模函数

The quantum amplitude amplification is the generalization of quantum Grover search algorithm. In this strategy, the Grover iteration has been replaced by two different quantum amplitude amplification operations. This makes it possible to collapse the system with probability 1, in other words, with certainty. The measurement operation in this scheme is only used to cancel the phase factor. Finally, one can use the admissible control to drive the system from the eigenstate to the target state and the control task is accomplished.

量子幅值放大是Grover迭代思想的一般化，该控制方案中采用两种不同的量子幅值放大操作替换了Grover迭代，使得期望本征态的概率幅的模在经过一定次数的迭代之后精确的等于1，然后借助于测量来消除相位因子，使系统的波函数确定性的塌缩到期望的本征态，最后再借助幺正演化，将系统从本征态控制到目标态，实现期望的控制任务。

First, one. analyzes the eigenstates-from reachable sets and seeks the one which the target state belongs to. Then using the Grover iteration to amplify the probability amplitude of the desired eigenstate (the modul square of which is the probability of the corresponding eigenstate that the system will collapse to when it is measured). By measuring, the system will then collapse to the desired eigenstate with a probability of almost unity. Finally, one can use the admissible control to drive the system from the eigenstate to the target state.

该策略的核心思想是对本征态能控的系统，通过分析控制目标态与本征态的关系，寻找给定目标态所属的本征态可达集，然后利用量子非结构化搜索的Grover算法，将任意给定的系统初始态经过一定次数的Grover迭代，放大该本征态所对应的概率幅(概率幅的模方对应测量时波函数塌缩到对应本征态的概率)，然后对迭代后的态进行一次测量操作，使系统以接近1的概率塌缩到所需的本征态(前面分析得到的本征态可达集所对应的本征态)，最后用容许的控制将系统从该本征态控制到期望的目标态。

The model was solved by the Ritz method, and the orthogonal polynomials generated by the Gram-Schmidt process were employed as admissible function for both disk and blades. With this approach, the matrix derived from kinetic energies becomes diagonal and numerical manipulation can become easy and stable.

采用Gram-Schmidt方法生成正交多项式作为李兹容许函数进行模型的离散化，简化了所得到的频率方程求解过程，有利於求解过程的数值稳定性，并可方便地通过对方程系数性质的分析了解结构振动模态的性质。

Two nonlinear PFC algorithm using VOLLTERRA series model and bilinear system respectively are presented.

预测函数控制方法需依赖于一个过程内模来预测过程未来的输出。

Damage function is introduced in elastic and plastic modulus expression of the bounding surface formulation directly; then a bounding surface damage model for structural soft soil is developed; the complication induced by introducing damage parameter into the bounding surface equation is avoided and its numerical implementation is easy for the analysis of earth structures.

在边界面理论的弹塑性模量中直接引入损伤函数，建立结构性软土的边界面损伤模型，避免了在边界面方程中引入损伤变量带来的复杂性，易于在土工数值分析时采用。

First, the state～space equation of the circular inverted pend ulum system was established based on the Lagrange Equation. On the base of that, the circular inverted pendulum was swung up by the energy control strategy, and the controller of the system was designed by the pole placement of the optimal control theory. Second, in order to realize the observation for the unknown vari ables, stable state observers were designed based on the equivalent principle of sliding mode variable structure.

该方案在采用 Lagrange 函数建立状态空间方程的基础上，利用能量控制策略实现自动起摆；采用最优控制理论中的极点配置法设计倒立摆系统的控制器；同时利用滑模变结构的等值原理设计观测器，实现对系统未知状态变量的观测。

According to conformal mapping theory of complex function, forward and reverse solution procedure of Schwarz-Christoffel transformation is analyzed.

论文摘要：针对复杂铝合金壁板导流模挤压过程中出现的挤压力大、变形不均等缺陷，采用流函数理论建立扁挤压筒型腔到型材出口之间过渡曲面的边界条件。

Mathematical model has been dealt with by punish function search method. Hooke-Jeeves modular vector search method and Powell conjugate direction search method have been adopted and modified.

利用"惩罚函数"法进行了数学模型的处理，采用并改进了Hooke-Jeeves的模矢搜索法及Powell的共轭方向法，还提出一种随机搜索法。

Different from free space, a microcavity laser has dimensions on the order of the emitted wavelength, so the spacing and spectra distributions of EM modes can't be described by a smoothly continuous distribution function.

一个微腔激光器，其谐振腔至少有一维的尺寸可与其发射的波长相比拟，与自由空间不同，因而电磁模的空间和光谱分布再不能用平滑连续分布函数来描写。

A frequency domain poly reference modal identification method under operational conditions was presented on the basis of the cross correlation function of measured responses to solve the only output problem.

针对工程实际情况，从实测响应间的互相关函数入手，推导出适用于工作状态下的频域多参考点模态识别法，然后采用一飞机模型对该方法进行了试验验证。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。