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DNA labelled graphs with DNA computing

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Science China Mathematics 2008年第3期51卷 437-452页

作者： wang shiying YUAN Jun LIN ShangWei School of Mathematical Sciences Shanxi UniversityTaiyuan 030006China

Let k ? 2, 1 ? i ? k and α ? 1 be three integers. For any multiset which consists of some k-long oligonucleotides, a DNA labelled graph is defined as follows: each oligonucleotide from the multiset becomes a point; two points are connected by an arc from the first point to the second one if the i rightmost nucleotides of the first point overlap with the i leftmost nucleotides of the second one. We say that a directed graph D can be (k, i; α)-labelled if it is possible to assign a label (l 1(x), ..., l k (x)) to each point x of D such that l j (x) ? {0, ..., α ? 1} for any j ? {1, ..., k} and (x, y) ? E(D) if and only if (l k?i+1(x), ..., l k (x)) = (l 1(y), ..., l i (y)). By the biological background, a directed graph is a DNA labelled graph if there exist two integers k, i such that it is (k, i; 4)-labelled. In this paper, a detailed discussion of DNA labelled graphs is given. Firstly, we study the relationship between DNA labelled graphs and some existing directed graph classes. Secondly, it is shown that for any DNA labelled graph, there exists a positive integer i such that it is (2i, i; 4)-labelled. Furthermore, the smallest i is determined, and a polynomial-time algorithm is introduced to give a (2i, i; 4)-labelling for a given DNA labelled graph. Finally, a DNA algorithm is given to find all paths from one given point to another in a (2i, i; 4)-labelled directed graph.

关键词： DNA labelled graphs DNA computing directed line-graphs 05C28

Microstructural evolution and FCC twinning behavior during hot deformation of high temperature titanium alloy Ti65

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Journal of Materials Science & Technology 2020年第14期47卷 56-69页

作者： Zhixin Zhang Jiangkun Fan Bin Tang Hongchao Kou Jian wang Xin wang shiying wang Qingjiang wang Zhiyong Chen Jinshan Li State Key Laboratory of Solidification Processing Northwestern Polytechnical UniversityXi’anShaanxi710072China National&Local Joint Engineering Research Center for Precision Thermoforming Technology of Advanced Metal Materials Xi’anShaanxi710072China Baoti Group Ltd. BaojiShaanxi721014China School of Materials Science and Engineering Changzhou UniversityChangzhouJiangsu213164China Institute of Metal Research Chinese Academy of SciencesShenyangLiaoning 110016China

Although the development of titanium alloys with working temperatures above 600?C faces enormous difficulties and challenges,the related research has not *** the present work,detailed analyses on microstructure evolution and hot deformation behavior of a new temperature resistant 650?C titanium alloy Ti65 were investigated from micrometer scale to nanometer *** results revealed that lamellarαgrains gradually fragmentized and spheroidized during theα+βphase region compression and the orientation of the c-axis ofαgrains gradually aligned to radial directions,forming two high Schmid factors(SFs)value texture eventually with the increase of strain to ***,there were some strengthening characters in theα+βphase region such as lenticularαsand nano silicide(TiZr)6 *** theβphase region,fine equiaxed dynamic recrystallized(DRX)βgrains were ***,the variant selection ofαm′artensite followed Burgers orientation relationship during the compression *** main deformation mechanisms of theα+βphase region were dislocation slip and orientation dependent ***,the deformation process in theβphase region was controlled byβgrain ***,many nano scale FCC twins were generated at the interface ofαl′ath during deforming in theβphase region,which was firstly observed in Ti65 alloy.

关键词： High temperature titanium alloy Hot deformation Microstructure evolution Texture FCC twin

Non-Resonant Structure Design of Catenary Transformer in Ultrasonic Gear Honing

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Wuhan University Journal of Natural Sciences 2012年第1期17卷 67-72页

作者： LI Xiangpeng ZHANG Chunhui wang shiying College of Mechanical Engineering Taiyuan University of TechnologyTaiyuan 030024ShanxiChina

To solve the design problem of transformer composed of non-resonant structure in ultrasonic gear-honing, force coupling conditions for moderately thick annular plate （MTAP） and catenary horn are proposed, and the frequency equations of the transformer, which consist of an MTAP and a catenary horn, are derived based on Mindlin＇s theory. The design parameters of the transformer were obtained by solving the frequency equations with the help of MATLAB, and its mode and frequency were deduced by the modal analysis of finite element method （FEM）, which are consistent with the theoretical design demands. The transformer design can be extended from system with thin annular plate to that with MTAP as the theoretical method by the simulation analysis of various ratios of the thickness to radius.

