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CONTINUITY AND HAUSDORFF DIMENSION OF JULIA SET CONCERNING YANG-LEE ZEROS

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Acta Mathematica Scientia 2008年第3期28卷 530-534页

作者：高军扬乔建永 center of mathematics China University of Mining and Technology (Beijing)

Considering the Julia set J（Tλ） of the Yang-Lee zeros of the Potts model on the diamond hierarchical Lattice on the complex plane, the authors proved that HDJ（Tλ）〉 1 and discussed the continuity of J（Tλ） in... 详细信息

关键词： Hausdorff dimension continuity Julia set Yang-Lee zeros

Connectivity of the Mandelbrot set for the family of renormalization transformations

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Science china mathematics 2010年第3期53卷 849-862页

作者： WANG XiaoGuang 1,QIU WeiYuan 1 , YIN YongCheng 1 , QIAO JianYong 2 & GAO JunYang 2 1 School of Mathematical Sciences, Fudan university, Shanghai 200433, china 2.center of mathematics, china university of mining and technology, beijing 100083, china 1. School of Mathematical Sciences Fudan University Shanghai 200433 China2. Center of Mathematics China University of Mining and Technology Beijing 100083 China

We show that the Mandelbrot set for the family of renormalization transformations of 2-dimensional diamond-like hierachical Potts models in statistical mechanics is connected. We also give an upper bound for the Hausd... 详细信息

关键词： connectivity Mandelbrot set renormalization transformations

An improvement to the data processing course of electrochemical impedance technique

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Journal of university of Science and technology beijing 2003年第6期10卷 57-60页

作者： Yinglv Jiang, Yinshun Wu, and Hong ChuCorrosion and Protection center, university of Science and technology beijing, beijing 100083, china Corrosion and Protection Ctr. Univ. of Sci. and Technol. Beijing Beijing 100083 China

For some electrochemical systems the traditional data processing methods cannot be met, so it is necessary to develop a new method to deal with these problems. When processingthe electrochemical AC impedance data of titanium alloy TA12 in 3 percent NaCl solution (at freecorrosion potential, room temperature) a new method is developed which can detach the information ofthe interface resistance demonstrably from the interface capacitance. The results show that theinterface resistance and capacitance are all functions of frequency. And the AC impedance of theresistance and capacitance obey the following relations: C(f) = 10^(4.01982) f^(-0.9292), R(f)=10^(4.80011) (f+0.008)^(-0.90897), which is completely different from the traditional conceptionthat the interface resistance and capacitance are constants. And this phenomenon is ubiquitous intitanium alloys according to the study. So perhaps it is an innate characteristic of interface.

关键词： titanium alloy electrochemical impedance corrosion

Study on Sulfide-melt Inclusions in Mantle Xenoliths of Xinchang, Zhejiang

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International Journal of Minerals,Metallurgy and Materials 2000年第1期14卷 5-9页

作者： Jiuhua Xu Xuelei Chu YulingXie Fenglei Bie Dayi Qian university of Science and technology beijing, beijing 100083, china china university of Geosciences, beijing 100083, china The Research center of Mineral Resources Exploration, Chinese Academy Univ Sci & Technol beijing Beijing 100083 Peoples R China china Univ Geosci Beijing 100083 Peoples R China Chinese Acad Sci Res Ctr Mineral Resources Explorat Beijing 100101 Peoples R China Chinese Acad Sci Inst Geol Beijing 100029 Peoples R China

In minerals of mantle xenoliths captured within Tertiary alkali-basalt from Xinchang, Zhejiang province, china, many sulfidemelt inclusions were found by the observation of polished thin section. Electron microprobe analysis has been applied to detect the components of sulfide-melt inclusions. The result shows that the sulfide phases of inclusions are mainly pentlandite, and secondarily pyrrho- tite, The molar ratio of Ni to Fe, r_Ni,/r_Fe, of mineral phases in sulfide inclusions is related to olivine contents in host mantle xenoliths. The r_Ni/r_Ni, of sulfides from Xinchang samples has a possitive correlation to r_(Fe+Ni),/r_S. The r_(Fe+Ni),/r_S, becomes higher with the increasing of r_Ni/r_Fe In single sulfide-melt inclusions, r_Ni,/r_Fe, r_(Fe+Ni),/r, and Ni contents increase from the center to edge, reflecting a result of different cooling speed in an inclusion. A comparison between the data from Hannuoba, West Eifel of Germany and Nograd-Gomor of east Europe suggests that the composition of the inclusions is different for each area, which indicated that a regional differentiation of sulfide in mantle fluids.

关键词： mantle xenolith sulfide-melt inclusion electron microprobe analysis, Xinchang

Electrochemical impedance characteristics of LC4 aluminum alloy treated with ZH1 technique

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Rare Metals 2002年第1期21卷 48-55页

作者： ZHANG Wei, LI Jiuqing, WU Yinshun, and HE Jianping Corrosion and Protection center, university of Science and technology beijing, beijing 100083, china Corrosion and Protection center University of Science and Technology Beijing 北京 100083

Zhl technique was used to form a corrosion resistant layer on LC4alloy. the composition of the layer was studied by X-rayphotoelectron spectroscopy (XPS). It is found that the layer iscomposed of oxides of metals on the sub- strate, such as Al_2O_3,ZnO, MgO_, CuO, and MnO_2. The elecrochemical impedance spectrums(EIS) of LC4 aluminum alloy specimen were measured in NaCl solutionsto study the mechanism of the corrosion resistance of the alloytreated with Zh1 technique.

