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Weak Cartan-type Second Main Theorem for Holomorphic Curves

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Acta Mathematica Sinica,English Series 2008年第3期24卷 455-462页

作者： Qi Ming YAN Zhi hua chen Department of Mathematics Tongji University Shanghai 200092 P. R. China

In this paper, a weak Cartan-type second theorem for holomorphic curve f ： C→P^n（C） intersecting hypersurfaces Dj, 1≤j≤q, in P^n（C） in general position with degree dj is given as follows： For every ε〉0, there exists a positive integer M such that ｜｜（q - （n ＋ 1） ε）Tf（r）≤∑j^q=1 1/dj Nf^M（r,Dj）＋o（Tf（r））, where ＂｜｜＂ means the estimate holds for all large r outside a set of finite Lebesgue measure.

关键词： holomorphic curve Nevanlinna Theory second main theorem hypersurface

Positive Solution of Singularly Perturbed Dirichlet Problem with Singularities

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Acta Mathematicae Applicatae Sinica 2014年第3期30卷 611-616页

作者： Li-hua chen Jia-qi MO Department of Mathematics and Computer Science Fuqing Branch of Fujian Normal University Anhui Normal University Faculty of Science Huzhou Teacher College

A class of singularly perturbed boundary value problem with singularities is considered. Introducing the stretched variables, the boundary layer corrective terms near x = 0 and x = 1 are constructed. Under suitable conditions, by using the theory of differential inequalities the existence and asymptotic behavior of solution for boundary value problem are proved, uniformly valid asymptotic expansion of solution with boundary layers are obtained,

关键词： nonlinear singular equation singular perturbation boundary value problem

The Cauchy problem for a class of nonlinear degenerate parabolic-hyperbolic equations

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Science China Mathematics 2019年第5期62卷 839-852页

作者： hua chen Jinpeng Zhan Xin Hu School of Mathematics and Statistics and Computational Science Hubei Key Laboratory Wuhan University

In this article, we prove a general existence theorem for a class of nonlinear degenerate parabolichyperbolic equations. Since the regions of parabolicity and hyperbolicity are coupled in a way that depends on the solution itself, there is almost no hope of decoupling the regions and then taking into account the parabolic and the hyperbolic features separately. The existence of solutions can be obtained by ?nding the limit of solutions for the regularized equation of strictly parabolic type. We use the energy methods and vanishing viscosity methods to prove the local existence and uniqueness of solution.

关键词： parabolic-hyperbolic equations energy methods vanishing viscosity methods

Room temperature self-healing liquid metals:capabilities,applications and challenges

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International Journal of Smart and Nano Materials 2024年第3期15卷 469-501页

作者： chen hua Jianye Gao Jing Liu Key Lab of Cryogenic Science and Technology Technical Institute of Physics and ChemistryChinese Academy of SciencesBeijingChina School of Future Technology University of Chinese Academy of SciencesBeijingChina School of Biomedical Engineering Tsinghua UniversityBeijingChina

Self-healing materials span diverse application fields,including flexible electronics,soft robotics,and energy ***,conventional self-healing materials pose a challenge in achiev-ing the delicate balance between flexibility and electrical ***,they also suffer from prolonged healing times,incomplete healing,and high manufacturing *** metals possess excellent self-healing capabilities owing to their unique combination of fluidic and metallic properties,high surface tension,and reversible solid-liquid phase change at room temperature,offering an intriguing material option for addressing the challenges associated with flexibility and elec-trical *** this review article,we comprehensively examine the domain of self-healing liquid metals from the standpoint of typical mechanisms underlying self-healing pro-cesses,as well as practical strategies employed for achieving such ***,we explore representative applications that showcase the potential of these materials while aiming to provide a valuable reference for advancing and enhancing the field of self-healing *** pro-spect along this direction is made.

关键词： Self-healing Liquid metal Smart materials

On the core of the fractional Fourier transform and its role in composing complex fractional Fourier transformations and Fresnel transformations

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Frontiers of physics 2015年第1期10卷 1-6页

作者： Hong-Yi Fan Jun-hua chen Department of Physics Ningbo University Ningbo 315211 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

By a quantum mechanical analysis of the additive rule Fa [Fβ[f]] = Fα＋β[f], which the fractional Fourier transformation （FrFT） Fα [f] should satisfy, we reveal that the position-momentum mutual- transformation operator is the core element for constructing the integration kernel of FrFT. Based on this observation and the two mutually conjugate entangled-state representations, we then derive a core operator for enabling a complex fractional Fourier transformation （CFrFT）, which also obeys the additive rule. In a similar manner, we also reveal the fractional transformation property for a type of Fresnel operator.

关键词： fractional Fourier transform core operator IWOP technique entangled state of con-tinuum variables Fresnel operator

颅内动脉瘤患者介入性血管内栓塞术后疾病不确定感的影响因素及其风险预测列线图模型构建

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实用心脑肺血管病杂志 2025年第2期33卷 40-45页

作者：唐芮禹玲陈骅李征南京医科大学第一附属医院江苏省人民医院神经内科江苏省南京市210029

目的探讨颅内动脉瘤患者介入性血管内栓塞术(SIAE)后疾病不确定感的影响因素,构建其风险预测列线图模型并进行验证。方法回顾性选取2022年9月—2024年4月于南京医科大学第一附属医院行SIAE的颅内动脉瘤患者242例为研究对象,按照7∶3比... 详细信息

