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 existence of good bad literature—the fact that one can be amused or excited or even moved by a book that one’s intellect simply refuses to take seriously—is a reminder that art is not the same thing as cerebration.”
—George Orwell (1903–1950)
“I am afraid that old women are more skeptical in their most secret heart of hearts than any man: they believe in the superficiality of existence as in its essence, and all virtue and profundity is to them merely a veil over this “truth,” a most welcome veil over a pudendum—and so a matter of decency and modesty, and nothing else.”
—Friedrich Nietzsche (1844–1900)
“There surely is a being who presides over the universe; and who, with infinite wisdom and power, has reduced the jarring elements into just order and proportion. Let speculative reasoners dispute, how far this beneficent being extends his care, and whether he prolongs our existence beyond the grave, in order to bestow on virtue its just reward, and render it fully triumphant.”
—David Hume (1711–1776)