scholarly journals Multipartite distribution property of one way discord beyond measurement

2015 ◽  
Vol 354 ◽  
pp. 157-164 ◽  
Author(s):  
Si-Yuan Liu ◽  
Yu-Ran Zhang ◽  
Wen-Li Yang ◽  
Heng Fan
Keyword(s):  
Distribution Property

Scale-Free Networks Based on the Value of Interest

2013 ◽  
Vol 753-755 ◽  
pp. 2959-2962
Author(s):  
Jun Tao Yang ◽  
Hui Wen Deng
Keyword(s):  
Network Model ◽  
Power Law ◽  
Scale Free Network ◽  
Power Law Distribution ◽  
Scale Free ◽  
Distribution Property ◽  
Scale Free Networks ◽  
Free Model ◽  
Free Network ◽  
Interest Model

Assigning the value of interest to each node in the network, we give a scale-free network model. The value of interest is related to the fitness and the degree of the node. Experimental results show that the interest model not only has the characteristics of the BA scale-free model but also has the characteristics of fitness model, and the network has a power-law distribution property.

Uniform Distribution in Model Sets

2002 ◽  
Vol 45 (1) ◽  
pp. 123-130 ◽  
Author(s):  
Robert V. Moody
Keyword(s):  
Uniform Distribution ◽  
Physical Space ◽  
Pure Point ◽  
Internal Space ◽  
Compact Closure ◽  
Related Model ◽  
Model Sets ◽  
Distribution Property ◽  
Distribution Of Points ◽  
Model Set

AbstractWe give a new measure-theoretical proof of the uniform distribution property of points in model sets (cut and project sets). Each model set comes as a member of a family of related model sets, obtained by joint translation in its ambient (the ‘physical’) space and its internal space. We prove, assuming only that the window defining themodel set ismeasurable with compact closure, that almost surely the distribution of points in any model set from such a family is uniform in the sense of Weyl, and almost surely the model set is pure point diffractive.

Point Clouds Based Dynamical Representation for Heterogeneous Objects

2012 ◽  
Vol 476-478 ◽  
pp. 1291-1296
Author(s):  
Jing Bo Li ◽  
Ji Quan Yang ◽  
Jian Ping Shi
Keyword(s):  
Volume Fraction ◽  
Point Clouds ◽  
Material Composition ◽  
Layer By Layer ◽  
Numerical Examples ◽  
Material Layer ◽  
Distribution Property ◽  
Heterogeneous Objects ◽  
Irregular Mesh ◽  
Distribution Vector

An approach of point clouds based dynamical representation for Heterogeneous Objects (HEO) is proposed to describe the HEO, in which materials distribution is uniformed or irregular. Mesh refined STL model and micro-tetrahedral cell are employed to rebuild HEO geometry. Meanwhile, distribution property, volume fraction and distribution vector are used to represent material features of HEO nodes within each material layer. Therefore, after implementing the above interrogation process layer by layer, HEO geometry and material composition representation can be defined. The approach is effective and practicable through some numerical examples demonstrated based on developed HEO fabrication system.

scholarly journals Stabilization of Discrete-Time Delayed Systems via Partially Delay-Dependent Controllers

2015 ◽  
Vol 2015 ◽  
pp. 1-14
Author(s):  
Guoliang Wang ◽  
Boyu Li
Keyword(s):  
Discrete Time ◽  
State Feedback ◽  
Transition Probabilities ◽  
Stabilization Problem ◽  
Delayed Systems ◽  
Stabilizing Controller ◽  
Discrete Time Markov Chain ◽  
Distribution Property ◽  
Special Cases ◽  
Delay Dependent

This paper is concerned with the stabilization problem for a class of discrete-time delayed systems, whose stabilizing controller is firstly designed to be partially delay-dependent. The distribution property of such a controller is firstly described by a discrete-time Markov chain with two modes. It is seen that two traditionally special cases of state feedback controller without or with time delay, respectively, are included. Based on the proposed controller, new stabilization conditions depending on some probabilities are developed. Because of the established results with LMI forms, they are further extended to more general cases that the transition probabilities are uncertain and totally unknown, while more applications are also given in detail. Finally, numerical examples are used to demonstrate the effectiveness and superiority of the proposed methods.

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