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Search Results: 1 - 10 of 117880 matches for " T. Hasanis "
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Minimal hypersurfaces with zero Gauss-Kronecker curvature
T. Hasanis,A. Savas-Halilaj,T. Vlachos
Mathematics , 2004,
Abstract: We investigate complete minimal hypersurfaces in the Euclidean space $% \ {R}^{4}$, with Gauss-Kronecker curvature identically zero. We prove that, if $f:M^{3}\to {R}^{4}$ is a complete minimal hypersurface with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below, then $f(M^{3})$ splits as a Euclidean product $L^{2}\times {R}$, where $L^{2}$ is a complete minimal surface in $ {R}^{3}$ with Gaussian curvature bounded from below.
Complete minimal hypersurfaces of $S^4$ with zero Gauss-Kronecker curvature
T. Hasanis,A. Savas-Halilaj,T. Vlachos
Mathematics , 2004,
Abstract: We investigate the structure of 3-dimensional complete minimal hypersurfaces in the unit sphere with Gauss-Kronecker curvature identically zero.
Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^4$ with vanishing Gauss-Kronecker curvature
T. Hasanis,A. Savas-Halilaj,T. Vlachos
Mathematics , 2005,
Abstract: We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^{4}$ with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature bounded from below.
Hypersurfaces and Codazzi tensors
Thomas Hasanis,Theodoros Vlachos
Mathematics , 2006,
Abstract: In this paper we deal with the following problem: Find all Riemannian metrics on a manifold that can be realized isometrically as immersed hypersurfaces in the Euclidean space. We study this problem for a wide class of metrics on hypersurfaces arising from Codazzi tensors.
Minimal graphs in $\mathbb{R}^{4}$ with bounded Jacobians
Th. Hasanis,A. Savas-Halilaj,Th. Vlachos
Mathematics , 2008,
Abstract: We obtain a Bernstein type result for entire two dimensional minimal graphs in $\mathbb{R}^{4}$, which extends a previous one due to L. Ni. Moreover, we provide a characterization for complex analytic curves.
On the Jacobian of minimal graphs in R^4
Th. Hasanis,A. Savas-Halilaj,Th. Vlachos
Mathematics , 2009, DOI: 10.1112/blms/bdq105
Abstract: We provide a characterization for complex analytic curves among two-dimensional minimal graphs in $\mathbb{R}^{4}$ via the Jacobian
REGULARYFRAMWORK AND LEGAL BASE OF ELECTRONIC DOCUMENT CIRCULATION НОРМАТИВНО-ПРАВОВА БАЗА ЕЛЕКТРОННОГО ДОКУМЕНТООБ ГУ
T.Г. Омельченко,Н.А. Джанджгава
Information Technologies and Learning Tools , 2010,
Abstract: The general characteristic of legal base of electronic document circulation is presented in the article. It legislatively regulates the relations which connected with the information and information communication technologies. There is presented the list of the basic acts of regulation of sphere of information relations. У робот подано загальну характеристику нормативно-правово бази, яка законодавчо регулю в дносини, пов'язан з нформац ю, нформац йно-комун кац йними технолог ями, представлено перел к основних законодавчих акт в регулювання сфери нформац йних в дносин.
THE APPROACH OF COMPETENCE AT THE STUDY OF MATHEMATICAL INFORMATICS IN A PEDAGOGICAL UNIVERSITY КОМПЕТЕНТН СНИЙ П ДХ Д ПРИ ВИВЧЕНН МАТЕМАТИЧНО НФОРМАТИКИ” У ПЕДАГОГ ЧНОМУ УН ВЕРСИТЕТ
T.П. Кобильник
Information Technologies and Learning Tools , 2010,
Abstract: In the paper the approach of competence at the study of mathematical informatics in a pedagogical university is considered. The special attention is paid to forming of professional pedagogical and educational-cognitive competences. The example of tasks on which formed a competence at the study of mathematical informatics is resulted. У статт розглянуто компетентн сний п дх д при вивченн математично нформатики у педагог чному ун верситет . Особливу увагу звернено на формування профес йно педагог чно та навчально-п знавальну компетентност . Наведено приклад завдань, як сприяють формуванню компетентностей при вивченн математично нформатики.
SYSTEM OF THE AUTOMATIC DOCUMENT PROCESSING IN SHELL OF BASE SOFTWARE СИСТЕМА АВТОМАТИЗОВАНОГО ДОКУМЕНТООБ ГУ В ОБОЛОНЦ БАЗОВОГО ПРОГРАМНОГО ЗАБЕЗПЕЧЕННЯ
В.Ю. Биков,T.О. Дерба
Information Technologies and Learning Tools , 2010,
Abstract: In the article the automatic system of the document processing, created with use of Microsoft Access – a component part of Microsoft Office is offered. This system can be used at school and Institutions of education with one computer or with system of 15 ones connecting in the local net. У статт запропоновано для ознайомлення автоматизовану систему документооб гу, створену з використанням Microsoft Access – складово частини Microsoft Office. Ця система може використовуватися в школах установах осв тньо галуз на одному комп’ютер чи на систем до 15 комп’ютер в, пов’язаних локальною мережею.
MODERN APPROACHES AND PRINCIPLES OF PORTAL BUILDING ТЕХНОЛОГ ЧН ОСНОВИ СТВОРЕННЯ ТА П ДТРИМКИ ПОРТАЛ В
Н.Т. Задорожна,T.Г. Омельченко
Information Technologies and Learning Tools , 2010,
Abstract: The paper presents the analysis of modern state of development and use of Internet portals, the peculiarities of approaches to creation and introduction of portals in educational system are described. В робот анал зуються принципи розробки та використання нтернет-портал в, описуються особливост п дход в до створення та впровадження портал в у систему осв ти.
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