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时间分数阶(2+1)-维扩展Fisher-Kolmogorov方程的精确解
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作者 王美乐 胡彦霞 《内蒙古大学学报(自然科学版)》 CAS 2024年第3期232-243,共12页
利用Lie方法对一类时间分数阶(2+1)-维扩展Fisher-Kolmogorov方程进行对称分析,并求得该方程的不变解,借助不变解对方程进行降维处理。对引入分数阶复变换得到的常微分方程运用辅助函数法,从而得到这类时间分数阶方程在参数满足各种不... 利用Lie方法对一类时间分数阶(2+1)-维扩展Fisher-Kolmogorov方程进行对称分析,并求得该方程的不变解,借助不变解对方程进行降维处理。对引入分数阶复变换得到的常微分方程运用辅助函数法,从而得到这类时间分数阶方程在参数满足各种不同情况下的精确解,包括三角函数解和孤波解等。最后绘出两类典型精确解的行波图。 展开更多
关键词 (2+1)-维扩展Fisher-Kolmogorov方程 lie方法 辅助函数法 精确解
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Lie symmetry analysis and invariant solutions for the(3+1)-dimensional Virasoro integrable model
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作者 胡恒春 李雅琦 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第4期249-254,共6页
Lie symmetry analysis is applied to a(3+1)-dimensional Virasoro integrable model and the corresponding similarity reduction equations are obtained with the different infinitesimal generators.Invariant solutions with a... Lie symmetry analysis is applied to a(3+1)-dimensional Virasoro integrable model and the corresponding similarity reduction equations are obtained with the different infinitesimal generators.Invariant solutions with arbitrary functions for the(3+1)-dimensional Virasoro integrable model,including the interaction solution between a kink and a soliton,the lump-type solution and periodic solutions,have been studied analytically and graphically. 展开更多
关键词 (3+1)-dimensional Virasoro integrable model lie symmetry invariant solutions
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Filiform李超代数L_(1,2)上的转置泊松超代数结构
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作者 张佳怡 远继霞 《黑龙江大学自然科学学报》 CAS 2024年第2期142-149,共8页
本文研究了Filiform李超代数L_(1,2)上的转置泊松超代数结构。刻画了Filiform李超代数L_(1,2)的1/2-超导子;利用L_(1,2)的1/2-超导子证明了L_(1,2)上存在非平凡的转置泊松超代数结构。
关键词 Filiform李超代数 转置泊松超代数 1/2-超导子 泊松超代数
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Effects of Berberine on TXB 2 and 6 Keto PGF 1α Plasma Levels in Rabbits with Uncomplete Cerebral Ischemia
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作者 吴俊芳 刘天培 《Journal of Chinese Pharmaceutical Sciences》 CAS 1998年第1期33-37,共5页
Effects of berberine (Ber) on platelet aggregation and TXB2 and 6 keto PGF1a plasma levels were studied in rabbits with uncomplete cerebral ischemia. Ber inhibited uncomplete cerebral ischemic rabbit platelet aggreg... Effects of berberine (Ber) on platelet aggregation and TXB2 and 6 keto PGF1a plasma levels were studied in rabbits with uncomplete cerebral ischemia. Ber inhibited uncomplete cerebral ischemic rabbit platelet aggregation triggered by collagen, ADP, and arachidonic acid (AA) with the IC 50 of 0.15, 0.46, and 0.51 mg·ml 1 , respectively. In rabbits, Ber 25, or 50 mg·kg 1 iv 30 min after uncomplete cerebral ischemia, restrained the collagen ADP and AA induced platelet aggregation determined 90 min later. With radioimmunoassay, we measured the thromboxane B2 (TXB 2) and 6 ketoprostaglandin F 1α (6 keto PGF 1α ) contents in rabbit plasma. The results indicated that the TXB 2 level in rabbit 120 min after uncomplete cerebral ischemia (921±539 pg·ml 1 ) was higher than that (230±71 pg·ml 1 ) in normal rabbits ( P < 0.01), but 6 keto PGF 1α level after ischemia (73±23pg·ml 1 ) was lower than that (262±988pg·ml 1 ) in normal rabbit. Ber (5, 25 or 50 mg·kg 1 ) reduced obviously the plasma TXB 2 level in rabbit with uncomplete cerebral ischemia (504±196, 386±174, or 272±183 vs 921±539 pg·ml 1 , respectively, P < 0.01). We conclude that the decrease of TXB 2 content is one of the possible mechanisms of Ber anti cerebral ischemic effect. 展开更多
