Results 91 to 100 of about 2,320 (298)

The Chinese Remainder Theorem

, 2018
The Chinese Remainder Theorem is one of the oldest theorems in mathematics. It states that a system of linear congruences with pairwise relatively prime moduli has a unique solution modulo the product of its pairwise relatively prime moduli. In this talk,
Piazza, Nancirose
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New results on multidimensional Chinese remainder theorem [PDF]

, 1994
The Chinese remainder theorem (CRT) [McClellan and Rader 1979] has been well known for applications in fast DFT computations and computer arithmetic.
Lin, Yuan-Pei, Phoong, See-May, Vaidyanathan, P. P.   +2 more
core  

The Virial Expansion of the Hydrogen Equation of State in Comparison to PIMC Simulations: The Quasiparticle Concept, IPD, and Ionization Degree

Contributions to Plasma Physics, EarlyView.
ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke, Chengliang Lin, W. Ebeling, H. Reinholz   +3 more
wiley   +1 more source

Shock wave propagation characteristics of aluminum‐containing explosive in corrugated steel‐lined tunnel

Deep Underground Science and Engineering, EarlyView.
Aluminum‐enhanced afterburning renders AE explosives more hazardous than conventional ones. Corrugated steel linings reduce far‐field AE blast overpressure by ~50% through wave reflection and dissipation. The developed model accurately predicts peak pressure (<10% error) and arrival time (<3% error), supporting protective design.
Zhen Wang, Jiayu Peng, Hujun Li, Yuguo Ji, Shuobiao Li, Guokai Zhang   +5 more
wiley   +1 more source

An Efficient Parallel Reverse Conversion of Residue Code to Mixed-Radix Representation Based on the Chinese Remainder Theorem. [PDF]

Entropy (Basel), 2022
Selianinau M, Povstenko Y.
europepmc   +1 more source

A Parallel Conversion Algorithm Based upon Aryabhata Remainder Theorem for Residue Number System

, 2009
[[abstract]]To solve the conversion problem in Residue Number System (RNS) with a general moduli set, a common solution is to use Chinese Remainder Theorem (CRT).
Chang, C. C.;Yang, J. H.
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Combined random number generator via the generalized Chinese remainder theorem

, 2002
The combined random number (RN) generator has been considered by many scholars as a good RN generator. One promising type of combined RN generator, recommended by L'Ecuyer (Oper. Res.
Tang, Hui-Chin, Hui-Chin Tang
core   +1 more source

Upper bound limit analysis of coral reef limestone cavern roof stability incorporating a tension‐shear failure mechanism with tensile‐strength cut‐off

Deep Underground Science and Engineering, EarlyView.
For the roof of coral reef limestone caverns, a novel tension‐shear composite failure mechanism was developed. The most critical tensile crack model was identified using a hybrid optimization algorithm, and the stability of the cavern roof was analyzed accordingly.
Dongsheng Xu, Chenxu Li, Chuantan Hou
wiley   +1 more source

Multiparty weighted threshold quantum secret sharing based on the Chinese remainder theorem to share quantum information. [PDF]

Sci Rep, 2021
Chou YH, Zeng GJ, Chen XY, Kuo SY.
europepmc   +1 more source

A multivariable Chinese remainder theorem

, 2005
In this note we show a multivariable version of the Chinese remainder theorem: a system of linear modular equations ai1xi +... + ainxn = bi mod mi, i = 1,..., n has solutions if mi> 1 are pairwise relatively prime and in each row, at least one ...
Oliver Knill
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