Finding the Minimum Non-Zero Element of a Set

[azal]

Hi there,

As part of my paper I need to define the minimum non-zero element of some set.
In particular I have,
<br /> \begin{equation}<br /> \zeta(j):= \displaystyle \min_{\substack{ k\in1..\kappa\\<br /> t\in 1..\kappa+1,~i \in \mathcal I^{t,j},\\<br /> b_i^{t,j} \mod \theta_k \neq 0}} b_i^{t,j} \mod \theta_k.<br /> \end{equation}<br />
But this is not very nice.
Is there maybe a nicer and more concise way to do this?

 

[conquest]

you don't absolutely have to put everything in the 'minimum of' sign you could just state

ζ(j):=min b^{t,j}_{i} modθ_{k}

where k\in{1,...,κ}, t\in{1,...,κ+1},
i\inI^{t,j} and b^{t,j}_{i} modθ_{k}\neq0.

 

[azal]

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