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这类事件是应用概率领域中所谓的极端事件。These kinds of events are the so-called extremal events in applied probability.

目前在对冰荷载的研究上，主要有极值静冰力和交变冰力两种。In present research, the extremal ice force and dynamic ice force are the main ice force.

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主要讨论偏序线性空间的端单调线性泛函的延拓性。The extension of extremal monotonic Linear functionals in partially ordered linear space is discussed.

HCMU度量是黎曼曲面上极值度量的一个退化情形，具有整体旋转对称性。HCMU metric is a special kind of extremal metric on Riemannian surface with global rotational symmetric.

使用遗传算法实现关于函数极值问题的求解，函数已给出。The use of genetic algorithms achieve about extremal function of problem solving, function has been give.

而在无界区域上，以往很多例子说明仿射拉伸未必是极值映射。In the unbounded region, however, many examples show that affine stretchings are not necessarily extremal mappings.

最后，基于极值优化设计了求解该模型的算法，并给出了具体算例对算法进行验证。Then, an extremal optimization algorithm to solve the problem was designed, and the algorithm was tested with an example.

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本论文论述了应用动态光学理论分析棱镜的像偏转与光轴偏。The paper discusses how to implement dynamic optic theory to analyze the extremal value of image deflection and the off-axis.

本文讨论六角系统中将宽度与直径结合起来的几个极值问题，并给出相应的极图构造。In this paper, we discuss some extremum problems on the width and diameter of a hexagonal system. and give some extremal graphs.

这些随机方程组的极值随机解的存在性和随机比较结果也被获得。The existence of extremal random solutions and random comparison results for these systems of random equations are also obtained.

基于CCD对正弦输入信号的响应特性的基础上，对信号输出周期、极值位置进行了理论分析和数值模拟。Based on response of CCD to the sine input signal, the period and extremal positions of output signal were analyzed and simulated.

对于一般的六角链，一些重要类型的共轭分子的极值问题已得到解决。For the general hexagonal chains, the extremal problem of some important types of conjugated molecules have been solved previously.

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对于给定的任意系统，总陷俘粒子数的最大值可以通过对其解析表达式求极值而得到。The maximum of the total trapping population in a given system can be obtained by calculating the extremal solution of its analytic equations.

介绍了多变量极值理论及在其基础上建立风速和有效波高的极值联合概率分布的方法。The multivariate extremal theory and the establishment of joint distribution of extreme wind speed and wave height based on this theory are introduced.

研究了Cartan域上的极值问题。建立Cartan域的单位球之间极值问题的一个定理并给出它的一个应用。We revisit the classical extremal problem on Cartan domains. We first establish theorems for the extremal problem between Cartan domain and the unit ball.

研究了单圈图、双圈图的反比度，给出了它们的上下界并得到达到最大最小值的极图，还进一步给出多圈图的上下界的一个猜想。In this paper, inverse degree of unicyclic graphs and bicyclic graphs is discussed, and the extremal graphs that reach the upper and lower bounds are given.

本文以伴随图的形式完全刻划了对称本原矩阵和迹为零对称本原矩阵的广义上指数的极矩阵。In this paper, we use the graph theoretical method to characterize the extremal matrices of kth upper generalized exponent for primitive symmetric matrices.

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讨论了偏序线性空间的代数对偶空间上的端单调线性泛函的延拓性。In this paper, our aim is to discuss the extension of an extremal monotonic linear functional in the algebraic dual space of a partially ordered linear space.

研究表明，现有关于区域可达性的计算公式，其实质都是给定区域中某一质点的居中性的测量，因此，现有的区域可达性其实仅指区内可达性。At first, the extremal control of the system was got, then the reachable region of the time reversed system and the controllable region of the system were given.

本文对一般的二阶线性椭圆型方程，在满足内部锥条件时，证明了其强极值原理。In this paper, the strong extremal principles have been proved for second or der linear elliptic equations on the domain which satisfies an interior cone condition.