辛

The computational electromagnetics have been developed rapidly with the emergence of new schemes in numerical mathematics and physics in recent years.

辛算法在时域电磁散射计算中的应用辛算法，辛P

PE-RT is referred to as the Polyethylene Raised Temperature, it is by the ethylene monomer and 1 - octene copolymer from monomers is specifically designed for the heating system of medium-density ethylene - octene copolymer, which has a narrow molecular weight distribution , octene uniformly distributed in the polymer main chain on the special molecular structure, it retained the original PE performance and processing properties of the health advantages, but also strengthen the durability of a new type of high-temperature resin pipe.

PE-RT是Polyethylene Raised Temperature的简称，它是由乙烯单体和1-辛烯单体共聚而成的，是专门为采暖系统而设计的中密度乙烯－辛烯共聚物，其具有分子量分布狭窄，辛烯均匀分布在聚合物主链上的特殊分子结构，它既保留PE原有的卫生性能及加工性能等优点，又强化了高温耐久性的一种新型管材专用料。

In the symplectic system of plane elasticity in rectangular coordinates, by separating variables and abandoning the homogeneous boundary condition, the symplectic solution of a rectangular beam subjected to distributed load in a power function form is obtained.

在弹性力学平面直角坐标辛体系中，采用分离变量法，放弃齐次边界条件，得到了矩形梁侧边受幂函数形式分布荷载问题的辛解答，给出了这类问题在辛体系中的一般解法，分别对矩形梁受法向和切向分布荷载的问题进行了求解，显示了此方法的有效性。

ABSTRACT This dissertation is devoted to studying the numerical methods for the forced Birkhoff systems with general symplectic geometric structure or Poisson bracket, including higher dimensional Birkhoff systems with multi-symplectic structure.

这篇文章着重研究一般辛结构下受到外力作用的Birkhoff系统的几何结构和几何算法，包括定义高维Birkhoff系统的概念，和研究它的多辛几何和多辛变分积分子。

Bromooctane was synthesized from potassium bromide(by-product of synthesizing 2-hydroxy-4-octyloxybenzophenone) and n- octanol using concentrated sulfuric acid as a catalyst.

以生产2-羟基-4-正辛氧基二苯甲酮的副产物溴化钾和正辛醇为原料，浓硫酸为催化剂，合成了溴代正辛烷。

In this paper,focusing on the symplectic manifolds,we discuss the Seiberg-Witteninvariants,some basic construction.the existence of symplectic forms,and the existenceof Riemannian metric of positive scalar curvature.

本文主要围绕辛流形，讨论其Seiberg-WItten不变量、辛流形的一些基本构造，辛形式的存在怀及其上是否存在具有正数量曲率的黎曼度量等问题而展开的。

The third chapter first deals with Schlesinger\'s political career and his reflection of the role of intellectuals in society and the relation between academic and politics, which promoted Schlesinger to be realistic in academic research, and then study Schlesinger\'s main works in later stage of his career on this basis.

第三章首先考察了小施莱辛格的从政生涯以及他对知识分子的社会作用、学术与政治关系等问题的思考与认识过程，指出对这些问题的思考促使小施莱辛格在学术取向上更为贴近社会现实，在此基础上分析解读了小施莱辛格学术生涯后期的主要成就。

Under the frame of Hamiltonian, the propagation of seismic wave is a symplectic group transformation with one parameter and consequently, the numerical calculation methods of the propagation ought to be symplectic method.

在哈密顿表述下，地震波标量方程描述的波场随时间的演化过程为波场在单参数辛群作用下的变换过程。因而在计算地震波场随时间的演化时，为保持系统的辛性质，应采用辛几何算法。

And local coordinate representations of left invariant symplectic structure and symplectic left invariant vector field on the Symplectic-Lie group are given.

还给出了辛李群上左不变辛结构和辛左不变向量场的局部坐标表示。

In chapter 1, we introduce the background of symplectic and multisymplectic algorithms, and review the preliminary knowledge about the symplectic space.

本文第一章对辛和多辛算法的相关背景作了简单介绍，对辛空间的基本知识作了简要的回顾。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。