RECURSION

作品数:64被引量:67H指数:5
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相关领域:理学更多>>
相关作者:范文涛谭连生贾旭光廖琪王娅更多>>
相关机构:中国科学院重庆第二师范学院北京大学北方交通大学更多>>
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相关基金:国家自然科学基金北京市自然科学基金河北省自然科学基金河南省自然科学基金更多>>
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Non-Recursive Base Conversion Using a Deterministic Markov Process
《Journal of Applied Mathematics and Physics》2024年第6期2112-2118,共7页Louis M. Houston 
We prove that non-recursive base conversion can always be implemented by using a deterministic Markov process. Our paper discusses the pros and cons of recursive and non-recursive methods, in general. And we include a...
关键词:Base Conversion RECURSION Euclidean Division Geometric Series Markov Process 
Distributed Dynamic Load in Structural Dynamics by the Impulse-Based Force Estimation Algorithm
《Computer Modeling in Engineering & Sciences》2024年第6期2865-2891,共27页Yuantian Qin Yucheng Zhang Vadim V.Silberschmidt 
This paper proposes a novel approach for identifying distributed dynamic loads in the time domain.Using polynomial andmodal analysis,the load is transformed intomodal space for coefficient identification.This allows t...
关键词:Distributed force estimation time domain DECONVOLUTION RECURSION 
Real eigenvalues determined by recursion of eigenstates
《Chinese Physics B》2024年第3期196-200,共5页刘通 王友国 
This work was supported by the National Natural Science Foundation of China(Grant No.62071248);the Natural Science Foundation of Nanjing University of Posts and Telecommunications(Grant No.NY223109);China Postdoctoral Science Foundation(Grant No.2022M721693).
Quantum physics is primarily concerned with real eigenvalues,stemming from the unitarity of time evolutions.With the introduction of PT symmetry,a widely accepted consensus is that,even if the Hamiltonian of the syste...
关键词:real eigenvalues NON-HERMITIAN QUASIPERIODIC 
The Bivariate Normal Integral via Owen’s T Function as a Modified Euler’s Arctangent Series
《American Journal of Computational Mathematics》2023年第4期476-504,共29页Janez Komelj 
The Owen’s T function is presented in four new ways, one of them as a series similar to the Euler’s arctangent series divided by 2π, which is its majorant series. All possibilities enable numerically stable and ...
关键词:Owen’s T Function Bivariate Normal Integral Euler’s Arctangent Series RECURSION R Package Phi2rho 
Nonlinear Program Construction and Verification Method Based on Partition Recursion and Morgan's Refinement Rules被引量:2
《Wuhan University Journal of Natural Sciences》2023年第3期246-256,共11页WANG Changjing CAO Zhongxiong YU Chuling WANG Changchang HUANG Qing ZUO Zhengkang 
Supported by the National Natural Science Foundation of China(62262031);Science and Technology Key Project of Education Department of Jiangxi Province(GJJ2200302,GJJ210307);the Graduate Innovative Special Fund Projects of Jiangxi Province(YJS2022064)
The traditional program refinement strategy cannot be refined to an executable program,and there are issues such as low verification reliability and automation.To solve the above problems,this paper proposes a nonline...
关键词:program construction partition recursion Morgan's refinement rules loop invariant VCG Isabelle theorem prover 
Optical recursional binormal optical visco Landau-Lifshitz electromagnetic optical density
《Communications in Theoretical Physics》2023年第5期17-37,共21页Talat Körpinar Zeliha Körpinar 
In this manuscript,we study a new version of the optical recursional binormal microbeam model for a flexible binormal microscale beam in terms of a binormal normalized operator.Also,we give new explanations for the op...
关键词:optical recursion optical visco Landau-Lifshitz microscale flexible elastic microscale electromagnetic optimistic density visco microbeam model 
Carleman Linearization and Systems of Arbitrary Depth Polynomial Recursions
《Advances in Linear Algebra & Matrix Theory》2022年第1期1-23,共23页Mikołaj Myszkowski 
New approach to systems of polynomial recursions is developed based on the Carleman linearization procedure. The article is divided into two main sections: firstly, we focus on the case of uni-variable depth-one polyn...
关键词:Polynomial Recursion Carleman Linearization Transfer Matrices 
A Formal Method for Developing Algebraic and Numerical Algorithms被引量:1
《Wuhan University Journal of Natural Sciences》2021年第2期191-199,共9页ZUO Zhengkang SU Wei LIANG Zanyang HUANG Qing WANG Yuan WANG Changjing 
Supported by the National Natural Science Foundation of China (61862033, 61762049, 61902162);Jiangxi Provincial Natural Science Foundation (20202BABL202026, 20202BABL202025, 20202BAB202015)。
The development of algebraic and numerical algorithms is a kind of complicated creative work and it is difficult to guarantee the correctness of the algorithms. This paper introduces a systematic and unified formal de...
关键词:algebraic and numerical algorithms formal method partition and recursion mathematical induction 
Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters
《Communications in Theoretical Physics》2020年第1期66-80,共15页A D Alhaidari 
partially support by the Saudi Center for Theoretical Physics(SCTP).
We present a formulation of quantum mechanics based on the theory of orthogonal polynomials.The wavefunction is expanded over a complete set of square integrable basis where the expansion coefficients are orthogonal p...
关键词:TRIDIAGONAL REPRESENTATION orthogonal polynomials RECURSION relation ASYMPTOTICS ENERGY spectrum phase shift 
Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy
《Chinese Annals of Mathematics,Series B》2019年第3期457-468,共12页Qiufang LIU Chuanzhong LI 
supported by the National Natural Science Foundation of China(No.11571192);the Natural Science Foundation of Ningbo(No.2015A610157);K.C.Wong Magna Fund in Ningbo University
In this paper, the authors define the noncommutative constrained KadomtsevPetviashvili(KP) hierarchy and multi-component noncommutative constrained KP hierarchy. Then they give the recursion operators for the noncommu...
关键词:RECURSION operator NONCOMMUTATIVE CONSTRAINED KP HIERARCHY MULTI-COMPONENT NONCOMMUTATIVE CONSTRAINED KP HIERARCHY 
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