Results 41 to 50 of about 45,419 (270)
Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points [PDF]
We study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a direction associated with an eigenvalue equal to $1$.
Baldomá, Inmaculada +2 more
core +3 more sources
Abstract The term semantic primitives refers to a set of basic, atomic concepts from which all other (compound) concepts are constructed. It presupposes the principle of compositionality—the idea that complex items or expressions can be formed by combining simpler constituents.
Birger Hjørland
wiley +1 more source
Perspective Projection of an Ellipse and an Ellipsoid for Analytical View Factor Evaluation
ABSTRACT Radiative view factors are fundamental quantities for evaluating radiative heat transfer between different surfaces. While analytical expressions of view factors have been evaluated for various types of basic geometries, including circular disks and spheres, extending these solutions to more complex geometries, such as ellipses and ellipsoids ...
Kaname Sasaki
wiley +1 more source
Statistical Theory of Asteroid Escape Rates [PDF]
Transition states in phase space are identified and shown to regulate the rate of escape of asteroids temporarily captured in circumplanetary orbits.
Farrelly, David +5 more
core +2 more sources
This study presents a hierarchical Raman‐based classification model for determining the elemental composition of garnets within complex solid‐solution systems. The workflow combines spectral preprocessing, dimensionality reduction, and two‐level classification: first distinguishing between pyralspite and ugrandite groups, and then classifying ...
Sofia Julve‐Gonzalez +17 more
wiley +1 more source
Interaction between celestial and terrestrial reference frames and some considerations for the next VLBI-based ICRF [PDF]
In this paper we outline several problems related to the realization of the international celestial and terrestrial reference frames ICRF and ITRF at the millimeter level of accuracy, with emphasis on ICRF issues. The main topics considered are: analysis
Lambert, Sebastien +3 more
core
A Note on Celestial Mechanics in Kerr Spacetime
The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a spinning black ...
Tiec, Alexandre Le
core +2 more sources
Metasurfaces in Adaptive Optics: A New Opportunity in Optical Wavefront Sensing
Wavefront sensing constitutes a critical component of adaptive optics systems, aimed at quantitatively measuring distorted wavefronts and enabling closed‐loop correction in optical setups. Metasurfaces, as planar optical elements composed of nanoscale structures, provide exceptional freedom in modulating multiple dimensions of the light field.
Rundong Fan +3 more
wiley +1 more source
The solutions of the equations of motion for a point mass particle under a conservative force field are generally constrained by a basic set of integrals of motion, which depend on the knowledge about the potential function and on time and space ...
Rafael Cubarsi
doaj +1 more source
Third derivatives of the integrable part of an asteroid Hamiltonian [PDF]
To apply the theorem of Nekhoroshev (1977) to asteroids, one first has to check whether a necessary geometrical condition is fulfilled: either convexity, or quasi-convexity, or only a 3-jet non-degeneracy.
Pavlović R.
doaj +1 more source

