Isotactic poly(propylene‐co‐1‐pentene‐co‐1‐hexene) terpolymers: Synthesis,molecular characterization,and evidence of the trigonal polymorph

Terpolymers based on propylene with 1‐pentene and 1‐hexene as comonomeric units are satisfactorily synthesized using a metallocene catalyst. Thus, several terpolymers are prepared with distinct overall compositions in comonomers as well as three different 1‐pentene/1‐hexene ratios at a given composition to evaluate the influence on polymerization activity, intrinsic viscosity, and microstructural details. The new trigonal δ polymorph is observed in those quenched terpolymers with a global content in comonomers of about 14 mol %, independently of the ratio between both comonomers. However, preliminary results indicate a profound influence of that ratio on the crystallization rate. © 2013 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2013, 51, 3251–3259     

一类极限为1的未定式

对于一类00型或∞0型未定式，给出其极限为1的一个充分条件，并通过实例展示其应用。     

关于全国大学生数学竞赛决赛试题的解析与思考

本文对二道全国大学生数学竞赛决赛试题(数学类)给予了诠释与解析.     

Stability and bifurcation analysis in the delay-coupled van der Pol oscillators

In this paper, the dynamics of a system of two van der Pol equations with a finite delay are investigated. We show that there exist the stability switches and a sequence of Hopf bifurcations occur at the zero equilibrium when the delay varies. Using the theory of normal form and the center manifold theorem, the explicit expression for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived.     

Bond pricing under a Markovian regime-switching jump-augmented Vasicek model via stochastic flows

In this article, we shall explore the state of art of stochastic flows to derive an exponential affine form of the bond price when the short rate process is governed by a Markovian regime-switching jump-diffusion version of the Vasicek model. We provide the flexibility that the market parameters, including the mean-reversion level, the volatility rate and the intensity of the jump component switch over time according to a continuous-time, finite-state Markov chain. The states of the chain may be interpreted as different states of an economy or different stages of a business cycle. We shall provide a representation for the exponential affine form of the bond price in terms of fundamental matrix solutions of linear matrix differential equations.     

XANES技术探究酸处理对义马煤中硫形态及其热变迁行为的影响

利用XANES技术研究了酸处理对义马煤的比表面积、体相及表面硫形态分布和热解过程中硫变迁行为的影响。结果表明,由于酸处理过程中部分镶嵌于有机质中的矿物质被脱除导致部分闭合孔打开,煤的比表面积有所增大。HCl-HF和HCl-HF-HNO_3处理脱除了煤中大部分矿物质和无机硫,由于HNO_3的强氧化性,YMN中亚砜和砜硫化物的相对含量均高于YMR和YMD。相比煤样体相,酸处理过程对表面形态硫的分布产生了更为明显的影响。酸处理煤样热解含硫气体释放量减少,但由于大部分碱性矿物质的脱除和煤中易分解形态硫相对含量的增加,含硫气体释放率增加。不同形态硫之间的内部转化使得酸处理煤焦中主要形态硫的分布更为均匀。通过HCl-HF-HNO_3处理可以有效地脱除煤中矿物质及无机硫,并改变煤中形态硫分布,从而为高灰分、富含黄铁矿的高硫煤的利用提供指导。     

拟线性微分代数方程的标准形

讨论了拟线性微分代数方程在一类特殊的奇点-拟障碍点附近的标准形.通过矩阵广义逆理论,拟线性微分代数方程可化为半显式形式.然后运用标准形理论,在微分同胚变换下,给出了拟线性微分代数方程在拟障碍点附近的标准形.在此基础上进一步讨论了这类标准形的去奇异化性质.     

二次李三系的分解定理

有限维李三系称为二次的,如果它容许一个非退化的不变对称双线性型.无论是李三系分解为不可分解理想的直和,还是二次李三系分解为不可分解非退化理想的正交直和,证明了这两类分解在同构意义下都是唯一的.     

复空间形式中常数量曲率的完备全实伪脐子流形

设CNnc是具有常全纯截面曲率c(≤O)的复n维的复空间形式,Mn是CNnc中常数量曲率的完备全实伪脐子流形,R,‖h‖2分别表示Mn的标准数量曲率和第二基本形式模长的平方.假设R≥c/4.利用丘成桐的广义极大值原理和自伴随算子研究了关于‖h‖2的pinching问题,得到了两个Mn成为全测地或全脐的刚性定理.     

Graphs whose critical groups have larger rank

The critical group C(G) of a graph G is a refinement of the number of spanning trees of the graph and is closely connected with the Laplacian matrix. Let r(G) be the minimum number of generators (i.e., the rank) of the group C(G) and β(G) be the number of independent cycles of G. In this paper, some forbidden induced subgraphs are given for r(G) = n − 3 and all graphs with r(G) = β(G) = n − 3 are characterized.