无约束的

How to deal with the restrictions of deep excavation is a very difficult problem. This paper analyzes the restrictions of pile-support structure detailedly, uses a castigatory function to deal with the restrictions, and adds the castigation to the function. Now the problem has changed to solve a minimal problem, and GA can be used to the optimal design successfully.

束条件的处理是遗传算法应用到深基坑支护结构优化的难题和重点，本文详细分析了桩撑支护结构的约束条件，采用了罚函数法对约束条件进行处理并反映到适应度函数上，使其变为无约束的极小值问题，从而使遗传算法得以顺利实施。

Arising from a natural inclination or impulse and not from external incitement or constraint.

无约束的，不须学习的在仪表或行为上无约束或无须学习的

Probability distribution of anchoring data can be regarded as nonlinear programming with certain restriction. Programming with the restriction can be transferred to nonlinear programming without restriction by use of Lagrange Method and can be then easily resolved by step-acceleration method of one variable.

锚固强度参数的概率分布问题可以归结为带约束的非线性规划问题，利用条件极值的拉格朗日乘数法可以将带约束的规划问题转化为无约束的非线性规划问题，并可以采用运筹学中的单变量步长加速法非常方便地求解。

According to the optimization design and reactor networks design of chemical system engineering, the method which restriction nonlinear programming problems can be transformed to the no-restriction no-linear programming problems was put forward.

针对化工系统工程中的优化设计、反应器网络设计等问题，提出了一种将有约束的非线性规划问题转化为无约束的非线性规划问题的北京化工大学博士学位论文方法，使用本论文提出的改进遗传算法对这类问题进行了求解，提高了计算效率和计算精度，能有效地寻找到全局最优解。4。

Based on the special decomposition of Hankel matrix, we can transform the problem of approximating a given matrix with a positive semidefinite real Hankel matrix of lower rank to a smooth unconstrained optimization problem.

对矩阵的低秩Hankel半正定矩阵逼近，采用特殊的分解形式，可将其转化为一个无约束的优化问题进行求解，本文应用拟牛顿方法求解无约束优化问题。

The calculation of an example indicates that the combined optimal model is better than the single one in terms of simul.

大坝安全的组合优化监控模型实际上为一带约束的优化问题，将DNA遗传算法应用于大坝安全监控领域中，用罚函数法将有约束的优化问题转换为无约束的优化问题，建立了大坝安全监控的组合优化模型。

And therefore, whatever form the common-wealth is under, the ruling power ought to govern by declared and received laws, and not by extemporary dictates and undetermined resolutions: for then mankind will be in a far worse condition than in the state of nature, if they shall have armed one, or a few men with the joint power of a multitude, to force them to obey at pleasure the exorbitant and unlimited decrees of their sudden thoughts, or unrestrained, and till that moment unknown wills, without having any measures set down which may guide and justify their actions: for all the power the government has, being only for the good of the society, as it ought not to be arbitrary and at pleasure, so it ought to be exercised by established and promulgated laws; that both the people may know their duty, and be safe and secure within the limits of the law; and the rulers too kept within their bounds, and not be tempted, by the power they have in their hands, to employ it to such purposes, and by such measures, as they would not have known, and own not willingly.

所以，无论共同体处于什么形式之下，统治的权力都应当由公布并被接受的法律而不是由临时的命令和未确定的决议来支配：因为人类一旦将多数的联合权力武装一个或少数人，来迫使人们服从他们突发奇想的过度和无限制的法令，或者服从于此时尚没有确定的尺度来管理和裁判他们行为的无约束的意志，他们将跌入远比自然状态更糟的境遇之中：因为政府所拥有的所有权力，既然仅仅只是为了社会的利益，就不应当是肆意和凭一时高兴的，它应当依建立和公布的法律来行使；不仅人们知道自己的责任，知道在法律的约束之中安全能够得到保证；而且统治者也被限制在他们的边界之内，而不会被他们手中的权力所诱惑，从而雇用这种权力去为人们并不知道和并不情愿的目的服务，并作为这样的手段。

The passive tracking dynamics is modeled by the turn rate, and the basic steps of the nonlinear particle filter are discussed. According to constraint conditions including the terrain data and the maneuvering capability of the target, outrange particles are discarded during prediction and update steps, and the distribution and the weight of particles are adjusted. The performance and the RMSE are analyzed by comparison simulations with the unconstraint particle filter.

使用转弯率概念建立了被动跟踪模型，阐述了非线性粒子滤波的基本过程；通过设定地域和机动性能约束条件，抛弃约束外粒子，并对粒子分布和权重进行调整，利用CPF进行了目标跟踪仿真实验，与无约束的粒子滤波跟踪进行了对比，分析了轨迹跟踪性能，比较了跟踪误差。

Firstly, an empirical approximation model of stochastic programming is obtained by replacing the probability measure of original program with empirical probability measure. Sequentially, the constrained stochastic programming is transformed into an equivalent unconstrained stochastic programming. Finally, using the epi-convergence theory, the almost everywhere upper semiconvergence of optimal solution set of empirical approximations for stochastic programming is obtained.

首先通过经验概率测度替代初始规划的概率测度得到随机规划的经验逼近模型，然后将带有约束的随机规划问题转化成与其等价的无约束的随机规划问题，最后利用上图收敛性理论，给出了随机规划经验逼近最优解集的几乎处处上半收敛性。

By defining a matrix function and introducing a free matrix U, the pole assignment constraint is relaxed, and the gradient σ2/U and σ2 σ2[V-1]/U are obtained. Thus robust design can be achieved by gradient method. Examples show that this method is very effective.

通过定义一矩阵函数并引入新的自由变量U，可放松极点配置的约束，并能系统的推导σ2/U及(σ2·σ2[V-1])/U，从而将鲁棒设计转化为无约束的梯度法寻优，实例说明，本文设计方法的效果很好。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。