Counting Zeros of Random Functions
IF 0.4
4区 数学
Q4 MATHEMATICS
引用次数: 0
Abstract
Abstract What is the expected number of roots of a polynomial whose coefficients are random? More generally, what is the expected number of zeros of a random one-variable function? The Kac-Rice formula is meant to answer such questions. This paper is an introduction to this less familiar formula and some of its one-dimensional applications.随机函数的零计数
摘要系数是随机的多项式的期望根数是多少？更一般地说，一个随机一变量函数的期望零数是多少？Kac-Rice公式就是为了回答这些问题。本文介绍了这个不太熟悉的公式及其一维应用。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
求助全文
约1分钟内获得全文
求助全文
来源期刊
American Mathematical Monthly
Mathematics-General Mathematics
CiteScore
0.80
自引率
20.00%
发文量
127
审稿时长
6-12 weeks
期刊介绍：
The Monthly''s readers expect a high standard of exposition; they look for articles that inform, stimulate, challenge, enlighten, and even entertain. Monthly articles are meant to be read, enjoyed, and discussed, rather than just archived. Articles may be expositions of old or new results, historical or biographical essays, speculations or definitive treatments, broad developments, or explorations of a single application. Novelty and generality are far less important than clarity of exposition and broad appeal. Appropriate figures, diagrams, and photographs are encouraged.
Notes are short, sharply focused, and possibly informal. They are often gems that provide a new proof of an old theorem, a novel presentation of a familiar theme, or a lively discussion of a single issue.
Abstracts for articles or notes should entice the prospective reader into exploring the subject of the paper and should make it clear to the reader why this paper is interesting and important. The abstract should highlight the concepts of the paper rather than summarize the mechanics. The abstract is the first impression of the paper, not a technical summary of the paper. Excessive use of notation is discouraged as it can limit the interest of the broad readership of the MAA, and can limit search-ability of the article.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
