Some rigorous results can be derived using a very simple approach to hadron spectroscopy, in which a static potential is associated with non-relativistic kinematics. Several regularities of the experimental spectrum are explained by such models. It is underlined that certain methods developed for hadronic physics have found applications in other fields, in particular atomic physics. A few resul...

The information required for solving the inverse kinematic problem associated with any single-loop spatial mechanism is essentially stored in the inverse kinematic solution set of the orthogonal spherical mechanism (SS ÿ 3 for short). The ®rst part of this paper is devoted to the characterization of SS ÿ 3 in terms of its connectivity, singularities and symmetries. The second one focuses on ®nd...

Some rigorous results can be derived using a very simple approach to hadron spectroscopy, in which a static potential is associated with non-relativistic kinematics. Several regularities of the experimental spectrum are explained by such models. It is underlined that certain methods developed for hadronic physics have found applications in other fields, in particular atomic physics. A few resul...

We examine, in a general setting, a notion of inverse semigroup of left quotients, which we call left I-quotients. This concept has appeared, and has been used, as far back as Clifford’s seminal work describing bisimple inverse monoids in terms of their right unit subsemigroups. As a consequence of our approach, we find a straightforward way of extending Clifford’s work to bisimple inverse semi...

Let n, k be positive integers, with k ≤ n, and let τ be a fixed permutation of {1, . . . , k}. We will call τ the pattern. We will look for the pattern τ in permutations σ of n letters. A pattern τ is said to occur in a permutation σ if there are integers 1 ≤ i1 < i2 < . . . < ik ≤ n such that for all 1 ≤ r < s ≤ k we have τ(r) < τ(s) if and only if σ(ir) < σ(is). Example: Suppose τ = (132). Th...

This article presents a biomechanical model of the right arm, developped with respect to the functional anatomy of the human. This model is developped as a motion analysis tool. The main application issued from this model is the muscle forces estimation of the flexion/extension and internal rotation of the forearm joints. This estimation is based on an inverse dynamics method, improved with add...

The momenta of τ decay products in the reaction e + e − → τ + τ − do not constrain the τ direction unambiguously. It is shown how the measurement of tracks of hadrons from semileptonic τ decays, in particular their relative impact parameters, allows to resolve this ambiguity.

Robotica / Volume 34 / Issue 08 / August 2016, pp 1734 1753 DOI: 10.1017/S0263574716000138, Published online: 13 April 2016 Link to this article: http://journals.cambridge.org/abstract_S0263574716000138 How to cite this article: Jin Seob Kim and Gregory S. Chirikjian (2016). Inverse kinematic solutions of 6-D.O.F. biopolymer segments. Robotica, 34, pp 1734-1753 doi:10.1017/S0263574716000138 Req...