关键词 BERBERINE Cerebral ischemia Platelet aggregation Thromboxane B 2 6 ke toprostaglandin F 1 alpha
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气动P-PI调节器及其与Ke^(-Ls)/(TS+1)对象所组成的系统分析
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作者 王士杰 《仪器仪表学报》 EI CAS 1982年第4期382-390,共9页
本文分析了图1所示具有抗积分饱和性能的气动P-PI调节器[1][2]的静态和动态特性及其与Ke^(-LS)/(TS+1)对象所组成的系统的起动过程,得出了计算超调量的近似公式,讨论了影响起调量的各项因素。
关键词 Ls TS+1 ke 超调量 比例积分 积分时间 比例带 起动过程 动态特性 饱和性
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半单Lie群上H^1函数的广义Abel平均
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作者 汪继文 吴锋 《安徽大学学报(自然科学版)》 CAS 1995年第S1期7-9,共3页
设G为半单连通实秩为1的非紧Lie群,本文证明了广义Abel平均极大算子是从H~1_∞。
关键词 非紧半单lie H1函数 Abel平均有界算子
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(2+1)维广义Burgers方程的Lie点对称,相似约化和精确解 被引量:4
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作者 周子民 谭喜玉 张隽 《纯粹数学与应用数学》 CSCD 2011年第1期138-142,共5页
讨论了(2+1)维广义Burgers方程.通过Lie群方法求出了该方程的李点对称,并利用李点对称将方程进行相似约化,求出了(2+1)维广义Burgers方程的几种精确解.该方法可以用于研究更高阶的偏微分方程.
关键词 (2+1)维广义Burgers方程 lie点对称 相似约化 精确解
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Acupuncture inhibits Notch1 and Hes1 protein expression in the basal ganglia of rats with cerebral hemorrhage 被引量:25
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作者 Wei Zou Qiu-xin Chen +4 位作者 Xiao-wei Sun Qing-bin Chi Hong-yu Kuang Xue-ping Yu Xiao-hong Dai 《Neural Regeneration Research》 SCIE CAS CSCD 2015年第3期457-462,共6页
Notch pathway activation maintains neural stem cells in a proliferating state and increases nerve repair capacity. To date, studies have rarely focused on changes or damage to signal transduc- tion pathways during cer... Notch pathway activation maintains neural stem cells in a proliferating state and increases nerve repair capacity. To date, studies have rarely focused on changes or damage to signal transduc- tion pathways during cerebral hemorrhage. Here, we examined the effect of acupuncture in a rat model of cerebral hemorrhage. We examined four groups: in the control group, rats received no treatment. In the model group, cerebral hemorrhage models were established by infusing non-hep-arinized blood into the Brain. In the acupuncture group, modeled rats had Baihui (DU20) and Qubin (GBT) acupoints treated once a day for 30 minutes. In the DAPT group, modeled rats had 0.15 μg/mL DAPT solution (10 mL) infused into the brain. Immunohistochemistry and western blot results showed that acupuncture effectively inhibits Notch 1 and Hesl protein expression in rat basal ganglia. These inhibitory effects were identical to DAPT, a Notch signaling pathway inhibitor. Our results suggest that acupuncture has a neuroprotective effect on cerebral hemorrhage by in- hibiting Notch-Hes signaling pathway transduction in rat basal ganglia after cerebral hemorrhage. 展开更多
关键词 nerve regeneration ACUPUNCTURE cerebral hemorrhage immunohistochemistry westernblot assay notch 1 lies l RATS DAPT neural stem cells NSFC grant neural regeneration
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Symmetry Groups and New Exact Solutions to (2+1)-Dimensional Variable Coefficient Canonical Generalized KP Equation 被引量:7
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作者 ZHANG Li-Hua LIU Xi-Qiang BAI Cheng-Lin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第3X期405-410,共6页
