摘要
设一个n阶行列式的每个元素以1/2的概率取偶数,1/2的概率取奇数,则该行列式的值只能是整数。 当n≥2时不难猜测行列式的值取奇数的概率较小,本文的目的在于精确地计算出这一概率。
Let |A| be a n - determinant, each element of |A| takes even number with probability 1/2 and odd number with probabilty 1/2 too. The value of |A| is integer, obviusly. It is not difficulty to guess that; P{[A| takes even number}>P{ |A| takes odd number}. In this paper, we will calculae the the probability accurately.
出处
《湘潭师范学院学报（社会科学版）》
1989年第3期20-22,共3页
Journal of Xiangtan Normal University(Social Science Edition)
关键词
行列式
偶数
奇数
概率
determinant
odd number
even number
probability.
