[PDF] Top 20 Outer measures and associated lattice properties
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Outer measures and associated lattice properties
... Zero-one measure characterizations of lattice properties such as normality are extended to more general measures.. For a given measure, we consider two associated "outer" measures and at[r] ... See full document
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On finitely subadditive outer measures and modularity properties
... 1. Introduction. Let X be an arbitrary nonempty set and ν a finite, finitely subadditive outer measure on P (X) . ρ denotes the set function defined by ρ(E) = ν(X) − ν(E ) , E ⊂ X . We investigate conditions for ρ to ... See full document
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On Constructing Finite, Finitely Subadditive Outer Measures, and Submodularity
... We begin by recalling the basic construction and properties of ν. For emphasis, let X be a nonempty set and let C be a covering class of subsets of X, with ∅, X ∈ C and C closed under finite intersections. Let ν ... See full document
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Lattice separation, coseparation and regular measures
... Outer measures associated with lattice measures, lattice separation and coseparation, weak regularity properties of measures.. 1991 AMS SUBJECT CLASSIFICATION CODE.[r] ... See full document
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On outer measures and semi separation of lattices
... 3 DEFINITIONS OF It’, It" AND THEIR BASIC PROPERTIES In this section we examine two set functions It", It’ that are related to a measure I.telL or Itlo*, L .First we look at at It" which[r] ... See full document
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Lattice separation and measures
... certain lattice separation properties affect various measures defined on the algebra generated by the ...certain associated outer measures is assured on various ... See full document
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Outer measures and weak regularity of measures
... This paper investigates smoothness properties of probability measures on lattices which imply egularit.v, and then considers weaker versions of regularity; in particular, weakly regular,[r] ... See full document
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Applications of outer measures to separation properties of lattices and regular or σ smooth measures
... In this paper, we show how these outer measures can be used systematically to establish separation properties between lattices, and also for establishing regularity of measures or the do[r] ... See full document
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Outer measure analysis of topological lattice properties
... consequences of separation properties between the pair of lattices in terms of these outer measures, and further demonstrate the extension of smoothness conditions on 1 to 2 KEY WORDS AN[r] ... See full document
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Some remarks concerning finitely Subadditive outer measures with applications
... FINITELY SUBADDITIVE OUTER MEASURES In this section we examine the general concept of a finitely subadditive outer measure along with its related properties and its associated finitely a[r] ... See full document
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Outer measures, measurability, and lattice regular measures
... the interplay between the measurable sets associated with these outer measures, regularity properties of the measures, smoothness properties of the measures, and lattice topological prop[r] ... See full document
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Outer measures associated with lattice measures and their application
... INTRODUCTION Our first aim in this paper is see Section 3 to obtain further properties of two outer measures it’ and it" see below for definitions associated first with it C I/; and it E[r] ... See full document
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Characterizations of outer measures associated with lattice measures
... subadditive outer measure defined on all subsets of a set X, take a collection C of subsets of X containing X and ∅, we derive an outer measure ρ using ν on sets in ...the outer measure µ ... See full document
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Some Restricted Plane partitions and Associated Lattice Paths
... Direct Bijection: Consider an associated lattice path enumerated by C(ν). Each TITS of this path corresponds to a column of plane partition enumerated by Q(ν) arranged in decreasing order of weights of ... See full document
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Probabilistic Embedding of Knowledge Graphs with Box Lattice Measures
... We take the dual approach to density-based embeddings and model uncertainty about rela- tionships and attributes as explicitly probabilistic, while basing the probability on a latent space of geometric objects that obey ... See full document
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On Alexandrov lattices
... By an Alexandrov lattice we mean a $ normal lattice of subsets of an abstract set x, such that the set of/.-regular countably additive bounded measures is sequentially closed in the set [r] ... See full document
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Beyond Complex Langevin Equations: positive representation of a class of complex measures
... In view of the above problems, the natural question to ask is wether one can construct the positive distribution P(x, y) from the "matching conditions" (1) alone without any reference to the problematic complex ... See full document
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Outer measures and weak type estimates of Hardy Littlewood maximal operators
... He proved this theorem by some variant of Vitali’s covering lemma and Lindel¨of ’s covering lemma. He did not use outer measure which we used to prove this theorem. He showed the sharpness of the result by using ... See full document
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Properties of complements in the lattice of convergence structures
... vergence structure lattices, especially the lattices of Kent convergence structures and the lattice of pretopologies... Convergence space properties preserved by.[r] ... See full document
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Biochemical properties of the outer membrane of Treponema denticola
... The 66- and 53-kDa bands were present in serovars b and c but were absent in serovar a, while a band with an approximate relative molecular mass of 45 kDa was present in serovar c but no[r] ... See full document
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