In this paper, the modified CK's direct method to find symmetry groups of nonlinear partial differential equation is extended to (2+1)-dimensional variable coeffficient canonical generalized KP (VCCGKP) equation... In this paper, the modified CK's direct method to find symmetry groups of nonlinear partial differential equation is extended to (2+1)-dimensional variable coeffficient canonical generalized KP (VCCGKP) equation. As a result, symmetry groups, Lie point symmetry group and Lie symmetry for the VCCGKP equation are obtained. In fact, the Lie point symmetry group coincides with that obtained by the standard Lie group approach. Applying the given Lie symmetry, we obtain five types of similarity reductions and a lot of new exact solutions, including hyperbolic function solutions, triangular periodic solutions, Jacobi elliptic function solutions and rational solutions, for the VCCGKP equation. 展开更多
关键词 (2+1)-dimensional variable coefficient canonical generalized KP (VCCGKP) equation modified CK's'direct method symmetry groups lie symmetry similarity reductions new exact solutions
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Lie Symmetry Groups of(2+1)-Dimensional BKP Equation and Its New Solutions 被引量:1
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作者 MA Hong-Cai LOU Sen-Yue DENG Ai-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第9期685-688,共4页
A modified direct method is developed to find finite symmetry groups of nonlinear mathematical physicssystems.Applying the modified direct method to the well-known (2+1)-dimensional BKP equation we get its symmetry.Fu... A modified direct method is developed to find finite symmetry groups of nonlinear mathematical physicssystems.Applying the modified direct method to the well-known (2+1)-dimensional BKP equation we get its symmetry.Furthermore,the exact solutions of (2+1)-dimensional BKP equation are obtained through symmetry analysis. 展开更多
关键词 (2+1)-dimensional BKP equation lie symmetry group CK's direct method exact solution
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CONVERGENCE OF A CLASS OF MEANS OF H^p FUNCTIONS(0 被引量:1
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作者 Wang Jiwen Anhui University,China 《Analysis in Theory and Applications》 1993年第4期37-45,共9页
In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.... In this paper we study the convergence nf a class of means on H^p(G)(0<p<1),the means take the Bochner-Riesz means in[1],the generalized Bochner-Riesz means in[2],and the operators T^(Φ_r)in[3]as special cases.We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means. 展开更多
关键词 exp p<1)ON COMPACT lie GROUPS CONVERGENCE OF A CLASS OF MEANS OF H~p FUNCTIONS
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Operator Methods and SU(1,1) Symmetry in the Theory of Jacobi and of Ultraspherical Polynomials
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作者 Alfred Wünsche 《Advances in Pure Mathematics》 2017年第2期213-261,共49页
Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting proper... Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of functions with interesting properties. It leads to an alternative definition of the Ultraspherical polynomials by a fixed integral operator in application to powers of the variable u in an analogous way as it is possible for Hermite polynomials. From this follows a generating function which is apparently known only for the Legendre and Chebyshev polynomials as their special case. Furthermore, we show that the Ultraspherical polynomials form a realization of the SU(1,1) Lie algebra with lowering and raising operators which we explicitly determine. By reordering of multiplication and differentiation operators we derive new operator identities for the whole set of Jacobi polynomials which may be applied to arbitrary functions and provide then function identities. In this way we derive a new “convolution identity” for Jacobi polynomials and compare it with a known convolution identity of different structure for Gegenbauer polynomials. In short form we establish the connection of Jacobi polynomials and their related orthonormalized functions to the eigensolution of the Schr&ouml;dinger equation to P&ouml;schl-Teller potentials. 展开更多
