Results 31 to 40 of about 4,856 (294)

A Parametric Shape Model Applied to Tracing the Migration of the Objects Near an Asteroid

open access: yesEarth and Space Science, 2021
In the past decades, space missions to small bodies (Galileo, OSIRIS‐REx, Hayabusa, Hayabusa2, Chang'e 2, Rosetta, etc.) have enriched us greatly with voluminous new knowledge on our solar system.
Z. J. Yan   +5 more
doaj   +1 more source

Singularities of mappings: the local behaviour of smooth and complex analytic mappings

open access: yes, 2020
The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings.
Mond, David   +2 more
core   +1 more source

Classification of phase singularities for complex scalar waves [PDF]

open access: yes, 2006
Motivated by the importance and universal character of phase singularities which are clarified recently, we study the local structure of equi-phase loci near the dislocation locus of complex valued planar and spatial waves, from the viewpoint of ...
ADACHI, Jiro, ISHIKAWA, Go-o
core   +1 more source

The optical singularities of birefringent dichroic chiral crystals

open access: yes, 2003
Using a new formalism involving projection from the sphere of directions to the stereographic plane, and associated complex variables, explicit formulae are obtained for the two refractive indices and polarizations in optically anisotropic crystals that ...
Dennis, MR   +7 more
core   +1 more source

Hodge–Lyubeznik numbers

open access: yesComptes Rendus. Mathématique
We define a Hodge-theoretical refinement of the Lyubeznik numbers for local rings of complex algebraic varieties. We prove that these numbers are independent of the choices made in their definition and that, for the local ring of an isolated singularity,
García López, Ricardo, Sabbah, Claude
doaj   +1 more source

Brown measures of deformed $L^\infty $ -valued circular elements

open access: yesForum of Mathematics, Sigma
We consider the Brown measure of $a+\mathfrak {c}$ , where a lies in a commutative tracial von Neumann algebra $\mathcal {B}$ and $\mathfrak {c}$ is a $\mathcal {B}$ -valued circular element.
Johannes Alt, Torben Krüger
doaj   +1 more source

On Complex Singularity Analysis for Some Linear Partial Differential Equations in

open access: yesAbstract and Applied Analysis, 2013
We investigate the existence of local holomorphic solutions Y of linear partial differential equations in three complex variables whose coefficients are holomorphic on some polydisc in outside some singular set .
A. Lastra, S. Malek, C. Stenger
doaj   +1 more source

Beyond the average: Detecting global singular nodes from local features in complex networks [PDF]

open access: yesEPL (Europhysics Letters), 2009
Deviations from the average can provide valuable insights about the organization of natural systems. The present article extends this important principle to the systematic identification and analysis of singular motifs in complex networks. Six measurements quantifying different and complementary features of the connectivity around each node of a ...
Costa LD   +3 more
openaire   +3 more sources

Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime

open access: yes, 2001
As a parameter a is varied, the topology of nodal lines of complex scalar waves in space (i.e. their dislocations, phase singularities or vortices) can change according to a structurally stable reconnection process involving local hyperbolas whose ...
Dennis, MR   +5 more
core   +1 more source

Vanishing cycles of matrix singularities [PDF]

open access: yes, 2021
We study local singularities of holomorphic families of arbitrary square, symmetric and skew‐symmetric matrices, that is, of mappings of smooth manifolds to the matrix spaces.
Goryunov, Victor
core   +1 more source

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