一类整函数的亏值

在函数值分布论中,估计一些整函数和亚纯函数的亏值数目是一个重要问题。本文考虑有穹下级为μ的整函数f(z),若它适合极值性质∑∑δ(a,f^(j))=1,则可给出函数自身及其所有各级导数和各级原函数的有穹、非零亏值数目总和的估计sum from i=-∞ to +∞ p_j≤2μ。     

亚纯函数及函数组合的重值

<正> 在亚纯函数值分布理论中,值点重级较高者往往影响十分微小.基于这种思想,伐利隆(G.Valiron)尝引入拟例外值的概念,并获得关于整函数的一些显著结果.其后,奈望利纳(R.Nevanlinna)利用其第二基本定理,获得了关于亚纯函数类似的结果.熊庆来对亚纯函数的重值也作了研究,并注意到唯一性定理中重值所起的作用.     

Finite-time Mittag—Leffler synchronization of fractional-order complex-valued memristive neural networks with time delay

Without dividing the complex-valued systems into two real-valued ones, a class of fractional-order complex-valued memristive neural networks (FCVMNNs) with time delay is investigated. Firstly, based on the complex-valued sign function, a novel complex-valued feedback controller is devised to research such systems. Under the framework of Filippov solution, differential inclusion theory and Lyapunov stability theorem, the finite-time Mittag—Leffler synchronization (FTMLS) of FCVMNNs with time delay can be realized. Meanwhile, the upper bound of the synchronization settling time (SST) is less conservative than previous results. In addition, by adjusting controller parameters, the global asymptotic synchronization of FCVMNNs with time delay can also be realized, which improves and enrich some existing results. Lastly, some simulation examples are designed to verify the validity of conclusions.     

切向聚集与边界点的属性

<正> 对于单位圆内定义的函数,经典的聚值理论只考虑非切向地趋于边界时的性状.这时有一系列重要的结果,诸如 Fatou 定理,Plessner 定理,Meier 定理等.1966年,F.Bagemihl 首先考虑单位圆内亚纯函数沿与圆周相切的圆弧趋于边界时的状态,从而为聚集理论的研究提出了新的课题,其后有他以及 S.Dragosh,T.A.Vessey,N.Yana-gihara,H.Yoshida 等的工作.最近 T.A.Vessey,H,Yoshida 又开始考虑 q 阶相切的情况,获得一些结果.本文在第2,3两节里研究了单位圆内的亚纯函数在沿与圆周 q阶(q≥0)相切的曲线弧趋于边界时的状态,得到比较普遍的结果.     

拟亚纯映射的正规族

用几何方法研究更广泛的拟亚纯映射. 讨论了拟亚纯映射族正规的充分必要条件. 证明了两个关于覆盖曲面的不等式,利用它们证明了几个关于拟亚纯映射的正规定理. 显然,这些正规定理对亚纯函数族也成立.     

Prediction and experimental measurement of the electromagnetic thrust generated by a microwave thruster system

A microwave thruster system that can convert microwave power directly to thrust without a gas propellant is developed. In the system, a cylindrical tapered resonance cavity and a magnetron microwave source are used respectively as the thruster cavity and the energy source to generate the electromagnetic wave. The wave is radiated into and then reflected from the cavity to form a pure standing wave with non-uniform electromagnetic pressure distribution. Consequently, a net electromagnetic thrust exerted on the axis of the thruster cavity appears, which is demonstrated through theoretical calculation based on the electromagnetic theory. The net electromagnetic thrust is also experimentally measured in the range from 70 mN to 720 mN when the microwave output power is from 80 W to 2500 W.     

铝敏化依诺沙星荧光显微成像体系性质及其应用研究

应用毛细流自组装成环荧光显微成像技术,建立了铝敏化依诺沙星的测定方法,并实测了不同样品中依诺沙星的浓度.在NH3-NH4Cl缓冲介质(pH 9.7)和聚乙烯醇(PVA-124) 存在下,Al3+-ENX复合物液滴在疏水性玻璃表面上受热挥发形成直径约为1.63 mm,环线宽约为50 μm的自组装环.当点样体积为0.20 μL, 其线性范围1.00×10-13～5.00×10-13mol/ring(5.00×10-7～2.50×10-6mol/L),检出限为7.65×10-15 mol/ring(3.83×10-8 mol/L).本方法用于葡萄糖酸依诺沙星注射液中依诺沙星含量和牛奶中依诺沙星残留量的检测,回收率分别为96.9%～107.0%和94.2%～102.5%,相对标准偏差(RSD) 分别小于4 1%和2 4%.实测了健康志愿者服用依诺沙星胶囊后尿液中依诺沙星的平均浓度及兔子灌喂依诺沙星后血清中药物平均浓度,均得到了较满意的结果.     

预防出生缺陷,提高民族地区出生人口素质——关于加强兴和县乡镇待孕和不同怀孕周期育龄妇女人体必需元素及相关因素分析的调查研究

阐述了预防出生缺陷的重要性和紧迫性,从法律干预、工程项目干预、技术干预和社区文化干预等方面探讨了出生缺陷干预的途径和目标,并详细论述了加强民族地区乡镇待孕和不同怀孕周期育龄妇女人体必需元素调查及相关因素分析的意义、内容和目标。     

DRASIN''''S PROBLEMS AND MUES'''' CONJECTURE

If f(z) is a transcendental meromorphic function, then we have(i) sum from a∈C to (δ(a,f)) + sum from b∈C to (δ(b,f~((k))))≤3 (k = 1,2,...);(ii) sum from b∈C to ( δ(b,f~((k))))≤1, k≥K,where K is a positive number depending only on f(z). The necessary and sufficient conditionto make the equality of (i) hold has also been obtained.     

亚纯函数及其导数的辐角分布

<正> 对于开平面上的亚纯函数f(z),若其级为有穷正数,则存在一条Borel方向B,使得在含B的任意的小角域Ω内,f(z)不可能有两个以上的Borel例外值.在文[4]中,我们证明了方向B还具有下述性质:在Ω内不可能f(z)有一个有穷Borel例外值,而其某级导数f~(k)(z)(k≥1)有一个有穷非零的Borel例外值.本文在考虑重值后给予精密的结果.