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用插值算子解FIF反问题

数值计算与计算机应用 2000年第1期21卷 1-10页

作者：阮火军沙震浙江大学应用数学系

In this paper, we firstly introduce an-operator related with FIF. Then, we get an efficient method by this operator to solve the inverse problem of FIF and the inverse problem of piecewise FIF.

关键词： FIF反问题插值算子样条插值函数逼近

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仿射分形插值函数与纵向尺度因子

高校应用数学学报（A辑） 2007年第2期22卷 205-209页

作者：陈咸存阮火军郭秋丽宁波教育学院数学系浙江宁波315010 浙江大学数学系浙江杭州310027 浙江万里学院数学研究所浙江宁波315100

文中对一类仿射分形插值函数,用纵向尺度因子刻画了函数在特定值域分布的充分必要条件.

关键词：迭代函数系仿射分形插值函数纵向尺度因子

Geodesic metrics on fractals and applications to heat kernel estimates

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Science China Mathematics 2023年第5期66卷 907-934页

作者： Qingsong Gu Ka-Sing Lau Hua Qiu huo-jun ruan Department of Mathematics Nanjing UniversityNanjing 210093China Department of Mathematics The Chinese University of Hong KongHong KongChina Department of Mathematics University of PittsburghPittsburghPA 15217USA School of Mathematical Sciences Zhejiang UniversityHangzhou 310027China

It is well known that for a Brownian motion, if we change the medium to be inhomogeneous by a measure μ, then the new motion(the time-changed process) will diffuse according to a different metric D(·, ·).In 2009, Kigami initiated a general scheme to construct such metrics through some self-similar weight functions g on the symbolic space. In order to provide concrete models to Kigami’s theoretical construction, in this paper,we give a thorough study of his metric on two classes of fractals of primary importance: the nested fractals and the generalized Sierpinski carpets;we further assume that the weight functions g := ga are generated by“symmetric” weights a. Let M be the domain of a such that Dgadefines a metric, and let S be the boundary of M. One of our main results is that the metrics from ga satisfy the metric chain condition if and only if a ∈ *** determine M and S, we provide a recursive weight transfer construction on the nested fractals, and a basic symmetric argument on the Sierpinski carpet. As an application, we use the metric chain condition to obtain the lower estimate of the sub-Gaussian heat kernel. This together with the upper estimate obtained by Kigami allows us to have a concrete class of metrics for the time change, and the two-sided sub-Gaussian heat kernel estimate on the fundamental fractals.

关键词： Brownian motion heat kernel metric chain condition nested fractal quasisymmetry resistance metric Sierpinski carpet weight function

Sliding of self-similar sets

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Science China Mathematics 2007年第3期50卷 351-360页

作者： Li-feng XI huo-jun ruan Qiu-li GUO Institute of Mathematics Zhejiang Wanli UniversityNingbo 315100China Department of Mathematics Zhejiang UniversityHangzhou 310027China

This paper deals with the Lipschitz equivalence of slidings of self-similar sets by graph-directed construction and martingale theory.

关键词： fractal self-similar set Lipschitz equivalence 28A80

Comparison of daylight simulation methods for reflected sunlight from curtain walls

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Building Simulation 2021年第3期14卷 549-564页

作者： jun Wang Minchen Wei Xiukai ruan Department of Building Services Engineering The Hong Kong Polytechnic UniversityHung HornKowloonHong KongChina Wenzhou University Wenzhou CityZhejiang ProvinceChina

Curtain walls are more and more commonly used as building *** allow a better daylight availability and a direct connection to exterior ***,due to the high specular reflections,they may also introduce negative impacts,such as glare and urban heat island effects,to the surround,especially in dense and urban ***,it is important to effectively characterize the reflected sunlight from curtain *** study aimed to compare how different simulation methods can be used to characterize the reflected sunlight from curtain *** was found that the modeling of the sun and sky,ambient calculation,and the modeling of the building facade significantly affected the simulation results.A combination of forward and backward ray-tracing is recommended,with forward ray-tracing for identifying the curtain wall areas reflecting sunlight and backward ray-tracing for calculating illuminance due to reflected sunlight.A follow-up work is planned to investigate how different parameters will affect the simulation results and which method can produce similar results as field measurements.

