Recent content by azal

So in your example I want the operator to produce: \{1,2,3,4,5\} \setminus \{1,3,4,6\} = \{2,5\}.

So, assume the operator f takes a sequence, and returns its elements as a set (without repetitions). For example if \mathbf{a} = (1,1,2,1,3,2) then f(\mathbf{a}) = \{1,2,3\} . Now suppose we have a pair of sequences \mathbf {a} = (a_1,a_2,\cdots,a_n) and \mathbf {b} =...

Hi All, So here's my question: Suppose we have two sets A and B, then A \setminus B denotes their set-difference. Does there exist an equivalent operator for the case where A and B are not sets, but sequences? Otherwise, is there an operator to convert a sequence into a set...

oh that's a good idea ... haha, don't know why i didn't think of that!

Hi there, As part of my paper I need to define the minimum non-zero element of some set. In particular I have, \begin{equation} \zeta(j):= \displaystyle \min_{\substack{ k\in1..\kappa\\ t\in 1..\kappa+1,~i \in \mathcal I^{t,j},\\ b_i^{t,j} \mod \theta_k \neq 0}} b_i^{t,j} \mod...

Thanks.

Hi Sammy, Thanks for your response. This is not an \epsilon,\delta (limit) proof, although my notation may suggest it is. I guess I'll have to change the conditions then. Thanks again, - Azal.

As part of my problem I need the following condition to hold: \frac{2^{n(H+\epsilon)}}{\epsilon}:=\delta^{-\theta} for some \epsilon, \delta and \theta all in (0,1). Now, I would like to rearrange the equation (solve for \epsilon[itex/] in terms of the rest of the parameters) so as to have the...