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Related papers: Many partition relations below density

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We perform numerical simulations of purely repulsive soft colloidal particles interacting via a generalized elastic potential and constrained to a two-dimensional plane and to the surface of a spherical shell. For the planar case, we…

Soft Condensed Matter · Physics 2011-06-16 William L. Miller , Angelo Cacciuto

Two related issues are discussed, which might be easily explored by present and future COMPASS experiments. The first one deals with the new world of transversity, the fundamental polarized parton distribution so far totally unknown. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mauro Anselmino

Many results in mass partitions are proved by lifting $\mathbb{R}^d$ to a higher-dimensional space and dividing the higher-dimensional space into pieces. We extend such methods to use lifting arguments to polyhedral surfaces. Among other…

Combinatorics · Mathematics 2021-09-09 Pablo Soberón , Yuki Takahashi

Strongly interacting binary mixtures of superparamagnetic colloidal particles confined to a two-dimensional water-air interface are examined by theory, computer simulation and experiment. The mixture exhibits a partial clustering in…

Soft Condensed Matter · Physics 2009-11-11 Norman Hoffmann , Florian Ebert , Christos N. Likos , Hartmut Löwen , Georg Maret

This paper considers three different partition relations from partition calculus, two of which are pair relations and one of which is a triple relation. An examination of the first partition relation and the ramification argument used to…

Logic · Mathematics 2019-04-17 Jonathon Eric Beers

We consider a system of classical particles confined in a box $\Lambda\subset\mathbb{R}^d$ with zero boundary conditions interacting via a stable and regular pair potential. Based on the validity of the cluster expansion for the canonical…

Probability · Mathematics 2021-03-30 Giuseppe Scola

We calculate, within pQCD parton model at leading orders, the expression of the longitudinal polarization of Lambda baryons produced in polarized semi-inclusive DIS, including weak interaction effects. We present some numerical estimates in…

High Energy Physics - Phenomenology · Physics 2015-06-25 M. Anselmino , M. Boglione , U. D'Alesio , F. Murgia

The polarizations of one relation of degree five and two relations of degree six minimally generate the ideal of relations among a minimal generating system of the algebra of multisymmetric polynomials in an arbitrary number of…

Representation Theory · Mathematics 2009-12-09 M. Domokos , A. Puskás

We advocate a simple multipole expansion of the polarisation density matrix. The resulting multipoles appear as successive moments of the Stokes variables and can be obtained from feasible measurements. In terms of these multipoles, we…

We investigate the decay of $\Lambda_b\to\Lambda\nu\bar{\nu}$ with the polarized baryons of $\Lambda_b$ and $\Lambda$. With the most general hadronic form factors, we first study the decay branching ratio and then derive the longitudinal,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Chuan-Hung Chen , C. Q. Geng

We introduce the relation ${\rho}_{\lambda}$-orthogonality in the setting of normed spaces as an extension of some orthogonality relations based on norm derivatives, and present some of its essential properties. Among other things, we give…

Functional Analysis · Mathematics 2021-07-23 A. Zamani , M. S. Moslehian

For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, we construct a geometric realization in terms of suitable decorated Teichmueller space of the surface. On the geometric…

Geometric Topology · Mathematics 2018-09-05 Sergey Fomin , Dylan Thurston

Structures based on polarities have been used to provide relational semantics for propositional logics that are modelled algebraically by non-distributive lattices with additional operators. This article develops a first order notion of…

Logic · Mathematics 2023-11-08 Robert Goldblatt

We introduce a generalization of the Temperley--Lieb algebra. This generalization is defined by adding certain relations to the algebra of braids and ties. A specialization of this last algebra corresponds to one small Ramified Partition…

Quantum Algebra · Mathematics 2013-04-19 Jesús Juyumaya

In this paper a generalisation of the notion of polarity is exhibited which allows to completely describe, in an incidence-geometric way, the linear complexes of $h$-subspaces. A generalised polarity is defined to be a partial map which…

Algebraic Geometry · Mathematics 2024-02-13 Hans Havlicek , Corrado Zanella

Say that mu is a ``subpartition'' of an integer partition lambda if the multiset of parts of mu is a submultiset of the parts of lambda, and define an integer partition lambda to be ``wide'' if for every subpartition mu of lambda, mu >= mu'…

Combinatorics · Mathematics 2007-05-23 Timothy Y. Chow , C. Kenneth Fan , Michel X. Goemans , Jan Vondrak

We study a pair of weakenings of the classical partition relation $\nu \rightarrow (\mu)^2_\lambda$ recently introduced by Bergfalk-Hru\v{s}\'{a}k-Shelah and Bergfalk, respectively. Given an edge-coloring of the complete graph on $\nu$-many…

Logic · Mathematics 2022-09-07 Chris Lambie-Hanson

We introduce new entanglement monotones which generalize, to the case of many parties, those which give rise to the majorization-based partial ordering of bipartite states' entanglement. We give some examples of restrictions they impose on…

Quantum Physics · Physics 2009-11-07 H. Barnum , N. Linden

We characterize completey (give a necessary and suffcient condition using special neat embeddings)for a relation algebra to belong to the amalgamation, strong amalgamation, and superamalgamation base of the class of representable algebras.…

Logic · Mathematics 2013-04-03 Tarek Sayed Ahmed

The Pauli channel acting on 2 x 2 matrices is generalized to an n-level quantum system. When the full matrix algebra M is decomposed into pairwise complementary subalgebras, then trace-preserving linear mappings from M to M are constructed…

Mathematical Physics · Physics 2009-08-15 Denes Petz , Hiromichi Ohno