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 it is only as an aesthetic phenomenon that existence and the world are eternally justified.”
—Friedrich Nietzsche (1844–1900)
“I came here for one thing only, to try to help national Ireland—and if there is no such thing in existence then the sooner I pay for my illusions the better.”
—Roger Casement (1864–1916)
“The star is the ultimate American verification of Jean Jacques Rousseau’s Emile. His mere existence proves the perfectability of any man or woman. Oh wonderful pliability of human nature, in a society where anyone can become a celebrity! And where any celebrity ... may become a star!”
—Daniel J. Boorstin (b. 1914)