目的探讨颅内动脉瘤患者介入性血管内栓塞术(SIAE)后疾病不确定感的影响因素,构建其风险预测列线图模型并进行验证。方法回顾性选取2022年9月—2024年4月于南京医科大学第一附属医院行SIAE的颅内动脉瘤患者242例为研究对象,按照7∶3比例采用随机数字表法将其分为建模集(n=169)和验证集(n=73)。收集患者一般资料、对疾病了解情况、社会支持度、家庭关怀度、自我感受负担。采用中文版疾病不确定感量表(MUIS)评估患者疾病不确定感水平,中文版MUIS评分22~66分为低水平,≥67分为中高水平。采用多因素Logistic回归分析探讨颅内动脉瘤患者SIAE后疾病不确定感的影响因素;采用R软件中rms程序包建立颅内动脉瘤患者SIAE后中高水平疾病不确定感的风险预测列线图模型;进行Hosmer-Lemeshow拟合优度检验,绘制ROC曲线。结果建模集169例患者中,93例疾病不确定感为低水平(低水平组),76例为中高水平(中高水平组)。中高水平组有术后并发症、社会支持度低下、家庭关怀度低下、自我感受负担重度者占比高于低水平组(P0.05)。ROC曲线分析结果显示,在建模集和验证集中,该列线图模型预测颅内动脉瘤患者SIAE后中高水平疾病不确定感的AUC分别为0.806〔95%CI(0.738~0.874)〕、0.870〔95%CI(0.787~0.954)〕。结论有术后并发症、社会支持度低下、家庭关怀度低下、自我感受负担重度为颅内动脉瘤患者SIAE后中高水平疾病不确定感的危险因素,基于上述因素构建的列线图模型具有较高的准确性,且对颅内动脉瘤患者SIAE后中高水平疾病不确定感有一定预测价值。

关键词：颅内动脉瘤栓塞,治疗性介入性血管内栓塞术疾病不确定感危险因素列线图

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Design and Synthesis of Chiral Molecular Tweezers Based on Deoxycholic Acid

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Chinese Chemical Letters 2001年第5期12卷 413-416页

作者： Cui hua XUE Qi Ming MU Shu hua chen The Faculty of chemistry Sichuan UniversityChengdu 610064

A series of new chiral molecular tweezers have been designed and synthesized by using deoxycholic acid as spacer and aromatic amines as arms. Instead of using toxic phosgene, the triphosgene was employed in synthesis of the molecular tweezers receptors. These chiral molecular tweezers showed good enantioselectivity for D-amino acid methyl esters.

关键词： Molecular tweezers synthesis deoxycholic acid recognition.

Sequence-Oriented Stochastic Model of RO-TRNGs for Entropy Evaluation

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Chinese Journal of Electronics 2020年第2期29卷 371-377页

作者： ZHU Shaofeng XI Wei FAN Limin chen hua chen Meihui FENG Dengguo Institute of Software Chinese Academy of Sciences State Key Laboratory of Cryptology University of Chinese Academy of Sciences Electric Power Research Institute China Southern Power Grid

Ring oscillator-based true random number generators(RO-TRNGs) are widely used to generate unpredictable random numbers for cryptographic *** is usually adopted to quantitatively measure the unpredictability of a TRNG. There have been several stochastic models such as the time-oriented and phaseoriented ones built to evaluate the entropy of ElementaryRO-TRNGs with single oscillator. However, these models are not suitable for the TRNGs composed of multiple oscillators(Multiple-RO-TRNGs), which can obtain more randomness and higher throughput. Considering this,we propose a sequence-oriented stochastic model for the entropy evaluation of RO-TRNGs, named the first-order stationary Markov source model. This model is extensible for the Multiple-RO-TRNGs. Based on that, we present a detailed method to determine the entropy of Multiple-ROTRNGs. Our proposed model is verified by ***, our method can also be a guide to design ROTRNGs with both high entropy and high throughput.

关键词： True random number generator(TRNG) Ring oscillator Entropy Stochastic model Randomness

Lipidomic investigation of the protective effects of Polygonum perfoliatum against chemical liver injury in mice

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Journal of Integrative Medicine 2023年第3期21卷 289-301页

作者： Lei Peng hua-guo chen Xin Zhou Key Laboratory for Information System of Mountainous Areas and Protection of Ecological Environment Guizhou Normal UniversityGuiyang 550001Guizhou ProvinceChina Guizhou Engineering Laboratory for Quality Control&Evaluation Technology of Medicine Guizhou Normal UniversityGuiyang 550001Guizhou ProvinceChina Research Center for Quality Control of Natural Medicine Guizhou Normal UniversityGuiyang 550001Guizhou ProvinceChina

Objective:Recent investigations have demonstrated that Polygonum perfoliatum *** protect against chemical liver injury,but the mechanism behind its efficacy is still ***,we studied the pharmacological mechanism at work in *** protection against chemical liver ***:To evaluate the activity of *** against chemical liver injury,levels of alanine transaminase,lactic dehydrogenase,aspartate transaminase,superoxide dismutase,glutathione peroxidase and malondialdehyde were measured,alongside histological assessments of the liver,heart and kidney tissue.A nontargeted lipidomics strategy based on ultra-performance liquid chromatography quadrupoleorbitrap high-resolution mass spectrometry method was used to obtain the lipid profiles of mice with chemical liver injury and following treatment with ***;these profiles were used to understand the possible mechanisms behind ***'s protective ***:Lipidomic studies indicated that *** protected against chemical liver injury,and the results were consistent between histological and physiological *** comparing the profiles of liver lipids in model and control mice,we found that the levels of 89 lipids were significantly *** animals receiving *** treatment,the levels of 8 lipids were significantly improved,relative to the model *** results showed that *** extract could effectively reverse the chemical liver injury and significantly improve the abnormal liver lipid metabolism of mice with chemical liver injury,especially glycerophospholipid ***:Regulation of enzyme activity related to the glycerophospholipid metabolism pathway may be involved in the mechanism of ***'s protection against liver injury.

关键词： Lipidomics Polygonum perfoliatum L. Liver injury Mice Herbal medicine