Simple scaling relations in geodynamics： the role of pressure in mantle convection and plume formation

Scaling relations are important in extrapolating laboratory experiments to the Earth‘s mantle. In planetary interiors, compression becomes an important parameter and it is useful to explore scalings that involve volume. I use simple volume scaling relations that allow one to extrapolate laboratory experiments and upper mantle behavior, in a thermodynamically self-consistent way, to predict lower mantle behavior. The relations are similar to the quasi-har-monic approximation. Slabs and plates have characteristic dimensions of hundreds of kilometers and time constants of 100 million years, but the volume scalings predict order of magnitude higher values in the deep mantle. The scaling relations imply that the deep mantle is a sluggish system with ancient features. They imply irreversible chemical stratification and do not favor the plume hypothesis.     

微观力学中的对应原理

在连续介质微观力学中,有两类基于微结构信息确定非匀质介质有效性能的基本理论:基于物理的平均场理论和基于数学的渐近均匀化理论.讨论了采用渐近均匀化理论求解具有孔洞的、具有周期性微结构的线弹性复合材料的有效弹性张量的提法、解法和步骤.以渐近均匀化方法为例,讨论了对应原理在求解微观力学线粘弹性问题中的应用     

分数阶非线性Schrdinger方程组非平凡基态解的存在性

利用山路引理和Lion引理,结合Pohozaev恒等式,得到了分数阶非线性Schrdinger方程组非平凡基态解的存在性.     

任意m×n阶cobweb网络的等效电阻研究

采用递推变换(RT)方法研究了一类任意m×n阶cobweb网络的等效电阻.首先采用网络分析建立递推矩阵方程模型(包括边界条件方程模型),其次构造矩阵变换获得矩阵的特征值和特征向量以便获得矩阵方程的通解与特解,最后利用矩阵逆变换给出支路电流的解析解,从而获得任意m×n阶cobweb网络任意2节点间的等效电阻公式,所得结果是由特征值构成及单求和表达.作为公式的应用,给出了等效电阻公式在特殊情形下的数个结果,并且给出了任意半无限和无限情形时的数个新的等效电阻公式,在与其他结果比较时发现了一个新的三角函数恒等式.     

史诗《玛纳斯》的习俗文化与民族认同

作为柯尔克孜人重要的文化符号,《玛纳斯》反映了柯尔克孜人社会生活的历史画卷,史诗中的英雄自古便受到柯尔克孜族的敬仰和膜拜。史诗真正始于玛纳斯的横空出世,围绕英雄的横空出世——这个开天辟地的大事, 整个民族古老的历史文化生活长卷徐徐展开和呈现出来, 英雄的出世和他戎马倥偬的一生, 实际上反映着一个民族古老的文化,而民族文化尤其是社会生活习俗为中心的精神文化被本民族全体成员体认、内化、弘扬、升华的过程就是民族认同的过程。社会习俗文化为民族认同提供文化基础和情感纽带,社会习俗文化与民族认同是相互影响、相互作用的关系。     

基于多尺度熵和动态时间规整的步态身份识别

针对现有人体步态身份识别算法单一、准确率较低的问题,提出了一种基于多尺度熵和动态时间规整（DTW,dynamic time warping）的人体步态身份识别方法。采用自制的APP软件在较低采样率下采集人体步行加速度数据,实验中共采集50名志愿者的正常行走加速度数据,使用多尺度熵算法进行数据处理,得到在各个尺度下的熵值,最后采用DTW算法对多尺度熵值进行特征匹配,得到的相对错误率（EER,equal error rate）为13.7%,仿真结果表明基于多尺度熵和DTW算法相结合的方法较好提高了身份识别的准确率,为人体步态身份识别提供了一个新的思路。     

An efficient identity-based key agreement protocol in a multiple PKG environment

Identity-based key agreement protocol affords a natural way to combine the participant’s identity with its public key.However,most of them just consider the key agreement in a single private key generator(PKG)environment.In addition,the existing key agreement protocols have a great computing overhead for mobile computing which is more and more popular today.This paper proposes a new identity based key agreement protocol.With the help of mathematical tools,we make our protocol applied in multiple PKG environment.It also satisfies all the security properties which is set for key agreement protocol.Moreover,some of its time-consuming operations can be delivered to untrusted public computation resources,so its computing complexity can be greatly reduced.     

Theoretical construction in physics – The role of Leibniz for Weyl's ‘Philosophie der Mathematik und Naturwissenschaft’

This paper aims at closing a gap in recent Weyl research by investigating the role played by Leibniz for the development and consolidation of Weyl's notion of theoretical (symbolic) construction. For Weyl, just as for Leibniz, mathematics was not simply an accompanying tool when doing physics—for him it meant the ability to engage in well-guided speculations about a general framework of reality and experience. The paper first introduces some of the background of Weyl's notion of theoretical construction and then discusses particular Leibnizian inheritances in Weyl's ‘Philosophie der Mathematik und Naturwissenschaft’, such as the general appreciation of the principles of sufficient reason and of continuity. Afterwards the paper focuses on three themes: first, Leibniz's primary quality phenomenalism, which according to Weyl marked the decisive step in realizing that physical qualities are never apprehended directly; second, the conceptual relation between continuity and freedom; and third, Leibniz's notion of ‘expression’, which allows for a certain type of (surrogative) reasoning by structural analogy and which gave rise to Weyl's optimism regarding the scope of theoretical construction.     

博士生“研究者”身份意识的缺失与重建

“研究者”的身份意识有利于博士生认清自己的社会责任和科学责任。学术研究是博士生身份意识的原点，但目前我国博士生“研究者”身份意识的缺失，导致了博士生身份定位模糊、学术使命缺乏等问题出现。为此，应该大力倡导博士生以学术为志业，以此还原博士生的研究者身份，唤醒他们的研究意识。     

李渔从绘画到戏曲的身份认同

李渔是中国古代著名的文化艺术大家,毕生直面社会经济发展潮流,绘画理论与实践根置现实,执着无待而兴;与此同时,通过实施直观实用的创作原则,绘画向戏曲渗透,艺术向谋生齐观,获得了戏曲上的独特建树,充分体现了李渔从绘画到戏曲的身份认同,以及商品经济价值取向。李渔从绘画到戏曲具有强烈的商品经济意识与动机,所含审美理想与经济实用兼而有之,给予当今人们有益的启迪。