Search results for "Symbolic power"

showing 8 items of 8 documents

The minimal free resolution of fat almost complete intersections in ℙ1 x ℙ1

2017

AbstractA current research theme is to compare symbolic powers of an ideal I with the regular powers of I. In this paper, we focus on the case where I = IX is an ideal deûning an almost complete intersection (ACI) set of points X in ℙ1 × ℙ1. In particular, we describe a minimal free bigraded resolution of a non-arithmetically Cohen-Macaulay (also non-homogeneous) set 𝒵 of fat points whose support is an ACI, generalizing an earlier result of Cooper et al. for homogeneous sets of triple points. We call 𝒵 a fat ACI.We also show that its symbolic and ordinary powers are equal, i.e, .

Current (mathematics)Ideal (set theory)General MathematicsPoints in ℙ1× ℙ1010102 general mathematicsComplete intersectionArithmetically Cohen-Macaulay; Points in ℙ1× ℙ1; Resolution; Symbolic powersSymbolic powers01 natural sciencesArithmetically Cohen-MacaulayCombinatoricsSet (abstract data type)Settore MAT/02 - AlgebraHomogeneous0103 physical sciencesArithmetically Cohen-Macaulay Points in ℙ1xℙ1 Resolution Symbolic powersSettore MAT/03 - Geometria010307 mathematical physics0101 mathematicsResolutionFocus (optics)Resolution (algebra)Mathematics
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2018

The objective of this article is to study some of the intended and unintended effects on academe of the evolving global ranking game. I will start with some broader points on the global ranking gam...

Higher educationbusiness.industryEducational qualitymedia_common.quotation_subject05 social sciencesComputingMilieux_PERSONALCOMPUTING050301 educationPublic relations050905 science studiesEducationRanking (information retrieval)ExcellenceSociology0509 other social sciencesObjectificationComparative educationbusinessSymbolic power0503 educationReputationmedia_commonStudies in Higher Education
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Steiner configurations ideals: Containment and colouring

2021

Given a homogeneous ideal I&sube

HypergraphSteiner systemsCurrent (mathematics)General MathematicsIdeals of points Monomial ideals Steiner systems Symbolic powers of ideals Waldschmidt constantideals of points0102 computer and information sciencesCommutative Algebra (math.AC)01 natural sciencesCombinatoricsMathematics - Algebraic GeometryMonomial idealsFOS: MathematicsComputer Science (miscellaneous)Mathematics - Combinatorics13F55 13F20 14G50 51E10 94B270101 mathematicsAlgebraic Geometry (math.AG)Engineering (miscellaneous)MathematicsSymbolic powers of idealsmonomial idealsContainment (computer programming)ConjectureIdeal (set theory)Mathematics::Commutative Algebralcsh:Mathematics010102 general mathematicslcsh:QA1-939Mathematics - Commutative AlgebraIdeals of pointsWaldschmidt constantComplement (complexity)Settore MAT/02 - AlgebraSteiner systemCover (topology)010201 computation theory & mathematicssymbolic powers of idealsIdeals of points; Monomial ideals; Steiner systems; Symbolic powers of ideals; Waldschmidt constantCombinatorics (math.CO)Settore MAT/03 - Geometriamonomial ideals ideals of points symbolic powers of ideals Waldschmidt constant Steiner systems
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Negotiating the symbolic power of information and communication technologies (ICT): The spread of Internet-supported distance education

2009

Submitted version of an article in the journal: Information Technology for Development The deposited fulltext is a preprint of the definitive article at Wiley Interscience http://dx.doi.org/10.1002/itdj.20110 The Internet may be, as typically suggested, important in distance education for facilitating connections between groups of students, educational institutions, and external learning resources. This article, however, reveals why this is not the only reason for applying information and communication technologies (ICT) in higher education in a remote area in a developing country. In addition, the Internet seems to be of great importance in symbolizing modernization and progress, thereby a…

Knowledge managementPublic AdministrationHigher educationVDP::Social science: 200::Economics: 210Computer sciencebusiness.industrymedia_common.quotation_subjectDistance educationDeveloping countryVDP::Technology: 500::Information and communication technology: 550DevelopmentPublic relationsModernization theoryComputer Science ApplicationsNegotiationInformation and Communications TechnologyThe InternetbusinessSymbolic powermedia_commonInformation Technology for Development
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Steiner systems and configurations of points

2020

AbstractThe aim of this paper is to make a connection between design theory and algebraic geometry/commutative algebra. In particular, given any Steiner SystemS(t, n, v) we associate two ideals, in a suitable polynomial ring, defining a Steiner configuration of points and its Complement. We focus on the latter, studying its homological invariants, such as Hilbert Function and Betti numbers. We also study symbolic and regular powers associated to the ideal defining a Complement of a Steiner configuration of points, finding its Waldschmidt constant, regularity, bounds on its resurgence and asymptotic resurgence. We also compute the parameters of linear codes associated to any Steiner configur…

