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中文摘要：
基于系统分段退化的思想，本文提出了一类新的随机过程一更新几何过程．针对这一新的随机过程，给出了更新几何函数、拟更新几何年龄和拟剩余更新几何寿命的定义，并研究了它们的相关性质．最后，一个数值例子模拟了相关的理论结果．
英文摘要：
In this paper, the concept of renewal-geometry process is put forward based on the idea of stage deterioration of system. The definitions of renewal-geometry function, the quasi renewal-geometry age and quasi residual renewal-geometry life for the new stochastic process are given, The related properties of renewal-geometry process are studied. Finally, the related theory results are simulated by an example.
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Removing Gaussian noise for color images by quaternion representation and optimization of weights in
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