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.)
“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)
“There are in our existence spots of time,”
—William Wordsworth (1770–1850)