在原始规划可行集上引入了正则的概念，并在此正则条件下，研究了更一般的概率约束规划问题的稳定性。
The concept of regularity of feasible set is presented, under the regularity condition, the stability of more general probabilistic constrained programs problems is studied.
Unicode字符集、模式内任意代码操作、flagtoggles、条件表达式以及其他特征都被添加到正则表达式库中。
Unicode character class specifiers, arbitrary code execution inside a pattern, flag toggles, conditional expressions, and many other features were added to the regular expression engine.
传统有限元的研究，要求对区域的剖分满足正则性条件。
The researches of classical finite elements need the meshes of triangulation satisfying the regular condition.
利用各向异性单元分析方法得到了二阶问题的误差估计，从而避开了正则性条件的限制。
Using the analytic method of the anisotropic element, error estimate for the second order problem is obtained without the limitation of regularity conditions.
引入对偶变量，进一步建立使问题化为在以混合变量组成的全状态辛空间中的控制正则方程和初边条件。
By introducing dual variables, the dual governing equations and boundary conditions, which are composed by mixed variables under whole state space, are obtained.
数值结果表明，在先验知识满足的条件下，近似最优参数法所找到的正则化参数是对最优正则化参数的较合理近似。
Numerical results show that 'near optimal' parameter can be considered as an acceptable approximation of optimal regularization parameter with available priori information.
本文在一个正则性条件下，给出了渐近最优EB估计的一个充要条件。
In this paper, we have given a sufficient and nfcessary condition for the asymptotic optimum EB estimate on ceatain regular condition.
考虑具有可控增长条件的非线性椭圆方程组弱解的部分正则性。
In this paper, we consider the nonlinear elliptic systems under the controllable growth condition.
本文通过群作用和正则覆盖，利用拓扑刚性定理对此问题给出一个判定性条件。
By the use of group action and normal covering we give an answer in some conditions from topological rigidity theorem in this article.
在本文条件下，我们论证正则化算子取拉普拉斯算子比取恒等算子恢复性能好，并且预测噪声能量。
And we demonstrate that Lapalacian operator is better than identity operator in the condition of this paper, predict the noise energy.
在系统具有正则无穷远极点和奇异无穷远极点的条件下，得到了系统状态向量的均值、方差阵及协方差阵的计算公式。
The state vectors expectation, variance and covariance matrices are given under the conditions of the systems with regular infinite extreme point and singular infinite extreme point.
XML查询包含内容查询和结构查询，其查询条件可表示为简单路径表达式(SPE)和正则路径路径表达式(RPE)。
XML query includes content query and structural query. The query condition can be represented as a simple path expression (SPE) or a regular path expression (RPE).
第四章我们首先证明了算法是有定义的，其次在没有正则性条件的假设下证明了算法的全局收敛性。
We prove that the algorithm is well defined and the global convergence of method is obtained without regular conditions.
正则化图像恢复是条件约束的最优化问题，而小波系数的贝叶斯统计选择是基于图像的随机场观点。
A regularized image restoration is the optimization for some conditional constraint, and the selection of wavelet coefficients based Bayesian statistic is on the image random field view.
在系统是正则束及能稳和能检测的前提下，给出了多输入多输出系统最优极点配置满足的条件及算法。
In regular bundle, stability and detectability conditions, necessary condition and algorithm for the Multi - input optimal pole placement is given.
本文讨论了（4，6）-正则极大平面图，得到了（4，6）-正则极大平面图的存在条件及构造方法。
The (4,6)-regular maximum planar graph is studied, and its existence condition and construction method are obtained respectively.
根据纹理特征的局部马尔可夫性和高斯变量的条件回归之间的关系，将复杂的模型选择转变为较简单的变量选择，应用惩罚正则化技巧同步选择邻域和估计参数。
The structure of the GGM is explored by the connection between the local Markov property of texture features and the conditional regression of Gaussian random variables.
尤其是本文把正则阶作为约束条件之一，从而保证了滤波器通带的平坦性和阻带的快速衰减，并且在阻带滤波器的频谱值非常接近于零。
Especially, regularity as one of the constraints assure the flatness in passband and the high attenuation in stopband, even the value of stopband response is very close to zero.
本文证明了：正则曲面定义的条件“X是一个同胚可以减弱为条件”X是一对一的。
The paper shows, that the condition "X is a homeomorphism" of the definition of a regular surfaces can be substituted with the condition "X is One-to-one".
本文主要研究了广义分散控制系统的正则性，并给出了可以正则化的一个充要条件。
In this short poper, the regularizability of descriptor decentralized systems is studied and a necessary and sufficient condition is given.
给出了两个半群的半直积和圈积为矩形拟正则半群和矩形群的充要条件。
This paper gives necessary and sufficient conditions for the Semidirect and Wreath Products of two semigroups to be Rectangular Quasi-Regular Semigroups (Rectangular Groups).
主要研究了在适当的正则性假设条件下液晶流的稳定有限元逼近的数值分析。
This paper is devoted to the numerical analysis of a stabilized finite element approximation for a liquid crystal flow under appropriate regularity hypothesis.
给出了多导单步方法正则性的概念，并给出了多导单步方法具有正则性的条件。
The concept of regularity was given in this paper. The conditions, which ensure the regular-method is also obtained.
可以采用边缘条件作为导体的局部非正则点处电场趋于无限大时应遵循的准则。
Edge Conditions can be used as criteria which must be obeyed by electric fields as they approach infinity at the local irregular point of a conductor.
讨论模的同态的群逆存在的条件，得到正则自同态的群逆通过弱广义逆表示的显式，并给出一些应用和例子。
By using weak noncompact types conditions, we obtain an existence theorem of generalized weak solutions to (cp), improving the results of weak solutions in,.
证明了同伦映射为正则映射的条件下，选取合适的同伦方程，用此同伦方法得到的K-K-T点一定是问题局部最优解。
We prove that when the homotopy map is a regular map, the K-K-T point obtained from this homotopy method must be a local optimal solution by choosing proper homotopy equation.
一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群，但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群。
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.
首次给出自构线图的定义，并证明：简单图G为自构线图的充要条件是图G为2-正则简单图。
It is proved that a simple graph G is automorphism line graph if and only if the graph G is 2-regular graph.
首次给出自构线图的定义，并证明：简单图G为自构线图的充要条件是图G为2-正则简单图。
It is proved that a simple graph G is automorphism line graph if and only if the graph G is 2-regular graph.
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