Linear network coding transmits information in terms of a basis of a vector space and the information is received as a basis of a possible altered vectorspace. Ralf Koetter and Frank R. Kschischang [?] introduced a metric on the set af vector-spaces and showed that a minimal distance decoder for this metric achieves correct decoding if the dimension of the intersection of the transmitted and re...

This paper presents a method for automatic classification of semantic relations between nominals using Sequential Minimal Optimization. We participated in the four categories of SEMEVAL task 4 (A: No Query, No Wordnet; B: WordNet, No Query; C: Query, No WordNet; D: WordNet and Query) and for all training datasets. Best scores were achieved in category B using a set of feature vectors including ...

The aim of this paper is to study the stability aspects of various types of solution set of a vector optimization problem both in the given space and in its image space by perturbing the objective function and the feasible set. The Kuratowski– Painlevé set-convergence of the sets of minimal, weak minimal and Henig proper minimal points of the perturbed problems to the corresponding minimal set ...

Let C be a linear binary code, namely a subspace of the space consisting of all binary vectors of a fixed length. A vector in C is maximal provided it has a maximal support among C; a nonzero vector in C is minimal provided it has a minimal support among C \ {0}. We prove that the sum of all maximal vectors of C equals the sum of all minimal vectors of C. In course of this research, we introduc...

Pseudo Ricci symmetric real hypersurfaces of a complex projective space are classified and it is proved that there are no pseudo Ricci symmetric real hypersurfaces of the complex projective space CPn for which the vector field ξ from the almost contact metric structure (φ, ξ, η, g) is a principal curvature vector field.

The curves, of which the square of the distance between the two points equal to zero, are called minimal or isotropic curves [4]. In this work, first, necessary and sufficient conditions to be a Pseudo Helix, which is a special case of such curves, are presented. Thereafter, it is proven that an isotropic curve’s position vector and pseudo curvature satisfy a vector differential equation of fou...

urban spaces and in other words urban design and architecture have been found with close linkage with art and beauty especially the arts such as painting and sculpture. addressing beauty at different areas such as creation of galleries to offer works of art, addressing form of urban spaces and representing works of art in urban environment have improved social life and increased identity, conse...

In this note we derive the slow-roll and rapid-roll conditions for the minimally and nonminimally coupled space-like vector fields. The function f(B) represents the non-minimal coupling effect between vector fields and gravity, the f = 0 case is the minimal coupling case. For a clear comparison with scalar field, we define a new function F = ±B2/12+f(B2) where B = AμA , Aμ is the “comoving” vec...

We present a general theory to obtain good linear network codes utilizing the osculating nature of algebraic varieties. In particular, we obtain from the osculating spaces of Veronese varieties explicit families of equidimensional vector spaces, in which any pair of distinct vector spaces intersect in the same dimension. Linear network coding transmits information in terms of a basis of a vecto...