WIENER

作品数:389被引量:849H指数:12
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Wiener Number of Some Subgraphs in Archimedean Tilings
《Applied Mathematics》2021年第11期939-946,共8页Yunjing Pan 
In this paper, we deduce Wiener number of some connected subgraphs in tilings (4, 4, 4, 4) and (4, 6, 12), which are in Archimedean tilings. And compute their average distance.
关键词:Archimedean Tiling Wiener Number Binary Hamming Graph Average Distance 
Solution of Stochastic Van der Pol Equation Using Spectral Decomposition Techniques
《Applied Mathematics》2020年第3期184-202,共19页Maha Hamed Ibrahim L. El-Kalla Mohamed A. El-Beltagy Beih S. El-desouky 
In this paper, we introduce the study of the general form of stochastic Van der Pol equation (SVDP) under an external excitation described by Gaussian white noise. The study involves the use of Wiener-Chaos expansion ...
关键词:VAN der POL Oscillator Wiener-Chaos EXPANSION Wiener-Hermite EXPANSION Limit Cycle White Noise Damping Force 
Extended Wiener Process in Nonstandard Analysis被引量:2
《Applied Mathematics》2020年第3期247-254,共8页Shuya Kanagawa Kiyoyuki Tchizawa 
Standing on a different view point from Anderson, we prove that the extended Wiener process defined by Anderson satisfies the definition of the Wiener process in standard analysis, for example the Wiener process at ti...
关键词:WIENER PROCESS Ito’s PROCESS Stochastic DIFFERENTIAL EQUATION S-Continuity NONSTANDARD Analysis 
Behavior of a Scale Factor for Wiener Integrals of an Unbounded Function
《Applied Mathematics》2019年第5期326-332,共7页Young Sik Kim 
The purpose of this paper is to investigate the behavior of a scale factor for Wiener integrals about the unbounded function , where {a1,a2,...,an} is an orthonormal set of elements in L2[0,T] on the Wiener space C0[0...
关键词:WIENER Space WIENER INTEGRAL ANALYTIC WIENER INTEGRAL ANALYTIC FEYNMAN INTEGRAL SCALE FACTOR 
Behavior of a Scale Factor for Wiener Integrals and a Fourier Stieltjes Transform on the Wiener Space
《Applied Mathematics》2018年第5期488-495,共8页Young Sik Kim 
The purpose of this paper is to investigate the behavior of a Wiener integral along the curve C of the scale factor ρ > 0 for the Wiener integral ∫C0[0,T]F(ρx)dm(x) about the function defined on the Wiener space C0...
关键词:WIENER Space WIENER INTEGRAL FEYNMAN INTEGRAL ANALYTIC WIENER INTEGRAL ANALYTIC FEYNMAN INTEGRAL Fourier-Stieltjes Transform Change of SCALE Formula SCALE Factor 
The Annealed Entropy of Wiener Number on Random Double Hexagonal Chains
《Applied Mathematics》2017年第10期1473-1480,共8页Haizhen Ren Xueli Su 
We study a random planar honeycomb lattice model, namely the random double hexagonal chains. This is a lattice system with nonperiodic boundary condition. The Wiener number is an important molecular descriptor based o...
关键词:RANDOM BENZENOID Chain WIENER NUMBER ENTROPY 
On Graphs with Same Distance Distribution被引量:1
《Applied Mathematics》2017年第6期799-807,共9页Xiuliang Qiu Xiaofeng Guo 
In the present paper we investigate the relationship between Wiener number W, hyper-Wiener number R, Wiener vectors WV, hyper-Wiener vectors HWV, Wiener polynomial H, hyper-Wiener polynomial HH and distance distributi...
关键词:DISTANCE Distribution DISTANCE Matrix WIENER VECTOR Hyper-Wiener VECTOR 
Reciprocal Complementary Wiener Numbers of Non-Caterpillars
《Applied Mathematics》2016年第3期219-226,共8页Yanli Zhu Fuyi Wei Feng Li 
The reciprocal complementary Wiener number of a connected graph G is defined as where is the vertex set. is the distance between vertices u and v, and d is the diameter of G. A tree is known as a caterpillar if the re...
关键词:Reciprocal Complementary Wiener Number Wiener Number CATERPILLAR 
The Schultz Index and Schultz Polynomial of the Jahangir Graphs <i>J </i><sub>5, <i>m </i></sub>被引量:2
《Applied Mathematics》2015年第14期2319-2325,共7页Mohammad Reza Farahani Wei Gao 
Let G be simple connected graph with the vertex and edge sets V (G) and E (G), respectively. The Schultz and Modified Schultz indices of a connected graph G are defined as and , where d (u, v) is the distance between ...
关键词:WIENER INDEX Schultz INDEX Modified Schultz INDEX Distance Jahangir GRAPHS 
Study of the Convergence of the Increments of Gaussian Process
《Applied Mathematics》2015年第6期933-939,共7页Abdelkader Bahram Shaban A. El-Shehawy 
Let be a Gaussian process with stationary increments . Let be a nondecreasing function of t with . This paper aims to study the almost sure behaviour of where with and is an increasing sequence diverging to .
关键词:WIENER PROCESS Gaussian PROCESS Law of the ITERATED LOGARITHM Regularly VARYING Function 
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