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...

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...

A novel n(4-SPS+SP) serial-parallel manipulator (S-PM) formed by n 4-SPS+SP PMs with four degrees of freedom (DOF) connected in series is proposed in this paper. The kinematics , statics and stiffness modeJ of this seriaJ-PM is established. First , the forward kinematics of 4-SPS十SP (spherical jo口比-prismatic joint-revoJute十spherical joint-prismatic joint) PM is d 由er引l口附飞 SPS+SP) S-PM i 比s s 民t...

Background Accurate measurements of skeletal kinematics of the foot would increase our understanding on the interaction between foot and footwear. Previously foot kinematics was measured using reflective markers but the method had inherent limitation of skin marker-based methods. Recently fluoroscopic imaging-based methods has been developed and widely used to measure knee kinematics [1,2]. We ...

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...

This paper presents an algorithm for detecting and computing the cusp points in the joint space of 3-RPR planar parallel manipulators. In manipulator kinematics, cusp points are special points, which appear on the singular curves of the manipulators. The nonsingular change of assembly mode of 3-RPR parallel manipulators was shown to be associated with the existence of cusp points. At each of th...

In this paper we consider a complete dynamic model for the \Sphericle", a spherical vehicle that has been designed and realized in our laboratory. The sphericle is able to roll on the oor of the laboratory and reach arbitrary positions and orientations, through the use of only two motors placed within the rolling sphere. In this paper, we report on the derivation of the kinematic model of the S...