When there is more than one perspective to interpret a dataset, concordance (or discordance) between the result sets from the different perspectives plays an important role in getting refined results. For example, several clustering algorithms generate different results for the same input. To get useful insights, users need to combine different perspectives by checking concordance between those...

If a knot K has Seifert matrix VK and has a prime power cyclic branched cover that is not a homology sphere, then there is an infinite family of non–concordant knots having Seifert matrix VK . AMS Classification numbers Primary: 57M25 Secondary: 57N70

The classical knot concordance group, C1, was defined in 1961 by Fox [F]. He proved that it is nontrivial by finding elements of order two; details were presented in [FM]. Since then one of the most vexing questions concerning the concordance group has been whether it contains elements of finite order other than 2–torsion. Interest in this question was heightened by Levine’s proof [L1, L2] that...

A pair of linear orders L, L′ on an n-element set V is a concordance pair if the Kendall and Spearman correlation measures between L and L′ coincide. A graph is called concordance graph if it has the same number of induced three-vertex one-edged subgraphs as induced three-vertex twoedged subgraphs. It is known (see Fishburn and Monjardet (2000)) that (L, L′) is a concordance pair if and only if...

Let Knots be the abelian monoid of isotopy classes of knots S ⊂ S under connected sum, and let C be the topological knot concordance group of knots modulo slice knots. Cochran-OrrTeichner [COT03] defined a filtration of C: C ⊃ F(0) ⊃ F(0.5) ⊃ F(1) ⊃ F(1.5) ⊃ F(2) ⊃ . . . The quotient C/F(0.5) is isomorphic to Levine’s algebraic concordance group AC1 [Lev69]; F(0.5) is the algebraically slice kn...

We provide a framework for studying the interplay between concordance and positive mutation and identify some of the basic structures relating the two. The fundamental result in understanding knot concordance is the structure theorem proved by Levine: for n > 1 there is an isomorphism φ from the concordance group C n of knotted (2n−1)–spheres in S 2n+1 to an algebraically defined group G ± ; fu...

A semantic concordance is a textual corpus and a lexicon So combined that every substantive word in the text is linked to its appropriate ~nse in the lexicon. Thus it can be viewed either as a corpus in which words have been tagged syntactically and semantically, or as a lexicon in which example sentences can be found for many definitions. A semantic concordance is being constructed to u s e in...

A holdout problem arises when a disparately-owned good is desired by a prospective buyer only in its entirety, as in land assembly. Market design is crucial, as fully respecting property rights of many sellers eventually eliminates all trade. We propose a Concordance principle, inspired by Cournot (1838)’s theory of concours de producteurs: divide profits by exogenously and impose a Pigouvian t...

ownloade kground: Estimates of human papillomavirus (HPV) concordance among sexual partners are imporr various public health activities, from counseling individual patients to predicting the effect of HPV ation. thods:We systematically searched the PubMed and EMBASE databases for studies of HPV concordance heterosexual couples published through 2008 in English. Two coders independently abstract...

OBJECTIVE Spousal clustering of diabetes merits attention. Whether old-age vulnerability or a shared family environment determines the concordance of diabetes is also uncertain. This study investigated the spousal concordance of diabetes and compared the risk of diabetes concordance between couples and noncouples by using nationally representative data. METHODS A total of 22,572 individuals i...