关于p-叶星形性和强星形性的充分条件 (英)

本文利用微分从属的方法得到了单位圆盘内p-叶星形函数和强星形函数的某些充分条件．     

切变模量和转动惯量实验的改进

设计了一种基于垂直轴定理的新型吊钩,对切变模量和转动惯量实验进行了改进,使之成为既可测定金属丝切变模量和环、柱等刚体的转动惯量,又可验证反映转动惯量重要性质的平行轴定理及垂直轴定理的多功能实验仪.     

10瓦级双包层光纤激光器

考虑到所用大功率激光二极管的光谱特性，对光纤激光器的基本法布里-珀罗腔型稍加改变，研制出激光二极管抽运的10w级双包层光纤激光器，获得最高功率为11．8w、波长1100mm的单模激光输出。     

5-[N-乙酸根(4-吡啶基)]四唑为桥联配体的铜(Ⅱ)、镉(Ⅱ)配聚物

以5-[N-乙酸根(4-吡啶基)]四唑为桥联配体，分别与Cu(ClO)₂·6H₂O和CdCl₂的水溶液反应，获得配聚物[Cu(a4-ptz)₂·2H₂O]_n (1)和[{Cd(a4-ptz)·(H₂O)₂Cl}·H₂O]_n (2)，2个化合物通过元素分析、IR、TGA等表征，并测定了它的晶体结构。结果表明：化合物1是一个二维四方格子结构的配位聚合体，化合物2含有四元环(Cd₂Cl₂)的一维Z-型聚合链。化合物2在280 ℃以下热稳定性好，并且不溶于一般溶剂，因此可成为潜在的荧光材料。     

Integral Operators Between Fock Spaces∗

In this paper, the authors study the integral operator Sφf(z) = Z C φ(z, w)f(w)dλα(w) induced by a kernel function φ(z, ·) ∈ F ∞α between Fock spaces. For 1 ≤ p ≤ ∞, they prove that Sφ : F 1 α → F p α is bounded if and only if sup a∈C kSφkakp,α < ∞, (?) where ka is the normalized reproducing kernel of F 2 α; and, Sφ : F 1 α → F p α is compact if and only if lim |a|→∞ kSφkakp,α = 0. When 1 < q ≤ ∞, it is also proved that the condition (?) is not sufficient for boundedness of Sφ : F q α → F p α . In the particular case φ(z, w) = eαzw?(z ? w) with ? ∈ F 2 α, for 1 ≤ q < p < ∞, they show that Sφ : F p α → F q α is bounded if and only if ? = 0; for 1 < p ≤ q < ∞, they give sufficient conditions for the boundedness or compactness of the operator Sφ : F p α → F q α.     

军民融合背景下地方政府支持与民企参军行为的演化博弈研究

民参军是军民融合的重要组成内容,政府支持对于民参军的顺利进行发挥着关键作用。本文通过建立军民融合背景下的地方政府支持与民企参军行为的演化博弈模型,考察了参与者的决策演化过程,分析了参与者的进化稳定策略及影响因素。研究表明,增加地方政府对民企的资金奖励、加大民企参军税收优惠、民企资金收益率的提升,以及积极参军成本的降低,会使民企策略选择向积极参军方向演化,但却使地方政府行为向弱力度支持策略演化;而提升中央政府对地方政府的资金补助,降低地方政府支持民企积极参军的服务成本,不仅促使民企选择积极参军策略,还能促使地方政府选择强力度支持策略。最后,对模型结果进行算例分析,验证了结论的合理性。研究结果可以为当前民参军实践提供一定的理论指导。     

6-甲基-4-羟基-喹啉酸盐羟基钒(Ⅴ)(英)

The central V atom in bis[6-methyl-4-hydroxy-3-quinolinecarboxylate] mono(oxo)mono-hydroxy-vanadium(Ⅴ) (1), synthesized by the hydrothermal treatment of ethyl 6-methyl-4-hydroxy-3-quinolinecarboxylate and V₂O₅, has a distorted octahedral coordination geometry formed by six oxygen atoms from two oxygen atom of two hydroxy groups and two oxygen atoms of two carboxylate groups as well as one oxo group and hydroxy group. CCDC: 285592.     

The Efficient K Ion Storage of M2P2O7/C (M=Fe,Co, Ni) Anode Derived from Organic-Inorganic Phosphate Precursors

Metal phosphates have been widely explored in lithium ion batteries and sodium ion batteries owing to high theoretical capacities, mild toxicity and low cost. However, their potassium ion battery applications are less reported due to the limited conductivity and the slow diffusion kinetics. Considering these drawbacks, novel structured M₂P₂O₇/C (M=Fe, Co, Ni) nanoflake composites are prepared through an organic-phosphors precursor-assisted solvothermal method and a subsequent high temperature annealing process. The designed Co₂P₂O₇/C composite exhibits the highest rate capacity with 502 mAh g⁻¹ at 0.1 A g⁻¹ and good cyclability for 900 cycles at 1 A g⁻¹ and 2 A g⁻¹ when compared with Ni and Fe based composites. The superior electrochemical performance can be attributed to their unique nanoparticle-assembled nanoflake structure, which can afford enough active sites for K⁺ intercalation. In addition, the robust pyrophosphate crystal structure and the in situ formed carbon composition also have positive effects on enhancing the long-term cycling performance and the electrode's conductivity. Finally, this organic-phosphors precursor induced simple approach can be applied for easy fabrication of other pyrophosphate/carbon hybrids as advanced electrodes.     

Multi-multifractality,dynamic scaling and neighbourhood statistics in weighted planar stochastic lattice

The dynamics of random sequential partitioning of a square into ever smaller mutually exclusive rectangular blocks, which we call weighted planar stochastic lattice (WPSL), is governed by infinitely many conservation laws. Recently, we have shown one of the infinitely many conservation laws can be used as multifractal measure. In this article, we show that except the conservation of total area, each of the infinitely many non-trivial conservation laws is actually a multifractal measure and hence WPSL is a multi-multifractal. We then look at the block size distribution function and find that it exhibits dynamic scaling revealing that the spatial patterns of WPSL of different sizes are statistically self-similar. Besides, we investigate how the mean area ⟨A⟩_k of blocks with k neighbours and the average number of neighbours m_k of a typical cell that neighbours a k-sided block behaves with k. These results suggest that the Lewis law, ⟨A⟩_k∝k, is obeyed for up to k ≈ 8 and the Aboav–Weaire law, km_k∝k, is violated for the entire range of k.     

4,4'-联吡啶桥联的三个铜有机膦酸配合物的合成、结构及磁性

在水热条件下,以N-氧化-2-吡啶膦酸（H2L）为主配体,4,4＇-联吡啶（bpy）为桥联配体,合成了3个铜有机膦酸配合物： {[CuL（bpy）0.5（H₂O）]·2H₂O}_n（1）, {[Cu（HL）₂（bpy）]·4H₂O}_n（2）和{[Cu₂（L）₂（bpy）]·3H₂O}_n（3）。配合物1中,相邻的铜离子由2个膦酸根连成二聚体,二聚体之间通过bpy桥联成一维链。配合物2中,单核[Cu（HL）₂]被bpy连接成一维链。配合物3中,四聚体[Cu₂（L）₂]₂被bpy连接成“砖块状”结构的二维层。磁性研究表明,配合物1和3中铜离子之间存在反铁磁性耦合。