Separate continuity of the Lempert function of the spectral ball

We find all matrices A from the spectral unit ball Ωn such that the Lempert function lΩn(A,⋅) is continuous.     

Convergence behavior of Gauss–Newton’s method and extensions of the Smale point estimate theory

The notions of Lipschitz conditions with L$L$ average are introduced to the study of convergence analysis of Gauss–Newton’s method for singular systems of equations. Unified convergence criteria ensuring the convergence of Gauss–Newton’s method for one kind of singular systems of equations with constant rank derivatives are established and unified estimates of radii of convergence balls are also obtained. Applications to some special cases such as the Kantorovich type conditions, γ$\gamma$-conditions and the Smale point estimate theory are provided and some important known results are extended and/or improved.     

第14届亚洲物理奥林匹克竞赛实验试题与中国队学生实验能力分析

介绍了第14届亚洲物理奥林匹克竞赛实验试题,并针对参赛学生在竞赛中的失分情况分析了竞赛评分规则,指出了实验数据处理方法中的重点和存在的问题。     

激光诱骗干扰装备实弹对抗训练方法研究

随着训练需求的不断变化和深入,激光诱骗干扰装备训练迫切需要探索新的更加符合实战要求的训练方法。在分析激光诱骗干扰装备干扰原理和激光半主动制导武器作战过程的基础上,以制式激光末制导炮弹为对抗目标,设计了激光诱骗干扰装备实弹对抗训练方法,为激光诱骗干扰装备的干扰性能检验和战法运用的完善提供了新的训练思路,对进一步开展类似训练提供了参考。     

Comprehensive performance of a ball-milled La0.5Pr0.5Fe11.4Si1.6B0.2Hy/Al magnetocaloric composite

Due to the hydrogen embrittlement effect, La(Fe,Si)₁₃-based hydrides can only exist in powder form, which limits their practical application. In this work, ductile and thermally conductive Al metal was homogeneously mixed with La_0.5Pr_0.5Fe_11.4Si_1.6B_0.2 using the ball milling method. Then hydrogenation and compactness shaping of the magnetocaloric composites were performed in one step via a sintering process under high hydrogen pressure. As the Al content reached 9 wt.%, the La_0.5Pr_0.5Fe_11.4Si_1.6B_0.2H_y/Al composite showed the mechanical behavior of a ductile material with a yield strength of ~44 MPa and an ultimate strength of 269 MPa accompanied by a pronounced improvement in thermal conductivity. Due to the ease of formation of Fe-Al-Si phases and the several micron and submicron sizes of the composite particles caused by ball milling process, the magnetic entropy change of the composites was substantially reduced to ~1.2 J/kg· K-1.5 J/kg· K at 0 T-1.5 T.     

现代分析仪器在高中化学教学中的应用*——以“防晒霜的防晒效果实验探究”为例

从高中化学原子、分子等抽象性的知识教学出发,以防晒霜的防晒效果实验探究为例,探讨了现代分析仪器在高中化学教学中的应用。通过利用现代分析仪器紫外可见分光光度计,结合紫外线变色球实验探究防晒霜的防晒效果,分析并认识防晒霜中化学防晒的机理。结果表明,防晒霜的厚度越大、SPF越高,防晒霜的防晒效果越好,并且防晒霜的防晒效果可以持续一段时间,但是不同类型的防晒产品存在一定差异。在化学教学中渗透现代分析仪器的应用,为学生进一步了解化学学科在改变学习方式、拓宽学科知识领域、推动自身全面与可持续发展方面打下坚实的基础。     

Conventional vs. Microwave- or Mechanically-Assisted Synthesis of Dihomooxacalix[4]arene Phthalimides: NMR,X-ray and Photophysical Analysis §

Direct O-alkylation of p-tert-butyldihomooxacalix[4]arene (1) with N-(bromopropyl)- or N-(bromoethyl)phthalimides and K₂CO₃ in acetonitrile was conducted under conventional heating (reflux) and using microwave irradiation and ball milling methodologies. The reactions afforded mono- and mainly distal di-substituted derivatives in the cone conformation, in a total of eight compounds. They were isolated by column chromatography, and their conformations and the substitution patterns were established by NMR spectroscopy (¹H, ¹³C, COSY and NOESY experiments). The X-ray structures of four dihomooxacalix[4]arene phthalimide derivatives (2a, 3a, 3b and 5a) are reported, as well as their photophysical properties. The microwave (MW)-assisted alkylations drastically reduced the reaction times (from days to less than 45 min) and produced higher yields of both 1,3-di-substituted phthalimides (3a and 6a) with higher selectivity. Ball milling did not reveal to be a good method for this kind of reaction.     

黑磷的制备及表征研究

黑磷是一种具有高的载流子迁移率、高的通断比,带隙为0.3~2 eV的二维材料,对中红外、近红外新型光电器件的开发具有十分重要的意义.本文利用高能球磨法和化学气相转移法成功将红磷转化为黑磷,并进行液相剥离,得到了一层或两层的磷烯.利用X射线衍射仪、透射电子显微镜、差示扫描量热仪对其微观结构和稳定性进行了研究,并表征了化学气相转移法制备黑磷的电学性能.结果表明：高能球磨法制备的黑磷尺寸小、结晶度低,样品中有红磷存在,稳定性差.化学气相转移法制备的黑磷尺寸大、结晶度好、纯度高,且较为稳定.此方法制备的黑磷可成为剥离磷烯的优异原料,进而应用于先进微电子器件.     

Solution curves for semilinear equations on a ball

We show that the set of positive solutions of semilinear Dirichlet problem on a ball of radius in

consists of smooth curves. Our results can be applied to compute the direction of bifurcation. We also give an easy proof of a uniqueness theorem due to Smoller and Wasserman (1984).