Bahar Kalkan,Zijia Li,Hans-Peter Schröcker et al.
Bahar Kalkan et al.
We introduce the Study variety of conformal kinematics and investigate some of its properties. The Study variety is a projective variety of dimension ten and degree twelve in real projective space of dimension 15, and it generalizes the wel...
Daniel F Scharler,Hans-Peter Schröcker
Daniel F Scharler
We present an algorithm to compute all factorizations into linear factors of univariate polynomials over the split quaternions, provided such a factorization exists. Failure of the algorithm is equivalent to non-factorizability for which we...
Factorization of Dual Quaternion Polynomials Without Study's Condition [0.03%]
无需Study条件的双四元数多项式的因式分解
Johannes Siegele,Martin Pfurner,Hans-Peter Schröcker
Johannes Siegele
In this paper we investigate factorizations of polynomials over the ring of dual quaternions into linear factors. While earlier results assume that the norm polynomial is real ("motion polynomials"), we only require the absence of real poly...
Daniel F Scharler,Johannes Siegele,Hans-Peter Schröcker
Daniel F Scharler
We investigate factorizability of a quadratic split quaternion polynomial. In addition to inequality conditions for existence of such factorization, we provide lucid geometric interpretations in the projective space over the split quaternio...
Arkadiusz Jadczyk
Arkadiusz Jadczyk
Glenn M. Harris; G. Stacey Staples
Glenn M. Harris; G. Stacey Staples
Tutschke, Wolfgang
Tutschke
Flaut, Cristina; Shpakivskyi, Vitalii
Flaut
Arkadiusz Jadczyk
Arkadiusz Jadczyk
Arif Salimov; Seher Aslanci
Arif Salimov; Seher Aslanci