Results 1 to 10 of about 849,021 (91)
Partitioned binary relations [PDF]
We define the category of partitioned binary relations and show that it contains many classical diagram categories, including categories of binary relations, maps, injective maps, partitions, (oriented) Brauer diagrams and (oriented) Temperley-Lieb diagrams.
Paul Martin, Volodymyr Mazorchuk
arxiv +3 more sources
Mitsch's order and inclusion for binary relations and partitions [PDF]
Mitsch's natural partial order on the semigroup of binary relations is here characterised by equations in the theory of relation algebras. The natural partial order has a complex relationship with the compatible partial order of inclusion, which is ...
FitzGerald, D. G.
core +8 more sources
Compact Binary Relation Representations with Rich Functionality [PDF]
Binary relations are an important abstraction arising in many data representation problems. The data structures proposed so far to represent them support just a few basic operations required to fit one particular application.
Barbay, Jérémy+2 more
core +3 more sources
Groups of Binary Operations and Binary $G$-Spaces [PDF]
The group of continuous binary operations on a topological space is studied; its relationship with the group of homeomorphisms is established. The category of binary $G$-spaces and bi-equivariant maps is constructed, which is a natural extension of the category of $G$-spaces and equivariant maps.
arxiv +1 more source
Selective Games on Binary Relations [PDF]
We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them.Comment: 28 ...
Dias, Rodrigo R., Scheepers, Marion
core +1 more source
Quasiuniversal properties of neutron star mergers [PDF]
Binary neutron star mergers are studied using nonlinear 3+1 numerical relativity simulations and the analytical effective-one-body (EOB) model. The EOB model predicts quasiuniversal relations between the mass-rescaled gravitational wave frequency and the
Balmelli, Simone+4 more
core +3 more sources
Relative Expressive Power of Navigational Querying on Graphs [PDF]
Motivated by both established and new applications, we study navigational query languages for graphs (binary relations). The simplest language has only the two operators union and composition, together with the identity relation.
Bussche Dirk+8 more
core +5 more sources
Finding binary words with a given number of subsequences [PDF]
We relate binary words with a given number of subsequences to continued fractions of rational numbers with a given denominator. We deduce that there are binary strings of length $O(\log n \log \log n)$ with exactly $n$ subsequences; this can be improved to $O(\log n)$ under assumption of Zaremba's conjecture.
arxiv +1 more source
Binary versus non-binary information in real time series: empirical results and maximum-entropy matrix models [PDF]
The dynamics of complex systems, from financial markets to the brain, can be monitored in terms of multiple time series of activity of the constituent units, such as stocks or neurons respectively.
Almog, Assaf, Garlaschelli, Diego
core +3 more sources
The slope, the hill, the drop, and the swoosh: Learning about the nuclear matter equation of state from the binary Love relations [PDF]
Analyses that connect astrophysical observations of neutron stars with nuclear matter properties sometimes rely on equation-of-state insensitive relations. We show that the slope of the binary Love relations (i.e.~between the tidal deformabilities of binary neutron stars) encodes the rate of change of the nuclear matter speed of sound below three times
arxiv +1 more source