(h,φ)-方向导数与(h,φ)-次梯度

首先根据Ben-Tal广义代数运算定义了一类(h,ψ)-方向导数并得到了它的一些基本性质,然后在(h,ψ)-方向导数概念的基础上定义了(h,ψ)-次梯度与正则弱(h,ψ)-Lipschitz函数,讨论了它们的一些相关性质.从得到的结果可以看出:(h,ψ)-方向导数与(h,ψ)-次梯度推广了以往的广义方向导数与次梯度的概念,且能够互相刻画彼此的性质;对于某些函数无法用Clarke广义梯度研究时,可以用(h,ψ)一次梯度来研究;正则弱(h,ψ)-Lipschitz函数的概念推广了可微函数与凸函数概念.     

Direct - Torque, Neuro - Fuzzy Control of Induction Motor

Fuzzy systems are currently being used in a wide field of industrial and scientific applications. Since the design and especially the optimization process of fuzzy systems can be very time consuming, it is convenient to have algorithms which construct and optimize them automatically. In order to improve the system stability and raise the response speed, a new control scheme, direct - torque neuro - fuzzy control for induction motor drive, was put forward. The design and tuning procedure have been described. Also, the improved stator flux estimation algorithm, which guarantees eccentric estimated flux has been proposed.     

(n,d)-平坦模与(n,d)-余挠模

设R是一个环,n、d为两个给定的非负整数,一个R-模M称为(n,d)-平坦,若对于任意n-表示R-模Q,有TorRd+(1Q,M)=0.M称为(n,d)-余挠,若对于任意(n,d)-平坦R-模N,有Ext1R(N,M)=0.本文运用这些定义刻画了n-凝聚环.     

The new modes of Palladium - catalyzed cross - coupling, dimerization and domino - tetracyclization of boroxines, trans - 1 - Bromo - 2 - styrylbenzene, and bromodienynes. A personal Ph. D. And Postdoctoral research review

[I].Synthesisandpalladium -catalyzedcross -couplingreac tionoftris[4 - (trimethylsilyl)furan - 3-yl]boroxineandtris[4 -(substituted)furan - 3-yl]boroxine .3,4 -Disubstitutedfuransareimportantbuildingblocksofhet erocycliccompounds,inacontinuationofthestudyonpossibleroutesto 3,4 -disubstitutedfuran ,Iwasinterestedinexploringtheroleofasilylgroupasapotentialdirectinggroupbecausesilylgroupsarewell-knownfortheir ( -donatingcharacter.Theirtendencytostabilizea ( -carbocationthroughtheso -called (p - (…     

严格(h ,ψ)-η-预不变凸函数

在（h,φ）-η-预不变凸函数的基础上,利用Ben-Tal广义代数运算定义了严格（h,φ）-η-预不变凸函数,并且建立了该函数与（h,φ）-η-预不变凸函数之间的关系,得到了此函数关于目标函数的极小化问题。     

α,β,γ,δ-四-(4-磺基苯基)卟啉分光光度法测定微量锇

该文研究并建立了测定微量锇的新体系,即α,β,γ,δ-四-（4-磺基苯基）卟啉与锇的显色反应。确定了反应的最佳条件。实验证明,该法灵敏度高,稳定性好。采用三正辛胺离子交换树脂分离富集锇,对合成样及贵金属分析样进行测定,结果令人满意.     

(T,S)-凸直觉模糊集

在K.Atanassov提出的直觉模糊集的概念基础上,利用T-范数和S-范数,定义了(T,S)-凸直觉模糊集,(T,S)-直觉模糊子空间和(T,S)-直觉模糊仿射集,并讨论了(T,S)-凸直觉模糊集的一些性质,(T,S)-直觉模糊子空间和(T,S)-直觉模糊仿射集之间的关系。     

(S)-2-吡咯烷-α,α-二苯基甲醇光度法测定微量钯

研究了（S）-N-苄基-2-吡咯烷-α,α-二苯基甲醇分光光度法测定Pd^2＋的条件,在酸性介质中,用十六烷基三甲基溴化铵（CTAB）作为表面活性剂,该试剂与Pd^2＋形成的物质的比为1：2,表观摩尔吸光系数为3．94×10^3L·mol^-1·cm^-1．线性范围为9．40×10^-6～3．25×10^-4mol·L^-1,该方法用于模拟试样中微量钯的测定,结果令人满意．     

Hamilton,Sir William Rowan(1805-1865)

Irish mathematician and astronomer who developed the theory of quaternions, a landmark in the development of algebra,and discovered the phenomenon of conical refraction. His unification of dynamics and optics,moreover,has had alasting influence on mathematical physics, even though the full significance of his work was not fully appreciated until after the risd of quantum mechanics. Like his English contemporaries Thomas Babington Macaulay and John Stuart Mill,Hamilton showed     

(h,ψ)-η次梯度及其在非光滑(h,ψ)-半无限规划中的应用

首先根据Ben-Tal广义代数运算定义了(h,ψ)-η方向导数并得到了它的一些基本性质.然后根据(h,ψ)-η方向导数的概念定义了(h,ψ)-η次梯度与广义正则弱(h,ψ)-Lipschitz函数,讨论了它们的一些基本性质.最后根据关于(h,ψ)-η预不变凸函数与(h,ψ)-η预不变拟线性函数的择一性定理,得到了非光滑(h,ψ)-半无限规划的最优性条件以及使(h,ψ)-Kuhn-Tucker条件成立的一个约束品性.     

关于几何数列中的(δ,d,k)-过剩数

对于正整数n,设d(n)和δ(n)分别表示n的约数函数与约数和函数,对于正整数k,如果δ(n)＞n kd(n),则称n是(δ,d,k)-过剩数.文章证明了对于给定的正整数k,存在无穷多个无限的几何数列都是(δ,d,k)-过剩数.