时空理论的演化历程

 关于空间与时间的理论,从古至今有许多的哲学家和自然科学家为其倾注许多的心智和汗水。大体上可分为三个时期。第一个时期可称为古代的探索时期中国古代的庄子就对宇宙有一个自己的看法:“有实而无乎处者,宇也。有长而无本剽者,宙也。”“有实”是指有形体的物质实在,而每一物质实在都有一定的体积、一定的外形,占有一定的空间;“无乎处”,即没有穷处,没有界限。因此,庄子所谓“宇”是指广阔无边的空间实在。“有长”是指时间而言,时间只讲长度,即古今前后,它没有上下左右;“无本剽者”,即无始又无终。因此,庄子之谓“宙”是指无始无终的古往今来。     

物理竞赛中的分布力与微元分析法

 物理竞赛辅导对物理特长生的发展很有必要。物理竞赛对知识和思维能力的要求特别高,各种物理思维的形成都需要经过一段从感知到内化的过程,而这个过程是要通过一系列的相关“板块”问题的练习来逐步提炼。本文就分布力与微元法的“板块”问题作一序列分析。物体的个别点受到作用力时,称这种力为点分布力。绳通过与物体联结处对物体施力,当联结处可近似为一个点时,所施力属于点分布力。当物体的某线段上所有点均受到作用力时,称这种力为线分布力,如冰刀若足够薄,刀与冰面接触处可近似为一条线段,其间摩擦力属于线分布力。     

Three Novel Eremophilanolides from Ligularia virgaurea spp. oligocephala

From the alcoholic extract of the whole plant of Ligularia virgaurea spp. oligocephala, three novel eremophilane sesquiterpene lactones, 6α, 10α-dihydroxy- 1-oxoeremophila-7(11), 8(9)-dien-8, 12-olide, 613, 10α-dihydroxy-1-oxoeremophila-7 (ll), 8 (9)-dien-8, 12-olide and 10α-hydroxy-1-oxoeremophila-7(l 1), 8(9)-dien-8, 12-olide were isolated. Their structures were elucidated by various spectroscopic methods including intensive 2D NMR techniques (COSY,HMQC, HMBC and ^1H-^1H NOESY) and HR-MS.     

The First and Facile Synthesis of (±) Syringaresinol

The first and facile synthesis of (±)syringaresinol was described.     

非饱和土本构关系的混合物理论(Ⅱ)--线性本构方程和场方程

通过对非饱和土非线性本构方程和场方程的线性化，推导出了非饱和土的线性本构方程和场方程，把线性方程表示为与Biot饱和多孔介质方程相似的形式；证明了Darcy定律对非饱和土的适用性；说明了Biot饱和多孔介质方程是这些线性方程的特征。所有这些都表明用混合理论处理非饱和土本构问题的正确性。     

一类二阶椭圆型微分方程振动性的判定

利用积分平均和完全平方技巧，给出了一类二阶椭圆型微分方程所有解在R^n的一个外区域Ω上均振动的新的充分条件。     

非线性时滞差分方程的振动性

考虑非线性时滞差分方程x_{n+1}-x_n+p_nf(x_{n-l_1},x_{n-l_2}x_{n-l_m})=0, n=0,1,2, 获得了方程所有解振动的充分条件, 推广并改进了现有文献中的结果.     

A Continuation Method of Parameter Inversion for Non-Equilibrium Convection-Dispersion Equation

Based on the homotopy mapping, a globally convergent method of parameter inversion for non-equilibrium convection-dispersion equations （CDEs） is developed. Moreover, in order to further improve the computational efficiency of the algorithm, a properly smooth function, which is derived from the sigmoid function, is employed to update the homotopy parameter during iteration. Numerical results show the feature of global convergence and high performance of this method. In addition, even the measurement quantities are heavily contaminated by noises, and a good solution can be found.     

Boundedness of Multilinear Operators on Herz Type Spaces： Extreme Cases

In this paper, two classes of closely related multilinear singular and fractional integrals,which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.