Chinese Remainder Theorem - Existence

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:

    Every moment of one’s existence one is growing into more or retreating into less. One is always living a little more or dying a little bit.
    Norman Mailer (b. 1923)

    We are compelled by the theory of God’s already achieved perfection to make Him a devil as well as a god, because of the existence of evil. The god of love, if omnipotent and omniscient, must be the god of cancer and epilepsy as well.... Whoever admits that anything living is evil must either believe that God is malignantly capable of creating evil, or else believe that God has made many mistakes in His attempts to make a perfect being.
    George Bernard Shaw (1856–1950)

    An “unemployed” existence is a worse negation of life than death itself.
    José Ortega Y Gasset (1883–1955)