On the Principle of Transference and its Impact on Robotic Innovation

TitleOn the Principle of Transference and its Impact on Robotic Innovation
Publication TypePresentation
Year of Publication2021
AuthorsBongardt B
Conference NameKIT Science Week / DGR Days 2021
Date Published10/2021
Abstract

The principle of transference has been formulated by Alexander Petrovich Kotelnikov and Eduard Study more than hundred years ago. The principle claims that “algebraic identities of ordinary trigonometry hold true for dual angles” in coherence with [2]. With respect to the geometry of space, “the principle of transference says that expressions concerning systems of position vectors remain true for systems of lines if the vectors are replaced by the corresponding dual vectors.” [3]. From the author’s point of view, the potential of the principle of transference has not been fully employed as of today: in first regard, for computational purposes in theoretical mechanics and, in second regard, for the development of innovative applications in robotics.