This paper examines the one-to-one-to-one correspondence between threshold graphs, Betti numbers of quotients polynomial rings by $2$-linear ideals, and anti-lecture hall compositions. In particular, we establish new explicit combinatorial mappings each these classes objects calculate expected values composition corresponding to a random graph.

Abstract In this article, we introduce a new family of lattice polytopes with rational linear precision. For purpose, define class discrete statistical models that call multinomial staged tree models. We prove these have maximum likelihood estimators (MLE) and give criterion for to be log-linear. Our main result is then obtained by applying Garcia-Puente Sottile’s theorem establishes correspond...

A class of linear codes with good parameters is constructed in this correspondence. It turns out that linear codes of this class are subcodes of the subfield subcodes of Goppa’s geometry codes. In particular, we find 61 improvements on Brouwer’s table [1] based on our codes.

This paper presents an exact correspondence in typing and dynamics between polarised linear logic and a typed π-calculus based on IO-typing. The respective incremental constraints, one on geometric structures of proof-nets and one based on types, precisely correspond to each other, leading to the exact correspondence of the respective formalisms as they appear in [Lau03] (for proof-nets) and [H...

1.1 Fix a variety X over C. The Riemann-Hilbert correspondence identifies the category of perverse sheaves on X(C) with the (abelian) category of regular holonomic D-modules on X. This is a remarkable and deep theorem in the theory of linear partial differential equations. In this note we will investigate this correspondence in simple examples, exploring the topological and algebraic sides as w...

We address the problem of finding point correspondences in images by way of an approach to template matching that is robust under affine distortions. This is achieved by applying “geometric blur” to both the template and the image, resulting in a fall-off in similarity that is close to linear in the norm of the distortion between the template and the image. Results in wide baseline stereo corre...

General semifinite factor representations of the diffeomorphism group of euclidean space are constructed by means of a canonical correspondence with the finite factor representations of the inductive limit unitary group. This construction includes the quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a non-linear fo...

We describe and generalize S.G. Dani’s correspondence between bounded orbits in the space of lattices and systems of linear forms with certain Diophantine properties. The solution to Margulis’ Bounded Orbit Conjecture is used to generalize W. Schmidt’s theorem on abundance of badly approximable systems of linear forms.

*Correspondence: [email protected] School of Science, Xi’an Polytechnic University, Xi’an, Shaanxi 710048, China Abstract In this paper, we present a splitting method for solving the shifted skew-Hermitian linear system, which is briefly called an α-SSS. Some convergence results are established and numerical experiments show that the splitting method is feasible for solving the problem of thi...

We discuss linear Ricardo models with a range of parameters. We show that the exact boundary of the region of equilibria of these models is obtained by solving a simple integer programming problem. We show that there is also an exact correspondence between many of the equilibria resulting from families of linear models and the multiple equilibria of economies of scale models.