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 modernness of all good books seems to give men an existence as wide as man.”
—Ralph Waldo Emerson (1803–1882)
“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)
“Realism holds that things known may continue to exist unaltered when they are not known, or that things may pass in and out of the cognitive relation without prejudice to their reality, or that the existence of a thing is not correlated with or dependent upon the fact that anybody experiences it, perceives it, conceives it, or is in any way aware of it.”
—William Pepperell Montague (1842–1910)