Relativistic compact stars with charged anisotropic matter

In this article, we perform a detailed theoretical analysis of new exact solutions with anisotropic fluid distribution of matter for compact objects subject to hydrostatic equilibrium. We present a family solution to the Einstein-Maxwell equations describing a spherically symmetric, static distribution of a fluid with pressure anisotropy. We implement an embedding class one condition to obtain a relation between the metric functions. We generalize the properties of a spherical star with hydrostatic equilibrium using the generalised Tolman-Oppenheimer-Volkoff (TOV) equation. We match the interior solution to an exterior Reissner-Nordström one, and study the energy conditions, speed of sound, and mass-radius relation of the star. We also show that the obtained solutions are compatible with observational data for the compact object Her X-1. Regarding our results, the physical behaviour of the present model may serve for the modeling of ultra compact objects.     

基于卷积神经网络的烟叶近红外光谱分类建模方法研究

卷积神经网络(CNN)在图像分类识别领域应用广泛,但其在近红外光谱分类中的研究还未见报道,对基于CNN的近红外光谱分类建模方法进行了研究。针对近红外光谱数据的特点,提出了一种改进的卷积神经网络建模方法,对CNN经典模型LeNet-5所做改进：①将方形矩阵卷积核改为适用于一维近红外光谱的向量卷积核;②简化网络结构,将LeNet-5结构中C5,F6及输出层改为单层感知机。同时,采用隔点采样的方法对近红外光谱降维,加快收敛速度;并对卷积核尺寸对建模结果的影响进行了研究。以我国东北、黄淮、西南三大烤烟产区的600个中部烟叶样本的近红外光谱为实验对象,建立烟叶产区分类NIR-CNN模型。该模型对训练集和测试集的判别准确率为98.2%和95%。实验结果表明,应用卷积神经网络可对近红外光谱数据准确、可靠地判别分类;烟叶产区NIR-CNN建模方法可为卷烟企业烟叶原料科学合理利用提供指导,为维护卷烟产品的质量稳定有重要意义;基于卷积神经网络的近红外光谱判别方法也可推广到其他农产品的分类应用中。     

[ONSO]型Salen化合物的合成、单晶结构及金属离子识别

一些重金属离子即使在较低浓度时也会对环境、生物体产生毒性,所以研究痕量金属离子识别具有重大意义。荧光传感器由于具有选择性好、灵敏度高、成本低、实时响应等优点, 得到了广泛关注。以2,4-二叔丁基苯酚,3,5-二叔丁基水杨醛和邻氨基苯硫酚为原料合成了类Salen配体L1, 并用1H NMR,13C NMR,IR,元素分析及X射线单晶衍射等手段对其进行了表征。并通过自由挥发法得到了配体L1的单晶结构,实验表明L1是三斜晶、P-1空间群的一个空穴平面[ONSO]四配位环境。通过荧光光谱考察了类Salen配体与金属离子(Li+,Na+,K+,Cd2+,Cs+,Co2+,Cu2+,Hg2+,Mn2+,Ni2+,Zn2+,Ag+)的识别与配位性能。光谱滴定分析表明L1与Zn2+以1∶1的化学计量数配位。另外,L1与Zn2+结合后荧光显著增强,荧光检测限达到5.01×10-5 mol·L-1,而上述提到的其他常见金属离子不引起荧光光谱变化。结果表明L1是一个对检测Zn2+的选择性高,灵敏度强的荧光增强型探针。     

Bundling decisions in supply chains

Firms often sell products in bundles to extract consumer surplus. While most bundling decisions studied in the literature are geared to integrated firms, we examine a decentralized supply chain where the suppliers retain decision rights. Using a generic distribution of customers’ reservation price we establish equilibrium solutions for three different bundling scenarios in a supply chain, and generate interesting insights for distributions with specific forms. We find that (i) in supply chain bundling the retailer’s margin equals the margin of each independent supplier, and it equals the combined margin when the suppliers are in a coalition, (ii) when the suppliers form a coalition to bundle their products the bundling gain in the supply chain is higher and retail price is lower than when the retailer bundles the products, (iii) the supply chain has more to gain from bundling relative to an integrated firm, (iv) the first-best supply chain bundling remains viable over a larger set of parameter values than those in the case of the integrated firm, (v) supplier led bundling is preferable to separate sales over a wider range of parameter values than if the retailer led the bundling, and (vi) if the reservation prices are uniformly distributed bundling can be profitable when the variable costs are low and valuations of the products are not significantly different from one another. For normally distributed reservation prices, we show that the bundling set is larger and the bundling gain is higher than that for a uniform distribution.     

