查询词典 unique solution

When the solution for the linear equation is not unique, this thesis discusses the solution space of homogeneous equation and gives an orthonormal system, which yields all solutions of linear equation.

同时在再生核空间W_2~1中给出了一种求解该问题的稳定数值算法。对实际数据用该算法进行数值模拟，并与以前的工作相比较，得到了较好的结果。

Now by using Dai's exact solution formula and studying the asymptotical behavior controlcondition and using the series expression of the famous Riemann Zeta-function in number theory,after introducing and proving a new representation theory of inverse Laplace transformation wedirectly obtained Chen's solution formulae and their unique existence condition without usingLaplace transformation and〓 inverse formula.

本文从带消发散参数的严格解出发，通过研究渐近行为控制条件，利用数论中著名的Riemann-Zeta函数的级数表示，引入并证明一个逆Laplace变换的新的表示定理，直接导出了陈等发展的级数解，并得到了级数解的存在、唯一性条件。

The equation satisfies the transient distribution of the waiting time W is obtained, to which the minimal nonnegative solution is the unique bounded solution.

给出等待时间W的瞬时分布所满足方程，并证明它为该方程的最小非负解，也是唯一有界解。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

In each kind of battery solution servosystem, the battery solution servosystem which is composed by the PWM solenoid valve, has many unique merits.

在各种电液伺服系统中，由PWM电磁阀组成的电液伺服系统，具有许多独特的优点。

I wanna say that in all situation Jesus is the unique solution for our problem and we must ask him what we can do and I think that we will got a solution for that.

我认为，在所有情况万耶稣是独一无二的解决我们的问题，我们必须问他有什么可以做的，我认为我们将得到解决。

The main goal of the thesis is to study such some problems as theexistence of weak solutions of quasilinear elliptic equations involvingcritical Sobolev exponents on a bounded domain and〓,the unique-ness of weak solutions、regularity of weak solutions、stability ofweak solution on exponent p、continuity of very weak solutions ondomains、the fusion problem of weak solutions and the existenceof minimal positive solution of a class of quasilinear elliptic obstacleproblems,which have been extensively concerned,but have not beensolved satisfactorily in the latest several years.

本文主要对近年来人们普遍关注而又没有完全解决的几个问题——有界域及无界域上带临界增长的拟线性椭圆方程弱解的存在性，弱解、很弱解的唯一性、正则性，解关于区域的连续依赖性，解关于指数的稳定性，弱解、很弱解的合并问题，以及椭圆型偏微分方程对应的障碍问题极小正解的存在性等进行研究。

In addition, the unique optimal approximation solution $\\\\\\\\\\\\\\\\hat X$ to given matrix $X_0 $ in Frobenius norm can be derived by finding the least-norm generalized bisymmetric solution $\\\\\\\\\\\\\\\\widetilde X^\\\\\\\\\\\\\\\\ast$ of the new matrix equation $A\\\\\\\\\\\\\\\\widetilde X B=\\\\\\\\\\\\\\\\widetilde C$, here,$\\\\\\\\\\\\\\\\widetilde X=X-X_0$, and $\\\\\\\\\\\\\\\\widetilde C=C-AX_0B$.

另外，对于给定矩阵X_0的最佳逼近解$\\\\\\\\\\\\\\\\hat X$，可以通过求解新的矩阵方程$A\\\\\\\\\\\\\\\\widetilde X B=\\\\\\\\\\\\\\\\widetilde C$得到，其中$\\\\\\\\\\\\\\\\widetilde X=X-X_0$，$\\\\\\\\\\\\\\\\widetilde C=C-AX_0B$。

The result "If X is a solution of a categorial equation, then there exists an unique essential solution Y such thatY X"makes it possible that the essential catgories of a word could generate all possible syntactic categories by some deductive rules.

定理&对于范畴方程的任意一个解x，都存在唯一的本质解Y使得Y x&使得我们可以通过一定的演绎规则对词w的本质范畴作扩张以得到w的所有句法范畴。

This UV-barrier solution enables the group to add a new function to Sleever and further enhance this unique and innovative decorative solution that is capable of evolving in line with the changing needs of the beverages market.

这种紫外线阻隔解决方案使该集团增加一个新的功能， Sleever ，并进一步加强这种独特的装饰性和创新性的解决方案，能够不断发展符合不断变化的需求的饮料市场。

"The operators will suffer a temporary decrease in the number of consumers and short message services as people may not like having to provide their ID cards for a phone number," Xu Junqi, vice-dean with the Policy-Making Institute of the Telecommunications Research Centre under MII, said yesterday.

信息产业部下属的通信决策研究院副主任徐俊其昨天说：&实行手机实名制后，人们可能不太情愿用身份证注册手机号，所以通信运营商会暂时面临用户减少和短信用户减少的问题。&

I don't believe in make-believe!

我不相信这些虚构的故事。