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Simple Harish-Chandra supermodules over the super Schrdinger algebra

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Science China Mathematics 2015年第12期58卷 2477-2488页

作者： cai YanAn GAO yun WANG YongJie School of Mathematical Sciences University of Science and Technology of China Department of Mathematics and Statistics York University

We study the N=1 super Schrdinger algebra S in(1+1)-dimensional spacetime. The first part of this paper determines the necessary and sufficient conditions for highest weight supermodules over S to be simple. The paper also describes the structure of all Verma supermodules and determines all simple Harish-Chandra supermodules over S.

关键词： super Schrodinger algebra weight supermodule simple supermodule Harish-Chandra supermodules

The classification of bi-quintic parametric polynomial minimal surfaces

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Applied Mathematics(A Journal of Chinese Universities) 2017年第1期32卷 14-26页

作者： LI cai-yun ZHU Chun-gang School of Mathematics and Physics Science Dalian University of Technology Panjin 124221 China School of Mathematical Sciences Dalian University of Technology Dalian 116024 China

Parametric polynomial surface is a fundamental element in CAD systems. Since the most of the classic minimal surfaces are represented by non-parametric polynomial, it is interesting to study the minimal surfaces represented in parametric polynomial form. Recently,Ganchev presented the canonical principal parameters for minimal surfaces. The normal curvature of a minimal surface expressed in these parameters determines completely the surface up to a position in the space. Based on this result, in this paper, we study the bi-quintic isothermal minimal surfaces. According to the condition that any minimal isothermal surface is harmonic,we can acquire the relationship of some control points must satisfy. Follow up, we obtain two holomorphic functions f（z） and g（z） which give the Weierstrass representation of the minimal surface. Under the constrains that the minimal surface is bi-quintic, f（z） and g（z） can be divided into two cases. One case is that f（z） is a constant and g（z） is a quadratic polynomial, and another case is that the degree of f（z） and g（z） are 2 and 1 respectively. For these two cases,we transfer the isothermal parameter to canonical principal parameter, and then compute their normal curvatures and analyze the properties of the corresponding minimal surfaces. Moreover,we study some geometric properties of the bi-quintic harmonic surfaces based on the B′ezier representation. Finally, some numerical examples are demonstrated to verify our results.

关键词： polynomial parametric curvature canonical compute quadratic satisfy isothermal acquire verify

A self-adaptive inorganic in-situ separator by particle crosslinking for nonflammable lithium-ion batteries

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Journal of Energy Chemistry 2025年第1期100卷 469-480页

作者： Jiarui Yang Jiuzhou Liu Wenrui cai Ziyu Zhao Shan Wang Lu He Shanshan Lv Zhiwei Zhu Zhongfeng Ji Guojiang Wen Hua Li Yuanming Zhai Xuewei Fu Wei Yang Yu Wang College of Polymer Science and Engineering State Key Laboratory of Polymer Materials Engineering Sichuan University

All-safe liquid-state lithium-ion batteries(ASLS-LIBs) is of great interest as they can potentially combine the safety of all-solid-state batteries with the high performance and low manufacturing cost of traditional liquid-state LIBs. However, the practical success of ASLS-LIBs is bottlenecked by the lack of advanced separator technology that can simultaneously realize high performances in puncturing-tolerability,fire-resistance, and importantly, wetting-capability with non-flammable liquid-electrolytes. Here, we propose a concept of inorganic in-situ separator(IISS) by hybrid-sol physical crosslinking directly onto the electrode surface to address the above challenges. Particularly, the hybrid-sol is designed with silica nanoparticles as the building block and poly(vinylidene difluoride) nanoparticles as the crosslinking agent. The critical factors for controlling the IISS microstructures and properties have been systematically investigated. The advantages of the IISS have been confirmed by its fast wetting with various fireresistant liquid-electrolytes, customizable thickness and porous structures, robust interface with planar or three-dimensional(3D)-structured electrodes, and importantly, unexpected self-adaptability against puncturing. Enabled by the above merits, a fire-resistant ASLS-LIB is successfully assembled and demonstrated with stable electrochemical performance. This sol-crosslinked IISS may open an avenue for the studies on the next-generation separator technology, cell assembling, solid electrolyte processing as well as non-flammable secondary batteries.

