Results 101 to 110 of about 14,402,713 (324)
Journal of the American Mathematical Society, 2000 The braid group B n B_n can be defined as the mapping class group of the n n -punctured disk. A group is said to be linear if it admits a faithful representation into a group of matrices over R \mathbf R .
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On the Pure Virtual Braid Group PV3 [PDF]
, 2009 We investigate various properties of the pure virtual braid group PV3. Out of its presentation, we get a free product decomposition of PV3. As a consequence, we show that PV3 is residually torsion free nilpotent, what implies that the set of the finite ...
V. Bardakov +3 more
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A Soft Robotic Device for Targeted Massage Therapy of Residual Limbs
Advanced Robotics Research, EarlyView.Residual limb edema after amputation can hinder recovery and delay prosthetic fitting. This study presents a soft‐robotic wearable device that delivers sequential compression through pneumatic McKibben actuators. By replicating the principles of manual lymphatic drainage, the device generates controlled mechanotherapeutic pressure patterns, providing a
Maria Grazia Polizzotto +5 more
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Topology and Algebra of Bonded Knots and Braids
MathematicsIn this paper we present a detailed study of bonded knots and their related structures, integrating recent developments into a single framework. Bonded knots are classical knots endowed with embedded bonding arcs modeling physical or chemical bonds.
Ioannis Diamantis +2 more
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Cross‐Scale Hierarchical Targeted Delivery System Based on Small‐Scale Magnetic Robots
Advanced Robotics Research, EarlyView.This article reviews a cross‐scale hierarchical targeted delivery system that integrates magnetic continuum robots and magnetic microrobots. By combining rapid long‐range navigation with precise microscale targeting, the system overcomes key limitations of single‐scale approaches.
Junjian Zhou +4 more
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Entropy, 2017 We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
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Yang-Yang functions, monodromy and knot polynomials
Journal of High Energy Physics, 2021 We derive a structure of ℤ[t, t −1]-module bundle from a family of Yang-Yang functions. For the fundamental representation of the complex simple Lie algebra of classical type, we give explicit wall-crossing formula and prove that the monodromy ...
Peng Liu, Wei-Dong Ruan
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Journal of Knot Theory and Its Ramifications, 2015 In this paper, we introduce [Formula: see text]-braids and, more generally, [Formula: see text]-braids for an arbitrary group [Formula: see text]. They form a natural group-theoretic counterpart of [Formula: see text]-knots, see [V. O. Manturov; Reidemeister moves and groups, preprint (2014), arXiv:1412.8691].
Fedoseev, Denis A. +2 more
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Strategic Design of Soft Actuators in Translational Medical Robotics for Human‐Centered Healthcare
Advanced Robotics Research, EarlyView.Soft robotics enables biocompatible, compliant medical devices, but clinical translation requires design‐driven engineering beyond materials. This perspective reviews implantable, surgical, and wearable systems by actuation mechanism, highlighting how optimized architectures and integration improve mechanical interfacing, adaptability, and durability ...
Ho Jun Jin +3 more
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Relative Nielsen Numbers, Braids and Periodic Segments
Advanced Nonlinear Studies, 2017 The aim of this paper is to establish a connection between the method of period segments and the relative Nielsen fixed point theory. We prove that if W is a periodic segment over [0,T]{[0,T]} for the T-periodic semi-process Φ, then the Poincaré map P ...
Wójcik Klaudiusz
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