基于毕达哥拉斯犹豫模糊距离测度的灰关联双向投影决策法

为解决多属性决策单方向偏差难题所提出的灰关联投影法尚存在适用性差的技术不足。为此,在借鉴双向投影技术要点的基础上联合新型灰关联系数,并引入毕达哥拉斯犹豫模糊集的表达优势,提出基于毕达哥拉斯犹豫模糊距离测度的灰关联双向投影决策方法。新方法能够有效解决毕达哥拉斯犹豫模糊多属性决策问题,具有较高的分辨度。通过算例应用分析,直接验证了毕达哥拉斯犹豫模糊灰关联双向投影方法的实用性,间接验证了毕达哥拉斯犹豫模糊距离测度和灰关联双向投影法的有效性。     

Riesz potential estimates for a class of double phase problems

A double phase problem with a bounded Borel measure on the right hand side is studied. We prove an optimal pointwise gradient estimate for such a measure data problem via Riesz potentials of the measure under log-Dini continuity assumption on the modulating coefficients. As a consequence, we find an optimized $C^1$ regularity criterion.     

Metabolomics techniques applied in the investigation of phenolic acids from the agro-industrial by-product of Carapa guianensis Aubl

Processing of Carapa guianensis seeds to obtain oil on an industrial scale generates a significant amount of by-product, approximately 66% w/w, which is called cake and is a potential source of biomolecules, including simple phenolic structures. For this reason, studies were carried out on the chemical profiles of hydrolyzed extract from this agro-industrial by-product through High Performance Thin-Layer Chromatography (HPTLC) and Gas Chromatography coupled to Mass Spectrometry (GC–MS). These techniques were used to detect metabolic classes and/or groups, and to identify, for the first time, thirteen simple phenolic acids in this by-product. The sample antioxidant capacity was determined by methods of 2,2-diphenyl-1-picrylhydrazyl (DPPH)and 2,2′-azino-bis(3-ethylbenzothiazoline-6-sulfonic acid) diammonium salt (ABTS⁺) radicals direct sequestration. The hydrolyzed fraction showed a total of 63.47% in the relative abundance of the total of compounds, standing out: p-hydroxybenzoic acid (39.19%) and protocatechuic acid (3,4-dihydroxybenzoic acid) (5.62%), both from hydroxybenzoic acids and 3-(3,4-dihydroxyphenyl)lactic acid, (7.76%) hydroxycinnamic acids derivatives. In these results, the fraction rich in simple phenolic acids was obtained, attributing the prominent behavior of this matrix antioxidant activity, expressed by (IC₅₀: of 16.42 µg/mL and 6.52 µg/mL for DPPH and ABTS⁺ radicals, respectively). The research demonstrated an alternative to applicability that involves sustainability from agro-industrial. These techniques were used to detect metabolic classes and/or groups, and to identify, for the first time, thirteen simple phenolic acids in this by-product, generating a process capable of converting biomass into a bioproduct, consisting of bioactive compounds, in addition to adding value to the industrial chain.     

UPLC-Q/TOF-MS coupled with multivariate analysis for comparative analysis of metabolomic in Dendrobium nobile from different growth altitudes

Dendrobium nobile alkaloids (DNLA) and glycosides are the main active components extracted from Dendrobium nobile Lindl. (D. nobile) used for thousands of years in China. The pharmacological effects of the above chemical components are significantly different. D. nobile is mainly grown at an altitude ranging from 230 to 800 m in Chishui City, Northwest Guizhou Province. However, it is unclear whether the metabolite in D. nobile is influenced by the planting altitude. Hence, to reveal the different metabolite in D. nobile cultivated at the altitude of 336 m, 528 m, and 692 m, ultra-high performance liquid chromatography with Q/TOF-MS couple with multivariate analysis were developed. Using the orthogonal partial least squares-discriminant analysis, 19 different metabolites were discovered and then tentatively assigned their structures as alkaloids and glycosides by comparing mass spectrometry data with in-house database and literature. Moreover, the result of semiquantitative analysis showed the content of dendrobine that was belonged to alkaloids significantly increased at the altitude of 692 m, whereas the content of glycosides demonstrated an accumulation trend at the altitude of 528 m. The results could provide valuable information for the optimal clinical drug therapeutics and provide a reference for quality control.     

