A note on Rudin's sxample of Dowker space
A note on symmetries of invariant sets with compact group actions
A note on tension spline
Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the results of...
A note on the dimension of products
A notion of uniformity for -spaces of Frechet
A parallel method for population balance equations based on the method of characteristics
In this paper, we present a parallel scheme to solve the population balance equations based on the method of characteristics and the finite element discretization. The application of the method of characteristics transform the higher dimensional population balance equation into a series of lower dimensional convection-diffusion-reaction equations which can be solved in a parallel way. Some numerical results are presented to show the accuracy and efficiency.
A partially ordered space connected with the de la Vallée Poussin problem
A priori bounds for a semilinear wave equation
A problem about Feynman integrals on Riemannian manifolds
A problem concerning locally- functions in a commutative Banach algebra
A proof of the Baues-Lemaire conjecture in rational homotopy theory
This paper contains an announcement of a result, which settles the connection between various algebraic models for rational homotopy theory: the models of Quillen, Sullivan and Adams-Hilton-Anick. It is shown how this result, combined with a recent result of Anick, implies a conjecture of H. J. Baues and J. M. Lemaire [Math. Ann. 225, 219-245 (1977; Zbl 0322.55019)].We describe in some detail the construction of these models (Section 1). We present a variant of the Adams-Hilton model, which is defined...
À propos du sens des textes mathématiques, un exemple : la théorie des «bifurcations dynamiques»
L’interprétation dans la langue naturelle d’un résultat mathématique peut être délicate. La théorie des bifurcations fournit un exemple récent ou des problème d’interprétation ont motive des développements mathématiques nouveaux de la théorie. L’article plaide pour une plus grande prise en considération de ces questions dans les revues mathématiques.
A proposito dei corsi di geometria nelle nostre Università.
A proposito del supplemento sulle tesi di dottorato
A quaternionic treatment of Navier-Stokes equations
A reflection on the construction of mathematical concepts in environments with technology.
A remark on natural quantum Lagrangians and natural generalized Schrödinger operators in Galilei quantum mechanics
A remark on the -splitting conjecture
A remark on the topology of higher order frames
A representation of the coalgebra of derivations for smooth spaces
Let be a field. The generalized Leibniz rule for higher derivations suggests the definition of a coalgebra for any positive integer . This is spanned over by , and has comultiplication and counit defined by and (Kronecker’s delta) for any . This note presents a representation of the coalgebra by using smooth spaces and a procedure of microlocalization. The author gives an interpretation of this result following the principles of the quantum theory of geometric spaces.