查询词典 uniqueness condition

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

The uniqueness of solution of field point, inside a convex region due to singular source with kernel function decreasing with distance increasing, outside-region-distribution such that the boundary condition expressed by the response of the source is satisfied, is proved by using the condition of kernel function decreasing with distance increasing and an integral inequality.

应用奇源解的核函数沿距离递减的条件和积分不等式，可证这类奇源在凸域外分布只要满足以它产生的响应来表达的边界条件时，所引起相应的域内场点解是唯一的。

In this paper, the theoretical analysis of matrix's triangular decomposition is mainly discussed, including such as the necessary and sufficient condition of uniqueness of existence in matrix's triangular decomposition,the necessary and sufficient condition of existence and so on.

本文主要对矩阵的三角分解理论分析作了比较全面的统述，它包括矩阵三角分解存在唯一性的充要条件、存在性的充要条件、存在性的充分条件等。

System of calculation of number of boxes of spars for mechanic was improved, and now many factors will be taken into consideration: price, uniqueness, condition (if the item is in very poor condition you'll receive fewer points, if good - more points, and if the average - the usual number of points ), and presence of the SGM achievement "Mechanic Assistant".

数字系统的计算对机械进行了改进棒材的盒子，现在有很多因素需要考虑：价格，独特性，条件（如果该项目在十分恶劣的条件是你将获得较少的点，如果好-更多的积分，如果平均-通常的积分数），新成就"技工助手"

As a limited domain is concerned, since the boundary condition limits the uniqueness of the solution of stream function, velocity potential and the partition of wind field, it is important to reduce or eliminate the effect of boundary condition uncertainty.

所以减小或消除边界的不确定对结果的影响是有限区域流函数和速度势计算及风场分解最重要的问题。

Since the lengths of the line segments and the angles between line segments are treated as representation parameters, it is convenient to construct energy function and to deal with displacement and length constraints. Based on this advantage, a parametrical model for human body is proposed, which can easily produce human body models with different feature sizes. The above method is just suitable for polylines. Therefore, a generic deformation method for both discrete curves and surfaces is presented. The energy function is constructed by analyzing the relationship of the points before and after deformation. Together with the displacement constraints, the deformation problem is converted to a convex quadratic programming. A necessary condition for constraint points and a sufficient condition for the uniqueness of solution are given. The proposed method can be combined with skeleton-driven animation to control the deformation.

将线段长度与线段之间的角度作为表示参数，既有利于能量函数的构造，又便于处理位移约束和长度内蕴约束条件，利用这一优势，将其应用于三维人体的参数化建模，可以方便地产生具有不同特征尺寸参数的人体模型，由于这种方法只适用于折线变形，具有较大局限性，因此，本文进一步提出一种较通用的离散曲线曲面变形方法，通过分析变形前后的位置关系来构造能量函数，再加上位移约束条件，将变形问题转化为一个凸二次规划问题，并且给出了约束点应满足的必要条件及模型解唯一的充分条件，这种方法还可以与骨架驱动变形的思想相结合，能更好的控制变形。

Firstly, the lake water quality model is developed under the condition of both internal and external pollution by using the method of microelement analysis, then homogenizes the non-cylindrical boundary condition and utilizes the methods of vector expending and pseudomonotone of the variational operator, and last the existence and uniqueness of the solution for a type free initial-boundary value problem is obtained.

本文首先运用微元分析法导出在外源和内源双重污染下湖泊水质模型，然后对一类自由初边值问题通过对非柱形边界条件的齐次约化，运用变分型算子的向量扩张和拟单调方法获得解的存在性、唯一性。

We have also presented the ω-circulant boundary condition and compared it with the helix boundary condition. Furthermore, we can also get another new boundary condition: the mixed boundary condition.

由此我们提出了ω循环型边界条件并将其与普通循环型及螺旋型边界条件作了分析和比较；进一步地，得到了一种新的边界条件：混合型边界条件。

Our study contained three sub experiments: First, we looked into the music perception neural mode under the u...更多n-attention condition, then pre-attention condition, and attention condition at last. It suggested that:1. Similar to the past studies, ERAN was also acquired when irregular chords was played to both music experts and ordinary persons, with the former swings larger than the latter ones, and the former delitescence earlier than the latter ones.2. N5 was also acquired in the same condition, and it reflected the conformity process of music perception. The swings of experts' N5 were lager than the ordinary ones, and delitescence earlier.

本研究分为三个实验进行：实验一即在非注意实验条件下进行音乐感知能力的研究；实验二即在前注意实验条件下进行音乐感知能力的研究；实验三即在注意实验条件下进行音乐感知能力的研究，研究结果表明：1类似于前人的研究，不规则和弦在音乐专家和普通人中都产生了右前负极性，音乐专家的ERAN比普通人的振幅更大，潜伏期更早。2伴随着ERAN，不规则和弦在音乐专家和普通人中还产生了晚期负极成分(简称N5)，它反应了音乐的整合。

The paper fristly compared the fertile soil with the incinerated sterile soil on the number of micro-algae , soil pH value , soil organic matter soil available phosphorus and soil nitrogen.And then, the author put fertile soil, which included micro-algae, proportionally into sterile samples and cultivated them respectively under illumination condition (micro-algae can live and reproduce)and dark condition(micro-algae will die in some time).The above indices were measured in 0, 30, 60 and 90days respectively, The analyse of the interrelation between the change of micro-algae"s number and the changes of soil pH value, soil organic matter, soil available phosphorus and soil nitrogen indicated:Soil micro-algae which were native to fertile soil conld adapt to the changed circumstance and light acted as a decisive role to the distribution of soil micro-algae.Under dark condition,the micro-algae"s number declined gradually and went to zero in the end,while under illumination condition ,on the 90th day, the micro-algaes number of per gramme was 6-7 times more than that of the beginning.

本文首先对肥沃土壤与经高温焚烧后的贫瘠土壤中的微藻数量、土壤pH值、有机质含量、有效磷含量和全氮量进行比较研究，然后将包含微藻的绿化苗圃地肥土按不同比例接种进入贫瘠土样中，分别在光照条件和黑暗条件下进行培养，在0天、30天、60天和90天分别检测以上指标，比较有光条件和无光条件下，即有藻条件和无藻条件下贫瘠土样所发生的变化，并分别对微藻数量的变化与土壤pH值、有机质含量、有效磷含量和全氮量的变化之间做相关性分析，以评估肥沃土壤中的微藻接种进入贫瘠土壤后的生长情况以及对贫瘠土壤的改良作用。

In contrast to the ubiquitous rising-sun-with-rays military flag of the Japanese, Chinese banners and ensigns feature a range of designs.

与遍地都是的太阳军旗不同，中国人的旗帜和徽章设计得各式各样。

From their small corner of Feng's Guangzhou headquarters -- a jumble of pink leashes, squeezable rubber steaks, and plastic doggy Santas for Fido's stocking -- Soleil's designers come up with at least five new products a month.

从Feng 设在广州总部的产品展示柜台上可以看到，Soleil的设计师每月至少设计出5件新产品。