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:
“No cause is left but the most ancient of all, the one, in fact, that from the beginning of our history has determined the very existence of politics, the cause of freedom versus tyranny.”
—Hannah Arendt (1906–1975)
“Some say existence like a Pirouot
And Pirouette, forever in one place,
Stands still and dances, but it runs away;
It seriously, sadly, runs away
To fill the abyss’s void with emptiness.”
—Robert Frost (1874–1963)
“The longer we live the more we must endure the elementary existence of men and women; and every brave heart must treat society as a child, and never allow it to dictate.”
—Ralph Waldo Emerson (1803–1882)