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Skew Motzkin Paths

Acta Mathematica Sinica,English Series 2017年第5期33卷 657-667页

作者： qing Lin lu School of Mathematics and Statistics Jiangsu Normal University Xuzhou 221116 P. R. China

In this paper, we study the class S of skew Motzkin paths, i.e., of those lattice paths that are in the first quadrat, which begin at the origin, end on the x-axis, consist of up steps U =（1, 1）,down steps D =（1,-1）, horizontal steps H =（1, 0）, and left steps L =（-1,-1）, and such that up steps never overlap with left steps. Let S;be the set of all skew Motzkin paths of length n and let 8;= |S;|. Firstly we derive a counting formula, a recurrence and a convolution formula for sequence{8;}n≥0. Then we present several involutions on S;and consider the number of their fixed *** we consider the enumeration of some statistics on S;.

关键词： Dyck path Motzkin path skew Motzkin path enumeration

Relationship between Coordination Structure and Biological Activity of Copper(II) Nicotinate

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Chinese Journal of Structural Chemistry 2006年第9期25卷 1141-1147页

作者： CHEN Qiang LI qing-lu Institute of Animal Science and Technology Agricultural and Forestry University Fuzhou 350002 China Institute of Life Science Key Laboratory of Biological Pesticide and Chemicobiology of Education Ministry Agricultural and Forestry University Fuzhou 350002 China

The copper（Ⅱ） complexes of pyridine-3-carboxylic acid （nicotinic acid） and pyridine-2-carboxylic acid （isonicotinic acid） were synthesized, and their structures were characterized by elemental analysis, infrared spectrum, powder X-ray diffraction and so on. The results show that under experimental conditions, the ligands of synthesized copper nicotinate and copper isonicotinate are coordinated simultaneity with copper（Ⅱ） via the nitrogen of pyridine group and an oxygen of carboxylic acid group to form bidentate chelates. The crystal of copper nicotinate with two six-membered chelate rings belongs to monoclinic system, while that of copper isonicotinate having two five-membered chelate rings is of triclinic system. The tests show that the biological activities, such as the improvement of feed utilization, growth, anti-oxidation ability of organism and disease-resistant power, are different when copper nicotinate, copper inicotinate, copper-lysine chelate, copper-methionine chelate and copper sulphate are added in pig＇s feed, respectively. Due to its higher biological activity, less pollution and lower toxicity, copper nicotinate has wide potential applications as a feed additive.

关键词： pyridine-3-carboxylic acid (copper nicotinate) copper pyridine-2-carboxylic acid (copper isonicotinate) copper coordination structure toxicity growth-promoting enzyme activity

Exponential stability of a pendulum in dynamic boundary feedback with a viscous damped wave equation

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Journal of Control and Decision 2022年第2期9卷 186-192页

作者： lu lu Bao-qing lu School of Basic Courses Beijing PolytechnicBeijngPeoples Republic of China School of Stistics Renmin University of ChinaBeijngPeople's Republic of China

In this paper,we continue the earlier work[lu,L,&Wang,D.L.(2017).Dynamic boundary feed-back of a pendulum coupled with a viscous damped wave *** Proceedings of the 36th Chinese Control Conference(CCQ)(pp.1676-1680)]on study the stability of a pendulum coupled with a viscous damped wave equation *** time we get the exponential stability result which is much better than the previous strong *** a detailed spectral analysis and opera-tor separation,we establish the Riesz basis property as well as the spectrum determined growth condition for the ***,the exponential stability of the system is achieved.

关键词： Pendulum dynamic boundary feedback control viscous damping spectral analysis exponential stability

Energetic Argument for Bimodal Black Hole Accretion discs

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Chinese Physics Letters 2002年第10期19卷 1562-1564页

作者： Lin Yi-qing, lu Ju-Fu Department of Physics Xiamen University Xiamen 361005

Based on simple energetic considerations, we show that two crucial ingredients of bimodal black hole accretion discs, namely the sonic point and the transition radius, can be determined from the disc constant paramete... 详细信息

关键词： Black holes Instability

Effects of concave and convex substrate curvature on cell mechanics and the cytoskeleton

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Chinese Chemical Letters 2017年第4期28卷 818-826页

作者： Shuang-Shuang Chen Xue-Min lu qing-Hua lu School of Chemistry and Chemical Engineering State Key Laboratory of Metal Matrix Composites Shanghai Jiao Tong University Shanghai 200240 China

In order to understand how cells respond to concave and convex subcellular surface structures,colloidal crystal array and honeycomb-structured surfaces composed of highly ordered hexagonal units with completely inverse curvature were fabricated via facile self-assembly and breath figure approaches,*** influence of hexagonal surface curvature on cell fate was subsequently *** underwent more extensive spreading on the convex colloidal crystal array surface,while adhesive forces were higher on the concave honeycomb *** behaviors of cells on the different surfaces were investigated by comparing cell morphology,cellular adhesive force and cytoskeleton *** results revealed comprehensive differences in cell behavior between those on concave honeycomb surfaces and convex colloidal crystal arrays.

