On error bounds for lower semicontinuous functions

We give some sufficient conditions for proper lower semicontinuous functions on metric spaces to have error bounds (with exponents). For a proper convex function f on a normed space X the existence of a local error bound implies that of a global error bound. If in addition X is a Banach space, then error bounds can be characterized by the subdifferential of f. In a reflexive Banach space X, we further obtain several sufficient and necessary conditions for the existence of error bounds in terms of the lower Dini derivative of f. Received: April 27, 2001 / Accepted: November 6, 2001?Published online April 12, 2002     

硫氰酸甲基三烷基季铵盐萃取Co（Ⅱ）的动力学

有关Co(Ⅱ)、Ni(Ⅱ)萃取分离的研究一直受到人们的重视。Preston报导了硫氰酸季铵盐(Q~ SCN-)萃取Co(Ⅱ)、Ni(Ⅱ)的平衡研究,认为Co(Ⅱ)的萃合物组成为Q_2Co(SCN)_4.本文用上升液滴法技术考察了Co(Ⅱ)/0.10mol·L~(-1)SO_4~(2-)/QSCN-煤油体系在298±1K条件下萃取速率R与CoSO_4、SO_4~(2-)和QSCN浓度的关系,确定了正向初始萃取速率方程,拟定了速控步骤。     

An Improved Tiered Head Pose Estimation Network with Self-Adjust Loss Function

As an important task in computer vision, head pose estimation has been widely applied in both academia and industry. However, there remains two challenges in the field of head pose estimation: (1) even given the same task (e.g., tiredness detection), the existing algorithms usually consider the estimation of the three angles (i.e., roll, yaw, and pitch) as separate facets, which disregard their interplay as well as differences and thus share the same parameters for all layers; and (2) the discontinuity in angle estimation definitely reduces the accuracy. To solve these two problems, a THESL-Net (tiered head pose estimation with self-adjust loss network) model is proposed in this study. Specifically, first, an idea of stepped estimation using distinct network layers is proposed, gaining a greater freedom during angle estimation. Furthermore, the reasons for the discontinuity in angle estimation are revealed, including not only labeling the dataset with quaternions or Euler angles, but also the loss function that simply adds the classification and regression losses. Subsequently, a self-adjustment constraint on the loss function is applied, making the angle estimation more consistent. Finally, to examine the influence of different angle ranges on the proposed model, experiments are conducted on three popular public benchmark datasets, BIWI, AFLW2000, and UPNA, demonstrating that the proposed model outperforms the state-of-the-art approaches.     

Nonlocal Effects of Low-Energy Excitations in Quantum-Spin-Liquid Candidate Cu_3Zn(OH)_6FBr

We systematically study the low-temperature specific heats for the two-dimensional kagome antiferromagnet,Cu_3Zn(OH)_6FBr.The specific heat exhibits a T~(1.7) dependence at low temperatures and a shoulder-like feature above it.We construct a microscopic lattice model of Z_2 quantum spin liquid and perform large-scale quantum Monte Carlo simulations to show that the above behaviors come from the contributions from gapped anyons and magnetic impurities.Surprisingly,we find the entropy associated with the shoulder decreases quickly with grain size d,although the system is paramagnetic to the lowest temperature.While this can be simply explained by a core-shell picture in that the contribution from the interior state disappears near the surface,the 5.9-nm shell width precludes any trivial explanations.Such a large length scale signifies the coherence length of the nonlocality of the quantum entangled excitations in quantum spin liquid candidate,similar to Pippard's coherence length in superconductors.Our approach therefore offers a new experimental probe of the intangible quantum state of matter with topological order.     

