This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first part of the text is devoted to minimal surfaces. We begin our studies with the Enneper-Weirstrass Representation Theorem and ...

We give an elementary and direct proof of the following theorem: A real number is normal to a given integer base if, and only if, its expansion in that base is incompressible by lossless finite-state compressors (these are ...

We show that a Jordan-Hölder theorem holds for appropriately defined composition series of finite dimensional Hopf algebras. This answers an open question of N. Andruskiewitsch. In the course of our proof we establish ...

Let p(k) (n, 2) be the set of all real polynornial map germs f = (f(1), f(2)) : (R(n), 0) -> (R(2), 0) with degree of f(1), f(2) <= k. The main result of this paper shows that the set of equivalence classes of p(k) (n, 2), ...

Let Pk(n,p) be the set of all real polynomial map germs f=(f1,...,fp):(Rn, 0)-> (Rp, 0) with degree of f1,...,fp less than or equal to k ∈ N. The main result of this paper shows that the set of equivalence classes of ...

Let Pk (n, 2) be the set of all real polynomial map germs f = (f1, f2): (Rn, 0) → (R2, 0) with degree of f1, f2 ≤ k. The main result of this paper shows that the set of equivalence classes of Pk (n, 2), with respect to ...

Let p(k) (n, 2) be the set of all real polynornial map germs f = (f(1), f(2)) : (R(n), 0) -> (R(2), 0) with degree of f(1), f(2) <= k. The main result of this paper shows that the set of equivalence classes of p(k) (n, 2), ...

Let V ⊂ double-struck Pn(double-struck F¯q) be a complete intersection defined over a finite field double-struck Fq of dimension r and singular locus of dimension at most s, and let π :V → double-struck Ps+1 (double-struck ...