On the number of real roots of a random algebraic equation. II

On the number of real roots of a random algebraic equation. II
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关于随机代数方程的实根数。

DOI:
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发表时间:
1939
影响因子:
0.8
通讯作者:
E. Evans
E. Evans
中科院分区:
数学2区
文献类型:
--
作者:
E. Evans

文献摘要

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随机选取一个具有真实的系数和给定次数n的方程,期望它有多少个真实的根?本系列论文涉及这个问题和由此产生的问题,我们得出的结果在我们的论文I(具有相同的总标题)中未经证明地陈述,其中还包含一些介绍性的评论,我们可以参考感兴趣的读者。在这里我们总结如下。
An equation with real coefficients and given degree n being selected at random, about how many real roots may it be expected to have? The present series of papers is concerned with this question and matters arising out of it. The results we have arrived at were stated without proof in our paper I (with the same general title), which contains also some introductory remarks to which we may refer the interested reader. Here we summarize as follows.