Relation To Binomial Theorem
The power set is closely related to the binomial theorem. The number of sets with elements in the power set of a set with elements will be a combination also called a binomial coefficient.
For example the power set of a set with three elements, has:
- set with 0 elements
- sets with 1 element
- sets with 2 elements
- set with 3 elements.
Read more about this topic: Power Set
Famous quotes containing the words relation to, relation and/or theorem:
“The foregoing generations beheld God and nature face to face; we, through their eyes. Why should not we also enjoy an original relation to the universe? Why should not we have a poetry and philosophy of insight and not of tradition, and a religion by revelation to us, and not the history of theirs?”
—Ralph Waldo Emerson (18031882)
“Skepticism is unbelief in cause and effect. A man does not see, that, as he eats, so he thinks: as he deals, so he is, and so he appears; he does not see that his son is the son of his thoughts and of his actions; that fortunes are not exceptions but fruits; that relation and connection are not somewhere and sometimes, but everywhere and always; no miscellany, no exemption, no anomaly,but method, and an even web; and what comes out, that was put in.”
—Ralph Waldo Emerson (18031882)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (19131960)