Pad6 approximants are a frequently used tool for the solution of mathematical problems. One of the main drawbacks of their use for multivariate functions is the calculation of the derivatives of f ( x 1 .... ,xp). Therefore multivariate Newton-Pad6 approximants are introduced; their computation will only use the value of f at some points. In Sect. 1 we shall repeat the univariate Newton-Pad6 ap...

We describe an implementation of the Maximally Stable Extremal Region ([3], Sect. 2, MSER) feature detector and an immediate multi-dimensional generalization ([1], Sect. 2). We propose an algorithm (Sect. 3) that is essentially uniontree with path-compression and union-by-rank (see for instance [4]). However we do not use the N-tree graph of [4] as for the purpose of fitting ellipses to the MSE...

The system AProVE (Automated Program Verification Environment) can be used for automated termination and innermost termination proofs of (conditional) term rewrite systems (TRSs). AProVE currently offers the techniques of recursive path orders possibly with status [3] (Sect. 2), dependency pairs including recent refinements such as narrowing, rewriting, and instantiation of dependency pairs [1,...

The paper attempts to rationalize cooperation in the one-shot prisoners’ dilemma (PD). It starts by introducing (and preliminarily investigating) a new kind of equilibrium (differing from Aumann’s correlated equilibria) according to which the players’ actions may be correlated (sect. 2). In PD the Pareto-optimal among these equilibria is joint cooperation. Since these equilibria seem to contrad...

The name Carex poeppigii (sect. Echinochlaenae) is validated and a new combination in South American Carex, C. vixdentata (sect. Spirostachyae), is made here. Also, the taxonomic status of C. aueri is discussed, and this name is placed in the synonymy of C. reichei (sect. Arenariae).

The paper attempts to rationalize cooperation in the one-shot prisoners’ dilemma (PD). It starts by introducing (and preliminarily investigating) a new kind of equilibrium (differing from Aumann’s correlated equilibria) according to which the players’ actions may be correlated (sect. 2). In PD the Pareto-optimal among these equilibria is joint cooperation. Since these equilibria seem to contrad...

We present a multilevel algorithm based on nonsymmetric collocation with compactly supported radial basis functions for the solution of nonlinear partial diierential equations. At the operator level this algorithm can be viewed as a Newton method. Details of the algorithm as well as numerical experiments are discussed. x1. Introduction Radial basis function (RBF) methods have been studied by va...