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:
“Given the existence ... of a personal God ... who ... loves us dearly ... it is established beyond all doubt ... that man ... wastes and pines ... for reasons unknown.”
—Samuel Beckett (1906–1989)
“Reasoning from the common course of nature, and without supposing any new interposition of the Supreme Cause, which ought always to be excluded from philosophy; what is incorruptible must also be ingenerable. The soul, therefore, if immortal, existed before our birth: And if the former existence noways concerned us, neither will the latter.”
—David Hume (1711–1776)
“There are moments of existence when time and space are more profound, and the awareness of existence is immensely heightened.”
—Charles Baudelaire (1821–1867)