Volume 25, No. 1 (2015)

Articles

THE RESEARCH OF UNORDER TABLES AS ALGEBRAIC STRUCTURES

The purpose of the paper is research unordered tables as algebraic structures. Algebraic properties were investigated operations tables union, intersection and difference. It was proposed in C+ + a generic parameterized class with abstract class records tabular representation which allows modeling work with tables arranged in terms of algebraic structures [1,2].

AN EXTENSION OF CHEEGER DIFFERENTIAL OPERATOR FROM LIPSCHITZ FUNCTIONS TO ORLICZ-SOBOLEV FUNCTIONS ON METRIC MEASURE SPACES

We introduce two types of Orlicz-Sobolev spaces on a metric measure space. One space is the completion of locally Lipschitz functions in a norm of Orlicz-Sobolev type involving an abstract differentiation operator and the other space is de_ned via an Orlicz-Poincaré inequality. We prove that these spaces agree and are reflexive provided that the measure is doubling and the Young function defining the underlying Orlicz space is doubling, together with its complementary function. In the case where the Young func-tion is a power function with exponent greater than one, we recover some results of Fran-chi, Hajłasz and Koskela (1999).

FAST ALGORITHMS OF DUALLY CHORDAL GRAPHS

We give a characterization of hereditary dually chordal graphs using weak decomposition. We also give a recognition algorithm for hereditary dually chordal graphs and we determine the combinatorial optimization numbers in efficient time.

omega-beta-SEPARATION AXIOMS

The separation axioms are important and interesting concepts in topological spaces. In this paper, we introduce and investigate some weak separation axioms by using the notion of ωβ-open set.

FUZZY UPPER AND LOWER M-CONTINUOUS MULTIFUNCTIONS

In this paper we introduce the notion of fuzzy upper and lower M-continuous multifunctions as generalizations of upper and lower M-continuous multifunctions [28], as fuzzy multifunctions between sets having certain minimal structures. We also prove that m-compact sets from a space with minimal structures have fuzzy m-compact images under surjective fuzzy upperM-continuous multifunctions, provided that some natural conditions are satisfied. Lastly we show that the notions of fuzzy upper and lower M-continuous multifunctions unify several forms of generalized continuity for fuzzy multifunctions from a topological space into a fuzzy topological space.

VERTICAL FOLIATION ASSOCIATED TO A CARTAN SPACE

The cotangent bundle of a smooth manifold, as a particular submersion, carries a natural foliation called vertical defined by the kernel of the differential of the projection of the cotangent bundle on its base manifold. The vertical foliation is a La-grangian one with respect to the natural symplectic structure of the cotangent bundle. It has new properties if the cotangent bundle has additional geometrical structures, for instance those induced by a non-degenerate homogeneous Hamiltonian. A Cartan space is a manifold whose cotangent bundle is endowed with a smooth non-degenerate Hamiltonian K^2 which is positively homogeneous of degree 2 in momenta. Then the vertical foliation becomes a semi Riemannian foliation whose transversal distri-bution is completely determined by K and is orthogonal on the vertical distribution with respect to a semi Riemannian metric of Sasaki type. In this framework various linear connections will be associated to and some properties of the vertical foliation will be pointed out.

RHEONOMIC INGARDEN SPACES

This paper presents a particular type of rheonomic Finsler space, called rheonomic Ingarden space. The canonical semispray, the local coefficients of the Lorentz connection and the expressions for the curvature and for the torsion are established.

RHEONOMIC GENERAL RANDERS MECHANICAL SYSTEMS

This paper presents a special type of rheonomic Finslerian Mechanical System called rheonomic General Randers Mechanical System, establishing the canonical semispray, the local coefficients of the Lorentz connection and the expressions for the curvature and for the torsion.

PERSONALIZED QR CODES APPLICATION

The current paper introduces new software to easily encoding diverse data with Quick Response Codes (QR codes). The user friendly tool includes also a database with personal QR codes. The management of the database is facilitated by a specific software design.

GET CABS AND BUSES IN METROPOLITAN AREAS - A MOBILE APPLI-CATION

The current paper introduces new mobile software to get cabs or to identify the closer bus station in a particular metropolitan area. The software could be easily modified to be used in any large metropolitan area. The application is developed for the Android operating system and uses the Google services to create a mutual agreement localizing application.