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:
“Beside all the small reasons we assign, there is a great reason for the existence of every extant fact; a reason which lies grand and immovable, often unsuspected behind it in silence.”
—Ralph Waldo Emerson (1803–1882)
“For it is only as an aesthetic phenomenon that existence and the world are eternally justified.”
—Friedrich Nietzsche (1844–1900)
“Analysis brings no curative powers in its train; it merely makes us conscious of the existence of an evil, which, oddly enough, is consciousness.”
—Henry Miller (1891–1980)