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:
“We are compelled by the theory of God’s already achieved perfection to make Him a devil as well as a god, because of the existence of evil. The god of love, if omnipotent and omniscient, must be the god of cancer and epilepsy as well.... Whoever admits that anything living is evil must either believe that God is malignantly capable of creating evil, or else believe that God has made many mistakes in His attempts to make a perfect being.”
—George Bernard Shaw (1856–1950)
“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 (1844–1900)
“For it is only as an aesthetic phenomenon that existence and the world are eternally justified.”
—Friedrich Nietzsche (1844–1900)