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:
“This perceiving, active being is what I call mind, spirit, soul, or myself. By which words I do not denote any one of my ideas, but a thing entirely distinct from them, wherein they exist, or, which is the same thing, whereby they are perceived; for the existence of an idea consists in being perceived.”
—George Berkeley (1685–1753)
“Sometimes I think that the biggest difference between men and women is that more men need to seek out some terrible lurking thing in existence and hurl themselves upon it.... Women know where it lives but they can let it alone.”
—Russell Hoban (b. 1925)
“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)