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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?"
Sep
30
comment Minimum Degree of a Graph
You have made a mistake in your arithmetic. min(degree of vertices) is always < |V|-1 for any graph. Your bound on min degree is significantly better than that.
Sep
30
comment Minimum Degree of a Graph
Now, you have a way to eliminate |E| from your initial inequality.... does that tell you anything?
Sep
30
comment Minimum Degree of a Graph
Hint: How is |E| related to the degrees of the vertices? Can you come up with a relationship between |E| and min-degree?
Aug
29
answered real valued functions
Aug
22
awarded  Quorum
Aug
22
comment There are finitely many maps on nonnegative integers satisfying $\phi(ab)=\phi(a)+\phi(b)$
The number is infinite if you change the domain to $\mathbb{N}$. Use logs with arbitrary bases.
Aug
6
answered Transforming discrete R.V. to uniform R.V.
Jun
24
awarded  Citizen Patrol
Apr
17
comment Count no. Of ways
You might find reading about the 12 fold way helpful: en.wikipedia.org/wiki/Twelvefold_way
Apr
15
comment Count no. Of ways
Presumably the OP meant boxes that are indistinguishable from one another. Your answer assumes the boxes are distinguishable (i.e. labelled).
Apr
3
comment Does $\sin(\sin(\sin\cdots(\sin1)\cdots) \rightarrow 0 $?
Hint: what solutions are there to the equation x = sin(x)
Feb
24
comment How to solve this recurrence $T(n)=2T(n/2)+n/\log n$
is T evaluated at floor(n/2)? ceiling(n/2)? Or do you assume n is always a power of 2?
Jan
17
comment Ergodic Process: Does it visit all state?
@triomphe Silly example, $X(t) = B(t) + e^{-t}$ where $B(t)$ is a brownian motion, is ergodic, but not stationary.
Jan
17
comment Ergodic Process: Does it visit all state?
There's no relationship between stationary and ergodic. They are different attributes of processes. If a process has both attributes, you can prove a lot of theorems about the process.