This article considers those monoids S satisfying one or both of the finitary properties (R) and (r), focussing for the most part on inverse monoids. These properties arise from questions of axiomatisability of classes of S-acts, and appear to be of interest in their own right. If S weakly right noetherian (WRN), that is, S has the ascending chain condition on right ideals, then certainly (r) h...

Some families of orthogonal matrix polynomials satisfying second order differential equations with coefficients independent of n have recently been introduced (see [DG1]). An important difference with the scalar classical families of Jacobi, Laguerre and Hermite, is that these matrix families do not satisfy scalar type Rodrigues’ formulas of the type (ΦnW )W, where Φ is a matrix polynomial of d...

We analyze a banking system in which the class of feasible deposit contracts, or mechanisms, is broad. The mechanisms must satisfy a sequential service constraint, but partial or full suspension of convertibility is allowed. Consumers must be willing to deposit, ex ante. We show, by examples, that under the socalled “optimal contract,” the post-deposit game can have a run equilibrium. Given a p...

In this paper, we present the Anderson-Darling (AD) and Kolmogorov-Smirnov (KS) goodness of fit statistics for stationary and non-stationary random fields. Namely, we adopt an easy-to-apply method based on a random projection of a Hilbert-valued random field onto the real line R, and then, applying the well-known AD and KS goodness of fit tests. We conclude this paper by studying the behavior o...

Evaporation is a fundamental parameter in the hydrological cycle. This study examines the performance of M5model tree and artificial neural network (ANN) models in estimating potential evapotranspiration calculated byPenman- Monteith and Hargreaves- Samani equations. Daily weather data from two meteorological stations in asemi-arid climate of Iran, namely Kerman and Zahedan, were collected duri...

The growing importance of spatial data has made it imperative that spatial operations be executed efficiently. The most expensive operation is the join for spatial databases. This paper proposes a Replicated Parallel Packed R-tree and its use in performing the parallel R-tree join. We examine performance using the Digital Chart of the World Data on a shared nothing machine. Our experimental res...

We give a brief, elementary and analytic proof of the theorem of Hubbard and Masur [HM] (see also [K], [G]) that every class of measured foliations on a compact Riemann surface R of genus g can be uniquely represented by the vertical measured foliation of a holomorphic quadratic differential on R. The theorem of Thurston [Th] that the space of classes of projective measured foliations is a 6g −...