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with their graphs, which is a certain set of ordered pairs. Indeed, many authors use graphs as the definition of a function. Using this definition of "function", the above function can be defined as:

:

Tuples as nested ordered pairs

Another way of modeling tuples in set theory is as nested ordered pairs. This approach assumes that the notion of ordered pair has already been defined.
# The 0-tuple (i.e. the empty tuple) is represented

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