Because they have same convergence region, sum of series and combinational twin identifies was obtained using the method of substitution.
它们有相同的收敛区间，应用代入法求出它们的级数和，从而获得孪生组合恒等式。
The distance ratio iteration method is a new fractal rendering method which can construct complex inner structure in the convergence region of complex mapping.
距离比值迭代方法是一种新的分形绘制方法，可以在复映射收敛区域绘制出复杂的自相似结构。
It is shown that this algorithm ensures convergence to a global minimum with probability 1in a compact region of a weight vector space.
关于算法分析的定理证明了这种混合算法对于紧致集内的权向量构成的任意连续函数能依概率1收敛于全局极小值。
The strong convergence of the algorithm under a general choice for radius of trust region is proved.
在一个很广泛的信赖域半径选择规则下，证明了算法的强收敛性。
Finally, we carry on the convergence analysis to the technical efficiency of every region in China and observe and analyze the change tendency of each regional difference.
最后，对我国各区域间的技术效率进行收敛性分析，观察并分析各区域间的差异变动趋势。
The shape of regurgitant jets in 30 patients with eccentric mitral regurgitation showing now convergence region (FCR) was observed.
观察30例显示血流会聚区（FCR）的偏心性二尖瓣返流患者的返流束形态，发现均为附壁细长束。
Rapid convergence of population and increase in standards of living result in huge urban domestic water consumption in Pearl River Delta region.
人口的急剧集聚以及生活水平的快速提高，导致珠江三角洲地区的城市生活用水量非常大。
Aiming at the shortcomings of trust region method, we proposed an algorithm using negative curvature direction as its searching direction. The convergence of the algorithm was given.
针对模型信赖域方法中搜索方向存在的不足，提出了按负曲率方向进行搜索的模型信赖域算法，并证明了算法的收敛性。
Flow convergence region, which was located in the left ventricular sides of mitral valve, was displayed in 63%(33/52)of physiological MR and 100%(87/87) of pathological MR.
结果发现：33／52（63％）例生理性二尖瓣返流和87／87（100％）例病理性二尖瓣返流可于二尖瓣左室面显示血流会聚区；
Abstract: International convergence of patent protection breadth implies the standards of patent protection in each region would converge to the same level.
摘要专利保护宽度的国际趋同表现为各国对专利的保护范围收敛于同一稳态水平。
The local ablation of thermal insulation barrier in nozzle convergence region and of throat insert is analysed.
分析了喷管收敛段绝热层及喉衬的局部烧蚀问题；
In the branch and bound method for solving non-convex programming, the choice of region subdivision directly affects the convergence of the whole algorithm.
在求解非凸规划的分枝定界法中，剖分区间的选取直接影响到整个算法的收敛速度。
This paper is to study the convergence properties of the gradient projection method with trust region strategy for constrained optimization.
本文使用信赖域策略结合投影梯度算法来解约束优化问题，并给出算法及其收敛性。
In this paper, the specialized techniques of electron gun for large screen CPTs are discussed. The beam forming region, main lens, convergence lens system and dynamic focusing method are analyzed.
对近年来大屏幕彩色显像管电子枪专有技术进行了讨论，系统分析了电子束形成区、主透镜、会聚透镜系统及动态聚焦方式等。
The test showed that in the region dominated by sub tropical high, short wave radiation was the main cause of the SST increase, surface warm water convergence played a secondary role.
试验表明，副热带高压控制的天气情况下，短波辐射对该海区夏季异常高温的形成起主要作用，暖水辐聚的贡献占第二位。
The formation mechanism and diffusion properties of the lateral high-concentration convergence zones in the downstream transition region are analyzed.
分析了下游过渡区内横向高浓度聚集区的形成机理和扩散特性。
The convergence speed of region mapping model is faster than that of BP neural network, and the model has a good identification ratio.
模型从根本上保证了分类准则与训练准则的一致性，具有比BP网络更快的训练速度和更高的识别率。
It was concluded that M-mode and two-dimensional color Doppler flow convergence region could be used to quantificate the area of mitral stenosis accurately.
结果表明，M型彩色多普勒血流会聚法与二维彩色多普勒血流会聚法在检测二尖瓣狭窄瓣口面积方面基本可靠，但两者的准确性无显著差异。
Torrential storm occurs in stronger frontal zone of energy, high humid region and water vapor flux convergence region.
大暴雪发生在较强的能量锋区、高湿区和水汽通量辐合区内。
Torrential storm occurs in stronger frontal zone of energy, high humid region and water vapor flux convergence region.
大暴雪发生在较强的能量锋区、高湿区和水汽通量辐合区内。
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