Note on 2-rational fields

We give an alternative computation of the Galois group of the maximal 2-ramified and complexified pro-2-extension of any 2-rational number field (Theorem 2), a particular case of results of Movahhedi-Nguyen Quang Do. This short Note is motivated by the paper [J. Jossey, Galois 2-extensions unramified outside 2, J. Number Theory 124 (2007) 42-76] and, at this occasion, we bring into focus some classical technics of abelian ?-ramification which, unfortunately, are often ignored, especially those developed by J.-F. Jaulent with the ?-adic class field theory, and by G. Gras in his book on class field theory, and which considerably simplify the study of such subjects; for instance, our proof of Theorem 2 generalizes the purpose of Jossey's paper in such a way using a result of Herfort-Zalesskii. This Note is mainly an attempt of clarification about ?-rationality.     

Dynamic Models of Simple Judgments: I. Properties of a Self-Regulating Accumulator Module

This is the first of two papers comparing connectionist and traditional stochastic latency mechanisms with respect to their ability to account for simple judgments. In this paper, we show how the need to account for additional features of judgment has led to the formulation of progressively more sophisticated models. One of these, a self-regulating, generalized accumulator process, is treated in detail, and its simulated performance across a sample of tasks is described. Since an adaptive decision module of this kind possesses all the ingredients of intelligent behavior, it is eminently suited as a basic computing element in more complex networks.     

寡头竞争中的价格空间歧视研究

本先建立空间连续的价格歧视模型，得出竞争厂商进行价格空间歧视将得到更大利润占有更多的消费剩余。接着讨论了空间连续的价格歧视模型的局限性，为了增强可操作性提出价格空间歧视离散化。得出在空间差异竞争市场中，市场细分将增加竞争厂商的利润，同时得出竞争厂商价格空间歧视最大化均衡利润的条件。     

Edge colorings of graphs embeddable in a surface of low genus

In this paper, by using the Discharging Method, we show that any graph with maximum degree Δ 8 that is embeddable in a surface Σ of characteristic χ(Σ) 0 is class one and any graph with maximum degree Δ 9 that is embeddable in a surface Σ of characteristic χ(Σ) = − 1 is class one. For surfaces of characteristic 0 or −1, these results improve earlier results of Mel'nikov.     

The cultural Red King effect

Why do minority groups tend to be discriminated against when it comes to situations of bargaining and resource division? In this article, I explore an explanation for this disadvantage that appeals solely to the dynamics of social interaction between minority and majority groups—the cultural Red King effect (Bruner, 2017). As I show, in agent-based models of bargaining between groups, the minority group will tend to get less as a direct result of the fact that they frequently interact with majority group members, while majority group members meet them only rarely. This effect is strengthened by certain psychological phenomenon—risk aversion and in-group preference—is robust on network models, and is strengthened in cases where preexisting norms are discriminatory. I will also discuss how this effect unifies previous results on the impacts of institutional memory on bargaining between groups.     

APPLICATION OF TWO OPERATORS TRANSFORM FROM CLASS A OPERATOR TO THE CLASS OF HYPONORMAL OPERATOR

In this article, we give an operator transform T (*) from class A operator to the class of hyponormal operators. It is different from the operator transform T defined by M. Ch and T. Yamazaki. Then, we show that σ(T ) = σ( T (*)) and σa(T )\{0} = σa( T (*))\{0}, in case T belongs to class A. Next, we obtain some relations between T and T (9).