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:
“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)
“There are moments of existence when time and space are more profound, and the awareness of existence is immensely heightened.”
—Charles Baudelaire (1821–1867)
“The modernness of all good books seems to give men an existence as wide as man.”
—Ralph Waldo Emerson (1803–1882)