关于二重极限的某种定义的一个注记

本文考虑二重极限的某种定义的缺陷.     

格林公式的教学探究

首先通过一个热点问题和两个计算题引出学习格林公式的目的和必要性,迅速抓住学生的兴趣点,从第二型曲线积分入手,通过逐步分析操作给出前提条件,并最终得到公式,打破了书上的传统推导模式.     

双水平井电磁测距径向距离计算方法研究

基于旋转磁场测距(RMRS)的基本理论与方法,在考虑磁源尺寸的条件下,首先推导出旋转磁源周围空间磁场分布规律,然后根据磁信号的轴向分量推导出双水井径向距离的计算方法,最后在此基础上通过仿真和实验提出了磁偶极子模型成立的前提条件。研究表明,探管与磁源的距离大于10倍磁源尺寸时,磁偶极子模型是适用于RMRS系统的;探管与磁源的距离小于10倍磁源尺寸时,径向距离的计算方法能够确定注汽井和生产井的水平段间距,对双水平井导向钻井磁测距计算方法作了进一步完善,为此导向仪器的研究提供了理论参考。     

二重自由构形导子基的一个算法

讨论了二重构形的自由性。给出了计算二重自由构形导子基的一个算法,从定义二重超平面构形的线性形式的系数,构造出有限个齐次线性方程组,由这些方程组的基础解系构造有限个导子,从中选出无关导子构成导子基。计算了平面上不多于五条线的线构形的自由性和自由时的导子基     

浅谈英语学习中的误区及其对策

在多年的英语教学中发现,许多学生在英语学习过程中,功夫没少下,效果不理想,形成“学生很吃力,老师不高兴,家长不满意”的怪圈,但就是找不到问题所在。文章从中学生在学习英语过程中容易走入的五种常见误区入手,对误区产生的原因做了详尽的分析,在此基础上,明确学习方法,并提出切合实际的解决办法,从而引导学生走出误区,提高学习效率,达到“事半功倍”的效果。     

改进的LOFDM系统实现方法

利用网格正交频分复用(LOFDM:Lattice O rthogonal Frequency D ivision Mu ltip lexing)可使系统的频谱利用率比采用脉冲成形OFDM(O rthogonal Frequency D ivision Mu ltip lexing)技术时更高,但带来实现上的复杂化。为此,在对LOFDM信号结构进行分析的基础上,给出了LOFDM系统调制解调器的有效实现。该方法先利用信号的反傅立叶变换(IFFT:Inverse Fast FourierTransform),可方便地分解出奇偶下标信号的反傅立叶变换的特点,把LOFDM系统的实现简化为一个脉冲成形OFDM系统的实现,再参考脉冲成形OFDM系统的有效实现方法,从而简化了系统结构。与已有方法相比,在成形脉冲是实序列时,计算量上,每个LOFDM符号周期减少4(Lg-N)次实乘和4Lg-6N实加;存储量上,发送端和接收端从分别存储两个长Lg的成形脉冲减少为发送端存储一个长Lg的成形脉冲,接收端存储一个长Lg的成形脉冲和一个长N/2的序列e-j2πn/N。     

Strong embeddings of minimum genus

A “folklore conjecture, probably due to Tutte” (as described in [P.D. Seymour, Sums of circuits, in: Graph Theory and Related Topics (Proc. Conf., Univ. Waterloo, 1977), Academic Press, 1979, pp. 341-355]) asserts that every bridgeless cubic graph can be embedded on a surface of its own genus in such a way that the face boundaries are cycles of the graph. Sporadic counterexamples to this conjecture have been known since the late 1970s. In this paper we consider closed 2-cell embeddings of graphs and show that certain (cubic) graphs (of any fixed genus) have closed 2-cell embedding only in surfaces whose genus is very large (proportional to the order of these graphs), thus providing a plethora of strong counterexamples to the above conjecture. The main result yielding such counterexamples may be of independent interest.     

Double Hall algebras and derived equivalences

We show that the reduced Drinfeld double of the Ringel-Hall algebra of a hereditary category is invariant under derived equivalences. By associating an explicit isomorphism to a given derived equivalence, we also extend the results of Burban and Schiffmann [5] and [006], Sevenhant and Van den Bergh (1999) [25], and Xiao and Yang (2001) [31].     

A geometric realization of quantum groups of type D

We geometrize quantum groups of type D in the spirit of Beilinson et al. (1990) [1].     

Solutions for the double Sine‐Gordon equation by Exp‐function,Tanh, and extended Tanh methods

In this work, we implement some analytical techniques such as the Exp‐function, Tanh, and extended Tanh methods for solving nonlinear partial differential equation, which contains sine terms, its name Double Sine‐Gordon equation. These methods obtain exact solutions of different types of differential equations in engineering mathematics. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010