Journal article
Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors
The American mathematical monthly, v 130(3), pp 251-266
16 Mar 2023
Abstract
When an observer looks at a curved mirror, they may sense that a nonlinear map is at work. Here we consider the problem of finding the mirror that realizes a given map. The natural language for such problems is that of planar distributions, and one tool for testing for the existence of solutions is the Frobenius theorem. For situations where exact solutions do not exist, we describe an approximation method that can give good results for applications. Our examples will include non-reversing mirrors, panoramic mirrors, and automotive mirrors without blind spots.
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Details
- Title
- Frobenius Integrability, Automotive Blind Spots, Non-reversing Mirrors, and Panoramic Mirrors
- Creators
- Elim Hicks - Cooper UnionR. Andrew Hicks - Drexel University, MathematicsRon Perline - Drexel University, MathematicsSarah G. Rody - Chestnut Hill Coll, Philadelphia, PA 19104 USA
- Publication Details
- The American mathematical monthly, v 130(3), pp 251-266
- Publisher
- Taylor & Francis
- Number of pages
- 16
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000915722200001
- Scopus ID
- 2-s2.0-85146987408
- Other Identifier
- 991021876812704721
InCites Highlights
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- Web of Science research areas
- Mathematics