Let G be an infinite graph such that the automorphism group of G contains a subgroup K ∼= Z with the property that G/K is finite. We examine the homology of the independence complex Σ(G/I) of G/I for subgroups I of K of full rank, focusing on the case that G is the square, triangular, or hexagonal grid. Specifically, we look for a certain kind of homology cycles that we refer to as “cross-cycle...

The boundary problem for graphs like Pascal’s but with general multiplicities of edges is related to a ‘backward’ problem of moments of the Hausdorff type.

We obtain explicit formulas for the test vector in the Bessel model and derive the criteria for existence and uniqueness for Bessel models for the unramified, quadratic twists of the Steinberg representation π of GSp4(F ), where F is a non-archimedean local field of characteristic zero. We also give precise criteria for the Iwahori spherical vector in π to be a test vector. We apply the formula...

Denote by x a random innnite path in the graph of Pascal's triangle (left and right turns are selected independently with xed probabilities) and by d n (x) the binomial coeecient at the n'th level along the path x. Then for a dense G set of in the unit interval, fd n (x)g is almost surely dense but not uniformly distributed modulo 1.

Denote by x a random infinite path in the graph of Pascal’s triangle (left and right turns are selected independently with fixed probabilities) and by dn(x) the binomial coefficient at the n’th level along the path x. Then for a dense Gδ set of θ in the unit interval, {dn(x)θ} is almost surely dense but not uniformly distributed modulo 1.

the writers of this article seek to investigate thedramaturgy of howard barker in his the castle, staged in 1985 by royalshakespeare theatre, in order to discover and lay bare the baroque techniquesof representation in this political paly. relying on deleuze’s idea of baroquearchitecture and foucault’s theories of baroque representation, the writers tryto introduce this play as the expression o...

Background: Muscle fatigue is an important issue in neuromuscular rehabilitation. Better control of this phenomenon would result in better prevention of its consequent physiological damages.Objective: To provide a mathematical representation of muscle fatigue as a function of time.Methods: We conducted this study by combining the EMG-based estimation methods of muscle activation with the availa...

The present study was aimed at exploring the use of pronominal reference for identity representation in terms of power and solidarity in English political discourse. The investigation was based on a corpus of four political interviews and debates amounting 26,500 words. The analysis was both qualitative and quantitative. In the qualitative analysis, a discourse-analytic approach was used to fin...

Melter, R.A., I. Stojmenovii and J. Zuni6, A new characterization of digital lines by least square fits, Pattern Recognition Letters 14 (1993) 83 88. In this paper we prove that digital line segments and their least square line fits are in one-to-one correspondence and give a new simple representation (xr,n,bo,br) of a digital line segment, where x, and n are the x-coordinate of the left endpoi...

A matching queue is described via a graph, an arrival process and a matching policy. Specifically, to each node in the graph there is a corresponding arrival process of items, which can either be queued or matched with queued items in neighboring nodes. The matching policy specifies how items are matched whenever more than one matching is possible. Given the matching graph and the matching poli...