关键词： Silica nanoparticles

PD-based trajectory tracking control in automatic cell injection system

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控制理论与应用（英文版） 2013年第2期11卷 207-214页

作者： Wenkang XU Chenxiao cai yun ZOU School of Automation Nanjing University of Science and Technology

Trajectory tracking technology has been the focus of industrial manipulatory applications for many years, and its research has been found in micromanipulation in bioengineering recently. In this paper, a hybrid vision and force control method is applied to the automatic cell injection. The three-dimensional cell injection process involves the trajectory tracking in free space and the force control in contact space. A PD plus feedforward compensation control method is applied to the trajectory tracking in 3D space. Further, a PD-based robust controller is introduced into trajectory tracking while the systemic uncertainty of the cell injection is additionally considered. Both of the two control methods are theoretically proved to be exponential convergent. Finally, the effectiveness of the proposed method is verified as compared with other control methods by its application to trajectory tracking problem.

关键词： Cell injection Trajectory tracking PD-based robust control

Polymer microbottle with flexible tunability for ultrasensitive ultrasound sensing

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Science China(Physics,Mechanics & Astronomy) 2025年

作者： Liaosha Kuang Jialve Sun Shengnan Huangfu Tinglan Chen Zijing cai Tian Xu Xuanyi Zhang Bo Ni Fangxing Zhang School of Physics and Technology Nantong University Peking University Yangtze Delta Institute of Optoelectronics State Key Lab for Mesoscopic Physics and Frontiers Science Center for Nano-optoelectronics School of PhysicsPeking University School of Electronic Information Engineering Shanghai DianJi University

Optical whispering-gallery-mode microcavities have attracted significant attention for their potential in ultrasensitive ultrasound sensing, despite always relying on expensive tunable lasers in applications. In this study, we integrated an electrothermal tuning function inside the microcavity, enabling fast scanning of modes by applying voltages, which helps provide real-time searching and tracking of the optimal mode. Our device demonstrated a quality factor exceeding 10～6with a broad tuning range over 33 GHz. This structure achieved high sensitivity in ultrasound detection, with a noise equivalent pressure（NEP） of 3.35 mPa/Hz1/2at 20 MHz. We further reported the advantages of the mode thermal broadening effect for ultrasound detection, with successfully obtaining high-contrast photoacoustic images. Our research introduces an innovative approach for cost-effective, high-stability ultrasound detection with microcavity, showing great value for application in photoacoustic imaging.

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Insufficient MIRO1 contributes to declined oocyte quality during reproductive aging

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Science China Life Sciences 2025年

作者： Zhen-Nan Pan Hao-Lin Zhang Kun-Huan Zhang Jia-Qian Ju Jing-cai Liu Shao-Chen Sun College of Animal Science and Technology Nanjing Agricultural University Reproductive Medicine Centre The Affiliated Yantai Yuhuangding Hospital of Qingdao University

Mitochondrial Rho-GTPase 1 (MIRO1) is an outer mitochondrial membrane protein which regulates mitochondrial transport and mitophagy in mitosis. In present study, we reported the crucial roles of MIRO1 in mammalian oocyte meiosis and its potential relationship with aging. We found that MIRO1 expressed in mouse and porcine oocytes, and its expression decreased in aged mice. MIRO1 deficiency caused the failure of meiotic resumption and polar body extrusion in both mouse and porcine oocytes, which could be rescued by exogenous MIRO1supplementation. Mass spectrometry data indicated that MIRO1 associated with several cytoskeleton and cell cycle-related proteins, and MIRO1 regulated motor protein Dynein for microtubule-organizing centers (MTOCs) dynamics at germinal vesicle (GV) stage, which determined meiotic resumption. Furthermore, we found that MIRO1 regulated Aurora A and kinesin family member 11 (KIF11) for meiotic spindle assembly in oocytes. Besides, MIRO1 associated with several mitochondria-related proteins dynamic-related protein 1 (DRP1),Parkin and lysosomal-associated membrane protein 2 (LAMP2) for mitochondrial dynamics and mitophagy during oocyte meiosis. Taken together, our results suggested that MIRO1 played pivotal roles in meiotic resumption, spindle assembly and mitochondrial function in mouse and porcine oocytes, and its insufficiency might contribute to the oocyte maturation defects during aging.

