查询词典 iteration method

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。

Main contributions and achievements are as follows:A general non-equilibrium rigorous model for RDP is developed in this thesis. Based on the pseudo-homogenous assumption, two main factors reaction and separation are de-coupled, and an RDP model with the same format as that for a traditional distillation process is established. To solve the model with a large number of algebraic equations, modified M-K equations with tri-diagonal matrix form are developed based on the improved Separation Efficiency Functions, which greatly increases the iteration efficiency. This thesis also develops a general reactive distillation dynamic model. Through splitting of the differential variables based on SEFS, large-scaled differential algebraic equations can be solved with the improved Gear's algorithm which makes the dynamic model suitable for the on-line application. A simulation platform for the control loop design and evaluation of RDP by introducing control system equations into the dynamic model is also developed.A lactic acid purification pilot-scale RDP is investigated.

论文对热点问题——反应精馏过程的建模与优化控制相关技术进行了深入的研究，取得了一系列成果：1、建立了反应精馏过程机理模型，基于拟均相假设，将反应和分离过程进行解耦，推导出反应精馏过程的非平衡级稳态模型和动态模型，通过引入推广的分离效率函数，对模型变量进行了合理划分，显著提高了模型求解效率；将动态模型和控制系统方程结合，建立了反应精馏过程控制系统研究的辅助工具。2、全面分析了乳酸提纯反应精馏新工艺试验装置，利用本文建立的过程机理模型，对该试验装置进行了稳态和动态性能分析及水力学核算；设计和分析了单边质量控制方案，比较了间接和直接物料平衡控制两种方案的控制性能。

"On Integral Equations, their Solution by Iteration and Analytic Continuation".

在 1971 年，Alan 加入耶鲁大学计算机科学系，并在 1976 年到 1980 年出任计算机系系主任。

As well as in previous work, we reduce this problem with the Schr\oder transformation to finding analytic solutions of a functional equation without iteration of the unknown function $f$.

通过Schr\{o}der变换把方程转化为不含未知函数迭代的函数方程，进而求出方程的解析解。

The relationship between transient response and shape design variables is highly non-linear, and the behavior of feasible domains is often not good, which may cause convergence difficulties. In order to improve convergence speed of iteration process, some algorithms the feasible domains adjusting, the adaptive move limit, the approximate line search and the approximate reanalysis, are adopted.

采用基于Newmark积分的直接求导法计算瞬态响应灵敏度，在序列二次规划算法中采用了可行域调整、近似—维搜索、自适应运动极限等改进技术，提高求解效率和收敛稳定性，以解决结构动态响应与设计变量的关系复杂、高度非线性，优化可行区域的性态不良等问题。

In design of floating-point division, we can use functional iteration arithmetic or very high radix division arithmetic. In the beginning, we use a look-up table to obtain an accurate initial reciprocal approximation, and reduce the time of delay.

在浮点除法器的设计中，若用函数迭代或高基数算法进行除法运算，计算开始时，通过浮点倒数查找表获得一个较精确的初始除数倒数近似值，可以减少除法的迭代次数，缩短运算的延迟。

Over an arithmetic progression of numbers, or giving the user the ability to define both the iteration

或由用户来定义迭代步骤和中止条件，Python 的for 语句依据任意序列

Rather than always iterating over an arithmetic progression of numbers, or giving the user the ability to dene both the iteration step and halting condition, Python's for statement iterates over the items of any sequence, in the order that they appear in the sequence.

通常的循环可能会依据一个等差数值步进过程或由用户来定义迭代步骤和中止条件，Python 的for 语句依据任意序列中的子项，按它们在序列中的顺序来进行迭代。

Rather than always iterating over an arithmetic progression of numbers, or giving the user the ability to define both the iteration step and halting condition, Python's for statement iterates over the items of any sequence, in the order that they appear in the sequence.

通常的循环可能会依据一个等差数值步进过程或由用户来定义迭代步骤和中止条件，Python 的 for 语句依据任意序列中的子项，按它们在序列中的顺序来进行迭代。

Rather than alwaysiterating over an arithmetic progression of numbers,or giving the user the ability to define both the iteration step andhalting condition, pythonsfor statement iterates over the items of anysequence, in the order that they appear inthe sequence.

通常的循环可能会依据一个等差数值步进过程或由用户来定义迭代步骤和中止条件，python 的 for 语句依据任意序列中的子项，按它们在序列中的顺序来进行迭代。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。