In [1], the automata-based dynamic convolutional cryptosystem is proposed and analyzed; the author claims that “finding partial information about the cipher is quite easy, and the main idea of such an attack, described in detail in Section 4.1, is based on Gaussian elimination.” But the deduction supporting this claim in Section 4.1 of [1] cannot work. It seems that this cipher is not so weak s...

A question which was left open in [C-W] was the symplectic equivalence of the above (a, b, c)-surfaces. To this purpose, and for more general purposes, it is important to determine the braid monodromy factorization of the branch curve corresponding to a symplectic deformation of the 4-1 covering S → P × P possessed by an (a, b, c)-surface S (note that in [C-W] one key result was the determinati...

An incidence in a graph G is a pair (v, e) with v ∈ V (G) and e ∈ E(G), such that v and e are incident. Two incidences (v, e) and (w, f) are adjacent if v = w, or e = f , or the edge vw equals e or f . The incidence chromatic number of G is the smallest k for which there exists a mapping from the set of incidences of G to a set of k colors that assigns distinct colors to adjacent incidences. In...

Sato’s hyperfunctions are known to be represented as the boundary values of harmonic functions as well as those of holomorphic functions. The author obtains a bijective Poisson mapping P : S∗′(Rn) −→ S∗′(S∗Rn) ∩H(S∗Rn) where H(S∗Rn) is a kind of Hardy subspace of B(S∗Rn). Moreover, the author has an isomorphism between Sobolev spaces P : W (R) −→ W s+(n−1)/4(S∗Rn) ∩H(S∗Rn). There are some simil...

If X is the dual space of a given Banach space E , X = E*, we say that X has the weak* fixed point property (w*-fpp) if for every nonempty weak* compact (that is, cr(X, E)-co~npact) convex subset C of X and every nonexpansive mapping T : C + C we have Fix(T) # 0. Which subsets of X are weak* compact depends on the choice of pre-dual. Thus, when discussing the w*-fpp it is important that we have...

Semi‐automated methods for mapping wetlands using Landsat ETM+ and SRTM data Md. A. Islam a , P. S. Thenkabail a , R. W. Kulawardhana a , R. Alankara a , S. Gunasinghe a , C. Edussriya b & A. Gunawardana b a International Water Management Institute , P.O. Box 2075, Colombo, Sri Lanka b Central Environmental Authority , No. 104, Denzil Kobbekaduwa, Mawatha, Battaramulla, Sri Lanka Published onli...

We study continua on which each nonconstant open mapping is light. W. Makuchowski asked if this property is preserved under atomic mappings. It is known that this is true under an additional assumption of arcwise connectedness of the domain continuum. We show that in general this is not true.

Let f be a mapping in the Sobolev space W (Ω,R). Then the change of variables, or area formula holds for f provided removing from counting into the multiplicity function the set where f is not approximately Hölder continuous. This exceptional set has Hausdorff dimension zero.

A continuous function f(x+ iy) = u(x, y) + iv(x, y) defined in a domain D ⊂ C (Complex plane) is harmonic in D if u and v are real harmonic in D. Clunie and Shiel-Small [3] showed that in a simply connected domain such functions can be written in the form f = h+g, where both h and g are analytic. We call h the analytic part and g, the co-analytic part of f . Let w(z) = g ′(z) h′(z) be the dilat...

For a coequality q we say that it is regular coequality on set X ordered under the antiorder ̨ if there exists an anti-order on X=q such that the natural mapping W X ! X=q is a reverse isotone surjection of anti-ordered sets. The lattice of regular coequalities is described. 2000 Mathematics Subject Classification: 03F65, 06F05