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:
“All that makes existence valuable to any one depends on the enforcement of restraints upon the actions of other people.”
—John Stuart Mill (1806–1873)
“Every moment of one’s existence one is growing into more or retreating into less. One is always living a little more or dying a little bit.”
—Norman Mailer (b. 1923)
“Man’s characteristic privilege is that the bond he accepts is not physical but moral; that is, social. He is governed not by a material environment brutally imposed on him, but by a conscience superior to his own, the superiority of which he feels. Because the greater, better part of his existence transcends the body, he escapes the body’s yoke, but is subject to that of society.”
—Emile Durkheim (1858–1917)