Results 61 to 70 of about 1,411 (284)
In this paper we study submonoids of the monoid $\mathscr{I}_{\infty}^{\,\Rsh\!\!\nearrow}(\mathbb{N})$ of almost monotone injective co-finite partial selfmaps of positive integers $\mathbb{N}$.
O.V. Gutik, A.S. Savchuk
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On Extensions of Partial Isometries
In this paper we define a notion of S-extension for a metric space and study minimality and coherence of S-extensions. We show that every S-extension can be identified with an algebraic object. We use this algebraic representation to give a complete characterization of all finite minimal S-extensions of a given finite metric space and a complete ...
Mahmood Etedadialiabadi, Su Gao
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernández-Polo, Francisco J +1 more
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Approximation by partial isometries [PDF]
Let B(H) be the algebra of bounded linear operators on a complex separable Hilbert space H. The problem of operator approximation is to determine how closely each operator T ∈B(H) can be approximated in the norm by operators in a subset L of B(H). This problem is initiated by P. R.
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On low-dimensional partial isometries
Two statements concerning $n$-by-$n$ partial isometries are being considered: (i) these matrices are generic, if unitarily irreducible, and (ii) if nilpotent, their numerical ranges are circular disks. Both statements hold for $n\leq 4$ but fail starting with $n=5$.
Qixiao He +2 more
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Global and Local Isometry-Invariant Descriptor for 3D Shape Comparison and Partial Matching
In this paper, based on manifold harmonics, we propose a novel framework for 3D shape similarity comparison and partial matching. First, we propose a novel symmetric mean-value representation to robustly construct high-quality manifold harmonic bases on ...
Luo, Tao +9 more
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This work presents a robotic control method for human–robot collaborative assembly based on a biomechanics‐constrained digital human model. Reinforcement learning is used to generate physiologically plausible human motion trajectories, which are integrated into a virtual environment for robot control learning.
Bitao Yao +4 more
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A combinatorial proof of the extension property for partial isometries [PDF]
We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.
Jan Hubicka +2 more
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3D‐Printing Aided Rapid Prototyping of Pretensioned Tensegrity Structures for Robotic Applications
Printing, injection molding, and assembly (PMA) is a method for rapid prototyping mesoscale, topologically complex, and tensioned tensegrity structures. In combination with PMA method, two mold design strategies: modular mold and compact channel layout, enable efficiency and scalability for tensegrity fabrication.
Yi Sun +3 more
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A method for constructing idempotents in a unital algebra
A method is proposed for constructing idempotents in a unital algebra 𝒜 using n arbitrary idempotents P1,...,Pn from this algebra. The properties of the resulting idempotents P = P(P1,...,Pn) are investigated; for n = 2 and n = 3, explicit forms of the ...
M. Khadour
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