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## Homework Statement

One way of modeling tuples in set theory is through nested ordered pairs. A notation I'm not familiar with (I'm assuming it means that the following elements are nested into the last one) is used. (a

_{1}, a

_{2}, a

_{2},... a

_{n}) = (a

_{1}(a

_{2}, a

_{3},..., a

_{n})). I have never seen the second "(" in the latter part of the equation. My question is what is a nested ordered pair? What are its properties? How can the second element in the latter part of the equation, have lots of elements; while, the whole thing still be an ordered pair? Nested generally means something in something, and an ordered pair is a couple or two tuple, but I can't seem to put the two together.

## Homework Equations

None that I know of

## The Attempt at a Solution

I've spent about 30 minutes searching and I still can't find a definition.[/B]