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We introduce a novel and general approach for digitalization of line segments in the plane that satis es a set of axioms naturally arising from Euclidean axioms. In particular,we show how to derive su...
We show that if the fundamental groups of the complements of two line arrangements in the complex projective plane are isomorphic to the same direct sum of free groups, then the complements of the arr...
For s > 3=2 two sequences of CH solutions living in a bounded set of the Sobolev space Hs(R) are constructed, whose distance at the initial time is converging to zero while at any later time is bounde...
This paper solves the point mass problem on the real line when the recurrence coefficients are asymptotically periodic.First, we give formulae for the perturbed orthogonal polynomi-als and the perturb...
We present the construction of a probability measure d with compact support on R such that adding a discrete pure point results in changes in the recursion coecients without expo- nential decay.
We prove that under certain combinatorial conditions, the realization spaces of line arrangements on the complex projective plane are connected. We also give several examples of arrangements with eigh...
We consider the linear span S of the functions tak (with some ak > 0)in weighted L2 spaces, with rather general weights. We give one necessary and one sufficient condition for S to be dense. Some comp...
Boxicity of a graph H, denoted by box(H), is the mini-mum integer k such that H is an intersection graph of axis-parallel k-dimensional boxes in Rk. In this paper.
The KP-II equation possesses a class of line soliton solutions which can be qualitatively described via a tropical approximation as a chain of rooted binary trees, except at“critical” events where a t...
We construct a multiply connected domain in R2 for which the second eigenfunction of the Laplacian with Robin boundary condi-tions has an interior nodal line. In the process, we adapt a bound of Donne...
Line integration of generalized functions is studied. Second or-der partial differential equations with piecewise continuous and gen-eralized variable coefficients over Cayley-Dickson algebras are inv...
We give a birational reduction of singularities for one dimensional foliations in ambient spaces of dimension three. To do this, we first prove the existence of a Local Uniformization in the sense of ...
THE PROJECTIVITY OF THE FUNDAMENTAL GROUP OF AN AFFINE LINE
We gived the intrinsic equations for a relaxed elastic line on an oriented surface in {\Bbb {R}}13 ([1],[2]). In this paper, we derived the intrinsic equations for a relaxed elastic line on an oriente...
In this paper, we present some properties of the central graph C(Pn) of a path, and its line graph [ ( n )] L C P . We mainly have our discussion on the harmonious chromatic number of C(Pn) and the li...

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