Schwartz Set Comparison
The Schwartz set is closely related to and is always a subset of the Smith set. The Smith set is larger if and only if a candidate in the Schwartz set has a pair-wise tie with a candidate that is not in the Schwartz set.
The Smith set can be constructed from the Schwartz set by repeatedly adding two types of candidates until no more such candidates exist outside the set:
- candidates that have pair-wise ties with candidates in the set,
- candidates that beat a candidate in the set.
Note that candidates of the second type can only exist after candidates of the first type have been added.
Read more about this topic: Smith Set
Famous quotes containing the words set and/or comparison:
“With all her masculine vigour and glory, Greece fell, gradually atrophied, because one half of her had been, of set purpose, intellectually and politically paralyzed.”
—Tennessee Claflin (18461923)
“But the best read naturalist who lends an entire and devout attention to truth, will see that there remains much to learn of his relation to the world, and that it is not to be learned by any addition or subtraction or other comparison of known quantities, but is arrived at by untaught sallies of the spirit, by a continual self-recovery, and by entire humility.”
—Ralph Waldo Emerson (18031882)