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:
“In relation to God, we are like a thief who has burgled the house of a kindly householder and been allowed to keep some of the gold. From the point of view of the lawful owner this gold is a gift; From the point of view of the burglar it is a theft. He must go and give it back. It is the same with our existence. We have stolen a little of God’s being to make it ours. God has made us a gift of it. But we have stolen it. We must return it.”
—Simone Weil (1909–1943)
“Every word was once a poem. Every new relation is a new word.”
—Ralph Waldo Emerson (1803–1882)
“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 (1913–1960)