Results 31 to 40 of about 5,204 (224)
Minkowski functionals of Abell/ACO clusters [PDF]
We determine the Minkowski functionals for a sample of Abell/ACO clusters, 401 with measured and 16 with estimated redshifts. The four Minkowski functionals (including the void probability function and the mean genus) deliver a global description of the spatial distribution of clusters on scales from $10$ to $60\hMpc$ with a clear geometric ...
Kerscher M. +8 more
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ObjectivesThe extent of peritumoral tumor cell infiltrations in glioblastoma contributes to poor prognosis. We aimed to assess additive prognostic value of Minkowski functionals in analyzing heterogeneity of peritumoral hyperintensity on T2WI in ...
Yangsean Choi +7 more
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Quark Mass Function from an OGE-type Interaction in Minkowski Space [PDF]
We present results for the quark mass function in Minkowski space calculated from an interaction kernel that consists of an effective one-gluon-exchange and a constant interaction.
Biernat, Elmar P. +4 more
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CONDITIONS OF WEAK PRACTICAL STABILITY OF DIFFERENTIAL INCLUSIONS WITH IMPULSE IMPACT
The properties of maximum sets of weak practical stability for systems with impulse impact are considered, compactness of initial data set is proven.
Ya.N. Linder, V.V. Pichkur
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A method for packing irregular particles with a prescribed volume fraction is proposed. Furthermore, the generated granular material adheres to the prescribed statistical distribution and satisfies the desired complex spatial arrangement.
Libing Du +3 more
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The equivariant minkowski problem in minkowski space [PDF]
The classical Minkowski problem in Minkowski space asks, for a positive function $\phi$ on $\mathbb{H}^d$, for a convex set $K$ in Minkowski space with $C^2$ space-like boundary $S$, such that $\phi(\eta)^{-1}$ is the Gauss--Kronecker curvature at the ...
Bonsante, Francesco +3 more
core +1 more source
Path length distribution in two-dimensional causal sets
We study the distribution of maximal-chain lengths between two elements of a causal set and its relationship with the embeddability of the causal set in a region of flat spacetime.
M. Aghili, L. Bombelli, B. B. Pilgrim
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Minkowski Functionals in Cosmology
Minkowski functionals provide a novel tool to characterize the large-scale galaxy distribution in the Universe. Here we give a brief tutorial on the basic features of these morphological measures and indicate their practical application for simulation data and galaxy redshift catalogues as examples.
Schmalzing J., Kerscher M., Buchert T.
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Orthogonal polynomials for Minkowski’s question mark function [PDF]
Hermann Minkowski introduced a function in 1904 which maps quadratic irrational numbers to rational numbers and this function is now known as Minkowski's question mark function since Minkowski used the notation $?(x)$. This function is a distribution function on $[0,1]$ which defines a singular continuous measure with support $[0,1]$.
Zoé Dresse, Walter Van Assche
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Quantum Theory of Massless Particles in Stationary Axially Symmetric Spacetimes
Quantum equations for massless particles of any spin are considered in stationary uncharged axially symmetric spacetimes. It is demonstrated that up to a normalization function, the angular wave function does not depend on the metric and practically is ...
Amnon Moalem, Alexander Gersten
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