Results 61 to 70 of about 35,567 (199)
Euler‐Top Gaussian Modes: Structured Beams From Quadratic Angular Momentum Dynamics
Nanophotonics, Volume 15, Issue 9, 13 May 2026.A new family of structured Gaussian light beams are introduced: Euler‐top Gaussian modes. Their ray‐orbital paths on the Gaussian Poincaré sphere correspond to the polhodes of the Euler top in classical angular momentum theory. This geometric and algebraic construction reveals a nonseparable mode family extending the familiar Hermite‐, Laguerre‐ and ...
Mark R. Dennis, Kerr Maxwell
wiley +1 more source
Unified Spatial Intersection Algorithms Based on Conformal Geometric Algebra [PDF]
Mathematical Problems in Engineering, 2016 Conformal Geometric Algebra has been introduced into geographic information science as a mathematical theory because of its advantages in terms of uniform multidimensional representation and computation. The traditional intersection computation between two geometric objects of different types is not unified.
Feng Zhang +5 more
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MachinesThis paper presents a geometric approach to solve the inverse kinematics for an anthropomorphic robotic arm with seven degrees of freedom (DoF). The proposal is based on conformal geometric algebra (CGA), by which many geometric primitives can be ...
Oscar Carbajal-Espinosa +2 more
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Conformal boundary conditions, loop gravity and the continuum
Journal of High Energy Physics, 2018 In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum.
Wolfgang Wieland
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Lorentzian homogeneous structures with indecomposable holonomy
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
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Recent Applications of Conformal Geometric Algebra [PDF]
, 2005 We discuss a new covariant approach to geometry, called conformal geometric algebra, concentrating particularly on applications to projective geometry and new hybrid geometries. In addition, a new method of working, which can achieve similar results, but using only one extra dimension instead of two, is also discussed.
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Surface Approximation using Growing Self-Organizing Nets and Gradient Information
Applied Bionics and Biomechanics, 2007 In this paper we show how to improve the performance of two self-organizing neural networks used to approximate the shape of a 2D or 3D object by incorporating gradient information in the adaptation stage. The methods are based on the growing versions of
Jorge Rivera-Rovelo +1 more
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NMR Protein Structure Calculation and Sphere Intersections
Computational and Mathematical Biophysics, 2020 Nuclear Magnetic Resonance (NMR) experiments can be used to calculate 3D protein structures and geometric properties of protein molecules allow us to solve the problem iteratively using a combinatorial method, called Branch-and-Prune (BP).
Lavor Carlile +3 more
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, 2002 We study D-branes in the bosonic closed string theory whose automorphism group is the Bimonster group (the wreath product of the Monster simple group with Z_2).
Craps, Ben +2 more
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Self‐Affine Scaling of Earth's Islands
Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.Abstract Earth's relief is approximately self‐affine, meaning a zoom‐in on a small region looks statistically similar to a large region upon rescaling. Fractional Brownian surfaces give an idealized self‐affine model of Earth's relief with one parameter, the Hurst exponent H $H$, characterizing the roughness of the surface.
Matthew Oline +4 more
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