约束的

Based on analyzing the d-δ commutation relation for the linear stationay differential constrained systems and affine differential constrained systems, the relationship between noncommutator of differentiation and variation and nonholonomicity of the differential constraints is briefly proved by means of Frobenius integrability theory.

文中以微分约束的Frobenius可积性理论为依据，在分析线性稳定微分约束系统和仿射微分约束系统的d-δ对易关系基础上，简要论证了微分与变分的非对易子与微分约束的非完整性之间的关系。

At each database sites, sampling algorithm and constrained Eclat algorithm are implemented. And the local frequent itemsets satisfying constraints are developed. They then are combined to global frequent itemsets that satisfying constraints based on learning from induction.

算法在各数据站点上对一个较小的样本采用基于约束的Eclat类算法挖掘局部约束频繁项集，用归纳学习的方法归并所有局部约束频繁项集产生全局约束频繁项集。

Since any equality constraint is equivalent to two inequality constraints, the algorithm LTR can be used for solving nonsmooth optimization problems with equality and inequality constraints.

同时，由于等式约束等价于两个不等式约束，故算法LTR也适合于求解带一般线性约束的非光滑优化问题。

In the term of mathematics,because equality constraintcondition can be considered as a special case of inequality constraint condition,Lagrange multipliers domain decomposition method is a special case of Lagrangemultiplier method of flexible multi-body system dynamics.

前者满足等式约束，后者满足不等式约束；从数学的角度上看，由于等式约束可以看作不等式约束的特例，因而Lagrange乘子区域分解法可以看作是多柔体系统动力学的Lagrange乘子法特例。

In order to convert this constraint to smooth ones in general form, an enhancing constraint transcription is adopted, thus the convergence of sequential quadratic programming method is guaranteed.

TCSC暂态10s运行约束可表示为过程不等式约束的形式，为将这一约束条件处理为具有标准形式的光滑约束函数，文中扩展了已有的变换技巧，从而保证了SQP法有较好的收敛性。

Using the result for non-restricted model, we transform the restricted model to common model, and multi collectivity model to single collectivity model, thus, the necessary and sufficient conditions that nonhomogeneous linear estimators for Sβ are admissible in the class of nonhomogeneous linear estimators are obtained which filled the blank for admissibility for restricted linear model.

对线性等式约束的共同均值线性模型，利用无约束单总体模型的现有结果，通过适当变换，把等式约束模型向无约束转换，并把多总体转换为单总体，在矩阵损失下找到了均值参数β的条件可估函数Sβ的线性估计∑mAiyi+a在非齐次线性估计类中可容许的充要条件，填补了等式约束的共同均值线性模型可容许性方i=1面的空白。

Third, for the problem of the stress, local stability and displacement constraints, the sequential quadratic programming method is adopted in this paper.

第三，对于应力约束、局部稳定约束和位移约束的问题，本文采用序列二次规划SQP方法进行了求解。

The author points out: Confidence is confidence in not man but system, humanity being vicious, a trustee must be restricted, duty restriction is not replaced by right regulation; Legal aim of restriction should be orientated at maximal benefit of beneficiary, in it, benefit subject is only beneficiary and doesn't included settlor and society, benefit content is physical but not spiritual; A bulk of restriction regulations are default-rule,but there are some mandatory rules, even if they are default-rule, they has mandatory character to some degree, therefore, the intention of settlor which precludes application of restriction regulation is restricted; Modern technique quality of restriction has trend of flexibility, this would be worthwhile approving because it can realize maximal benefit of beneficiary; Strict self-dealing rule doesn't accord with flexibility trend and should re-established.

本章认为，信任不是对人的信任而是对制度的信任，因人性恶的存在，必须对受托人施加约束，而义务约束则是规范中的权利不可替代的。有效约束的目标在于并应定位于受益人利益最大化，该目标的利益主体仅是受益人而不包括委托人和"社会"，利益内容是经济利益而不包括精神利益。本章还认为，约束规范虽然大部分是任意性规范，但也存在强制性规范，即使是任意性规范也具有一定的强制性品格，委托人随意排除的意思受到限制。本章还指出，现代义务约束趋向灵活化，这种技术品质更有利于实现受益人利益的最大化，因而值得肯定。严格的自我交易规则不符合灵活性趋势，应该加以重构。

For inheriting the dynamic constraint information of the multibody simulation model, topological configuration of the multibody simulation model was built, and simplified constraint form was put forward with the topological mapping of the multibody simulation model in the heterogeneous systems. To transform the information of the multibody simulation model, the offset matrix which transformed the location and orientation of constraints and the matrix which transformed the location and orientation of parts were computed.

利用多体动力学仿真模型在异构系统的拓扑映射，建立多体动力学仿真拓扑构型，提出仿真模型动力学约束的约束简型表示法，实现动力学约束信息的关联继承，并通过约束偏置变换矩阵和构件位姿变换矩阵的求取，驱动多体动力学仿真模型构件和约束位姿的自动调整，实现多体动力学仿真模型的动态转化。

The crushed rock in the side abutment weakens the side restriction while the side wall and the apron strengthen the side restriction. The analysis showed a new stress distribution with automatic modification and less stress concentration when the side restriction is weakened by using crushed rock in the abutment.

结合某碾压混凝土拱坝的拱座，在减弱和加强侧约束时，即在坝体部分高程的破碎软弱岩石减弱坝体侧约束以及坝体下游边墙和护坦增强坝体侧约束的情况下，研究侧约束对于坝体应力和位移的影响。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。