Adaptive frame methods with cubic spline-wavelet bases
Adaptive student test evaluation incorporating probabilities.
Additional Results from the Programmed Design Assignment, in the Formative Design Studio at Buffalo
Advances in modelling of complex systems : preface to the special issue
Advances in Modelling of Complex Systems : Preface to the Special Issue
Aggregate theory versus set theory
Les arguments de Maddy avancés en 1990 contre la théorie des agrégats se trouvent affaiblis par le retournement qu’elle opère en 1997. La présente communication examine cette théorie à la lumière de ce retournement ainsi que des récentes recherches sur les “Nouveaux axiomes pour les mathématiques”. Si la théorie des ensembles est la théorie de la partie–tout des singletons, identifier les singletons à leurs membres singuliers ramène la théorie des ensembles à la théorie des agrégats. Toutefois si...
Akademik B. Kvasil [foto]
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Algebra a theorie čísel
Algebraic characterization of the dimension of differential spaces
Algebraic classification of the Weyl tensor
Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classification scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known Petrov classification. The approaches using Bel-Debever criteria and principal null directions of the superenergy tensor are also discussed.
Algebraic classification of the Weyl tensor: selected applications
Selected applications of the algebraic classification of tensors on Lorentzian manifolds of arbitrary dimension are discussed. We clarify some aspects of the relationship between invariants of tensors and their algebraic class, discuss generalization of Newman-Penrose and Geroch-Held-Penrose formalisms to arbitrary dimension and study an application of the algebraic classification to the case of quadratic gravity.
Algebraic generalization of the topological theorems of Bolzano and Weierstrass
Algebraic methods in the theory of global properties of the oscillatory equations
Algebraic properties of function spaces
Algebraic properties of the 3-state vector Potts model
Algebras of continuous functions in universal algebra
Algebras of germs of Fourier transforms
Algorithm for construction of explicit -order Runge-Kutta formulas for the systems of differential equations of the 1st order
Algorithmic computations of Lie algebras cohomologies
From the text: The aim of this work is to advertise an algorithmic treatment of the computation of the cohomologies of semisimple Lie algebras. The base is Kostant’s result which describes the representation of the proper reductive subalgebra on the cohomologies space. We show how to (algorithmically) compute the highest weights of irreducible components of this representation using the Dynkin diagrams. The software package offers the data structures and corresponding procedures for computing...