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Simulation and Beyond: Computing in the 21st Century     Simulation and Beyond  Computing       font style='font-size:12px;'> 2015/8/25
Computers have a remarkable ability to simulate natural and arti cial phenomena. Industry, science, economic a airs and national security have come to rely upon simulation as an essential technology...
This paper examines algorithms for computing periodic orbits of dynamical systems. Our goal is to explore the limits of accuracy that are attainable for these calculations within the pragmatic conte...
Computing the threshold shift for general channels     Threshold  the probability curve  noise  the binary       font style='font-size:12px;'> 2015/8/21
The ‘threshold’ of a code ensemble can be defined as the noise level at which the block error probability curve crosses 1/2. For ensembles of low-density parity check codes used over the binary erasur...
We describe an interior point algorithm for computing the upper bound for the structured singular value described in the paper by Fan, Tits and Doyle, IEEE Trans AC, Jan. 1991. We demonstrate the perf...
Efficient Use of Cloud Computing in Medical Science     Cloud   Diseases   Treatment   Medical   Information   Internet       font style='font-size:12px;'> 2013/1/30
Technology has grown rapidly with scientific advancement over the world in recent decades. Therefore, there is a need to redesign the medical system to meet their better needs .With the advent of clou...
Item response theory (IRT) is a modern test theory that has been used in various aspects of educational and psychological measurement. The fully Bayesian approach shows promise for estimating IRT mode...
This paper presents a recursive procedure to compute the Moore-Penrose inverse of a matrix A. The method is based on the expression for the Moore-Penrose inverse of rank-one modified matrix. The compu...
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
A new algorithm for computing the multivariate Fa`a di Bruno’s formula is provided.We use a symbolic approach based on the classical umbral calculus that turns the computation of the multivariate Fa`a...
Computing the topological entropy of unimodal maps      Topological entropy  interval maps  symbolic dynamics       font style='font-size:12px;'> 2010/12/28
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm is obtained by t...
The Border algorithm and the iPred algorithm find the Hasse diagrams of FCA lattices. We show that they can be generalized to ar-bitrary lattices. In the case of iPred, this requires the identificatio...
A new conception for computing gröbner basis and its applications      Gr¨obner basis  F5  GVW  TRB  Mpair       font style='font-size:12px;'> 2011/3/4
This paper presents a conception for computing gr¨obner basis. We convert some of gr¨obner-computing algorithms, e.g., F5, extended F5 and GWV algorithms into a special type of algorithm.
Bertrand competiton has been a prominent paradigm for the empirical study of differentiated product markets for at least twenty years. Firms engaged in Bertrand competition maximize profits by choosi...
Given non-negative weights wS on the k-subsets S of a km-element set V , we consider the sum of the products wS1 · · ·wSm over all partitions V =S1 [ . . . [ Sm into pairwise disjoint k-subsets Si.
An Algorithm for Computing the Ratliff-Rush Closure      Algorithm  Computing the Ratliff-Rush Closure        font style='font-size:12px;'> 2010/11/30
Let I ⊂ K[x, y] be a hx, yi-primary monomial ideal where K is a field. This paper produces an algorithm for computing the Ratliff-Rush closure eI for the ideal I =hm0, . . . ,mni whenever mi is ...

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