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Differentiability of the Minkowski function . II

Izvestiya: Mathematics, 2019
Abstract We prove new theorems on the derivative of the Minkowski function.
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Texture analysis using Minkowski functionals

SPIE Proceedings, 2012
Minkowski Functionals (MFs) are geometric measurements of 3D shapes, including volume, surface area, curvature and Euler number. MFs can be used as texture descriptors for medical image analysis in the segmentation of normal anatomy as well as in the detection/diagnosis of pathology.
Xiaoxing Li   +2 more
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Minkowski Functionals in Cosmology

1997
Ever since the first high-quality galaxy catalogues became available, statistics of large-scale structure has been an important tool to gain insight into the underlying physical processes and to allow for comparison of observations and predictions, both through theory and numerical experiment.
Jens Schmalzing, Martin Kerscher
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ON THE MINKOWSKI DIMENSION OF FUNCTIONAL DIGRAPH

Fractals, 2003
Functional digraphs are sometimes fractal sets. As a special kind of fractal sets, the dimension properties of the functional digraph are studied in this paper. Firstly, the proof of a Minkowski dimension theorem is discussed and a new proof is given.
Feng, Zhigang, Chen, Gang
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Characterization of Porous Media by Local Porosities, Minkowski Functionals and Non-Minkowski Functionals

Microscopy and Microanalysis, 2004
Extended abstract of a paper presented at Microscopy and Microanalysis 2004 in Savannah, Georgia, USA, August 1–5, 2004.
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Minkowski functionals of Poisson processes

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1984
This paper treats Poisson processes N with the convex ring S as state space, having a translation and rotation invariant intensity measure μ. Fixing a test set S 0∈S, denoting by Qk the random set of all points covered by N at least k times and collecting the Minkowski functionals in a generating function V, a simple formula is derived for the ...
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Minkowski terminal cost functions for MPC

Automatica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rakovic, S.V., Lazar, M.
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Hyperbolic Harmonic Function in Minkowski Space

Advances in Applied Clifford Algebras, 2006
The paper discusses the properties of four-dimensional Minkowski space by using Clifford algebra, then gives the concept of hyperbolic harmonic function by constructing a system (P4) in the four-dimensional Minkowski space, and obtains several properties and a sufficient and necessary condition for the solvability of the system (P4) .
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Seminorm generating relations and their Minkowski functionals

2000
In this paper the authors remark that if \(X\) is a linear space, then a multivalued mapping \(F:R_+\Rightarrow X\) (called a seminorm generating relation) has the properties: \(F(r)+F(s)\subset F(r+s)\) for all \(r,s\in R_+\); \(\lambda F(r)\subset F(tr)\) for all \(\lambda \in K\) (\(R\) or \(C\)) and \(r,t\in R_+\) with \(|\lambda|\leq t\), if and ...
Száz, Árpád, Túri, József
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Minkowski Functionals of L-Fuzzy Sets

1980
The Minkowski functional or gauge of an ordinary set plays an important part in several areas of mathematics, e.g. in the theory of locally convex spaces, optimization, etc. The aim of this paper is to introduce the concept of Minkowski functionals also in the case of L-fuzzy sets.
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