以下为句子列表：
英文: A partitioned optimal filtering algorithm for multi-channel systems with multiplicative noise among observation channels is proposed.
中文: 摘要针对多通道观测环境下带乘性噪声系统的最优滤波问题，提出了1种状态最优滤波的分部算法。
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英文: At the same time, for the process additive and multiplicative uncertainties mostly encountered in practice, the sufficient and necessary conditions for holding the control system robust stability are analyzed, and thus, an intuitive determination method i
中文: 同时，对于实际中最常见的被控过程的加性和乘性不确定性，分析了控制系统保证鲁棒稳定性的充要条件，由此给出了基于谱半径判据的直观判定方法。
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英文: Based on the article [1], we discuss and prove two sufficient and necessary conditions of multiplicative convex functions. We also prove the other two theorems about multiplicative convex functions.
中文: 摘要在文献[1]的基础上，讨论并证明了积性凸函数的两个充分必要条件，同时证明了积性凸函数的另外两个定理。
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英文: Growth factor methods: These involve scaling an existing matrix by applying multiplicative factors (often derived from predicted productions and/or attractions) to matrix cells.
中文: 增长率法：通过对现有的矩阵（通常来源于预测的发生集中）乘以系数。
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英文: The primary advantage that elliptic curve systems have over systems based on the multiplicative group of a finite field (and also over systems based on the intractability of integer factorization) is the absence of a subexponential-time algorithm (such as
中文: 与基于有限域的乘法群系统(及基于整数分解的难解性之上的系统)相比,椭圆曲线系统的优势在于,迄今为止还没找到这类群上离散对数的次指数时间算法(如微积分类).
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