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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

And yet it moves: Paradoxically moving linkages in kinematics
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by Josef Schicho HTML | PDF
Bull. Amer. Math. Soc. 59 (2022), 59-95 Request permission

Abstract:

The possible configurations of a mechanical linkage correspond to the solutions of a system of algebraic equations. We can estimate the dimension of the solution set by counting free parameters and equational constraints. But this estimate does not always give the correct answer: sometimes the linkage moves although it should not. In this paper, we give mathematical explanations for this unexpected mobility.
References
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Additional Information
  • Josef Schicho
  • Affiliation: Johannes Kepler University, Linz, Austria
  • MR Author ID: 332588
  • Received by editor(s): March 23, 2020
  • Published electronically: March 24, 2021
  • Additional Notes: This work was supported by the Austrian Science Fund (FWF): P31061.
  • © Copyright 2021 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 59 (2022), 59-95
  • MSC (2020): Primary 52A27, 70B15, 52C25
  • DOI: https://doi.org/10.1090/bull/1721
  • MathSciNet review: 4340827