L-fuzzy商群的L-fuzzy同构定理

给出了L-fuzzy群的L-fuzzy同态基本定理。同时建立了L-fuzzy商群的L-fuzzy同态和L-fuzzy同构定理。     

基于TOPSIS的区间直觉模糊多属性决策法

对基于区间直觉模糊信息的多属性决策问题进行了研究。给出了区间直觉模糊数之间的距离公式,并定义了区间直觉模糊正、负理想点,进而提出了一种基于TOPSIS的区间直觉模糊多属性决策方法。最后进行了实例分析。     

SH型区间值模糊理想

给出SH型区间值模糊左(右)理想和SH型区间值模糊理想的概念,研究了它们的一些性质,并应用区间值模糊集合的扩展原理,讨论了它的同态像和逆像问题,同时对于SH型区间值模糊左(右)特征理想及其性质进行了初步的讨论。     

超格中的理想

在超格中引入了超序的概念,得到了超序的若干特征定理.借助于超序的概念,给出了超格中的理想的定义,研究了超格中的理想的一系列性质.     

理想人格的互鉴：芬兰学派奥古斯丁学新诠释及其与中国哲学的相遇

奥古斯丁学已渐趋成为国内教父学与中世纪哲学研究领域的显学之一。然而以往研究多侧重欧陆或英美的论争文献,而北欧跨语际情境下的研究状况却少有述及。根植于路德称义问题的创新诠释,北欧边境上以芬兰学派为代表的教父学研究展示出丰富而鲜明的特色。其诠释之“新”体现于成神观念、成神路径、成神境界等多重维度的文献发现与理论突破,展现了本体论与现象学路径相结合的人格理想的重新定位。虽然以曼多马为代表的芬兰学派最初勃兴于与俄国东正教的交锋,然而其“参与神性”的理想人格观突破了原有宗教哲学对话模式而拓延至与东方特别是中国哲学的相遇,显示出与儒家天人合一理想、佛教顿悟成佛理念、道家仙化人格理论的遥相呼应。聚焦理想人格的诠释传统,不仅对深度把握北欧边境上的奥古斯丁暨教父学研究动态有所裨益,也将为跨文化视域下“中国−北欧”哲学互动开拓新的理论资源。     

Superdense tI12 carbon: Unexpectedly high elastic moduli but low ideal strength

The basic physical and chemical properties of new carbon allotropies are important to explore their further technique and industrial applications. Here, a systematic theoretical investigation on the electronic, dynamical, and elastic properties for the superdense carbon (tI12) are performed, especially the ideal tensile and shear strength and the corresponding bond-breaking modes are explored to uncover its intrinsic mechanical nature and the corresponding bond-breaking modes. Our results show that the bulk, shear and Young's modulus of tI12 carbon are ultrahigh, close to those of diamond, reflecting its excellent performance of the substance's resistance to be deformed elastically at small strains. However, the calculated tensile and pure shear strengthes are remarkably lower than that of diamond, which is attributed to its original structural anisotropy by analyzing the atomic structural deformation under different strains. The current results highlighted the need to carefully examine the stress response at large strains, which provide crucial insights for the bond-breaking modes and deformation mechanisms that may lead to conclusions different from those obtained from equilibrium structures.     

LF拓扑线性空间上Fuzzy线性泛函的连续性

文（４）中给出了Ｘ（Ｌ）上的模糊线性算子的定义。作为其特例，本文证明了ＬＦ拓扑线性空间上模糊线性泛函连续性的几个等价命题和模糊线性泛函的Ｈａｈｎ－Ｂａｎａｃｈ延拓定理，进而给出了ＬＦ拓扑线性空间上存在非零连续模糊线性泛函的一个充要条件。     

Stokes流和理想流体轴对称问题的解析函数法

本文利用流函数解的完备性和共轭势函数的概念,导出了轴对称Stokes流和理想流体完备的速度和压力的解析函数表达式解.作为它的应用,我们求出关于球的缓慢绕流问题的解.     

基于理想解法的公司债券财务状况评价

本文详细介绍了如何基于理想解法建立公司债券财务状况的评价模型,并通过指标数据进行了实证分析,得到了比较满意的评价结果。     

Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics

We begin by placing the generalized Lagrangian mean (GLM) equations for a compressible adiabatic fluid into the Euler–Poincaré (EP) variational framework of fluid dynamics, for an averaged Lagrangian. We then state the EP Averaging Result—that GLM equations arise from GLM Hamilton’s principles in the EP framework. Next, we derive a new set of approximate small-amplitude GLM equations (gℓm equations) at second order in the fluctuating displacement of a Lagrangian trajectory from its mean position. These equations express the linear and nonlinear back-reaction effects on the Eulerian mean fluid quantities by the fluctuating displacements of the Lagrangian trajectories in terms of their Eulerian second moments. The derivation of the gℓm equations uses the linearized relations between Eulerian and Lagrangian fluctuations, in the tradition of Lagrangian stability analysis for fluids. The gℓm derivation also uses the method of averaged Lagrangians, in the tradition of wave, mean flow interaction (WMFI). The gℓm EP motion equations for compressible and incompressible ideal fluids are compared with the Euler-alpha turbulence closure equations. An alpha model is a GLM (or gℓm) fluid theory with a Taylor hypothesis closure (THC). Such closures are based on the linearized fluctuation relations that determine the dynamics of the Lagrangian statistical quantities in the Euler-alpha closure equations. We use the EP Averaging Result to bridge between the GLM equations and the Euler-alpha closure equations. Hence, combining the small-amplitude approximation with THC yields in new turbulence closure equations for compressible fluids in the EP variational framework.