We present examples of equisingular families of complex projective plane curves with plural connected components that are not distinguished by the fundamental group of the complement.

By Bezout’s theorem, three quadric surfaces may have infinitely intersections, but have at most eight isolated intersections. In this paper, we present an efficient and robust algorithm to obtain the isolated and the connected components of the real intersections of three quadric surfaces. Moreover, the conditions under which the intersections are finite and infinite are thoroughly investigated...

Script identification is required for a multilingual OCR system. In this paper, we present a novel and efficient technique for Bangla/English script identification with applications to the destination address block of Bangladesh envelope images. The proposed approach is based upon the analysis of connected component profiles extracted from the destination address block images, however, it does ...

For a nite system A of bounded linear operators whose real linear combinations have real spectrum, the monogenic functional calculus is used to associate a function f(A) of the operators with any analytic function f in n real variables deened in a neighbourhood of the monogenic spectrum (A). Here, the existence of projection operators that decompose the functional calculus onto invariant subspa...

A peculiarity of the geometry of the euclidean 3-sphere S is that it allows for the existence of compact without boundary minimally immersed surfaces. Despite a wealthy of examples of such surfaces, the only known tori minimally embedded in S are the ones congruent to the Clifford torus. In 1970 Lawson conjectured that the Clifford torus is, up to congruences, the only torus minimally embedded ...

Let V be a closed algebraic subvariety of the n-dimensional projective space over the com­ plex or real numbers and suppose that V is non-empty and equidimensional. In this paper we generalize the classic notion of polar variety of V associated with a given linear subva­ riety of the ambient space of V. As particular instances of this new notion of generalized polar variety we reobtain the clas...

In this paper, we completely determine the connectivity of every infinite circulant digraphs and prove that almost all infinite circulant digraphs are infinitely strongly connected and therefore have both oneand two-way infinite Hamiltonian paths.

We obtain a very simple formula for the generating function of bipartite (resp. quasi-bipartite) planar maps with boundaries (holes) of prescribed lengths, which generalizes certain expressions obtained by Eynard in a book to appear. The formula is derived from a bijection due to Bouttier, Di Francesco and Guitter combined with a process (reminiscent of a construction of Pitman) of aggregating ...

For a tropical prevariety in R given by a system of k tropical polynomials in n variables with degrees at most d, we prove that its number of the connected components is less than ( k+7n−1 3n ) · d k+n+1 . On a number of 0-dimensional connected components a better bound ( k n ) · d n k−n+1 is obtained, which extends the Bezout bound due to B. Sturmfels from the case k = n to an arbitrary k ≥ n....