence of continuous functions which is pointwise convergent to zero and not uniformly convergent on any interval.
The point of the OP is to find a function that converges pointwise on all reals, and doesn't converge uniformly on any interval (not just on some interval)
1d
comment Conditional entropy and independent conditioning variables
As I tried to explain, in your case $H(X|Y=y,Z=z)$ are the same but $H(X|Y,Z)$ are not.
2d
answered Conditional entropy and independent conditioning variables
2d
revised Non-zero Conditional Differential Entropy between a random variable and a function of it
deleted 118 characters in body
2d
comment Conditional entropy and independent conditioning variables
The first paragraph looks contradictory. What does $(Y,Z) \sim (Y',Z')$ mean? Perhaps you mean that the marginals are equal? Then you should write $Y\sim Y'$ and $Z \sim Z'$
Feb
8
answered r distinct balls in N boxes
Feb
8
revised r distinct balls in N boxes
added 26 characters in body
Feb
8
comment Number of ways to partition $40$ balls with $4$ colors into $4$ baskets
For the record: I implemented the generation in Java (ugly), and the values (up to $N=10$ at least) coincide.
Feb
6
comment Mutual information $I((X,Y,Z);A)$ larger for small pairwise mutual informations $I(X;Y), I(X;Z), I(Y;Z)$?
You seem to assume that $I(X;Y)=1$ is a maximum. Why? Are you assuming binary (Bernoulli) variables?
Feb
6
revised Find the maximum number of people who participated in exactly three games?
added 100 characters in body
Feb
6
answered Find the maximum number of people who participated in exactly three games?
Feb
6
comment Find the maximum number of people who participated in exactly three games?
Further, why is letter $b$ used (in the diagram and the equations) for two different things? Some typo?
Feb
6
comment Find the maximum number of people who participated in exactly three games?
I think the condition "at least one person participated in two games" translates to at least one of $a,b,c$ being greater than zero, not all.
Feb
4
revised Combinatorial argument for $\sum\limits_{k=i}^{n}\binom{n}{k}\binom{k}{i} = \binom{n}{i}2^{n-i}$
questions was only in title
Feb
4
comment how to mathematically represent a matrix of vectors?
You can perfectly define a "3D" matrix. Math software as Matlab let's you do this. stackoverflow.com/questions/2794191/create-a-3d-matrix Of course, what it's not trivial is how to define some math operations (n particular, multiplication) on such matrices. But you have not given us enough context.
Feb
3
comment Marginalising out $B$ in $P(A \mid B,C)$
The last factor should be $P(B|C)$
Feb
3
revised Marginalising out $B$ in $P(A \mid B,C)$
added 1 character in body
Feb
3
answered Marginalising out $B$ in $P(A \mid B,C)$