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:
“Unaware of the absurdity of it, we introduce our own petty household rules into the economy of the universe for which the life of generations, peoples, of entire planets, has no importance in relation to the general development.”
—Alexander Herzen (1812–1870)
“Parents ought, through their own behavior and the values by which they live, to provide direction for their children. But they need to rid themselves of the idea that there are surefire methods which, when well applied, will produce certain predictable results. Whatever we do with and for our children ought to flow from our understanding of and our feelings for the particular situation and the relation we wish to exist between us and our child.”
—Bruno Bettelheim (20th century)
“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)