查询词典 completely continuous function

A kind of method to determine boundary conditions of interpolating quadric spline function with halfknots as conjunction points, which is C 1 continuous but its second derivative function is piecewise constant, is obtained by means of least squares.

鉴于此，本文利用最小二乘法，获得了一种半节点二次插值样条边界条件确定方法，该方法可以保证二次插值样条在半节点处二阶导数的变化最小，这相当于保证了曲率的变化最小。

The function can be even non-continuous, e.g., swath wave or jump function.

混沌控制中有一个特殊的领域，就是混沌系统的同步。

That is, any function from a discrete metric space to another bounded metric space is Lipschitz continuous, and any function from a discrete metric space to another metric space bounded by 1 is short.

就是说，从离散度量空间到另一个有界度量空间的函数是李普希茨连续的，而任何从离散度量空间到另一个有界于 1 的度量空间的函数是短映射。

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。

Firstly,the mixed-integer bi-level programming is transformed into a single level continuous optimization problem by virtue of penalty function concept and optimal value function tool.

利用罚函数思想和最优值函数的概念将混合整数双层规划转化为连续变量的单层非线性规划，然后用事先确定步长的凸组合算法迭代求解此单层非线性规划，进而得到原双层规划的局部最优解

Therefore, to the subsample's observation of continuous random parent population, if its material function can not be gotten easily the presented method can be used to approximate its distribution function, and.

因此对连续型随机样本母体中的简单随机子样的观察值，在不易得到其具体分布的情况下，可用此方法来近似求出其分布函数并可达到很好的逼近效果。

Therefore, to the subsample's observation of continuous random parent population, if its material function can not be gotten easily,the presented method can be used to approximate its distribution function,and good approximation effect can be achieved.

因此对连续型随机样本母体中的简单随机子样的观察值，在不易得到其具体分布的情况下，可用此方法来近似求出其分布函数并可达到很好的逼近效果。

Secondly, based on the piecewise continuous Lyapunov function andconstant Lyapunov function, the problems of robust guaranteed cost control forparametric uncertain sampled-data control systems are investigated by using the jumpsystem model and linear matrix inequality technique.

然后，针对参数不确定采样系统的鲁棒保性能控制问题，利用跳变模型和线性矩阵不等式技术，分别基于分段连续Lyapunov函数方法和定常Lyapunov函数方法研究了采样系统的鲁棒保性能控制器综合问题。

After that, based on the CVaR optimization model with transaction costs, we simulate smoothly the piecewise linear function in objective function separately, and obtain the continuous smooth CVaR optimization model. As an application, we explain via an example when the smooth simulation model is applied in the big scale investment portfolio choice problems, its convergence and stability has the enhancement comparing with the above linear model.

其次，在带交易费用的CVaR最优化模型的基础上，将模型目标函数进行了平滑模拟，得到连续平滑的CVaR最优化模型，并经过实例说明，对于较大规模投资组合选择问题，经过平滑模拟后的模型其解的收敛性和稳定性较之原模型的解都得到了提高。

In this paper, the feature and shortcoming of hard, soft and semisoft shrinkage function are discussed, and a new shrinkage function is presented, which is continuous in the whole wavelet domain and has higher-order derivatives.

文章在讨论了硬阈值函数、软阈值函数和半软阈值函数的特点及其不足的基础上，提出了一个新的阈值函数。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。