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Hyperbolic Metric and Normal Family

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Acta Mathematica Sinica,English Series 2014年第4期30卷 681-688页

作者： cai yun FANG Xue Cheng PANG School of Mathematical Sciences Fudan University School of Mathematical Sciences Nanjing Normal University Department of Mathematics East China Normal University

In this paper, we study the normality of the family of meromorphic functions from the viewpoint of hyperbolic metric. Then, a new sufficient and necessary condition is obtained, which can determine a given family of m... 详细信息

关键词： Hyperbolic metric normal family holomorphic function meromorphic function

A Preconditioned Recycling GMRES Solver for Stochastic Helmholtz Problems

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Communications in Computational Physics 2009年第7期6卷 342-353页

作者： chao Jin Xiao-Chuan cai Cadence Design Systems 555 River Oaks ParkwaySan JoseCA 95134USA Department of Computer Science University of Colorado at BoulderBoulderCO 80309USA

We present a parallel Schwarz type domain decomposition preconditioned recycling Krylov subspace method for the numerical solution of stochastic indefinite elliptic equations with two random ***-Loeve expansions are used to represent the stochastic variables and the stochastic Galerkin method with double orthogonal polynomials is used to derive a sequence of uncoupled deterministic *** show numerically that the Schwarz preconditioned recycling GMRES method is an effective technique for solving the entire family of linear systems and,in particular,the use of recycled Krylov subspaces is the key element of this successful approach.

关键词： Recycling GMRES domain decomposition additive Schwarz preconditioner stochastic Helmholtz equation

Method of composing two-dimensional scanned spectra observed by the New Vacuum Solar Telescope

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Research in Astronomy and Astrophysics 2018年第4期18卷 59-68页

作者： yun-Fang cai Zhi Xu Yu-chao Chen Jun Xu Zheng-Gang Li Yu Fu Kai-Fan Ji yunnan Observatories Chinese Academy of Sciences Kunming 650011 China University of Chinese Academy of Sciences Beijing 100049 China

In this paper we illustrate the technique used by the New Vacuum Solar Telescope（NVST）to increase the spatial resolution of two-dimensional（2D）solar spectroscopy observations involving two dimensions of space and one of *** an image stabilizer at the NVST,large scale wobble motion is present during the spatial scanning,whose instantaneous amplitude can reach 1.3′′due to the Earth’s atmosphere and the precision of the telescope guiding system,and seriously decreases the spatial resolution of 2D spatial maps composed with scanned *** make the following effort to resolve this problem：the imaging system（e.g.,the Ti O-band）is used to record and detect the displacement vectors of solar image motion during the raster scan,in both the slit and scanning *** spectral data（e.g.,the Hαline）which are originally obtained in time sequence are corrected and re-arranged in space according to those displacement *** scans are carried out in several active regions with different seeing conditions（two rasters are illustrated in this paper）.Given a certain spatial sampling and temporal resolution,the spatial resolution of the composed 2D map could be close to that of the slit-jaw *** resulting quality after correction is quantitatively evaluated with two methods.A physical quantity,such as the line-of-sight velocities in multiple layers of the solar atmosphere,is also inferred from the re-arranged spectrum,demonstrating the advantage of this technique.

关键词： instrumentation spectrographs — Sun sunspots — techniques imaging spectroscopy — techniques image processing