查询词典 level condition

Furthermore, replacing the local Lipschitz condition by the global Lipschitz condition, the same conclusion is obtained, that is to say, the Euler method is strong convergent under the global Lipschitz condition.

进一步，将局部Lipschitz条件换成全局Lipschitz条件，结论也成立，即欧拉方法在全局Lipschitz条件下也是强收敛的。

Experiment results indicate the more desirable orange-pomace bread can be produced if the orange pomaces are not washed in water, the sample is oven-dried and the particle diameter distribution of the orange pomaces in use is less than 250 μm. Due to the fact that the water-absorption ability of orange pomaces is strong, we may want to mix pomaces with the oil of the recipe first during the process of making orange-pomace bread and add the mixture later to the formation of the structure of gluten. Under the condition that orange pomaces account for 14% of the ingredients, the adjusted optimal condition calls for extra 2% of oil, 3% of water and 4% of gluten, the amount of yeast is increased to 2% and the fermentation time is 2 hours. The orange-pomace bread made under this condition has a specific volume of 5.19 cm3/g and receives a rating of 9.5 point. It is close to the American-style sweat bread of the control group. It is also found that the addition of orange pomaces can help slow down the rise in hardness, gumminess and chewyness of the bread during the time it is in storage.

实验结果显示，柳橙果渣於制备过程不经过清水漂洗、利用烘箱乾燥样品、使用粒径分布尺寸小於250 μm之柳橙果渣对於制作柳橙果渣面包有较理想之结果，另外由於柳橙果渣吸水性强，於制作果渣面包时需将柳橙果渣先与配方中之油脂混合，待面团搅拌成筋后再加入。14%柳橙果渣添加量下，配方上调整的最适条件为额外添加2%油脂、3%水量、4%面筋，并将酵母量增加为2%，发酵时间为2 h，所制作出之柳橙果渣面包比体积为5.19 cm3/g，评分为9.5分，接近控制组美式甜面包，并且发现添加果渣制作面包可以减缓面包於储藏期间硬度、胶性度、咀嚼度上升之程度。

The main tool is the notion of theLipschitz condition with positive nondecreasing integrable function L-average along thepieces one-parameter subgroup which includes the classical Lipschitz condition as well as theγ-condition as special cases.

我们在研究中引入沿着任意段单参数子群的关于取正值非减可积函数L-平均的Lipschitz条件。从而把李群上的Kantorovich定理及Smale理论放在统一的形式下进行研究。

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。

Foods high in this vitamin include oily fish such as salmon, tuna and, and fish liver oils.

维生素D含量高的食物包括诸如大麻哈鱼、金枪鱼和鲭鱼之类的油鱼以及鱼肝油。

We need you to cosign our public letter demanding that press intimidation cease immediately, and that all charges be dropped.

我们需要您cosign我们的公共信，要求记者立即停止恐吓，并要求所有收费下降。