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:
“In a sense the world dies every time a writer dies, because, if he is any good, he has been a wet nurse to humanity during his entire existence and has held earth close around him, like the little obstetrical toad that goes about with a cluster of eggs attached to his legs.”
—E.B. (Elwyn Brooks)
“For believe me!—the secret to harvesting the greatest abundance and the greatest enjoyment from existence is this—living dangerously! Build your cities on the slopes of Vesuvius! Send your ships into uncharted seas! Live at war with your peers and yourselves! Be robbers and conquerors, so long as you cannot be rulers and possessors, you knowing ones! The time will soon be past when you could be content to live hidden in the forests like timid deer.”
—Friedrich Nietzsche (1844–1900)
“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)