Linear codes; Monomial ideals; Stanley Reisner rings; Steiner systems; Symbolic powersSteiner systemsBetti numberPolynomial ring0102 computer and information sciencesAlgebraic geometrySymbolic powers01 natural sciencessymbols.namesakeMathematics - Algebraic GeometryLinear codesTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYMonomial idealsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: MathematicsMathematics - CombinatoricsIdeal (ring theory)0101 mathematicsCommutative algebraAlgebraic Geometry (math.AG)Complement (set theory)MathematicsDiscrete mathematicsHilbert series and Hilbert polynomialApplied Mathematics010102 general mathematicsStanley Reisner ringsLinear codes Monomial ideals Stanley Reisner rings Steiner systems Symbolic powersComputer Science Applications51E10 13F55 13F20 14G50 94B27Settore MAT/02 - AlgebraSteiner systemSteiner systems Monomial ideals Symbolic powers Stanley Reisner rings Linear codes010201 computation theory & mathematicssymbolsCombinatorics (math.CO)Settore MAT/03 - GeometriaMathematicsofComputing_DISCRETEMATHEMATICS
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Representações sociais, sens pratique, poder simbólico e o processo de construção do ser docente

2019

A partir de las elaboraciones teóricas de los fundadores del campo de investigación de las representaciones sociales, se pretende avanzar en la construcción de un diálogo entre esta teoría y la praxis social de Pierre Bourdieu, centrándose en la relación entre las representaciones sociales, la praxis sensorial (como manifestación del hábito) y el poder simbólico, dimensión ausente en el modelo moscoviciano. La base empírica a partir de la cual se desarrollan las reflexiones presentes en este artículo se apoya en investigaciones realizadas sobre el proceso de construcción del ser docente, en la realidad de algunas ciudades del nordeste brasileño. En este sentido, se destaca lo que se cree qu…

con respecto a lo que estos autores dicen cuando se refieren al ?sentido común?. Representaciones socialesse destaca lo que se cree que aproxima y distingue entre la teoría de Moscovici y las elaboraciones de Pierre BourdieuPráctica de los sentidosSens practicesens pratiquedimensión ausente en el modelo moscoviciano. La base empírica a partir de la cual se desarrollan las reflexiones presentes en este artículo se apoya en investigaciones realizadas sobre el proceso de construcción del ser docente:SOCIOLOGÍA [UNESCO]DinizIdentidad docenteSymbolic powerSocial representationspoder simbólico e o processo de construção do ser docente Domingos Sobrinhose pretende avanzar en la construcción de un diálogo entre esta teoría y la praxis social de Pierre Bourdieuen la realidad de algunas ciudades del nordeste brasileño. En este sentido1137-7038 8537 Arxius de sociologia 558787 2019 41 7605680 Representações sociaiscentrándose en la relación entre las representaciones socialesTeaching identity. 43 64Moisésla praxis sensorial (como manifestación del hábito) y el poder simbólicoUNESCO::SOCIOLOGÍAen particularyPoder simbólicoAugusto A partir de las elaboraciones teóricas de los fundadores del campo de investigación de las representaciones sociales
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Racial Stratification of Traditional Medicine’s Consumption in South Africa

2018

Introduction: Post-apartheid South Africa remains highly stratified on variable grounds including race. The 8.9 percent (whites) of the total population has an average income per capita that is five times higher than that of 79.2 percent (blacks). Socio-economic inequalities are embedded in a ‘culture of consumption’ which includes the availability of goods for sale and the marketization of basic human life experiences including health. Study Objective: The objective of this review was to ascertain the racial status quo in traditional medicines consumption. Results: Literature shows that the consumption of traditional medicines is saturated within the Black population at 72 percent whilst d…

kulttuurisidonnaisuussymbolic powerlääketiedeperinneviolenceracial stratificationkulttuurikulutustottumuksetrodutprofessionalizationtraditional medicine tradekulutuskulttuuriEtelä-Afrikkaconsumption culturesosioekonomiset tekijät
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The global ranking game : narrowing academic excellence through numerical objectification

2018

The objective of this article is to study some of the intended and unintended effects on academe of the evolving global ranking game. I will start with some broader points on the global ranking game, the formal terms and economic interests it promotes, then continue with a presentation of the Shanghai ranking and its main rival the Times Higher Education. Through reversed engineering, I will bring out the main problems of the Shanghai ranking. I will finish with some of the key features of the demand side, the uses and effects of the tool: the psychosocial mechanisms that reproduce ranking and the lock-ins it creates. peerReviewed

rankinglistatsymbolic powerkorkea-asteen koulutusglobal ranking gameAcademic Ranking of World Universities (ARWU)numerical objectificationglobalisaatioeducational globalizationyliopistotvaltarakenteetvalta
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