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:
“And from a cliff top is proclaimed
The gathering of the souls for birth,
The trial by existence named,
The obscuration upon earth.”
—Robert Frost (1874–1963)
“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)
“During a walk or in a book or in the middle of an embrace, suddenly I awake to a stark amazement at everything. The bare fact of existence paralyzes me... To be alive is so incredible that all I can do is to lie still and merely breathe—like an infant on its back in a cot. It is impossible to be interested in anything in particular while overhead the sun shines or underneath my feet grows a single blade of grass.”
—W.N.P. Barbellion (1889–1919)