关键词 Orthogonal Polynomials lie Algebra SU(1 1) and lie Group SU(1 1) Lowering and Raising Operators Jacobi Polynomials Ultraspherical Polynomials Gegenbauer Polynomials Chebyshev Polynomials Legendre Polynomials Stirling Numbers Hypergeometric Function Operator Identities Vandermond’s Convolution Identity Poschl-Teller Potentials
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Evie's Ethical Choices in the World of Noir Ethical Literary Reading of Judy Blundell' s What I Saw and How I Lied
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作者 YANG Chun 《Sino-US English Teaching》 2015年第6期430-434,共5页
In the novel What I Saw and How I Lied (2008), Judy Blundell presents readers a world of noir where so many lies are around the innocent protagonist, 15-year-old girl Evie. It is a challenge for Evie to probe into t... In the novel What I Saw and How I Lied (2008), Judy Blundell presents readers a world of noir where so many lies are around the innocent protagonist, 15-year-old girl Evie. It is a challenge for Evie to probe into the heart of the deceptions and make ethical choices between good and evil. After experiencing the path from error to truth, from confusion to clarity, and unconsciousness to consciousness, Evie comes to realize the corruption and evils of the society and in an epiphany, obtains a self-knowledge which leads to her initiation. Through analyzing the ethical predicament and ethical choices of the protagonist Evie as well as the negative living environment around her, the present paper aims to interrogate the moral issues of truth, lie, justice, greed, fidelity, and betrayal so as to give readers a better understanding of the theme of initiation in the novel. 展开更多
关键词 What I Saw and How 1 lied ethical choices the world of noir INITIATION
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Sony KE-MX42M1+Sony DVP-NS777P
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《数字生活》 2004年第12期64-64,共1页
该机发挥了贵翔引擎的优势,贵翔引擎从影像处理电路的输入开始到输出,实现对包括高清晰度信号在内和各种模拟或数码影像信号进行全程数码处理,从而消除由于多次进行模数/数模转换而引起的噪波和信号损失。
关键词 DVP 数码影像 等离子电视 Sony ke-MX42M1+Sony DVP-NS777P 高清晰度 MX ke NS
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On the Construction and Classification of the Common Invariant Solutions for Some P(1,4) -Invariant Partial Differential Equations
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作者 Vasyl M. Fedorchuk Volodymyr I. Fedorchuk 《Applied Mathematics》 2023年第11期728-747,共20页
We consider the following (1 + 3)-dimensional P(1,4)-invariant partial differential equations (PDEs): the Eikonal equation, the Euler-Lagrange-Born-Infeld equation, the homogeneous Monge-Ampère equation, the inho... We consider the following (1 + 3)-dimensional P(1,4)-invariant partial differential equations (PDEs): the Eikonal equation, the Euler-Lagrange-Born-Infeld equation, the homogeneous Monge-Ampère equation, the inhomogeneous Monge-Ampère equation. The purpose of this paper is to construct and classify the common invariant solutions for those equations. For this aim, we have used the results concerning construction and classification of invariant solutions for the (1 + 3)-dimensional