Surface chemistry connecting heterogeneous catalysis,photocatalysis and plasmonic catalysis

正Chemical reactions catalyzed by solid catalysts have recently expanded rapidly from traditional heterogeneous catalytic reactions to photocatalytic reactions and further to plasmonic-catalytic reactions,however,the fundamental understanding of the commonalities and differences among heterogeneous catalysis,     

Ionic liquid crystals derived from the protonation of poly(propylene imine) dendrimers with a cholesterol-based carboxylic acid

The liquid crystalline character of salts resulting from the interaction of poly(propylene imine) dendrimers with 3-cholesteryloxycarbonylpropanoic acid has been studied. The supramolecular structure and consequently the observed liquid crystalline phases are dictated by the degree of protonation of primary amino groups as compared with that of tertiary ones, determined by FTIR spectroscopy in the bulk and by NMR spectroscopy in solution. Glass transition temperatures of the materials are about 38°C. At higher temperatures they are transformed to smectic C* phases while a second-order smectic C phase to smectic A phase transition is observed between 90 and 110°C depending on dendrimer generation. At about 150°C the onset of degradation is observed. The influence of the ionic dendrimeric scaffold on the thermotropic properties is discussed.     

负载氧化钒催化剂的多波长拉曼光谱研究:结构识别和定量

探究负载金属氧化物的结构是确立催化剂结构和催化性能之间相互关系的首要条件. 在众多表征技术中,多波长拉曼光谱结合了共振拉曼和由不同波长激发的非共振拉曼,不仅在识别负载金属氧化物团簇的结构,而且在定量方面已经成为强有力的工具. 本文以两个负载氧化钒体系(VOx/SiO2,VOx/CeO2)为例,阐述了如何利用该技术研究活性氧化物团簇的多相结构,并理解氧化物团簇和载体之间复杂的相互作用. 由多波长拉曼光谱得到的定性和定量信息能为设计更有效的负载金属氧化物催化剂提供基本的依据.     

Bucillamine Inhibits UVB-Induced MAPK Activation and Apoptosis in Human HaCaT Keratinocytes and SKH-1 Hairless Mouse Skin

Ultraviolet B (UVB) radiation is known as a culprit in skin carcinogenesis. We have previously reported that bucillamine (N-[2-mercapto-2-methylpropionyl]-L-cysteine), a cysteine derivative with antioxidant and anti-inflammatory capacity, protects against UVB-induced p53 activation and inflammatory responses in mouse skin. Since MAPK signaling pathways regulate p53 expression and activation, here we determined bucillamine effect on UVB-mediated MAPK activation in vitro using human skin keratinocyte cell line HaCaT and in vivo using SKH-1 hairless mouse skin. A single low dose of UVB (30 mJ cm⁻²) resulted in increased JNK/MAPK phosphorylation and caspase-3 cleavage in HaCaT cells. However, JNK activation and casaspe-3 cleavage were inhibited by pretreatment of HaCaT cells with physiological doses of bucillamine (25 and 100 µm ). Consistent with these results, bucillamine pretreatment in mice (20 mg kg⁻¹) inhibited JNK/MAPK and ERK/MAPK activation in skin epidermal cells at 6–12 and 24 h, respectively, after UVB exposure. Moreover, bucillamine attenuated UVB-induced Ki-67-positive cells and cleaved caspase-3-positive cells in mouse skin. These findings demonstrate that bucillamine inhibits UVB-induced MAPK signaling, cell proliferation and apoptosis. Together with our previous report, we provide evidence that bucillamine has a photoprotective effect against UV exposure.     

二(2-乙基已基)磷酸(HDEHP)萃取钴(Ⅱ)、镁的研究

本文在25±1℃时考察了HDEHP-煤油/0.1MNaCl体系对Co(Ⅱ)、Mg的萃取.     

甲烷在Mo／HZSM—5催化剂上的高温活化

高温下,甲烷在Ｍｏ／ＨＺＳＭ－５分子筛上可直接生成苯［１］．虽然低温下甲烷能被Ｍｏ／ＨＺＳＭ－５催化剂表面的—ＯＨ所活化［２］,但对甲烷在高温下的活化过程知之甚少,然而这却是很重要的．我们采用原位红外光谱技术,研究了甲烷在高温下Ｍｏ／ＨＺＳＭ－５催化...