On the non-commutative fractional Wishart process

We investigate the process of eigenvalues of a fractional Wishart process defined by $N=B^{?}B$, where B is the matrix fractional Brownian motion recently studied in [18]. Using stochastic calculus with respect to the Young integral we show that, with probability one, the eigenvalues do not collide at any time. When the matrix process B has entries given by independent fractional Brownian motions with Hurst parameter $H\in (1/2,1)$, we derive a stochastic differential equation in the Malliavin calculus sense for the eigenvalues of the corresponding fractional Wishart process. Finally, a functional limit theorem for the empirical measure-valued process of eigenvalues of a fractional Wishart process is obtained. The limit is characterized and referred to as the non-commutative fractional Wishart process, which constitutes the family of fractional dilations of the free Poisson distribution.     

二维金属有机框架材料的合成及电催化应用

二维金属有机框架材料(MOFs)由于具备高比表面积、 多孔性以及丰富的活性位点等优异特性而受到广泛关注, 并且在电催化领域展现出巨大的应用潜力. 研究者们已在二维MOFs的可控制备与电催化性能调控方面取得许多突破性进展, 显示出相关研究对开发高性能电催化剂的关键作用. 本文总结了二维MOFs的自上而下和自下而上合成策略以及二维MOFs衍生物的典型合成方法, 概述了二维MOFs在各尺度下的电催化性能调控策略, 并介绍了各种合成方法和调控策略在电催化中的应用. 最后讨论了该领域面临的挑战, 并对未来的发展方向进行了展望.     

静电纺丝法制备PLLA/g-HNTs复合纳米纤维膜及其性能研究

以辛酸亚锡为催化剂,利用HNTs表面的羟基引发L-LA开环聚合,合成了表面接枝聚(L-乳酸)(PLLA)链段的埃洛石纳米管(g-HNTs),通过红外、热失重和透射电镜对改性前后HNTs的组成与形貌进行了观察;然后采用静电纺丝技术制备了PLLA纳米纤维膜以及不同组成的PLLA/HNTs和PLLA/g-HNTs复合纳米纤维膜,探讨了纺丝条件对纳米纤维膜形貌的影响,并对复合膜的组成、形貌、力学性能和细胞相容性进行了研究.结果表明,当HNTs与L-LA的摩尔投料比为1∶10时,g-HNTs表面PLLA链段的接枝率为14.22％,HNTs纳米管的形态在接枝后变化不大,易于在无水乙醇中分散.电压强度和进样速率对纤维膜的形貌有一定影响,当电压强度为15 kV、进样速率为1 mL/h时,电纺纤维的直径较为均匀.复合纤维膜中g-HNTs在基体PLLA中的分散性以及与基体的界面相容性要优于相应的HNTs,当g-HNTs含量高达40％时,复合纳米纤维膜中的纤维形态仍然保持较好,可以得到连续、粗细较均匀的纤维;随着HNTs和g-HNTs含量增加,复合纳米纤维膜的拉伸强度和模量先增大后下降,当HNTs和g-HNTs的含量为5％时,两种复合纳米纤维膜的拉伸强度和模量均达到最大值,但PLLA/g-HNTs组复合纳米纤维膜的拉伸强度始终大于相应的PLLA/HNTs组.体外3T3细胞培养结果显示,PLLA/g-HNTs复合纳米纤维膜具有良好的细胞相容性,且优于相应的PLLA和PLLA/HNTs纳米纤维膜.     

Large-scale failure modes of dielectric elastomer actuators

Dielectric elastomer actuators (DEAs) show promise for robotic and mechatronic applications. However, to date, these actuators have experienced high rates of failure that have prevented their practical application. Here, large scale modes of failure of DEAs and their performance limits are studied. The objective is to provide design guidelines and bound the performance of DEAs that avoid failure. An idealized DEA is modeled and its failure is predicted as a function of film pre-stretch used during actuator fabrication, actuation voltage, and stretch rate. Three failure modes are considered: pull-in, dielectric strength, and material strength. Each failure mode is shown to dominate for different combinations of pre-stretch and stretch rate. High stretch rates lead to dielectric strength failure while low stretch rates lead to pull-in failure. Material strength failure is less important for most cases. Model predictions are validated experimentally using practical DEAs operating under load. This study suggests that DEAs cannot be operated reliably under load for long periods of time or low stretch rates due to pull-in failure limitations. To be reliable, DEAs must be used for short periods of time with high stretch rates.     

Higher dimensional multifractal analysis of non-uniformly hyperbolic systems

A. Johansson, T.M. Jordan, A. Öberg, and M. Pollicott (2010) [7] have studied the multifractal analysis of a class of one-dimensional non-uniformly hyperbolic systems. By introducing some new techniques, we extend the results to the case of high dimension.