关键词： daylighting reflected sunlight daylight simulation ray-tracing

Porous Organic Cage‑Based Quasi‑Solid‑State Electrolyte with Cavity‑Induced Anion‑Trapping Effect for Long‑Life Lithium Metal Batteries

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Nano-Micro Letters 2025年第2期17卷 376-386页

作者： Wei-Min Qin Zhongliang Li Wen‑Xia Su Jia‑Min Hu Hanqin Zou Zhixuan Wu Zhiqin ruan Yue‑Peng Cai Kang Li Qifeng Zheng School of Chemistry South China Normal UniversityGuangzhou 510006People’s Republic of China Key Laboratory of Functional Metal‑Organic Compounds of Hunan Province College of Chemistry and Material ScienceHengyang Normal UniversityHengyang 421008People’s Republic of China Guangzhou Key Laboratory of Energy Conversion and Energy Storage Materials Guangzhou 510006People’s Republic of China

Porous organic cages(POCs)with permanent porosity and excellent host–guest property hold great potentials in regulating ion transport behavior,yet their feasibility as solid-state electrolytes has never been testified in a practical ***,we design and fabricate a quasi-solid-state electrolyte(QSSE)based on a POC to enable the stable operation of Li-metal batteries(LMBs).Benefiting from the ordered channels and cavity-induced anion-trapping effect of POC,the resulting POC-based QSSE exhibits a high Li+transference number of 0.67 and a high ionic conductivity of 1.25×10^(−4) S cm^(−1) with a low activation energy of 0.17 *** allow for homogeneous Li deposition and highly reversible Li plating/stripping for over 2000 *** a proof of concept,the LMB assembled with POC-based QSSE demonstrates extremely stable cycling performance with 85%capacity retention after 1000 ***,our work demonstrates the practical applicability of POC as SSEs for LMBs and could be extended to other energy-storage systems,such as Na and K batteries.

关键词： Porous organic cage Cavity-induced anion-trapping Quasi-solid-state electrolyte Homogeneous Li+flux Lithium metal battery

Laser direct writing of flexible multifunctional airflow sensors on the Kevlar fabric

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Nano Research 2025年第1期18卷 443-454页

作者： Wei Wang Zi-Qing Chen Yong-Qi Li Yu-Long Wang Mei-Chen Liu Yun-Bo ruan Yang Zhang Shu-Juan Liu Qiang Zhao College of Electronic and Optical Engineering and College of Flexible Electronics(Future Technology) Nanjing University of Posts and TelecommunicationsNanjing 210023China State Key Laboratory of Organic Electronics and Information Displays and Jiangsu Key Laboratory for Biosensors Institute of Advanced Materials(IAM)Nanjing University of Posts and TelecommunicationsNanjing 210023China Zhe Jiang Topsun Logistic Control CO. LTD.Yuhuan 317600China Department of Rehabilitation Medicine School of Acupuncture-Moxibustion and Tuina and School of Health Preservation and RehabilitationNanjing University of Chinese MedicineNanjing 210023China

The growing interest in flexible devices has emerged as a global trend due to their advantages in flexibility,lightweight structure,and wearability,addressing the limitations of traditional *** wearable airflow sensors have been previously reported,the development of flexible fabric-based airflow sensors capable of functioning in environments with open flames—critical for fire rescue operations—has yet to be explored,largely due to the poor fire resistance of conventional *** this work,we first present a flexible,wearable,and multifunctional airflow sensor with excellent fire-resistant properties,fabricated through a simple direct laser writing *** sensor maintains airflow detection capabilities even in the presence of open ***,the fabrication of fabric-based sensors involves complex procedures such as carbon materials doping or vapor-phase deposition,leading to lengthy preparation cycles and high ***,fabric-based devices are inherently prone to *** address these challenges,we introduce twice-vertical laser-induced graphene(TVLIG)as a sensitive and reliable component for fire-resistant airflow *** resulting TVLIG/Kevlar fabric can be integrated into various garments,particularly protective suits,to form sensitive and fire-resistant airflow sensors capable of detecting airflow velocity and direction in both two-dimensional(2D)and three-dimensional(3D)spaces during fire ***,the TVLIG patterns can be expanded to multifunctional platforms,such as glucose detection for injured individuals,offering further applications in rescue *** functional expansion reduces the burden on rescue personnel and streamlines device *** its outstanding sensing capabilities,fire resistance,and expandability,the developed flexible airflow sensor shows great potential for various real-world rescue scenarios,promising advancements in wearable sensing technology for rescue enginee