P(1,4)-invariant Eikonal equation, since this equation is the simplest among the equations under investigation. The direct checked allowed us to conclude that the majority of invariant solutions of the (1 + 3)-dimensional Eikonal equation, obtained on the base of low-dimensional (dimL ≤ 3) nonconjugate subalgebras of the Lie algebra of the Poincaré group P(1,4), satisfy all the equations under investigation. In this paper, we present obtained common invariant solutions of the equations under study as well as the classification of those invariant solutions. 展开更多
关键词 Symmetry Reduction Classification of Invariant Solutions Common Invariant Solutions The Eikonal Equations The Euler-Lagrange-Born-Infeld Equations The Monge-Ampère Equations Classification of lie Algebras nonconjugate Subalgebras Poincaré Group P(1 4)
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(2+1)维AKNS方程的对称约化和新的非行波精确解 被引量:5
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作者 康晓蓉 鲜大权 《量子电子学报》 CAS CSCD 北大核心 2013年第6期678-683,共6页
利用Lie群方法将(2+1)维AKNS方程约化成(1+1)维非线性偏微分方程。对约化方程应用扩展同宿测试法获得了AKNS方程的一些新的非行波精确解,这些结果丰富了该方程的可积性内涵及(2+1)维非线性波传播的动力学行为。
关键词 非线性方程 (2+1)维AKNS方程 lie群方法 扩展同宿测试法 非行波精确解
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中药咳喘落对实验性哮喘豚鼠ECP和sICAM-1的影响 被引量:18
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作者 王宏长 李培成 +2 位作者 吴银根 于素霞 倪伟 《广东医学》 CAS CSCD 2000年第3期188-190,共3页
目的 探讨中药咳喘落对哮喘豚鼠可溶性细胞间粘附分子 -1(sICAM -1)、嗜酸性粒细胞及其脱颗粒产物嗜酸性粒细胞阳离子蛋白 (ECP)等的影响 ,阐明咳喘落治疗哮喘抗气道变应性炎症的作用机制。方法 采用荧光酶标记法、双抗体夹心ELISA法... 目的 探讨中药咳喘落对哮喘豚鼠可溶性细胞间粘附分子 -1(sICAM -1)、嗜酸性粒细胞及其脱颗粒产物嗜酸性粒细胞阳离子蛋白 (ECP)等的影响 ,阐明咳喘落治疗哮喘抗气道变应性炎症的作用机制。方法 采用荧光酶标记法、双抗体夹心ELISA法和密度梯度细胞分离法分别测定了哮喘豚鼠血浆中ECP ,sICAM -1的含量和肺泡灌洗液中嗜酸性粒细胞分类计数。结果 哮喘豚鼠血浆中ECP ,sICAM -1的含量以及肺泡灌洗液中细胞总数和低密度嗜酸性粒细胞数均显著高于正常组 (P <0 .0 1) ,经咳喘落和地塞米松治疗后显著下降 (P <0 .0 1) ,接近正常水平 (P >0 .0 5 )。结论 咳喘落通过调节白细胞介素 -5的水平 ,抑制嗜酸性粒细胞在气道内募集及其毒性颗粒蛋白的释放 ,从而发挥它抗气道变应性炎症的作用。 展开更多
关键词 哮喘 中医药疗法 咳喘落 ECP SICAM-1
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糖尿病前期GLP-1变化与“治未病”关系探讨 被引量:4
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作者 陈清光 陆灏 +5 位作者 许家佗 顾逸梦 徐隽斐 罗洁 赵洪彪 周里钢 《上海中医药杂志》 2012年第11期4-6,共3页
糖尿病高危期胰高血糖素样肽-1(GLP-1)的变化对糖脂代谢紊乱和能量平衡失调有重要影响,GLP-1以长期与短期控制能量的整体模式来调节机体物质与能量平衡,并在糖尿病早期即发生变化,为中医"治未病"及防治"消渴病"提... 糖尿病高危期胰高血糖素样肽-1(GLP-1)的变化对糖脂代谢紊乱和能量平衡失调有重要影响,GLP-1以长期与短期控制能量的整体模式来调节机体物质与能量平衡,并在糖尿病早期即发生变化,为中医"治未病"及防治"消渴病"提供理论依据。 展开更多
关键词 胰高血糖素样肽-1 糖尿病前期 消渴 治未病
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(2+1)维Boiti-Leon-Manna-Pempinelli方程的对称、精确解及守恒律 被引量:7
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作者 刘娜 刘希强 《量子电子学报》 CAS CSCD 北大核心 2008年第5期546-552,共7页
利用李群分析方法,得到了(2+1)维Boiti-Leon-Manna-Pempinelli(BLMP)方程的对称、相似约化和新的精确解,包括有理函数解、双曲函数解、雅克比椭圆函数解和三角周期解。同时找到了此方程的无穷多守恒律。
关键词 非线性方程 (2+1).维BLMP方程 李群分析方法 对称 精确解 守恒律
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伤科1号方配合磁片贴敷治疗骨伤病痛症的临床与实验研究 被引量:2
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作者 汪崇淼 吴耀持 《中医杂志》 CSCD 北大核心 2001年第12期735-736,共2页
目的:观察伤科1号方配合磁片贴敷治疗骨伤病痛症疗效。方法:将自行研制的伤科1号方结合硬磁片,用于253例各类骨伤病痛症患者的贴敷治疗(治疗组),并与253例手法治疗组的患者进行疗效比较(对照组),同时开展相关镇痛效应方面的实验研究。... 目的:观察伤科1号方配合磁片贴敷治疗骨伤病痛症疗效。方法:将自行研制的伤科1号方结合硬磁片,用于253例各类骨伤病痛症患者的贴敷治疗(治疗组),并与253例手法治疗组的患者进行疗效比较(对照组),同时开展相关镇痛效应方面的实验研究。即将昆明种小白鼠随机分为5组,分别为伤科1号合磁Ⅰ组、Ⅱ组、Ⅲ组、不合磁伤科1号方组及单纯磁片对照组,平行对照设计,并观察结果。结果:两组临床疗效比较,伤科1号合磁片贴敷组共计253例,其中痊愈58例,显效97例,有效71例,总有效率为89.33%。手法对照治疗组253例,其中痊愈42例,显效77例,有效95例,总有效率为84.58%。经Ridit分析,两组疗效比较有明显差异(P<0.05)。实验研究结果显示,伤科1号合磁Ⅱ组和伤科1号合磁Ⅲ组具有显著镇痛效果,并呈一定的量效关系。结论:伤科1号合磁Ⅰ组、不合磁伤科1号方组及单纯磁片对照组的镇痛药效低于伤科1号合磁Ⅱ组和伤科1号合磁Ⅲ组,表明骨伤病痛症复合效应还在于药与磁的有机结合。 展开更多
关键词 中医骨伤科疾病 中药疗法 骨伤病痛症 伤科1号方 磁片 贴敷治疗法 疗效
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