Results 21 to 30 of about 3,297,362 (328)

Robot grasping and regrasping kinematics using Lie algebra, the geodesic, and Riemann curvature tensor [PDF]

open access: yesArchives of Control Sciences, 2023
Differential geometry is a strong and highly effective mathematical subject for robot gripper design when grasping within the predetermined trajectories of path planning.
Haydar Sahin
doaj   +1 more source

Explicit Information Geometric Calculations of the Canonical Divergence of a Curve

open access: yesMathematics, 2022
Information geometry concerns the study of a dual structure (g,∇,∇*) upon a smooth manifold M. Such a geometry is totally encoded within a potential function usually referred to as a divergence or contrast function of (g,∇,∇*).
Domenico Felice, Carlo Cafaro
doaj   +1 more source

Evaluation of Linearization Methods for Control of the Pendubot

open access: yesApplied Sciences, 2021
The aim of this paper is to test the usefulness of a new approach based on partial feedback linearization to control the Pendubot. The control problem stated in the article is to stabilize the Pendubot in the upright position.
Paweł Parulski   +2 more
doaj   +1 more source

Hypergraph p-Laplacian: A Differential Geometry View [PDF]

open access: yesAAAI Conference on Artificial Intelligence, 2017
The graph Laplacian plays key roles in information processing of relational data, and has analogies with the Laplacian in differential geometry.
Shota Saito, D. Mandic, Hideyuki Suzuki
semanticscholar   +1 more source

Multilocal invariants for the classical groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way.
Paul F. Dhooghe
doaj   +1 more source

Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]

open access: yesSahand Communications in Mathematical Analysis
In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi   +2 more
doaj   +1 more source

Discrete Differential Geometry [PDF]

open access: yesOberwolfach Reports, 2006
Workshop ...
Alexander I. Bobenko   +3 more
openaire   +2 more sources

Design of developable surfaces using the given data points

open access: yesJournal of Advanced Mechanical Design, Systems, and Manufacturing, 2021
Many products such as ships, buildings, and clothes contain developable surfaces generated by sweeping a straight line along a three-dimensional curve.
Kotaro YOSHIDA   +4 more
doaj   +1 more source

ON FAMILIES IN DIFFERENTIAL GEOMETRY [PDF]

open access: yesInternational Journal of Geometric Methods in Modern Physics, 2013
Families of objects appear in several contexts, like algebraic topology, theory of deformations, theoretical physics, etc. An unified coordinate-free algebraic framework for families of geometrical quantities is presented here, which allows one to work without introducing ad hoc spaces, by using the language of differential calculus over commutative ...
openaire   +3 more sources

Physics-to-Geometry Transformation to Construct Identities between Reynolds Stresses

open access: yesMathematics, 2023
Modeling has become firmly established as a methodology to close the Reynolds-averaged Navier–Stokes (RANS) equations, owing to theoretical and empirical efforts towards a complete formulation of the Reynolds stress tensor and, recently, breakthroughs in
Sungmin Ryu
doaj   +1 more source

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