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.)
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The gathering of the souls for birth,
The trial by existence named,
The obscuration upon earth.”
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“We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.”
—Blaise Pascal (1623–1662)