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Jul
7
comment Continuous Sobolev Embedding
@Ian yeah that is what I thought - thanks a bunch, but only on a finite domain?
Jul
7
comment Continuous Sobolev Embedding
I want to know if $W^{k,p}$ goes into $W^{l,q^*}$, what does that say about $W^{k,p}$ goes into $W^{l,q}$ for $1\leq q \leq q^*$ also does this hold for say $L^p$ and $W^m,p$?
Jul
7
comment Continuous Sobolev Embedding
@Ian what if the differentiability order is not 1? (I only need a bounded domain, but what about in general?)
Jul
7
comment Continuous Sobolev Embedding
Can you please elaborate on the relationship to Sobolev embedding theorem and confirm what I said in the comment for the question is correct?
Jul
7
comment Continuous Sobolev Embedding
@Ian woah, let me digest that. Do you mean for a particular $W^{m,p}$, say, for a fixed $n$, smaller than the particular $1\leq q\leq q^*$ the embedding is continuous? (where q^* is given by the Sobolev embedding theorem)
Jul
7
asked Continuous Sobolev Embedding
Jun
26
comment Expectation value of number of drawings of increasing sequences of labelled balls from an urn.
@uomoinverde if you think the reasoning is sound, then I am pretty sure that one can rearrange what I have written into your formula, but you did not want to do it... otherwise it is wrong.
Jun
24
revised Properties Least Mean Fourth Error
added 1 character in body
Jun
22
answered Expectation value of number of drawings of increasing sequences of labelled balls from an urn.
Jun
22
comment Expectation value of number of drawings of increasing sequences of labelled balls from an urn.
Your approach 2 is right, whether it results in an explicit formula, I do not know. why do you think your conjecture is correct?, surely to arrive at that formula, you used some counting argument? also where does the problem come from?
Jun
21
reviewed Looks OK Resolve this system:
Jun
18
comment Computing $\lim \limits_{n\to \infty}Pr(X_n=0)$ for r.v $X_n$ using matrices and Markov Chains.
The matrix limit will tend to a limiting matrix $\Pi$ such that each row of $\Pi$ is just $\pi$... and oh the limit is independent of where you start...
Jun
18
comment Computing $\lim \limits_{n\to \infty}Pr(X_n=0)$ for r.v $X_n$ using matrices and Markov Chains.
@Meitar that is certainly easier than calculating matrix exponentials... Note that $\pi^T$ is just the eigenvector of $P^T$ with eigenvalue 1 and the entries adds up to one. Perron-Frobenius theorem says the dimension of the eigenspace is 1, so there will only be a unqiue one.
Jun
18
answered Computing $\lim \limits_{n\to \infty}Pr(X_n=0)$ for r.v $X_n$ using matrices and Markov Chains.
Jun
11
accepted Can a monotone decreasing function intersect $y=-x$ on a set of more than measure $0$?
Jun
10
reviewed Looks OK Is this a sufficient condition for differentiability
Jun
10
reviewed Approve Are there infinitely many non equivalent metric spaces on certain sets (?)
Jun
10
reviewed No Action Needed Find mathmatical notation for a relation
Jun
10
reviewed Approve What breaks the Turing Completeness of simply typed lambda calculus?
Jun
9
comment Can a monotone decreasing function intersect $y=-x$ on a set of more than measure $0$?
Ah, i see, i did not know what one of those was. Thanks again