含PM-映射的变分不等式

文章在自反Banach空间中，利用锐角原理讨论了含PM-映射的变分不等式解的存在性问题。     

区间数线性不等式及拟不等式

区间数比较大小可以有很多方法.文中基于一种区间数比较大小的方法,提出了区间数线性不等式及拟不等式的概念,这种概念同样也适用于其他区间数排序.此外,根据区间数的运算法则分别给出了相应的解法,这种解不等式的方法同样也适用于其他一些区间数的排序.     

Homogeneous Isotropic Turbulence: Geometric and Isometry Properties of the 2-point Velocity Correlation Tensor

The emphasis of this review is both the geometric realization of the 2-point velocity correlation tensor field B_ij (x,x′,t) and isometries of the correlation space K³ equipped with a (pseudo-) Riemannian metrics ds²(t) generated by the tensor field. The special form of this tensor field for homogeneous isotropic turbulence specifies ds²(t) as the semi-reducible pseudo-Riemannian metric. This construction presents the template for the application of methods of Riemannian geometry in turbulence to observe, in particular, the deformation of length scales of turbulent motion localized within a singled out fluid volume of the flow in time. This also allows to use common concepts and technics of Lagrangian mechanics for a Lagrangian system (M^t, ds²(t)), M^t ? K³. Here the metric ds²(t), whose components are the correlation functions, evolves due to the von Kármán-Howarth equation. We review the explicit geometric realization of ds²(t) in K³ and present symmetries (or isometric motions in K³) of the metric ds²(t) which coincide with the sliding deformation of a surface arising under the geometric realization of ds²(t). We expose the fine structure of a Lie algebra associated with this symmetry transformation and construct the basis of differential invariants. Minimal generating set of differential invariants is derived. We demonstrate that the well-known Taylor microscale λ_g is a second-order differential invariant and show how λ_g can be obtained by the minimal generating set of differential invariants and the operators of invariant differentiation. Finally, we establish that there exists a nontrivial central extension of the infinite-dimensional Lie algebra constructed wherein the central charge is defined by the same bilinear skew-symmetric form c as for the Witt algebra which measures the number of internal degrees of freedom of the system. For turbulence, we give the asymptotic expansion of the transversal correlation function for the geometry generated by a quadratic form.     

HYPERFINITE TRANSVERSAL THEORY. II

We continue the investigation of validity of Hall's theorem in the case of the Loeb space of an internal, uniformly distributed, hyperfinite measure space initiated in1992 by the author. Some new classes of graphs are introduced for which the measure theoretic version of Hall's theorem still holds.

     

二级线性价格控制问题的满意解的求解思路及实例

本文就文献 [1]对线性二级价格控制问题 (BLP) 2 研究的结果及文献 [2 ]提出的问题进行了进一步的讨论。用反例指出文 [1]求出的极点最优解是错的 ,以及一般的 (BL P) 2 问题求出的最优解 ,可能是下层决策者根本无法接受的。因此 ,本文提出 (BLP) 2 的求下层目标最优解的边界搜索法及在此基础上用多目标的观点来求 (BLP) 2 的满意解的思路及实例     

Foundations of the quantum statistics of systems in equilibrium: A measuretheoretic approach

The fundamental equations of equilibrium quantum statistical mechanics are derived in the context of a measure-theoretic approach to the quantum mechanical ergodic problem. The method employed is an extension, to quantum mechanical systems, of the techniques developed by R. M. Lewis for establishing the foundations of classical statistical mechanics. The existence of a complete set of commuting observables is assumed, but no reference is made a priori to probability or statistical ensembles. Expressions for infinite-time averages in the microcanonical, canonical, and grand canonical ensembles are developed which reduce to conventional quantum statistical mechanics for systems in equilibrium when the total energy is the only conserved quantity. No attempt is made to extend the formalism at this time to deal with the difficult problem of the approach to equilibrium.     

基于改进的卷积神经网络的钢号识别

为获取样本的多样性特征,提出了一种改进的卷积神经网络结构。该网络中引入多层递归神经网络,利用卷积神经网络提取输入图像的浅层特征,同时利用卷积神经网络和递归神经网络并行提取高层特征,最后将两种网络学习到的特征进行融合输入到分类器中分类。利用迁移学习理论解决小样本集数据训练不足的问题,并将这种卷积神经网络结构应用于石油物资管线钢号识别中。实验探究了递归神经网络个数与卷积核个数对网络性能的影响,实验结果表明,改进的网络结构与其它网络进行对比,错误率降低了 3% 。     

基于粗糙-模糊神经网络的焊接图像缺陷识别

针对焊接图像缺陷识别中提取的特征受噪声干扰比较严重以及现有的识别算法准确率低的问题,提出了一种基于粗糙模糊神经网络的缺陷识别算法。该算法充分利用了粗糙集的属性约简、模糊集的处理不精确数据以及神经网络的自学习、对任意函数逼近的优点,有效地解决了不确定建模过程中样本数据受到噪声干扰、模型结构难以确定的问题。仿真结果表明:该算法能有效地提高焊缝图像的缺陷识别能力。     

平面凸集存在最小凸生成集的充要条件

本文在平面上解决了StevenRLay在 [1 ]中提出的开放性问题“什么样的凸集存在唯一的最小凸生成子集” ,给出并证明了“平面上的凸集存在唯一的最小凸生成子集”的一个充要条件 .同时证明了En 中的开集一定不存在最小凸生成集 .     

半波长超导共面波导谐振腔传输及温度特性研究

超导共面波导谐振腔主要包括四分之一波长型和半波长型.本文对半波长超导共面波导谐振腔使用并联RLC电路进行等效分析,使用sonnet软件进行仿真其传输特性,通过电子束蒸发和激光直写等工艺制备出样品,在低温超导状态下使用矢量网络分析仪对其传输特性进行测量,以及通过持续降温方式研究其传输特性受温度的影响.实验表明:测得的谐振频率和外部品质因数与设计值吻合;谐振频率受动态电感的影响随温度降低而升高;外部品质因数随温度降低而保持基本不变;内部品质因先受导体损耗的影响随温度降低而急剧升高,当温度降低至一定温度后内部品质因数受介电损耗的影响随温度降低而保持基本不变;总品质因数在温度较高时主要来自于导体损耗,在温度较低时主要来自于介电损耗和外部品质因数,随温度的变化趋势和内部品质因数一致.