关键词： aluminium alloy rare earth metal electrochemical impedance corrosion

Online application of automatic surface quality inspection system to finishing line of cold rolled strips

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Journal of university of Science and technology beijing 2003年第4期10卷 38-41页

作者： Hao Sun, Ke Xu, and Jinwu XuNational Engineering Research center of Advanced Rolling, university of Science and technology beijing, beijing 100083, china National Engineering Research center of Advanced Rolling. university of Science and technology beijing Beijing 100083 China

An automatic surface quality inspection system installed on a finishing lineof cold rolled strips is introduced. The system is able to detect surface defects on cold rolledstrips, such as scratches, coil breaks, rusts, roll imprints, and so on. Multiple CCD area scancameras were equipped to capture images of strip surface simultaneously. Defects were detectedthrough 'Dark-field illumination' which is generated by LED illuminators. Parallel computationtechnique and fast processing algorithms were developed for real-time data processing. Theapplication to the production line shows that the system is able to detect defects effectively.

关键词： surface inspection cold rolled strip finishing line CCD cameras imageprocessing

Representations of Real and Complex Stability Radii of 2-Dimensional LinearSystems

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International Journal of Minerals,Metallurgy and Materials 1999年第4期13卷 299-301页

作者： Lequan Min1.2 Ning Song1(l Applied Science School, university of Science and technology’ beijing, beijing 100083, china2 china center of Advanced Science and technology, beijing 100080, china) Univ Sci & Technol beijing Appl Sci Sch Beijing 100083 Peoples R China china Ctr Adv Sci & Technol Beijing 100080 Peoples R China

Rigorous proofs are given for the representations of real and complex stability' radii of 2-dimensional linear systems. This representations can be used to analyze the robustness of a nominal 2-dimensional linear system under pelturbation of the system parameters, in particular testing the effect of numerical algorithms which are used to calculate the real stability radii of higher dimensional piecewise-linear systems.

关键词： linear systems robustness stability radii

Stratigraphic thermohistory and its implications for regional geoevolution in the Tarim Basin,NW china

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Science china Earth Sciences 2010年第10期53卷 1495-1505页

作者： WANG TieGuan1,DAI ShiFeng2,LI MeiJun1,ZHANG WeiBiao1,3,Qiu NanSheng1 & WANG GuangLi1 1 State Key Laboratory of Petroleum Resources and Prospecting,china university of Petroleum,beijing 102249,china 2 State Key Laboratory of Coal Resources & Safe mining,china university of mining & technology,beijing 100083,china 3 Exploration Research center,Exploration & Development Institute,china Petrochemical Corporation,beijing 100083,china 1. State Key Laboratory of Petroleum Resources and Prospecting China University of Petroleum Beijing 102249 China2. State Key Laboratory of Coal Resources & Safe Mining China University of Mining & Technology Beijing 100083 China3. Exploration Research Center Exploration & Development Institute China Petrochemical Corporation Beijing 100083 China

Fourteen vitrinite reflectance profiles from the Tarim Basin,NW china,show that the vitrinite reflectance profiles of individual wells follow a faulted and dislocated dual-stage pattern in the eastern section of the Tazhong Uplift and in the Tabei *** reflectance values in these profiles change sharply at the unconformity beneath the Lower Carboniferous Bachu or Upper Devonian Donghetang Formations,where the overlying Triassic to Carboniferous strata are still in a mature phase within the "liquid oil window".However,the underlying Lower Paleozoic reached the overmature phase beyond the "liquid oil window" towards the end of the Silurian,or in the Early Devonian at the *** the vitrinite reflectance profiles are attributed to a continuous,single-stage pattern in the western section of the Tazhong Uplift,in which the Lower Paleozoic is also in an overmature phase,their overmaturity would have been achieved relatively late in geological *** stratigraphic thermohistory has the following implications to regional geoevolution:(1) The overmature Lower Ordovician to Cambrian strata in the eastern section of the Tazhong Uplift and in the Tabei Uplift,as well as in the Manjiaer Depression,could not have acted as the source kitchen for normal oil(so-called black oil);(2) The dissimilarity in vitrinite reflectance profiles between the eastern and western sections of the Tazhong Uplift reveals Early Paleozoic paleotectonic features,i.e.,lower at the east and higher at the west,whereas recent tectonic features formed since the Late Paleozoic are in reverse,i.e.,higher in the east and lower at the west;(3) Reconstruction of the denuded thickness of sediments overlying the Lower Ordovician strata suggests reconsideration on the paleotectonic features in the Tarim Basin;(4) Based on the sustained duration of the "liquid oil window" for overmature source beds,it is predicted that the Suntuoguole Lower Uplift between the Awati and Manjiaer Depressions is a

关键词： vitrinite reflectance profile faulted and dislocated dual-stage pattern paleotectonic features sustained "liquid oil window" period source kitchen

An eigenelement method and two homogenization conditions

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Acta Mechanica Sinica 2009年第3期25卷 345-351页

作者： Yufeng Xing Xingming Wang The Solid Mechanics Research center, Beihang university, 100083 beijing, china The Solid Mechanics Research center Beihang University 100083 Beijing China

Under inspiration from the structure-preserving property of symplectic difference schemes for Hamiltonian systems, two homogenization conditions for a representative unit cell of the periodical composites are proposed, one condition is the equivalence of strain energy, and the other is the deformation similarity. Based on these two homogenization conditions, an eigenelement method is presented, which is characteristic of structure-preserving property. It follows from the frequency comparisons that the eigenelement method is more accurate than the stiffness average method and the compliance average method.

关键词： Composites Homogenization ,The equivalence of strain energy Deformation similarityEigenelement method