关键词： ultrasonic gear honing moderately thick annular plate (MTAP) Mindlin's theory catenary transformer

Microstructure and mechanical properties of CoCrNi-Mo medium entropy alloys:Experiments and first-principle calculations

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Journal of Materials Science & Technology 2021年第3期62卷 25-33页

作者： Ruobin Chang Wei Fang Jiaohui Yan Haoyang Yu Xi Bai Jia Li shiying wang Shijian Zheng Fuxing Yin Tianjin Key Laboratory of Materials Laminating Fabrication and Interface Control Technology Tianjin 300132China Research Institute for Energy Equipment Materials School of Materials Science and EngineeringHebei University of TechnologyTianjin 300132China School of Science Hebei University of TechnologyTianjin 300132China School of Materials Science and Engineering Changzhou UniversityChangzhou 213164China

The effect of Mo additions on the microstructures and mechanical properties of CoCrNi alloys was investigated,meanwhile,ab initio calculations are performed to quantitatively evaluate the lattice distortion and stacking fault energy(SFE).The yield strength,ultimate tensile strength,and elongation of(CoCrNi)_(97)Mo_(3)alloy are 475 MPa,983 MPa and 69%,*** yield strength is increased by~30%and high ductility is maintained,in comparison with CoCrNi *** the nano-twins and dislocations,the higher density of stacking faults is induced during the tensile deformation for(CoCrNi)_(97)Mo_(3)*** initio calculation results indicate the mean square atomic displacement(MSAD)and SFE value of(CoCrNi)_(97)Mo_(3)alloy is 42.6 pm^(2)and-40.4 mJ/m^(2)at 0 K,*** relationship between mechanical properties and MSAD,SFE for various multiple principal element alloys is discussed.

关键词： Medium entropy alloys Severe lattice distortion Stacking fault energy Single phase Mechanical properties Ab initio calculations High entropy alloys

DIAGNOSABILITY OF CAYLEY GRAPH NETWORKS GENERATED BY TRANSPOSITION TREES UNDER THE COMPARISON DIAGNOSIS MODEL

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Annals of Applied Mathematics 2016年第2期32卷 166-173页

作者： Mujiangshan wang shiying wang School of Electrical Engineering & Computer Science The University of Newcastle Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Math.and Information ScienceHenan Normal University

Diagnosability of a multiprocessor system is one important study *** graph network Cay（Tn,Sn） generated by transposition trees Tnis one of the attractive underlying topologies for the multiprocessor *** this paper,i... 详细信息

关键词： interconnection network graph diagnosability comparison diagnosis model Cayley graph

Some Properties of the g-Good-Neighbor (g-Extra) Diagnosability of a Multiprocessor System

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American Journal of Computational Mathematics 2016年第3期6卷 259-266页

作者： Yunxia Ren shiying wang School of Mathematics and Information Science Henan Normal University Xinxiang China

Diagnosability of a multiprocessor system is one important study topic. In 2012, Peng et al. proposed a measure for fault tolerance of the system, which is called the g-good-neighbor diagnosability that restrains every fault-free node containing at least g fault-free neighbors. In 2015, Zhang et al. proposed a measure for fault diagnosis of the system, namely, g-extra diagnosability, which restrains that every fault-free component has at least g+1 fault-free nodes. In this paper, we obtain some properties of the g-good-neighbor (g-extra) diagnosability of the system and give the g-good-neighbor (g-extra) diagnosability of some graphs under the PMC model and MM* model.

关键词： Interconnection Network Combinatorics Diagnosability

A Priori Error Analysis for NCVEM Discretization of Elliptic Optimal Control Problem

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Engineering（科研） 2024年第4期16卷 83-101页

作者： shiying wang Shuo Liu School of Mathematics and Statistics Shandong Normal University Jinan China

In this paper, we propose the nonconforming virtual element method (NCVEM) discretization for the pointwise control constraint optimal control problem governed by elliptic equations. Based on the NCVEM approximation of state equation and the variational discretization of control variables, we construct a virtual element discrete scheme. For the state, adjoint state and control variable, we obtain the corresponding prior estimate in H1 and L2 norms. Finally, some numerical experiments are carried out to support the theoretical results.

关键词： Nonconforming Virtual Element Method Optimal Control Problem a Priori Error Estimate

A Proof for g-Good-Neighbor Diagnosability of Exchanged Hypercubes

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American Journal of Computational Mathematics 2019年第3期9卷 133-142页

作者： Yunxia Ren shiying wang School of Mathematics and Information Science Henan Normal University Xinxiang China

The diagnosability of a multiprocessor system or an interconnection network is an important research topic. The system and an interconnection network have an underlying topology, which is usually presented by a graph. In this paper, we show proof for the g-good-neighbor diagnosability of the exchanged hypercube EH (s,t) under the PMC model and MM* model.

关键词： Interconnection Network Diagnosability Exchanged Hypercube

Changes of equatorial wind fields in the Western Pacific and El Nino

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Acta Oceanologica Sinica 1988年第2期7卷 214-225页

作者： Gao shiying and wang Jingshu Marine Environmental Forecasting Center, State Oceanic Administration, Beijing, China China

The relationship between SST in the Eastern Pacific and equatorial wind fields in the Western Pacific is analysed by using *** is pointed out that in the year before El Nino , the continuative easterly anomalies and the meridional anomalies blowing from the Equator to both sides in the Equatorial Western Pacific cause the sea level in the Western Pacific to rise higher than in the Eastern Pacific and the sea level at the Equator to drop lower than on both sides of it. In the El Nino year, the westerly anomalies and the meridional anomalies blowing from both sides to the Equator bring warm water to build up around the Equator. At such times Kelvin waves are generated and they play an important role in raising SST in the Eastern Pacific. It is also emphatically pointed out that in the El Nino year the two maxima of the equatorial westerly anomalies, the two cross-equatorial air flows from the Northern Hemisphere to the Southern one and the two maxima of the near-equatorial tropical cyclones in the Eq

关键词： Changes of equatorial wind fields in the Western Pacific and El Nino SST El