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:
“This seems to be advanced as the surest basis for our belief in the existence of gods, that there is no race so uncivilized, no one in the world so barbarous that his mind has no inkling of a belief in gods.”
—Marcus Tullius Cicero (106–43 B.C.)
“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)
“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)