Some applications of Banach algebra techniques

We consider some functional Banach algebras with multiplications as the usual convolution product * and the so‐called Duhamel product ?. We study the structure of generators of the Banach algebras (C⁽ⁿ⁾[0, 1], *) and (C⁽ⁿ⁾[0, 1], ?). We also use the Banach algebra techniques in the calculation of spectral multiplicities and extended eigenvectors of some operators. Moreover, we give in terms of extended eigenvectors a new characterization of a special class of composition operators acting in the Lebesgue space L^p[0, 1] by the formula (C_φf)(x) = f(φ(x)).     

Exploring human rhythmic gait movement in the role of cerebral cortex signal

The rhythmic movement is a spontaneous behavior due to the central pattern generator(CPG).At present,the CPG model only shows the spontaneous behavior,butdoes not refer to the instruction regulation role of the cerebral cortex.In this paper,a modified model based on the Matsuoka neural oscillator theory is presented to better show the regulation role of the cerebral cortex signal to the CPG neuronal network.The complex interaction between the in put signal and other parameters in the CPG networkis establish...     

磁流体压缩管道热电磁流动特性研究

利用磁流体五波模型对低磁雷诺数下压缩管道中磁流体流动进行数值模拟。该模型由带有电磁作用强制项的Navier-Stokes方程组与电势Poisson方程组成,数值格式分别采用严格保证熵条件的熵条件格式和中心差分格式。数值模拟对不同磁作用数下的不同几何外形管道进行数值模拟研究,结果表明在磁流体压缩管道中,由于发生器模式提取...     

The Even Part of Finite-Dimensional Modular Lie Superalgebra Г

Let F be the underlying base field of characteristic p ＞ 3 and denote by Γō the even part of the finite-dimensional Lie superalgebra Γ.We give the generator sets of the Lie algebra Γō.Using certain properties of the canonical tori of Γō,we describe explicitly the derivation algebra of Γō.     

大功率单脉冲超声信号发生器的设计

为了提高探伤深度,实现混凝土大坝等散射强介质的超声检测,本文提出了一种成本低,小体积,结构简单的大功率单脉冲超声信号发生器,并给出了原理电路设计。所述装置利用控制电容充放电经脉冲变压器产生瞬时高压脉冲的新思路,克服了过去由于信号幅度限制功率上不去的困难。经实验验证该装置与现有的单脉冲信号发生器相比,探伤深度得到了很大提高,可用于混凝土结构构建的超声探伤。     

氘结合能的测量

介绍了以Ｄ－Ｄ密封中子发生器中为子源，利用质子俘获慢中子发射γ射线的核反应＾１Ｈ（ｎ，γ（）＾２Ｈ，用通用ＮａＩ（Ｔｉ）闪烁γ谱仪测量γ射线能量来确定氘结合能。实验结果与公认值相符合．     

离子色谱电导检测法测定酒中的有机酸和无机阴离子

采用淋洗液发生器-抑制电导检测法,同时分离和检测16种无机阴离子和低分子量有机酸,建立了用亲水性阴离子交换分离柱,KOH为淋洗液等浓度泵作梯度淋洗的离子色谱分离方法. 该方法具有良好的重现性、线性关系. 除马来酸外,所有被测离子的检测限都在0.16 mg/L以下. 方法用于测定4种酒样品的分析,结果满意.样品测定的回收率在93.52%到116.08%之间,除富马酸外其它RSD都小于3.8%.     

一种生成对称群S9所有Sylow-p子群的算法

根据对称群的基本性质以及第二同构定理，给出了通过添加生成元到P群来构造对称群的一个Sylow-p子群的定理，添加的生成元保证能够快速得到对称群的一个Sylow—p子群．根据第二西洛定理求出了所有共轭子群，即所有Sylow-p子群．针对求所有共轭子群过程中面临共轭子群出现重复的问题，利用正规化子的性质，找到使得两个Sylow-p子群共轭的元，保证每次求的Sylow-P子群不重复．将此算法应用于S1，实验表明该算法可操作性强，耗费时间少．     

n阶全矩阵环(代数)的极小生成集

证明了下面的结论：１．若Ｒ是有单位元１的环，则Ｍｎ（Ｒ）作为环与Ｒ－模可由两个元生成；２．设Ｆ是域，Ｍｎ（Ｆ）作为Ｆ－代数可由两个元生成，且Ｍｎ（Ｆ）的任意非中心元皆可作为极小生成集中的一员；３．设Ｆ是特征为零的域，则Ｍｎ（Ｆ）的上三角矩阵子代数可由两个元生成     

Limit theorem and uniqueness theorem of backward stochastic differential equations

This paper establishes a limit theorem for solutions of backward stochastic differential equations (BSDEs). By this limit theorem, this paper proves that, under the standard assumption g(t,y,0) = 0, the generator g of a BSDE can be uniquely determined by the corresponding g-expectationεg;this paper also proves that if a filtration consistent expectation S can be represented as a g-expectationεg, then the corresponding generator g must be unique.