# Is $\{x_{zt}\}_{Z\times~ T}$ a good notation for specifying the indexed family of entities $x_{zt}$ with $z\in Z,\, t\in T$?

I have a model with lots of variables indexed over a few sets.

After having introduced the model, i.e. having already said that $x_{zt}$ has indexes $z\in Z$ and $t\in T$, instead of writing

"we consider the variables $x_{zt}$..."

or

" we consider the variables $x_{zt}$, with $z\in Z,\\, t\in T$"

I tend to use

" we consider the variables $\{x_{zt}\}_{Z\times T}$"

I know the indexes are usually repeated in the subscript, e.g. it should be $\{x_{zt}\}_{(z,t)\in Z\times T}$, but I saw this done only when there was a single index; furthermore it would take longer to write and would be hard to read.

I think the notation I'm using is a good compromise, would you agree?

TIA

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I disagree, but only under the assumption that you don't plan to allocate a place where you define your new notation unambiguously. –  S. Carnahan Mar 28 '12 at 13:54
then which one would you use? –  user16348 Mar 28 '12 at 16:41