Publications related to Intersection (set theory)

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

We consider sets L = {l(1),..., l(n)} of n labeled lines in general position in R-3, and study the order types of point sets {p(1),..., p(n)} that stem from the intersections of the lines in L with (directed) planes Pi, not parallel to any line of L, that ...

ELSEVIER SCIENCE BV2019

Caries Detection with Near-Infrared Transillumination Using Deep Learning

Henry Markram, Taylor Howard Newton, Francesco Casalegno

Dental caries is the most prevalent chronic condition worldwide. Early detection can significantly improve treatment outcomes and reduce the need for invasive procedures. Recently, near-infrared transillumination (TI) imaging has been shown to be effective ...

2019

Counting Intersecting and Pairs of Cross-Intersecting Families

Andrei Kupavskii

A family of subsets of {1, ... , n} is called intersecting if any two of its sets intersect. A classical result in extremal combinatorics due to Erdos, Ko and Rado determines the maximum size of an intersecting family of k-subsets of {1, ... , n}. In this ...

Cambridge Univ Press2018

Uniform s-Cross-Intersecting Families

Andrei Kupavskii

In this paper we study a question related to the classical Erdos-Ko-Rado theorem, which states that any family of k-element subsets of the set [n] = {1,..., n} in which any two sets intersect has cardinality at most ((n-1)(k-1)). We say that two non-empty ...

Cambridge Univ Press2017

Ambiguous Joint Chance Constraints under Mean and Dispersion Information

Daniel Kuhn, Grani Adiwena Hanasusanto, Wolfram Wiesemann

We study joint chance constraints where the distribution of the uncertain parameters is only known to belong to an ambiguity set characterized by the mean and support of the uncertainties and by an upper bound on their dispersion. This setting gives rise t ...

Informs2017

Configuration logics: Modeling architecture styles

Joseph Sifakis, Simon Bliudze, Anastasia Mavridou, Eduard Baranov

We study a framework for the specification of architecture styles as families of architectures involving a common set of types of components and coordination mechanisms. The framework combines two logics: 1) interaction logics for the specification of arch ...

Elsevier Science Inc2017

Outcomes of the RILEM round robin on degree of reaction of slag and fly ash in blended cements

Karen Scrivener, Barbara Lothenbach, Mohsen Ben Haha, Pawel Tadeusz Durdzinski

Working group 2 of the RILEM TC 238-SCM undertook a comparison of laboratories and techniques for the quantification of the degree of reaction of supplementary cementitious materials in blended cements. A common set of binary pastes of Portland cement with ...

Springer Verlag2017

Structural Features of the Box C/D snoRNP Pre-assembly Process Are Conserved through Species

Benjamin Marcel Daniel Rothé

Box C/D small nucleolar ribonucleoparticles (snoRNPs) support 2'-O-methylation of several target RNAs. They share a common set of four core proteins (SNU13, NOP58, NOP56, and FBL) that are assembled on different guide small nucleolar RNAs. Assembly of thes ...

Cell Press2016

Some New Results On Differential Inclusions For Differential Forms

Bernard Dacorogna, Olivier Kneuss, Saugata Bandyopadhyay

In this article we study some necessary and sufficient conditions for the existence of solutions in W-0(1,infinity) (Omega; Lambda(k)) of the differential inclusion d omega is an element of E a.e. in Omega where E subset of Lambda(k+1) is a prescribed set. ...

Amer Mathematical Soc2015

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Intersection (set theory)

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Caries Detection with Near-Infrared Transillumination Using Deep Learning

Counting Intersecting and Pairs of Cross-Intersecting Families

Matching fields and lattice points of simplices

Uniform s-Cross-Intersecting Families

Ambiguous Joint Chance Constraints under Mean and Dispersion Information

Configuration logics: Modeling architecture styles

Outcomes of the RILEM round robin on degree of reaction of slag and fly ash in blended cements

Structural Features of the Box C/D snoRNP Pre-assembly Process Are Conserved through Species

Some New Results On Differential Inclusions For Differential Forms

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Chat with Graph Search

Cross-sections of line configurations in R-3 and (d-2)-flat configurations in R-d

Caries Detection with Near-Infrared Transillumination Using Deep Learning

Matching fields and lattice points of simplices

Some New Results On Differential Inclusions For Differential Forms

Counting Intersecting and Pairs of Cross-Intersecting Families

Outcomes of the RILEM round robin on degree of reaction of slag and fly ash in blended cements

Ambiguous Joint Chance Constraints under Mean and Dispersion Information

Configuration logics: Modeling architecture styles

Uniform s-Cross-Intersecting Families

Structural Features of the Box C/D snoRNP Pre-assembly Process Are Conserved through Species