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,
[itex]
\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 \theta_k.
\end{equation}
[/itex]
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[itex]^{t,j}_{i}[/itex] modθ[itex]_{k}[/itex]

where k[itex]\in[/itex]{1,...,κ}, t[itex]\in[/itex]{1,...,κ+1},
i[itex]\in[/itex]I[itex]^{t,j}[/itex] and b[itex]^{t,j}_{i}[/itex] modθ[itex]_{k}[/itex][itex]\neq[/itex]0.

 

[azal]

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