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:
“The star is the ultimate American verification of Jean Jacques Rousseaus 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)
“The longer we live the more we must endure the elementary existence of men and women; and every brave heart must treat society as a child, and never allow it to dictate.”
—Ralph Waldo Emerson (18031882)
“The hour when you say, What does my happiness matter? It is poverty and filth, and a wretched complacency. Yet my happiness should justify existence itself!”
—Friedrich Nietzsche (18441900)