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经济学家经常碰到的是求整体极值。Economists are usually interested in global extrema.

我们将不断地得出关于整体极值的某些有用的结果。We shall subsequently obtain some interesting results on global extrema.

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第一个是基于小波框架模极值密度的分类算法。The first one is based on the density of the discrete wavelet frame modulus extrema.

由于应用了自适应搜索技术，局部搜索能够快速找到局部极值。The adaptive search technique enables local search to head for local extrema quickly.

通过采用坐标轮换法优化，发现所求最优化问题具有多极值特点。The partial extrema of the optimization problem are found by using reduced dimension method.

第一章包括六个领域和薄弱和强大的极值充分条件的理论。First six chapters include theory of fields and sufficient conditions for weak and strong extrema.

用相邻被标记的本地极大的中间到达次数来获得移动速度的估计值。The interarrival times of adjacent signed local extrema are used to obtain an estimate of the mobile speed.

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提出一种新的基于累积量极值的非线性系统盲反卷积算法。A new cumulate extrema based algorithm, for blind deconvolution of the sandwich nonlinear system, is developed.

该方法采用高阶极值点信息，通过逆向EMD筛选结果拟合最优包络均值。The improved EMD method uses higher order extrema and then the optimal envelope mean can be obtained with an inverse EMD scheme.

实践证明，该算法不仅具有较好的抗噪声特性，而且快速实用，具有广泛的应用价值。It is proved that the algorithm is not only noise-resistant in salient extrema detection, but also applicable to a wide range of applications.

将所得到的平均波进行分析，以便对每个波形进行分析，以确定每个反射脉冲的极值点和转折点。The resulting average wave is analyzed so that each waveform is analyzed to identify the extrema and inflection points of each reflected pulse.

对包含极大点数据的稀遇极值用区域极值进行统计，显著提高了结果的稳定性。The statistical stability can be maximized if the scarce extrema including these isolated maxima are counted statistically as the regional extrema.

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同时，拟随机序列的低偏差性保证了函数定义域能够被均匀地搜索，为找到多个局部极值包括全局极值提供了保证。The low discrepancy of quasi_random sequence ensures that the function field be searched evenly and various local extrema including global extremum be found.

对发生在2002年的极端冷暖事件进行检测分析证明，上述方法能比较有效地检测极端冷暖事件的发生。Analysis of cold and warm extreme events occurred in 2002 in Shijiazhuang shows that the above-mentioned schemes can effectively identify temperature extrema.

本文提出了用样条插值重构算法来实现由信号二进小波变换极值点重构原始信号。A reconstruction algorithm by cubic spline function interpolation, which is used to recover a signal from its dyadic wavelet transform extrema is proposed in this paper.

研究了分别对应极值检测算子和零交叉检测算子的两类任意阶基数B样条小波。Two types of the arbitrary order cardinal B spline wavelets were discussed in this paper, corresponding to the extrema detection and zero crossings detection respectively.

在由非水平裂隙构成的界面上，P-P波反射系数会出现更多的极值而变得较为复杂，且不能直接指示裂隙走向。On the interface where there are non-horizontal fractures, reflection coefficient of P-P wave has more extrema to show complexity and to fail to directly indicate fracture strike.

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讨讼色泊松噪声驱动系统，利用统一色噪声近似方法，得到系统几率密度主方程，定态几率分布函数及其极值方程。By using the unified colored noise approximation method, the master equation for probability density, the steady state probability distribution function and its extrema equation are derived.

该算法是基于交互控制器和矩阵相似变换原理，用求极值方法求出复矩阵的近似实阵。The algorithm, on the basis of the principle of interactive controller and matrix similar transform, works out the approximate real matrix of a complex matrix with the method of finding extrema.