Title
From the Fundamental Theorem of Algebra to Kempe's Universality Theorem.
Abstract
This article provides a gentle introduction for a general mathematical audience to the factorization theory of motion polynomials and its application in mechanism science. This theory connects in a rather unexpected way a seemingly abstract mathematical topic, the non-unique factorization of certain polynomials over the ring of dual quaternions, with engineering applications. Four years after its introduction, it is already clear how beneficial it has been to both fields.
Year
Venue
Field
2015
CoRR
Dual quaternion,Algebra,Polynomial,Fundamental theorem of algebra,Pure mathematics,Factorization,Universality (philosophy),Mathematics
DocType
Volume
ISSN
Journal
abs/1507.05317
Internat. Math. Nachrichten, Nr. 229 (2015), 13-26
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
Gábor Hegedüs1367.38
Zijia Li241.90
Josef Schicho332.57
Hans-Peter Schröcker46013.17