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Some Results on Difference Riccati Equations

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Acta Mathematica Sinica,English Series 2011年第6期27卷 1091-1100页

作者： Zong Xuan CHEN kwang ho shon School of Mathematical Sciences South China Normal University Guangzhou 510631 P. R. China Department of Mathematics College of Natural Sciences Pusan National University Pusan 609-735 Korea

Some properties of solutions for the difference Riccati equations are obtained. The existence and forms of rational solutions, and the Borel exceptional value, zeros, poles and fixed points of transcendental solutions... 详细信息

关键词： Difference Riccati equation rational solution transcendental solution Borel exceptionalvalue

On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients

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Acta Mathematica Sinica,English Series 2005年第4期21卷 753-764页

作者： Zong Xuan CHEN kwang ho shon Department of Mathematics South China Normal University Guangzhou 510631 P. R. China Department of Mathematics College of Natural Sciences Pusan National University Pusan 609-735 Korea

In this paper, we investigate the growth and fixed points of solutions and their 1st, 2nd derivatives, differential polynomial of second order linear differential equations with meromorphic coefficients, and obtain th... 详细信息

关键词： Differential equation Meromorphic function Order of growth Fixed point

Numbers of Subnormal Solutions for Higher Order Periodic Differential Equations

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Acta Mathematica Sinica,English Series 2011年第9期27卷 1753-1768页

In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and estimate the growth of subnormal solutions and all other solutions. We also give a representati... 详细信息

关键词： Periodic differential equation subnormal solution hyper-order

ON EXISTENCE OF SOLUTIONS OF DIFFERENCE RICCATI EQUATION

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Acta Mathematica Scientia 2019年第1期39卷 139-147页

作者：陈宗煊 kwang ho shon School of Mathematical Sciences South China Normal University Department of Mathematics College of Natural Sciences Pusan National University

Consider the difference Riccati equation f(z+1) =(A(z)f(z)+B(z))/(C(z)f(z)+D(z)),where A,B, C,D are meromorphic functions, we give its solution family with one-parameter H(f(z))={f_0(z),f(z)=((f_1(z)-f_0(z))(f_2(z)-f_0(z)))/(Q(z)(f_2(z)-f_1(z))+(f_2(z)-f_0(z)))}, where Q(z) is any constant in C or any periodic meromorphic function with period 1, and f_0(z),f_1(z),f_2(z) are its three distinct meromorphic solutions.

关键词： difference Riccati equation solution family order of growth

A novel method for determining the resistivity of compressed superconducting materials

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Matter and Radiation at Extremes 2024年第4期9卷 1-3页

作者： Liling Sun Qi Wu Shu Cai Yang Ding ho-kwang Mao Center for High Pressure Science and Technology Advanced Research Beijing 100094China Institute of Physics Chinese Academy of SciencesBeijing 100190China

The measurement of resistivity in a compressed material within a diamond anvil cell presents significant *** high-pressure exper-imental setup makes it difficult to directly measure the size changes induced by pressure in the three crystallographic directions of the *** this study,we introduce a novel and effective method that addresses these technical *** method is anticipated to offer a valuable foundation for high-pressure investigations on quantum materials,particularly those with anisotropic layered structures.

关键词： resistivity method foundation

High Na-ion conductivity andmechanical integrity of anion-exchanged polymeric hydrogel electrolytes for flexible sodium ion hybrid energy storage

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SusMat 2024年第1期4卷 140-153页

作者： JungWoo hong Harpalsinh H.Rana Jeong Hee Park Jun Su Kim Sang Joon Lee Gun Jang Tae hoon Kang Kang ho Shin Sang Ha Baek Wooseok Yang kwang ho Kim Ju-Hyuk Lee ho Seok Park School of Chemical Engineering Sungkyunkwan UniversitySuwonRepublic of Korea Clean Energy Research Center Korea Institute of Science and Technology(KIST)SeoulRepublic of Korea KIST-SKKU Carbon-Neutral Research Center Sungkyunkwan University(SKKU)SuwonRepublic of Korea SKKU Institute of Energy Science and Technology(SIEST) Sungkyunkwan UniversitySuwonRepublic of Korea COSMOS LAB/92 Jomaru-ro 385beon-gilBucheon-siRepublic of Korea SKKU Advanced Institute of Nano Technology(SAINT) Sungkyunkwan UniversitySuwonRepublic of Korea Department of Health Sciences and Technology Samsung Advanced Institute for Health Sciences and Technology(SAIHST)Sungkyunkwan UniversitySuwonRepublic of Korea