关键词： Colloidal crystal array Honeycomb structure Substrate curvature Cytoskeleton Adhesive force

Experimental Study on Combustion Characteristics and NOX Emissions of Pulverized Anthracite Preheated by Circulating Fluidized Bed

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Journal of Thermal Science 2011年第4期20卷 355-361页

作者： WANG Jun ZHU Jian-guo lu qing-gang Institute of Engineering Thermophysics Chinese Academy of Sciences 11 Beisihuanxi Road Haidian District Beijing 100190 China Graduated University of Chinese Academy of Sciences Shijingshan District Beijing 100049 China

A 30 kW bench-scale rig of pulverized anthracite combustion preheated by a circulating fluidized bed （CFB） was developed. The CFB riser has a diameter of 90 mm and a height of 1,500 mm. The down-fired combustion chamber （DFCC） has a diameter of 260 mm and a height of 3,000 mm. Combustion experiments were carded out using pulverized anthracite with 6.74% volatile content. This low volatile coal is difficult to ignite and burn out. Therefore, it requires longer burnout time and higher combustion temperature, which results in larger NOx emis- sions. In the current study, important factors that influence the combustion characteristics and NOx emissions were investigated such as excess air ratio, air ratio in the reducing zone, and fuel residence time in the reducing zone. Pulverized anthracite can be quickly preheated up to 800~C in CFB when the primary air is 24% of theo- retical air for combustion, and the temperature profile is uniform in DFCC. The combustion efficiency is 94.2%, which is competitive with other anthracite combustion technologies. When the excess air ratio ranges from 1.26 to 1.67, the coal-N conversion ratio is less than 32% and the NOx emission concentration is less than 371 mg/m^3 （@6% O2）. When the air ratio in the reducing zone is 0.12, the NOx concentration is 221 mg/m^3 （@6% O2）, and the coal-N conversion ratio is 21%, which is much lower than that of other boilers.

关键词： circulating fluidized bed preheat pulverized anthracite NOx

Planar liquid crystal polarization optics for near-eye displays

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Light(Science & Applications) 2021年第7期10卷 1152-1154页

作者： Yan-qing lu Yan Li National Laboratory of Solid State Microstructures Nanjing University210093 NanjingChina Department of Electronic Engineering Shanghai Jiao Tong University200240 ShanghaiChina

As a promising candidate for next-generation mobile platforms,virtual reality and augmented reality have the potential to revolutionize the way we perceive and interact with various types of digital *** the meantime,ultrathin planar liquid crystal polarization optics are enabling a new evolutionary trend in near-eye displays.A recent invited review paper published in eLight provides an insightful review on liquid crystal optical elements and their applications toward AR and VR.

关键词： optics crystal liquid

Recent advances in efficient computation of deep convolutional neural networks

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Frontiers of Information Technology & Electronic Engineering 2018年第1期19卷 64-77页

作者： Jian CHENG Pei-song WANG Gang LI qing-hao HU Han-qing lu National Laboratory of Pattern Recognition Institute of Automation Chinese Academy of Sciences Beijing 100190 China University of Chinese Academy of Sciences Beijing 100049 China

Deep neural networks have evolved remarkably over the past few years and they are currently the fundamental tools of many intelligent *** the same time,the computational complexity and resource consumption of these networks continue to *** poses a significant challenge to the deployment of such networks,especially in real-time applications or on resource-limited ***,network acceleration has become a hot topic within the deep learning *** for hardware implementation of deep neural networks,a batch of accelerators based on a field-programmable gate array(FPGA) or an application-specific integrated circuit(ASIC)have been proposed in recent *** this paper,we provide a comprehensive survey of recent advances in network acceleration,compression,and accelerator design from both algorithm and hardware points of ***,we provide a thorough analysis of each of the following topics:network pruning,low-rank approximation,network quantization,teacher–student networks,compact network design,and hardware ***,we introduce and discuss a few possible future directions.

关键词： Deep neural networks Acceleration Compression Hardware accelerator

A novel ligand-free palladium catalytic system with SO_3H-functional ionic liquids as cocatalyst for amidocarbonylation reaction

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Chinese Chemical Letters 2008年第10期19卷 1175-1178页

作者： qing lu Zhao Lai Lai Wang State Key Laboratory for Oxo Synthesis ＆ Selective Oxidation Lanzhou Institute of Chemical Physics Chinese Academy of Sciences Lanzhou 730000 China Graduate University of Chinese Academy of Sciences Beijing 100039 China

Effects of Lewis acid BF3·OEt2, and BrCnsted acids TsOH, CF3COOH, H3PO4, and HCIO4 as cocatalyst respectively on the ligand-free palladium-catalyzed amidocarbonylation were investigated. SO3H-functional ionic liquids 1-methyl-3-（4-sulfonic acid）butylimidazolium hydrosulfate [MIm（CH2）4803H][HSO4] and 1-methyl-3-（4-sulfonic acid）butylimidazolium triflate [MIm（CH2）4SO3H][OTf] were firstly employed as cocatalysts instead of these Lewis acid and Brφnsted acids. By using a ligand-free and weak corrosive catalyst in situ prepared form PdBr2, LiBr.H2O, and [MIm（CH2）4SO3H][OTf], the arnidocarbo- nylation of benzaldehyde, acetamide, and CO could proceed smoothly and afford N-acetyl-α-phenylglycine with yield of 58% in [C6mim]PF6 medium.

关键词： Amidocarbonylation Palladium Ionic liquids Benzaldehyde N-Acyl-α-amino acid