查询词典 piecewise continuous function

By means of the extended Dirac function, the discontinuous variation in rigidityof the rectangular plate due to the arbitrarily- disposed cylindrical voids is expressed under thecategory of a continuous function.

利用扩展的 Dirac函数，将由于空洞的存在而引起的矩形板的刚度不连续性表示成连续函数的形式，从而实现了不需修正刚度便能写出带圆柱形空洞的矩形板的运动方程。

Based on the ICMmethod,the discrete topological optimization problem about spot-weld's existence or not is transformed into the continuous optimization problem on[0,1].The optimization model is founded with maximizing the structural stiffness as objective and structural strength as constraints.The problem of multi-objectives and multi-constraints is transformed into the problem of single-objective and single-constraint with the K-S function.The displacement and stress are transformed into the explicit function of design variables with the Response Surface Methodology.The optimization model is solved with Sequential Quadratic Program.

基于ICM（Independent Continuous Mapping，即独立、连续、映射）方法，将焊点有无的离散拓扑优化问题转化为[0，1]区间上的连续优化问题；建立了以结构刚度最大为目标、结构强度为约束的连续拓扑优化模型；采用K-S函数将多目标和多约束问题转化为单目标和单约束问题；运用响应面方法将位移和应力转化为设计变量的显式函数，采用序列二次规划方法求解优化模型。

In the network method, the neural network with powerful function of approximation is used to get the continuous approximate function of the discrete fringe pattern.

在测量过程中，利用神经网络强大的函数逼近能力，得到离散条纹图的连续逼近函数，从中解出物体的相位分布信息，获得物体的三维面形分布。

As the cam profile with constant-velocity-constant-acceleration ramp feature and with continuous higher derivative lift feature is widely adopted in the advanced high-speed internal combustion engines, the cam ramp profile is fitted with a reasonable function and the cam-lift profile is fitted with a polynomial function.

考虑到高速内燃机的凸轮大多采用具有等加速-等速特征的缓冲段和高阶导数连续特征的工作段型式，用等加速-等速函数拟合缓冲段实测升程数据，用整体式高次多项式函数拟合工作段实测升程数据。

This method transforms the discrete problem to continuous function space and convert the inner product computation problem in Hilbert space into function evaluation problem in some discrete points.

该方法将离散的问题影射到连续函数空间中进行处理，同时将Hilbert空间中的内积计算问题转化为函数在离散点的取值问题。

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。

Effective local search tactics reaches local searchers when they are ready to buy - with every way that it is possible for them to buy from you.

有效的地方搜索策略达到当地的搜索，当他们准备购买-以各种方式，这是他们有可能从您那里进行购买。

The first two are periodic sentences for their beginnings; and the fifth and the last are also periodic sentences each for the embedding of a parenthetic structure.

1960年代中后期，当战后女权主义和当时的许多其他抗议运动在西欧和北美发展成某种势力时，性别的概念演绎成补充和延伸生物性别差异的概念。