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:
“If the heart beguiles itself in its choice [of a wife], and imagination will give excellencies which are not the portion of flesh and blood:Mwhen the dream is over, and we awake in the morning, it matters little whether ‘tis Rachael or Leah,—be the object what it will, as it must be on the earthly side ... of perfection,—it will fall short of the work of fancy, whose existence is in the clouds.”
—Laurence Sterne (1713–1768)
“Beside all the small reasons we assign, there is a great reason for the existence of every extant fact; a reason which lies grand and immovable, often unsuspected behind it in silence.”
—Ralph Waldo Emerson (1803–1882)
“The hour when you say, “What does my happiness matter? It is poverty and filth, and a wretched complacency. Yet my happiness should justify existence itself!””
—Friedrich Nietzsche (1844–1900)