Rotating real-valued functions in the plane

被引：0

作者：

Bravo, Daniel ^{[1
]}

Fera, Joseph ^{[2
]}

机构：

[1] Univ Austral Chile, Inst Ciencias Fis & Matemat, Fac Ciencias, Valdivia, Chile

[2] Dept Math Comp Sci, Lehman Coll CUNY, Bronx, NY USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2015年 / 46卷 / 08期

关键词：

differentiable functions; plane rotation; mean value theorem;

D O I：

10.1080/0020739X.2015.1046960

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

Let f be a real-valued function defined over a subset of R. In the following article, we investigate the graph of f under rotation by a fixed angle about the origin. In particular, we give necessary and sufficient conditions on the angles of rotation which result in an image that still describes a function. We include several illuminating examples and use the converse of the mean value theorem to extend previously known results.

引用

页码：1259 / 1264

页数：6

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