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:
“The Frenchman Jean-Paul ... Sartre I remember now was his last name had a dialectical mind good as a machine for cybernetics, immense in its way, he could peel a nuance like an onion, but he had no sense of evil, the anguish of God, and the possible existence of Satan.”
—Norman Mailer (b. 1923)
“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)
“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)