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Notation

  1. Jan 19, 2012 #1
    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?
     
    Last edited: Jan 19, 2012
  2. jcsd
  3. Jan 19, 2012 #2
    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.
     
  4. Jan 20, 2012 #3
    oh that's a good idea ... haha, don't know why i didn't think of that!
     
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