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:
“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)
“I came here for one thing only, to try to help national Ireland—and if there is no such thing in existence then the sooner I pay for my illusions the better.”
—Roger Casement (1864–1916)
“Just as everybody has the vote including women, I think children should, because as a child is conscious of itself then it has to me an existence and has a stake in what happens.”
—Gertrude Stein (1874–1946)