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The variational convergence of real function sequence is extended to vector function sequence and the lower semicontinuity of approximating set of weak Pareto solutions of a given multiobjective decision making problem with general constraint set is obtained by using the variational convergence.

本文将函数序列的v-收敛性推广到向量值函数,在v-收敛性的条件下得到了给定的多目标决策问题的近似弱有效解集的下半连续性并给出了若干容易验证的充分条件。

The basic idea was to discrete the structure and find the load function according to the energy criterion of buckling and the principle of random displacement method. As the critical load is the minimum of the load function, a problem of frame buckling can be transformed into an optimization problem. Therefore, the critical load can be found through solving the optimization problem.

先将结构离散为一个有限自由度系统;然后根据有限自由度系统平衡稳定性的能量准则和随机位移法的基本原理,建立符合能量准则的载荷函数,该函数不为零的最小值即为临界载荷,由此将稳定问题转化为无约束的多维优化问题;最后应用遗传算法求出相应于最优解的目标函数值。

To develop the missile quasi-linear model, a state space model is established for missile dynamics, and function substitution method is used to describe the nonlinear dynamics of missile as linear combinations of functions of given time-varying parameters. With the minimizing variation range of model parameters over the whole design envelope as the optimum aim, linear programming optimum arithmetic is used to determine the model parameters at selected grid points.

为了建立导弹准线性化模型,将导弹动力学描述为状态空间形式;采用函数替换方法将导弹的非线性动力学描述为关于特定时变参数的函数的线性组合形式;以整个设计区间内模型参数变化范围最小为优化目标,采用线性规划优化算法确定了所选网格点上的模型参数。

Based on radar backscatter theory and scatter point model,aimed at the same frequency vibration scatter point of radar target,radar echo universal model is derived and the periodicity of amplitude modulation function and phase modulation function is researched at length.

基于雷达后向散射理论和散射点模型,针对雷达目标的同频振动散射点,详细推导并建立了雷达回波通用模型,对其幅度调制函数和相位调制函数的周期性进行了详细的讨论。

As for the inadequate contrast of infrared thermal imaging, as S curve mapping function is proposed to enhance target objectives and in the meantime suppress background clutters, which has the same range of domain with a variable interval and a non-symmetrical inflection point.

针对红外热成像对比度不足的问题,提出了一种S曲线映射函数,该函数具有定义域与值域区间一致、拐点非对称的特点,在目标图像增强的同时拟制了杂波背景。

This method assumes a global embedding function in low dimensional space, then incorporates the relative compactness information of the data distributions on the global geometry to reconstruct sample data. Finally, the global low dimensional submanifold is obtained by minimizing the cost function.

该方法首先假定目标空间的整体映射函数,然后结合数据的全局几何结构分布信息进行数据重构,最后通过最小化准则函数来得到嵌入高维空间的低维子流形。

The feedback controls, including linear, speed, doubly-periodic function, hyperbolic function and trigonometric function are used to suppress chaos to one of the three unstable equilibrium. The Routh-Hurwtiz theorem is applied to derive the conditions of stability of the controlled system.

利用反馈控制方法,包括线性、速度、双周期函数、双曲函数和三角函数反馈控制方法将系统的混沌运动控制到稳定态,根据Routh-Huriwtz准则获得了系统达到控制目标时反馈系数所满足的条件。

The optimal model of indirected cost allocation for maximizing profit of enterprises using cost based pricing has been developed.The object function of maximizing profit has been shown convex.Then,a method of optimal indirected cost allocation for maximizing profit has been proposed.

在此基础上建立了企业在采用成本定价法时,以获得最大利润为目标的间接固定成本分摊的优化模型,证明了成本分摊的利润性能函数是一个凹函数,由此给出了一种利润最大化的间接固定成本的优化分配方法

Finally, taking these dates and using it as the functions of genetic program, and using the standard arithmetic operation as the terminals of GP. The object in this algorithm is the chiller consumption energy. Through the option of GP which contains 'crossover'、 'reproduce' and 'mutation' to iterant compute the population is composed of functions and the terminals of GP. Finally, we would find the consumption energy model of chiller.

利用此三参数作为基因规划法之终点端,再利用数学符号作为基因规划法之函数端,以实际之冰水主机耗电量作为目标,利用基因规划法之运算子作迭代运算,最终可得到足以说明此三参数与冰水主机耗电量之关系函数,即为冰水主机耗电模型。

The results indicate the effect of light level, visual angle and eccentricity on detection rate and reaction time at mesopic region; shows series of spectral luminous efficacy drawn out from the experimental results since monochromatic stimulus was used; proves that the results from performance-based method are in essence compatible with those from bright-matching method, since both of them are in accordance

本论文实验和计算结果确定了背景亮度、视场角和偏心度对人眼探测率和反应时间的影响程度;根据视觉功能的基础和实验中选用单色光谱作为视觉目标所得到的数据推导出人眼在中间视觉状态下的系列的光谱光视效率函数;本文研究结果证实了基于视觉功能法和视亮度匹配法所获得的光谱光视效率函数在本质上的一致性,它们都能反映出随着亮度降低而产生的浦尔金耶偏移效应(Purkinje-shift),但本论文所采用的基于视觉功能法还能反映出人眼视觉信息处理中的颜色通道效应。

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