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- W1979676570 abstract "Introduction. Let mi > 1, (i = 1, 2, * , s), be integers relatively prime in pairs and denotem = m1M2 m. *Ms . If xi,O < xi < mi, (i = 1, 2, * , s) are integers, the ordered set (x1 , x2 , x8) is called a modular number, with respect to the moduli mi (i = 1, 2, . , s) and it denotes a unique residue class mod m. Modular arithmetic has been developed [1], [2], [5], and its use in computers has been suggested [1], [5]. It has also been applied in the solution of various problems [2], [6]. A central question is to determine the least nonnegative residue mod m of a given residue class (xl , x2, * *, x8). Denote it by n. In order to work entirely in the given modular system it was suggested [1], [3], [7] and [8] to obtain n in its mixed radix representatioin with respect precisely to the radices mi (i = 1, 2, , s), thus in the form" @default.
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- W1979676570 date "1967-05-01" @default.
- W1979676570 modified "2023-09-25" @default.
- W1979676570 title "Conversion of modular numbers to their mixed radix representation by a matrix formula" @default.
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- W1979676570 doi "https://doi.org/10.1090/s0025-5718-1967-0224252-5" @default.
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