We introduce the notion of N-topo nilpotent fuzzy set in a fuzzy neighborhood ring and develop some fundamental results. Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all 0 < α < 1, the α-level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that if a fuzzy neighborhood ring on a division...

Cuspy shadow was first reported for hairy rotating black holes, whose metrics deviate significantly from the Kerr one. The non-smooth edge of is attributed to a transition between different branches unstable but bounded orbits, known as fundamental photon which end up at light rings. In searching minimal theoretical setup reproduce such salient feature, in this work, we devise toy model with ax...

For a fixed irreducible polynomial F we study the set V of all valuations on K [ x ] bounded by whose support is ( ). The first main result presents characterization for in terms their graded rings. We also present which gives, ν ∈ and key Q KP ) , maximum value that augmented can assume . This presented explicitly slopes Newton polygon with respect to Finally, some results about Artin-Schreier...

We propose a compact data structure for volumetric meshes of arbitrary topology and bounded valence that offers cell-face, face-edge, and edge-vertex incidence queries in constant time. Our structure is simple to implement, easy to use, and allows for arbitrary, user-defined 3-cells such as prisms and hexahedra, while remaining very efficient in memory usage compared to previous work. Its time ...

We address the Multi Layer Hierarchical Ring Network Design Problem. The aim of this problem is to connect nodes that are assigned to different layers using a hierarchy of rings of bounded length. We present a multi-commodity flow based mixed integer linear programming formulation and experimentally evaluate it on various graphs. Instances up to 76 nodes and 281 edges could be solved to optimal...

In this article, the recent results on basic boundary value problems of complex analysis are surveyed for complex model equations and linear elliptic complex partial differential equations of arbitrary order on simply connected bounded domains, particularly in the unit disc, on unbounded domains such as upper half plane and upper right quarter plane and on multiply connected domains containing ...

Facets for the polyhedron of two-connected networks with bounded rings Abstract. We study the polyhedron associated with a network design problem which consists in determining at minimum cost a two-connected network such that the shortest cycle to which each edge belongs (a \ring") does not exceed a given length K. We present here a new formulation of the problem and derive facet results for di...