Results 251 to 260 of about 2,320 (298)
Some of the next articles are maybe not open access.
Optimal estimates of common remainder for the robust Chinese Remainder Theorem
Communications in Nonlinear Science and Numerical Simulation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoping Li, Xiao-Li Ding
exaly +2 more sources
A Generalized Chinese Remainder Theorem for Two Integers
IEEE Signal Processing Letters, 2014A generalized Chinese remainder theorem (CRT) for the determination of two integers is studied in this letter, where the correspondence between the remainders and the two integers in each residue set is not known. A better range than the existing known ones of two integers that can be uniquely determined from their residue sets is first obtained. Then,
Li Xiao, Xiang-Gen Xia
exaly +2 more sources
, 2011 V diplomskem delu je predstavljen kitajski izrek o ostankihnajprej v teoriji števil in nato v splošnih kolobarjih. Na začetku je na kratko predstavljena zgodovina kitajskega izreka o ostankih.
Plavčak, Nataša
openaire +3 more sources
Compatible functions and the Chinese Remainder Theorem
Algebra Universalis, 1994Let \(A= (A,F)\) be an algebra and \(K\) be a sublattice of subsets of \(A\times A\). The paper contains generalizations of concepts, known for congruences, like the Compatible Majority Function Property (CM), Chinese Remainder Condition (CRC) and Compatible Function Extension Property (CFE) for functions compatible with \(K\). The authors study mutual
Fried, E., Pixley, A.
openaire +2 more sources
1996
Introduction and philosophy Chinese remainder algorithm in modular computations in algorithmics in bridging computations in coding theory in cryptography tutorial in information theory tutorial in algebra list of mathematical symbols.
C Ding, D Pei, A Salomaa
openaire +1 more source
Introduction and philosophy Chinese remainder algorithm in modular computations in algorithmics in bridging computations in coding theory in cryptography tutorial in information theory tutorial in algebra list of mathematical symbols.
C Ding, D Pei, A Salomaa
openaire +1 more source
Robustness in Chinese Remainder Theorem for Multiple Numbers and Remainder Coding
IEEE Transactions on Signal Processing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hanshen Xiao +3 more
openaire +1 more source
Generalization of the Chinese remainder theorem
Vestnik St. Petersburg University: Mathematics, 2007Let \(B\) denote an \(m \times (m+1)\) \textit{basis} matrix with integer entries, and let \(r\) denote a column vector with \(m\) integer components. This paper presents sufficient conditions for vector solutions \(x\) with integer components of the linear system \(Bx = r\) in the cases that \(B\) is \textit{marginal} as well as \textit{saturated.} In
Davydova, I. M., Fedoseeva, E. Ya.
openaire +1 more source
Sheaf representation and Chinese remainder theorems
Algebra Universalis, 1992\textit{D. M. Clark} and \textit{P. H. Krauss} [``Global subdirect products'', Mem. Am. Math. Soc. 210 (1979; Zbl 0421.08001)] define an algebra to be globally (Boolean) representable by a class of algebras \({\mathcal M}\) if it is isomorphic to the algebra of the global sections of a subdirect sheaf whose index space is compact and \(T_ 0\) and whose
openaire +2 more sources
Historical development of the Chinese remainder theorem
Archive for History of Exact Sciences, 1988The paper is a survey of the main works on the Chinese Remainder Theorem, which owes its name to the fact that the first general algorithm for solving simultaneous congruences was given by the Chinese mathematician Qin Jiushao in 1247. After stating that the problem is derived from calendrical calculations' needs, the author mentions texts from ...
openaire +1 more source