关于Ekeland—Caristi定理的一点注记

1.引言 为适应讨论映象满射性等问题的需要,W.O.Ray和A.M.Walker在[1]中对Ekeland—Caristi定理作了新的推广,获得如下的结果: 定理1.1 设(M,d)为完备距离空间,:M→[0,∞)下半连续,C:[0,∞)→[0,∞)连续,不增,且integral from 0 to ∞(C(s)ds=∞)。x_0∈M为某一固定点。若映象g:M→M满足     

NeuDATool：支持GPU硬件加速和计算机集群跨节点并行的开源中子散射数据分析软件

实验势精修是20世纪80年代英国散裂中子源无定型材料组开发的用于分析中子散射实验数据的软件. 实验势精修的目标是根据中子散射数据重建样品的三维原子结构. 在过去的几十年,实验势精修被广泛用于中子散射实验数据分析,为实验用户提供了可靠的分析结果. 但是实验势精修是基于共享内存并行计算(OpenMP)的Fortran程序,不支持计算机服务器集群跨节点并行加速和GPU加速;这限制了它的分析速度. 随着计算机服务器集群的广泛建设和GPU加速技术的普遍使用,有必要重新编写EPSR程序以提高运算速度. 本文使用面向对象的C++语言,开发了一套实现EPSR算法的开源软件包NeuDATool;软件通过MPI和CUDA C实现了计算机集群跨节点并行和GPU加速. 使用液态水和玻璃态二氧化硅的中子散射实验数据对软件进行了测试. 测试显示软件可以正确重建出样品的三维原子结构;并且模拟体系达到10万原子以上时,使用GPU加速可以比串行的CPU算法提高400倍以上的模拟速度. NeuDATool为中子实验用户尤其是对熟悉C++编程并希望定义特殊分析算法的实验科学家提供了一种新的选择.     

无绝缘高温超导双饼线圈的瞬态电热特性分析

无绝缘高温超导线圈具有良好的电热稳定性和机械紧凑性,但其充电过程中却有明显的磁场延迟现象。为详细了解无绝缘高温超导线圈励磁过程的瞬态特性,建立了无绝缘高温超导线圈的同轴圆环等效电路模型。通过绕制一个670匝的无绝缘高温超导双饼线圈,在液氮温度下进行不同充电速率的励磁实验,初步验证了等效电路模型的正确性。基于该模型,针对线圈励磁过程的充电和恒流阶段,仿真得到了线圈各匝的径向电流分布规律和电热损耗特性。     

THE ENERGY SPECTRA OF 1f7/2 SHELL NUCLEI WITH NONIDENTICAL NUCLEONS CONFIGURATION AND THE TWO BODY SPIN-ORBIT COUPLING FORCES

The central and two body spin-orbit coupling forces as the residual interaction and the pure configuration are used to calculate the energy spectra of 1f_7/2 shell nuclei (⁴³Sc,⁴⁴Ti,⁵²Fe,⁵³Fe,⁵³Co) with nonidentical configuration. The consistency bettween the calculated energy spectra of the nuclei and the experimental data are rather satisfactory.     

周期性梯度折射率多层膜的软X射线反射率

由于界面互扩散的存在,实际的超薄多层膜很难具有清晰的界面结构.假设超薄多层膜为具有周期性梯度折射率的多层膜结构,用直线模型和余弦模型模拟了周期性梯度折射率多层膜的软X射线反射率.结果证明,折射率余弦渐变的多层膜虽然不具有清晰的界面,但它同样具有很高的反射率.     

ZnS作为空穴缓冲层的新型有机发光二极管

采用磁控溅射方法在ITO表面沉积了不同厚度的ZnS超薄膜作为有机发光二极管(OLEDs)的缓冲层,使典型结构(ITO/TPD/Alq3/Al)的OLEDs的发光性能得到改善。ZnS缓冲层厚度对器件性能影响的实验结果表明,当ZnS缓冲层厚度为5nm时,器件电流密度提高了近2倍,亮度提高了2倍;当ZnS缓冲层厚度为10nm时,器件发光的电流效率提高18%,器件的性能得到改善。宽禁带的ZnS缓冲层对空穴从阳极到有机功能层的注入有阻碍作用,促进器件载流子平衡,提高了器件发光效率,改善了器件性能。     

SiO2脊形条波导热极化引起的电光效应

通过理论模拟对具有上覆盖层的SiO2脊形条波导结构进行了优化,在此基础上利用微电子工艺制作了SiO2脊形波导Mach-Zehnder 型电光调制器,并进行热极化引起的电光和非线性效应的研究.热极化过程大幅增强了样品的电光及非线性效应,二次电光系数由热极化前的1.56×10-22(m/V)2提高到热极化后的8.50×10-22(m/V)2,极化后得到了0.093pm/V的线性电光系数,对热极化的物理机理进行了理论分析.     

25 GHz interleavers made by Michelson interferometer with a Gires–Tournois etalon

We report a high-quality interleaver with frequency spacing of 25 GHz, which is made by a Michelson interferometer with a mirror replaced by a Gires–Tournois etalon. Our optimal design and elaborate manufacture assure its excellent performance. We present the analysis of performance parameters, design of structural parameters, the unique fabrication technology and testing results of this interleaver in this paper.     

Magnetic M<Subscript><Emphasis Type="Italic">x</Emphasis></Subscript>O<Subscript><Emphasis Type="Italic">y</Emphasis></Subscript>@N-C as heterogeneous catalysts for the catalytic oxidation of aniline solution with sulfate radicals

Metal nanoparticles have been combined with magnet metal–organic frameworks (MOFs) to afford new materials that demonstrate an efficient catalytic degradation, high stability, and excellent reusability in areas of catalysis because of their exceptionally high surface areas and structural diversity. Magnetic M _x O _y @N-C (M = Fe, Co, Mn) nanocrystals were formed on nitrogen-doped carbon surface by using 8-hydroxyquinoline as a C/N precursor. The Co@N-C, MnO@N-C, and Fe/Fe₂O₃@N-C catalysts were characterized by X-ray diffraction (XRD), Raman, scanning electron microscopy (SEM), high-resolution transmission electron microscopy (HRTEM), N₂ adsorption/desorption, and X-ray photoelectron spectroscopy (XPS). The catalytic performances of catalysts were thoroughly investigated in the oxidation of aniline solution based on sulfate radicals (SO₄ ^?.) toward Fenton-like reaction. Magnetic M _x O _y @N-C exhibits an unexpectedly high catalytic activity in the degradation of aniline in water. A high magnetic M _x O _y @N-C catalytic activity was observed after the evaluation by aniline degradation in water. Aniline degradation was found to follow the first-order kinetics, and as a result, various metals significantly affected the structures and performances of the catalysts, and their catalytic activity followed the order of Co > Mn > Fe. The nanoparticles displayed good magnetic separation under the magnetic field.

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