Let $E_n$ denote the $n$-dimensional Euclidean space and $S$ the group of Euclidean similarities. It is shown that the group $ (g, S)$ generated by $S$ and a single diffeomorphism $g$ outside $S$ has an orbit which is dense ...

We discuss spectral properties of the operator $F : D -> F|D|$, defined by \[F|ϕ|f(x) := \sum_{k=0}^∞ \frac{1}{2^k}ϕ(2^kx)\] $D$ is the vector space of real functions $ϕ$ such that the sum above converges for all $x ∈ ...

The article, as formulated in its title, deals with the report prepared by a Jesuit Francis Burges, who was the Attorney General of the Paraguay Province. The presented document was written around 1703 and has been kept ...

There are more and more voices among historians and history teachers which demand restoration of the human element to its rightful place in the teaching of history. Biographical motifs should be expanded in historical ...

After the conclusion of war, Korea was divided along the meridian 38. North Korea was placed under the Soviet control and South Korea under the American domination. The Russians were particularly interested in keeping ...