查询词典 dynamic condition

The main tool is the notion of the Lipschitz condition with positive non-decreasing integrable function L-average along the piecewise geodesic which includes theclassical Lipschitz condition as well as theγ-condition as special cases.

同时，我们在研究中引入了沿着分段测地线的关于取正值非减可积函数L-平均的Lipschitz条件的概念，从而把流形上的Kantorovich定理及Smale理论统一起来研究。

The first chapter, main instead " duo-ring " condition of " every maximal left ideal is GW-ideal " condition,study strongly regularities of GP-V-ring on this condition.lt is shown that (1) R is strongly regular iff R is left GP-V-ring whose maximal left ideals are GW-ideal.(2)R is strongly regular iff R is left GP-V-ring whose maximal right ideals are GW-ideal. The second chapter, generalize some results of GP-V-ring to GP-V-ring, discuss regularity of GP-V-ring.It is shown that (1) R is left self-injective regular with non-zero socle iff R is left GP-V -ring with Soc = Soc and R contains an injective maximal left ideal.(2)R is regular ring and every maximal essential left ideal is ideal iff R is left GP-injective left GP-V -ring and every maximal essential left ideal is ideal.

第一章主要将"duo-环"条件替换成"每一极大左理想是GW-理想"条件，研究在此条件下，GP-V-环的强正则性，证明了：(1)R是强正则环当且仅当R是左GP-V-环且R的每一极大左理想是广义弱理想；(2)R是强正则环当且仅当R是左GP-V-环且R的每一极大右理想是广义弱理想，第二章，主要将GP-V-环上一些结果推广到GP-V′-环上，讨论GP-V′-环的正则性，证明了：(1)R是左自内射正则环且Soc≠0当且仅当R是包含内射极大左理想的GP-V′-环，且Soc=Soc；(2)R是正则环且每一极大本质左理想是理想当且仅当R是左GP-内射的左GP-V′-环且每一极大本质左理想是理想。

The main body of a book have analysed a generator losing the magnetism physics process , have given a generator out the fundamental equation losing the magnetism queen; By using simulated module of electric system in Matlab/Simulink,build a single infinity system emulation model , have included module such as generator , excitation system , transformer , idle work power source , circuit loads , infinity system , transmission line; Lose magnetism condition two kinds specifically for the excitation winding loses magnetism and the part completely losing magnetism, lower emulation having carried out different working condition, have gained machine holding stater voltage , have encouraged the magnetoelectricity stream , excitation voltage and output having performed meritorious service power wave form change condition; By simulated wave form of contrast , to every electricity amounts, change law has carried out theoretical analysis.

本文分析了发电机失磁的物理过程，给出了发电机失磁后的基本方程；通过使用Matlab/Simulink中的电力系统仿真模块，建立一个单机无穷大系统仿真模型，包括了发电机、励磁系统、变压器、无功电源、线路负载、无穷大系统、输电线路等模块；针对励磁绕组完全失磁和部分失磁两种失磁情况，进行了不同工况下的仿真，获得了机端定子电压、励磁电流、励磁电压和输出有功功率波形的变化情况；通过对比仿真波形，对各电气量变化规律进行了理论分析。

The result showed that,if only the necessary but insufficient condition,the equilibrium condition ,was adopted to deal with the infinite uncertain boundary condition,the solution to the stress was non-unique due to the fact that the boundary problem here was a mal posed mathematic problem.

通过两个典型的半无限体实例，对水平表面作用无限均布压力下弹性地基的应力和位移解答进行研究，结果表明：对边界条件不明确的无限边界仅采用解答的必要非充分条件——平衡条件来等效处理，其应力解答不是唯一的，因为此时该边值问题不是一个适定的数学问题。

By applying game theory and contraction mapping theorem, a sufficient condition for the existence and uniqueness of Nash equilibrium in a multi-person non-cooperative game is proposed. Another implication in the sense of game theory is presented for the stability condition of supply-demand equilibrium in traditional economic theory. It can demonstrate the stability condition for supply-demand equilibrium in economic theory. So the stable supply-demand equilibrium of cobweb model in economics is in fact equivalent to the Nash equilibrium in game theory. That is a brand-new explanation for the conclusion in traditional economic theory.

应用博弈论中的有关理论与压缩映象定理寻求一类多ISP非合作对策纳什均衡存在、唯一的充分条件，给出了传统经济理论中供求均衡稳定性条件的对策论意义，证明了经济理论中的供求均衡稳定性条件；说明了经济学中蛛网模型的稳定供求均衡实际上就是对策理论中的纳什均衡，从而给出了传统经济理论中关于这一结论的新解释。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utility function are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

This paper study the character and application of the solution of BSDE, the main results include: for the second kind of BSDE, the existence and uniqueness of the solution under non-Lipschitz condition, comparison theorem and stability are established , under weaker condition , the existence of the minimal and maximal solution is proved and the application in stochastic control and utility function is given; for the first kind of BSDE, under weaker condition , the existence of minimal and maximal solution .stability, comparison theorem and application to utilityfunction are proved.

本文研究倒向随机微分方程解的性质及其应用，主要结果有：针对第二类方程，讨论了在非Lipschitz条件下倒向随机微分方程解的存在唯一性，比较定理及稳定性等，在更弱条件下，得到了倒向随机微分方程的最大解和最小解的存在性，在此基础之上，给出了在随机控制及效用函数方面的应用；针对第一类方程，同样在较弱条件下，证明了方程最大、最小解的存在性、稳定性、比较定理及其在效用函数的应用。

This article first introduced the Lagrange multiplicator law and the development, have given the function of many variables condition extreme value essential condition, and solved the function of many variables condition minimum problem using it.

本文第一介绍了拉格朗日乘数法及其拓展，给出了多元函数条件极值的必要条件，并利用它求解了多元函数的条件极值问题。

Second order differential inclusion; boundary condition; usc multivalued map; fixed point; monotone map; Yosida approximation; solution tube; upper-lower solutions; critical point; PS-condition; C-condition; Sobolev space

基础科学，数学，数学分析二阶微分包含；集值边界；上半连续集值映照；不动点；单调算子； Yosida逼近；解管道；上下解；临界点； PS-条件； C-条件； Sobolev空间

P×P and P were two major non-Bayesian algorithms. 6 Less than 25% of the participants used frequency. In those who got other results except P , much more people used probability. Experiment 2 had a randomized multigroup posttest design. There was only one factor named implied condition which had five levels: not imply, imply P, imply addition, imply division and imply all. The results showed that: 1 All the implied conditions significantly improved the participants' performance. When under the condition of implying division, the participants derived the best results. 2 31.9% of the participants got correct answer, 73% of who used frequency to rewrite the information. 3 78% of the participants could apply one or several of the four concepts: probability of "not the event", multiplication rule, addition rule and condition probability.

结果表明：1 被试的估计受问题内容的影响，权威型问题情境容易使被试高估，非权威型问题情境使被试的高估现象大大减少；数据结构和提问形式对被试估计不产生影响。2 有近5%的被试能正确估计P，其中 73%使用频数对信息进行再表征。3 贝叶斯推理中各分步骤的困难程度由低到高分别是：乘法、P、加法、除法。4 有50%的被试能运用对立事件概率、概率乘法、概率加法、条件概率这四个概念中的一种或者几种。5 使用最多的两种非贝叶斯算法是P×P和P。6 不到25%的被试使用频数；求得除P以外各类结果的被试中，使用概率的人数远多于使用频数的。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。