关键词： flexible airflow sensor direct laser writing twice-vertical laser-induced graphene fire accident rescue Kevlar fabric

Experimental Study of Cavitation Phenomenon in a Centrifugal Blood Pump Induced by the Failure of Inlet Cannula

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Chinese Journal of Mechanical Engineering 2014年第1期27卷 165-170页

作者： LIN Zhe ruan Xiaodong ZOU jun FU Xin The State Key Lab of Fluid Power Transmission and Control Zhejiang University

Cavitation of centrifugal blood pump is a serious problem accompany with the blocking failure of short inlet cannula. However, hardly any work has been seen in published literature on this complex cavitation phenomenon caused by the coupling effect of inlet cannula blocking and pumps suction. Even for cavitation studies on ordinary centrifugal pumps, similar researches on this issue are rare. In this paper, the roles of throttling, rotation speed and fluid viscosity on bubble inception and intensity in a centrifugal blood pump are studied, on the basis of experimental observations. An adjustable throttle valve installed just upstream blood pump inlet is used to simulate the throttling effect of the narrowed inlet cannula. The rotation speed is adjusted from 2 600 r/rain to 3 200 r/min. Glycerin water solutions are used to investigate the influences of kinetic viscosity. Bubbles are recorded with a high-speed video camera. Direct observation shows that different from cavitation in industrial centrifugal pumps, gas nuclei appears at the nearby of vane leading edges while throttling is light, then moves upstream to the joint position of inlet pipe and pump with the closing of the valve. It＇s found that the critical inlet pressure, obtained when bubbles are first observed, decreases linearly with viscosity and the slope is independent with rotation speeds; the critical inlet pressure and the inlet extreme pressure which is obtained when the throttle valve is nearly closed, fall linearly with rotation speed respectively and the relative pressure between them is independent with rotation speed and fluid viscosity. This paper studies experimentally on cavitation in centrifugal blood pump that caused by the failure of assembled short inlet cannula, which mav beneficial the desima of centrifugal blood Dumo with inlet cannula.

关键词： centrifugal blood pump cavitation viscosity cannula diameter rotation speed

Major Depressive Disorder: Advances in Neuroscience Research and Translational Applications

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Neuroscience Bulletin 2021年第6期37卷 863-880页

作者： Zezhi Li Meihua ruan jun Chen Yiru Fang Clinical Research Center and Division of Mood Disorders of Shanghai Mental Health Center Shanghai Jiao Tong University School of MedicineShanghai 200030China Department of Neurology Ren Ji HospitalShanghai Jiao Tong University School of MedicineShanghai 200127China Shanghai Institute of Nutrition and Health Shanghai Information Center for Life SciencesChinese Academy of ScienceShanghai 200031China Center for Excellence in Brain Science and Intelligence Technology Chinese Academy of ScienceShanghai 200031China Shanghai Key Laboratory of Psychotic Disorders Shanghai 201108China

Major depressive disorder(MDD),also referred to as depression,is one of the most common psychiatric disorders with a high economic *** etiology of depression is still not clear,but it is generally believed that MDD is a multifactorial disease caused by the interaction of social,psychological,and biological ***,there is no exact pathological theory that can independently explain its pathogenesis,involving genetics,neurobiology,and *** present,there are many treatment measures for patients with depression,including drug therapy,psychotherapy,and neuromodulation *** recent years,great progress has been made in the development of new antidepressants,some of which have been applied in the *** article mainly reviews the research progress,pathogenesis,and treatment of MDD.

关键词： Major depressive disorder Pathogenesis Treatment Progress