单调性条件在Fourier级数收敛性中的最终推广:历史、发展、应用和猜想

为了对Fourier级数进行近似计算和有效应用,必须研究其收敛性,这个课题有长久的历史,形成了数学分析中吸引包括许多著名数学家在内的学者研究的一条热烈但困难的主流.其中,在三角级数(Fourier级数)一致收敛性和平均收敛性问题中人们一直关心Fourier系数的单调递减条件最终的推广.这个开始于英国Chaundy-Jollife(1916年)和Young(1913年)的工作最近出现了突破性的进展,产生了许多完善的结果.本文将对这方面的历史、发展给出综述,并重点介绍最近的应用成果,并对以后的工作给出研究思路和线索.     

互补对偶结构的三值ECL锁存器设计

在分析发射极耦合逻辑(ECL)电路的互补对偶特性基础上,指出了差分对的两个开关变量的不独立性及互补对偶特性,并设计了互补对偶结构的ECL三值D型锁存器.这种新型的D型锁存器电路比传统电路具有更简单的电路结构.它的输出是互补的双轨三值输出系统.应用这种新型锁存器设计的D触发器及时序电路将具有更简单的电路结构.     

Tm~(3+)掺杂Ge-Ga-Se玻璃中红外发光特性与多声子弛豫分析

用熔融急冷法制备了系列不同Tm3+掺杂浓度的Ge30Ga5Se65玻璃样品,测试了样品折射率、拉曼光谱、吸收光谱以及800nm激光泵浦下的近红外及中红外波段荧光光谱和荧光寿命。用Judd-Ofelt理论计算了Tm3+在Ge30Ga5Se65玻璃中的强度参数Ωi(i=2,4,6)、自发辐射跃迁概率A、荧光分支比β和辐射寿命τrad等光谱参数。讨论了800nm激光泵浦下掺杂1Wt%Tm3+样品在近红外1.23,1.48和1.8μm处的发光特性及各量子效率,研究了800nm激光泵浦下的样品中红外荧光特性与掺杂浓度之间的关系,计算了常温下该基质玻璃中Tm3+:3H5→3F4跃迁对于3.8μm处的多声子弛豫速率Wmp和Ge30Ga5Se65玻璃基质中多声子弛豫常数W(0)和电子-声子结合常数α值。结果表明Ge30Ga5Se65硒基玻璃较低的声子能量可以大大降低稀土离子能级间跃迁的多声子弛豫概率,从而提高中红外荧光发光效率,因此硒基玻璃作为稀土离子的掺杂基质材料对实现中红外荧光输出是非常有利的。     

On Problems in the Calculus of Variations in Increasingly Elongated Domains

This paper deals with minimization problems in the calculus of variations set in a sequence of domains, the size of which tends to infinity in certain directions and such that the data only depend on the coordinates in the directions that remain constant. The authors study the asymptotic behavior of minimizers in various situations and show that they converge in an appropriate sense toward minimizers of a related energy functional in the constant directions.     

CONSERVATION OF ENDANGERED ENDEMIC SEABIRDS WITHIN A MULTI‐PREDATOR CONTEXT: THE BARAU'S PETREL IN RÉUNION ISLAND

Abstract Seabirds breeding on islands are vulnerable to introduced predators, such as rats and cats, and the removal of such predators is generally viewed as a priority for seabird conservation and restoration. However, multiple invasive mammal species interacting may generate unexpected outcomes following the removal (eradication) of one species. Generally these indirect interactions are not well understood or demonstrated. We propose and study a prey (seabird)‐mesopredator (rat)‐superpredator (cat) model, taking into account the juvenile stages in the prey population, in order to direct conservation management for seabird conservation. We give a more biologically realistic differential system than those studied before (Courchamp et al. [1999] ; Fan et al. [2005] ), in particular for long‐lived seabird species. We present a theoretical study and show existence and uniqueness of a positive solution as well as a qualitative study of the equilibria that may appear. Because standard numerical methods, usually implemented in scientific softwares, can fail to give the right biological approximations ( Anguelov et al. [2009] ), we propose a reliable algorithm that preserves most of the qualitative properties of the continuous system, using the theory of nonstandard finite difference methods. Finally, we use biologically realistic parameters available for the representative Barau's petrel (Pinet et al. [2008] ), an endemic species from Réunion island, to present numerical simulations that support the theoretical study. Cats play the major role in seabird prey population dynamics. Seasonality in seabird breeding delays but does not prevent extinction. In all scenarios, cat control (or preferably eradication) is imperative to prevent extinction of vulnerable long‐lived seabirds, like the Barau's petrel.     

EESI-MS监测ZrOCl2·8H2O催化的Paal-Knorr反应

用电喷雾萃取电离质谱（EESI-MS）离线监测甲醇中,ZrOCl₂·8H₂O催化的苯胺和2,5-己二酮的Paal-Knorr反应,检测到中间体m/z 204和m/z 208,产物m/z 172和产物二聚体m/z 343的准分子离子信号,并对其进行了结构分析。     

诺氟沙星–铜(Ⅱ)-吡啶衍生物配合物的合成、表征及生物活性

诺氟沙星(NFA)(图1)(1-乙基-6-氟-1,4-二氢-4-氧代-7-(1-哌嗪基)-3-喹啉羧酸)是一种典型的喹诺酮类抗菌化合物,主要通过抑制DNA旋转酶和拓扑异构酶Ⅱ使脱氧核糖核酸、核糖核酸及蛋白质的合成受到干扰,使细胞不能再进行分裂,而起杀菌作用,具有广谱抗菌性[1].     

单重态氧化学VIII.类卟啉稀土配合物光敏化产生单重态氧的ESR研究

用电子自旋共振(ESR)方法研究类卟啉稀土配合物([CO2H-APPC)Gd]Cl2)光敏产生单重态氧的II型机制。利用2,2, 6, 6-四甲基哌啶(TEMP)对单重态氧的捕捉, 测定所生成的氮氧自由基的ESR信号, 经加NaN3和CD3OD的实验, 证实了([CO2H-APPC)Gd]Cl2)光敏作用可有效地产生单重态氧, 并观察到在实验所用的浓度范围内, 随着光敏剂浓度加大, 生成的单重态氧也增加, 同时比较了几种不同稀土离子配合物产生单重态氧的差别。结合氧的消耗和氮氧自由基的ESR线宽变化对氧浓度的依赖性, 证明了类卟啉稀土配合物光敏化生成单态氧的II型反应在光动力光疗中起关键作用。     

MSM结构GaAs探测器的抗辐照性能

研究一种双金属接触的GaAs半导体探测器在14MeV中子辐照下的性能.测量了探测器经过10¹²n/cm²中子辐照剂量后的反向漏电流、电荷收集效率和最小电离粒子能谱,并且与⁶⁰Co 1.25MeV光子辐照的测量结果相比较.对中子辐照引起探测器时间性能变化和辐照损伤机制进行了探讨.并根据实验结果提出了这种双金属接触GaAs探测器灵敏层分布的一种假设,理论计算和实验数据相符合.