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)
“Much poetry seems to be aware of its situation in time and of its relation to the metronome, the clock, and the calendar. ... The season or month is there to be felt; the day is there to be seized. Poems beginning “When” are much more numerous than those beginning “Where” of “If.” As the meter is running, the recurrent message tapped out by the passing of measured time is mortality.”
—William Harmon (b. 1938)
“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)