Existence
Existence can be seen by an explicit construction of . We will use the notation to denote the multiplicative inverse of, it is defined exactly when and are coprime; the following construction explains why the coprimality condition is needed.
Read more about this topic: Chinese Remainder Theorem
Famous quotes containing the word existence:
“I am afraid that old women are more skeptical in their most secret heart of hearts than any man: they believe in the superficiality of existence as in its essence, and all virtue and profundity is to them merely a veil over this “truth,” a most welcome veil over a pudendum—and so a matter of decency and modesty, and nothing else.”
—Friedrich Nietzsche (1844–1900)
“It is because everything is relative
That we shall never see in that sphere of pure wisdom and
Entertainment much more than groping shadows of an incomplete
Former existence so close it burns like the mouth that
Closes down over all your effort like the moment
Of death”
—John Ashbery (b. 1927)
“The duty of the State toward the citizen is the duty of the servant to its master.... One of the duties of the State is that of caring for those of its citizens who find themselves the victims of such adverse circumstances as makes them unable to obtain even the necessities for mere existence without the aid of others.... To these unfortunate citizens aid must be extended by government—not as a matter of charity but as a matter of social duty.”
—Franklin D. Roosevelt (1882–1945)