查询词典 discrete problem

Combination optimization problem has many extensive application backgrounds, and its objective is to find the optimal combinations of discrete status in the solution space.

组合优化问题具有广泛的应用背景，它的目标是寻找解空间中离散状态的最优组合。

It was supposed that the dynamic moving process of the stock price and the return was driven by Geometry Brownian Motion and the lognormal distribution respectively. Takinginto account the riskneutral environment, we got a closedform analytical formula for deferred arithmetic asian options by the method of Taylor expansion of the stochastic integral formula within the terminal payoff. Furthermore, with the series definition of the definite integral, we transferred the continuous problem into a discrete one which is simpleenough to figure out. Meanwhile we tested the accuracy of the formula with the Monte Carlo simulation as a benchmark and the result shows that the formula can be utilized to price the related financial derivatives.

在标的价格服从几何布朗运动、收益服从对数正态分布的前提下，通过风险中性定价原理，对到期损益中的随机积分进行任意次Taylor近似，并由级数定义将此连续问题离散化，给出了延期算术平均亚式期权封闭形式的解析定价公式，并与Monte Carlo模拟得到的价格作为标尺对得到的公式进行精确性检验，结果表明，所得公式可以应用到金融实务中对此类衍生品定价中。

The chapter 5 considers the chaos synchrony problem for a class of discrete uncertain systems with time-delays.

在第五章中，研究了离散混沌系统的状态同步问题。

Since the lengths of the line segments and the angles between line segments are treated as representation parameters, it is convenient to construct energy function and to deal with displacement and length constraints. Based on this advantage, a parametrical model for human body is proposed, which can easily produce human body models with different feature sizes. The above method is just suitable for polylines. Therefore, a generic deformation method for both discrete curves and surfaces is presented. The energy function is constructed by analyzing the relationship of the points before and after deformation. Together with the displacement constraints, the deformation problem is converted to a convex quadratic programming. A necessary condition for constraint points and a sufficient condition for the uniqueness of solution are given. The proposed method can be combined with skeleton-driven animation to control the deformation.

将线段长度与线段之间的角度作为表示参数，既有利于能量函数的构造，又便于处理位移约束和长度内蕴约束条件，利用这一优势，将其应用于三维人体的参数化建模，可以方便地产生具有不同特征尺寸参数的人体模型，由于这种方法只适用于折线变形，具有较大局限性，因此，本文进一步提出一种较通用的离散曲线曲面变形方法，通过分析变形前后的位置关系来构造能量函数，再加上位移约束条件，将变形问题转化为一个凸二次规划问题，并且给出了约束点应满足的必要条件及模型解唯一的充分条件，这种方法还可以与骨架驱动变形的思想相结合，能更好的控制变形。

Analyzed some correlation problem of using elliptic curve construct cryptosystem.Make the correlation counterchange on the elliptic curve that suitable for constructing the cryptosystem and the op eration on it. Analyzed and researched discrete logarithm problems of elliptic c urve suitable for cryptosystem.

文中分析研究了利用有限域上的椭圆曲线构建密码体制的相关问题，对于适于建立密码体制的一类椭圆曲线进行了相应的仿射代换和其运算的映射变换，对椭圆曲线构建密码体制的椭圆离散对数问题进行了分析研究。

Out of practical consideration that has, the problem is concentrated on discrete dyadic wavelet and its transform.

出于实用上的考虑，将问题集中到离散化二进小波及变换上。

Some new concepts and algorithms are proposed,such as jobnomial sequence,job perturbation sequence,neighbourhood of job nomial sequence and jobsequence perturbation analysis.These job sequence PA algorithms extend PA techniques aboutcontinuous parameters to discrete parameters and provide some new kinds of tools for solving suchcombination optimization problem.

论文提出了工件序的邻域、摄动序等概念以及对工件序进行摄动分析的思想和算法，将传统的PA算法从连续参数领域推广到离散参数的组合优化领域，为此类组合优化问题增添了新的求解工具。

In the process of this item, after the mainly uncertainties affecting the network planning are detailedly researched, some flexible planning models such as Blind Number Method and Scenario Method are proposed. Because power network planning is a nonlinear, discrete, multi-peak, multi-objective and nondifferentiable problem, it is very hard to be solved. Ant Colony Algorithm is an advanced metaheuristic method and has potential to deal with network planning problems.

本项目的研究过程中，针对影响电网规划的不确定性因素做了深入的定性和定量分析，采用盲数理论和多场景技术建立了多种具有良好适应性和灵活性的电网规划模型；同时，针对电网灵活规划模型非线性、离散性、多目标及目标函数不可微等特点，对多种优化算法在处理此类问题时的性质进行了分析和对比，并最终采用蚁群算法较好地解决了电网灵活规划问题。

In Chapter 3,the problem of robust fault detection for linear discrete-time systems with both unknown inputs and Polytopic uncertainties is studied.

第三章研究了受未知输入和Polytopic型不确定性影响的一类线性离散时间系统的鲁棒故障检测问题。

The design problem of gain-scheduled H2/H(subscript ∞) filter for polytopic discrete-time systems is investigated.

研究凸多面体不确定离散时间系统的变增益H2/H滤波器设计问题。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。