浮体运动时域解的奇异性讨论

以推板造波的辐射问题为例，求出了线性时域解的解析表达式，并对线性时域解在造波板与自由面交线处的奇特性进行了讨论，给出了奇异性量阶，此奇异性结论对造波机的数值模拟有一定的指导意义。     

嵌入式系统与Internet的互连技术

通过对EMIT技术及其内核emMicro的分析，阐述了如何实现嵌入式系统与Internet的连接。并给出了一种适合8／16位微处器的嵌入式系统与Internet互连的技术方案。     

关于素环的导子

设Ｒ是一个中心为Ｃ的素环，Ｎ是Ｒ的一个非零理想。本文我们将证明下列结果：假设ｄ是Ｒ的一个非零导子使得ｄ＾２（ａ＾２）∈Ｃ对一切ａ∈Ｎ或者〔ｄ（ａ），ａ＾２〕∈Ｃ对一切ａ∈Ｎ，那么当Ｒ的特征不等于２时，Ｒ是一个交换环。我们的结果推广了文献〔２，〔４〕，〔８〕中有关素环导子的某些已知结果。     

RESEARCH ANNOUNCEMENTS——Structure of Solvable Quadratic Lie Algebras

Killing form plays a key role in the theory of semisimple Lie algebras. It is natural to extend the study to Lie algebras with a nondegenerate symmetric invariant bilinear form. Such a Lie algebra is generally called a quadratic Lie algebra which occur naturally in physics^[10，12，13]. Besides semisimple Lie algebras, interesting quadratic Lie algebras include the Kac-Moody algebras and the Extended Affine Lie algebras. In this paper, we study solvable quadratic Lie algebras. In Section 1, we study quadratic solvable Lie algebras whose Cartan subalgebras consist of semi-simple elements. In Section 2,we present a procedure to construct a class of quadratic Lie algebras, and we can exhaust all solvable quadratic Lie algebras in such a way. All Lie algebras mentioned in this paper are finite dimensional Lie algebras over a field F of characteristic 0.     

广义Kac-Moody代数的虚根

本文对广义Kao-Moody代数的根的性质作了一些研究,并完全刻划了正虚根集,在一定条件之下,得到了某一正虚根集成为半群的充要条件。     

浮体运动时域解的奇异性讨论

以推板造波的辐射问题为例，求出了线性时域解的解析表达式，并对线性时域解在造波板与自由面交线处的奇异特性进行了讨论，给出了奇异性的量阶。此奇异性结论对造波机的数值模拟有一定的指导意义。     

The singular behaviour in the vicinity of intersection between the body and free surface

The singular behaviour in the vicinity of intersection between the body and free surface is presented.It is shown that in the linear regime the singularity of velocity potential for transient problem is in d~2|nd.The singular behaviour for harmonic problem is the same as the result for the transient problem.In particular,the singularity for the harmonic problem with infinite frequency is in d~2 lnd for velocity potential(d is the distance between field point and intersection).     

可解二次Lie代数

一个带有非退化、对称不变双线性型的Lie代数称为二次Lie代数. 研究可解二次Lie代数的结构, 特别是Cartan子代数由半单元构成的可解二次Lie代数. 从上同调的观点出发给出了一种构造二次Lie代数的方法, 并证明了可解二次Lie代数均可用此方法构造.     

The Splittable Lie Algebras Whose Nilpotent Radicals are Heisenberg Algebras

ALiealgebraiscalledsplittableifboththesendshoplepartandthenilpotelltpartofitsinnerderivationarestillixmerderivations.OnecanprovethstaalgebraicLiealgebra(specially,acompleteLiealgebra)issplittable.Itseemsnaturaltoinvestigatefurtherpropertiesofthesplit...     

广义Kac—Moody代数与无限维完备Lie代数

本文引进广义Ｋａｃ－Ｍｏｏｄｙ代数的广义抛物子代数的概念，得到了广义抛物子代数完备的充要条件，这类完备Ｌｉｅ代数是无限维的。