In mathematics, a covering system (also called a complete residue system) is a collection
of finitely many residue classes whose union covers all the integers.
|
For any arbitrarily large natural number N does there exist an incongruent covering system the minimum of whose moduli is at least N? |
Read more about Covering System: Examples and Definitions, Mirsky–Newman Theorem, Primefree Sequences, Some Unsolved Problems
Famous quotes containing the words covering and/or system:
“We have good reason to believe that memories of early childhood do not persist in consciousness because of the absence or fragmentary character of language covering this period. Words serve as fixatives for mental images. . . . Even at the end of the second year of life when word tags exist for a number of objects in the child’s life, these words are discrete and do not yet bind together the parts of an experience or organize them in a way that can produce a coherent memory.”
—Selma H. Fraiberg (20th century)
“To care for the quarrels of the past, to identify oneself passionately with a cause that became, politically speaking, a losing cause with the birth of the modern world, is to experience a kind of straining against reality, a rebellious nonconformity that, again, is rare in America, where children are instructed in the virtues of the system they live under, as though history had achieved a happy ending in American civics.”
—Mary McCarthy (1912–1989)