The polymeric gel electrolytes are attractive owing to their higher ionic conductivities than those of dry polymer electrolytes and lowered water activity for enlarged potential ***,the ionic conductivity and mechanical strength of the Na-ion conducting polymeric gel electrolytes are limited by below 20 mS cm−1 and 2.2 ***,we demonstrate Na-ion conducting and flexible polymeric hydrogel electrolytes of the chemically coupled poly(diallyldimethylammonium chloride)-dextrin-N,N′-methylene-bisacrylamide film immersed in NaClO_(4) solution(ex-DDA-Dex+NaClO_(4))for flexible sodium-ion hybrid capacitors(f-NIHC).In particular,the anion exchange reaction and synergistic interaction of ex-DDA-Dex with the optimum ClO_(4)−enable to greatly improve the ionic conductivity up to 27.63 mS cm−1 at 25◦C and electrochemical stability window up to 2.6 V,whereas the double networking structure leads to achieve both the mechanical strength(7.48 MPa)and softness of hydrogel ***,the f-NIHCs with the ex-DDA-Dex+NaClO_(4) achieved high specific and high-rate capacities of 192.04 F g^(−1)at 500 mA g^(−1)and 116.06 F g^(−1)at 10000 mA g^(−1),respectively,delivering a large energy density of 120.03Wh kg^(−1)at 906Wkg^(−1)and long cyclability of 70%over 500 cycles as well as demonstrating functional operation under mechanical stresses.

关键词： anion exchange chemistry flexible energy storage hybrid energy storage hydrogel electrolytes renewable electrolytes sodium storage

Unveiling a novel metal-to-metal transition in LuH_(2):Critically challenging superconductivity claims in lutetium hydrides

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Matter and Radiation at Extremes 2024年第3期9卷 65-73页

作者： Dong Wang Ningning Wang Caoshun Zhang Chunsheng Xia Weicheng Guo Xia Yin Kejun Bu Takeshi Nakagawa Jianbo Zhang Federico Gorelli Philip Dalladay-Simpson Thomas Meier Xujie Lü Liling Sun Jinguang Cheng Qiaoshi Zeng Yang Ding ho-kwang Mao Center for High-Pressure Science and Technology Advanced Research Beijing 100094China Beijing National Laboratory for Condensed Matter Physics and Institute of Physics Chinese Academy of SciencesBeijing 100190China Shanghai Key Laboratory of Material Frontiers Research in Extreme Environments(MFree) Shanghai Advanced Research in Physical Sciences(SHARPS)Shanghai 201203China

Following the recent report by Dasenbrock-Gammon et al.[Nature 615,244–250(2023)]of near-ambient superconductivity in nitrogendoped lutetium trihydride(LuH_(3-δ)N_(ε)),significant debate has emerged surrounding the composition and interpretation of the observed sharp resistance ***,we meticulously revisit these claims through comprehensive characterization and *** definitively identify the reported material as lutetium dihydride(LuH_(2)),resolving the ambiguity surrounding its *** similar conditions(270–295 K and 1–2 GPa),we replicate the reported sharp decrease in electrical resistance with a 30%success rate,aligning with the observations by Dasenbrock-Gammon et ***,our extensive investigations reveal this phenomenon to be a novel pressure-induced metal-to-metal transition intrinsic to LuH_(2),distinct from ***,nitrogen doping exerts minimal impact on this *** work not only elucidates the fundamental properties of LuH_(2)andLuH_(3),but also critically challenges the notion of superconductivity in these lutetium hydride *** findings pave the way for future research on lutetium hydride systems,while emphasizing the crucial importance of rigorous verification in claims of ambient-temperature superconductivity.

关键词： resistance hydride superconductivity

Changes in microorganisms and metabolites during long-term fermentation of commercially manufactured anchovy sauce

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Food Science and Human Wellness 2024年

作者： Daehyeon Kim Seong-Eun Park Eun-Ju Kim Seung-ho Seo kwang-Moon Cho Sun Jae Kwon hong-Seok Son Department of Biotechnology College of Life Sciences and Biotechnology Korea University Sonlab Inc. 3. AccuGene Inc.

This study was performed to investigate the changes in microbial communities and metabolites during the long-term fermentation of commercially manufactured anchovy sauce. Samples of commercial anchovy sauce were collected from large-scale fermentation tanks with fermentation periods of up to 7.87 years. The complex bacterial community was simplified to two genera， Tetragenococcus and Halanaerobium， after approximately 0.55 years of fermentation. Although genera， such as Saccharomyces， Cladosporium， Candida， and Aspergillus， were relatively dominant， no clear pattern was identified in fungal community analysis. The longitudinal metabolite profile demonstrated that approximately half (55.8%) of the metabolites present in anchovy sauce were produced within a year of fermentation due to rapid fermentation. Despite the static microbial community， the contents of several metabolites including amino acids and biogenic amines changed continuously during the long-term fermentation of anchovy sauce. This study provides novel insights into the changes in microbiota and metabolites in fish sauce produced without any starter inoculation.

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无穷维复空间的拟凸Riemann区域(英)

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数学进展 1998年第6期27卷 546-550页

作者： Jinkee Lee kwang ho shon(Dept. of Math., College of Natural Set., Pusan National Univ., Pusan 609-735, R. Korea) Pusan National University 韩国

本文利用多极集的测度研究了凸空间上的Riemann区域的拟凸性。

关键词：多极集复空间测度拟凸黎曼区域凸空间