阿贝尔不等式 Abel's inequality
(重定向自Abel inequality)
阿贝尔不等式(Abel's inequality),由尼尔斯·阿贝尔提出,给出了两个矢量内积绝对值的上界。
设{a1, a2,...}为单调递减或单调递增的实数集并设{b1, b2,...}为实数集或复数集。
如果{an}单调递增:
如果{an}单调递减:
阿贝尔不等式可从阿贝尔变换轻易得出:
单词 | Abel inequality |
释义 |
Abel inequality
中文百科
阿贝尔不等式 Abel's inequality(重定向自Abel inequality)
阿贝尔不等式(Abel's inequality),由尼尔斯·阿贝尔提出,给出了两个矢量内积绝对值的上界。 设{a1, a2,...}为单调递减或单调递增的实数集并设{b1, b2,...}为实数集或复数集。 如果{an}单调递增: 如果{an}单调递减: 阿贝尔不等式可从阿贝尔变换轻易得出:
英语百科
Abel's inequality 阿贝尔不等式(重定向自Abel inequality)
In mathematics, Abel's inequality, named after Niels Henrik Abel, supplies a simple bound on the absolute value of the inner product of two vectors in an important special case. Let {a1, a2,...} be a sequence of real numbers that is either nonincreasing or nondecreasing, and let {b1, b2,...} be a sequence of real or complex numbers. If {an} is nondecreasing, it holds that |
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