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)
“‘Tis going, I own, like the Knight of the Woeful Countenance, in quest of melancholy adventures—but I know not how it is, but I am never so perfectly conscious of the existence of a soul within me, as when I am entangled in them.”
—Laurence Sterne (1713–1768)
“There are moments of existence when time and space are more profound, and the awareness of existence is immensely heightened.”
—Charles Baudelaire (1821–1867)