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)
“Things perceived by the senses are immediately perceived by the senses; and things immediately perceived by the senses are ideas; and ideas cannot exist without the mind, their existence therefore consists in being perceived; when therefore they are actually perceived, there can be no doubt of their existence.”
—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)