On internal characterizations of complete regularity and Wallman-type compactifications
On Křížek’s decomposition of a polyhedron into convex components and its applications in the proof of a general Ostrogradskij’s theorem
On Lagrange multipliers of trust-region subproblems
On limit-point and separation criteria for linear differential expressions
On linear problems in the space BV
On local flatness of manifolds with AHS-structures
Summary: The AHS-structures on manifolds are the simplest cases of the so called parabolic geometries which are modeled on homogeneous spaces corresponding to a parabolic subgroup in a semisimple Lie group. It covers the cases where the negative parts of the graded Lie algebras in question are abelian. In the series the authors developed a consistent frame bundle approach to the subject. Here we give explicit descriptions of the obstructions against the flatness of such structures based on the latter...
On local stability of differential (n-1) – forms on an n-manifold with boundary
On locally ordered spaces
On lower-semicontinuity of variational integrals
On Lunda-Designs and Some of Their Symmetries
On -adic spaces
On mathematical modelling of gust response using the finite element method
In this paper the numerical approximation of aeroelastic response to sudden gust is presented. The fully coupled formulation of two dimensional incompressible viscous fluid flow over a flexibly supported structure is used. The flow is modelled with the system of Navier-Stokes equations written in Arbitrary Lagrangian-Eulerian form and coupled with system of ordinary differential equations describing the airfoil vibrations with two degrees of freedom. The Navier-Stokes equations are spatially discretized...
On measurable sets in topological spaces
On melancholic magic squares
Starting with Dürer's magic square which appears in the well-known copper plate engraving Melencolia we consider the class of melancholic magic squares. Each member of this class exhibits the same 86 patterns of Dürer's magic square and is magic again. Special attention is paid to the eigenstructure of melancholic magic squares, their group inverse and their Moore-Penrose inverse. It is seen how the patterns of the original Dürer square to a large extent are passed down also to the inverses of the...
On mild and wicked embeddings
On minimal realizations of behavior maps in categorial automata theory
On monotone decompositions of smooth continua
On mutational deformation retracts
On nonlinear elliptic equations in infinite cylinders
On normality of the product of two spaces