I have variables that are indexed by $x$ and $y$: $V_{xy}$. What is the best notation for "all $V_{x1}$ variables, for $x=1,\dots,X$"?
I'd like to write something like "I set all variables $\{V_{x1}, x=1,\dots,X\}$ to zero."
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Set the variables $V_{11}, V_{21}, \ldots, V_{X1}$ equal to zero. |
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Morse-Kelley class theory would allow such a class: $\{z:\exists(x,y)(z=V_{xy};x\in\{1,\ldots,X\};y=1)\}$; in Zermelo-Fraenkel set theory you should also specify from which set $Z$ you choose $z$: this of course depends on what you mean by $V_{xy}$. |
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