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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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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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Fuzzy Clustering with Minkowski Distance Functions

2007
Since Ruspini (1969) first proposed the idea of fuzzy partitions, fuzzy clustering has grown to be an important tool for data analysis and modeling. Especially after the introduction of the fuzzy c-means algorithm (Bezdek, 1973; Dunn, 1973), objective function-based fuzzy clustering has received much attention from the scientific community as well as ...
Groenen, Patrick J.F.   +2 more
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Regular Black Holes with Asymptotically Minkowski Cores

Universe, 2020
Alexander Marcus Simpson, Matt Visser
exaly  

An inequality related to Minkowski type for Sugeno integrals

Information Sciences, 2010
Yao Ouyang, Hamzeh Agahi
exaly  

General Minkowski type inequalities for Sugeno integrals

Fuzzy Sets and Systems, 2010
Hamzeh Agahi, Yao Ouyang
exaly  

Rationality of Conformally Invariant Local Correlation Functions on Compactified Minkowski Space

Communications in Mathematical Physics, 2001
Nikolay Mitov Nikolov
exaly  

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