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Riesz-Fischer Maps, Semi-frames and Frames in Rigged Hilbert Spaces

2021

In this note we present a review, some considerations and new results about maps with values in a distribution space and domain in a σ-finite measure space X. Namely, this is a survey about Bessel maps, frames and bases (in particular Riesz and Gel’fand bases) in a distribution space. In this setting, the Riesz-Fischer maps and semi-frames are defined and new results about them are obtained. Some examples in tempered distributions space are examined.

symbols.namesakePure mathematicsDistribution (mathematics)Settore MAT/05 - Analisi MatematicasymbolsHilbert spaceRigged Hilbert spaceSpace (mathematics)Measure (mathematics)Frames Bases Distributions Rigged Hilbert spaceBessel functionDomain (mathematical analysis)Mathematics
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Commutative Partial O*-Algebras

2002

This chapter is devoted to the integrability of commutative partial O*-algebras. Three notions of weak commutativity, commutativity and strong commutativity of an O*-vector space are defined and investigated. In Section 3.1, we analyze the relation between the integrability of weakly commutative O*-vector space M and the commutativity of the von Neumann algebra (M w ′ )′. In Section 3.2, we study the integrable extensions of partial O*-algebras. In Section 3.3, we describe another explicit example, namely, the partial O*-algebra M[S, T] generated by two weakly commuting symmetric operators S and T defined on a common dense domain in a Hilbert space. In particular, we investigate in detail t…

symbols.namesakePure mathematicsSection (category theory)Von Neumann algebraDomain (ring theory)Hilbert spacesymbolsStructure (category theory)Algebraic extensionSpace (mathematics)Commutative propertyMathematics
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Computing Difficulties for Deriving Poverty Indices from Some Functional Forms of Lorenz Curves

2014

We examine three families of classical one-parameter functional forms for estimating a Lorenz curve: the power form (Pareto, elementary form), the exponential form (Gupta, elementary form) and fractional form (Rohde). For the first time, we systematically study these functions not for their ability to be estimated but on the point of view of the possibility of deriving poverty indices, which implies first determining the headcount ratio (i.e., the percentage of poor). We show that computing difficulties have been largely underestimated. Two forms, the most simple ones, pose no problem: the elementary power and exponential forms. However, the Pareto functional form poses problem with a restr…

symbols.namesakeSimple (abstract algebra)Lambert W functionLine (geometry)symbolsPareto principleApplied mathematicsLorenz curveMathematical economicsLeast squaresDomain (mathematical analysis)Exponential functionMathematicsSSRN Electronic Journal
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Caractérisation et diagenèse thermique des roches mères pétrolières de la série des Schistes d'âge néocomien moyen-barrémien dans le bassin intérieur…

2006

8 pages; International audience

série des Schistes[SDE.MCG]Environmental Sciences/Global Changesbassin intérieur[ SDU.STU.ST ] Sciences of the Universe [physics]/Earth Sciences/Stratigraphy[ SDU.STU.GC ] Sciences of the Universe [physics]/Earth Sciences/Geochemistry[SDE.MCG.CPE]Environmental Sciences/Global Changes/domain_sde.mcg.cpeNéocomien[SDE.MCG.CPE] Environmental Sciences/Global Changes/domain_sde.mcg.cpe[ SDE.MCG.CPE ] Environmental Sciences/Global Changes/domain_sde.mcg.cpe[ SDE.MCG ] Environmental Sciences/Global Changes[SDE.MCG] Environmental Sciences/Global Changes[SDU.STU.GC]Sciences of the Universe [physics]/Earth Sciences/Geochemistry[SDU.STU.ST]Sciences of the Universe [physics]/Earth Sciences/Stratigraphymatière organiquegéochimie organique[SDU.STU.GC] Sciences of the Universe [physics]/Earth Sciences/Geochemistry[SDU.STU.ST] Sciences of the Universe [physics]/Earth Sciences/StratigraphyBarrémienGabonComputingMilieux_MISCELLANEOUS
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Fault-proneness of open source software: Exploring its relations to internal software quality and maintenance process

2013

The goal of this study is to explore how fault-proneness of open source software (OSS) could be explained in terms of internal quality attributes and maintenance process metrics. We reviewed earlier studies and performed a multiple case study of eight Java-based projects based on data available in the Source Forge repository. Overall, we studied 342 re- leases of those systems. As is usual, software quality was regarded as a set of internal and external quality attributes. A to- tal of 76 internal quality attributes were measured from the source code of the selected systems via the tool SoftCalc. Two external quality attributes contributing to fault-proneness were in turn obtained from the …

ta113Engineeringfault-pronenessbusiness.industryopen-source softwareSoftware developmentohjelmiston ylläpitoprosessiSoftware peer reviewsoftware qualityohjelmiston laatuSoftware qualityavoimen lähdekoodin ohjelmistoSoftware analyticsvirhealttiusSoftware sizingPersonal software processohjelmistomittaritSoftware quality analystsoftware metricsSoftware verification and validationSoftware engineeringbusinesssoftware maintenance processThe Open Software Engineering Journal
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Cross-Domain Recommendations with Overlapping Items

2016

In recent years, there has been an increasing interest in cross-domain recommender systems. However, most existing works focus on the situation when only users or users and items overlap in different domains. In this paper, we investigate whether the source domain can boost the recommendation performance in the target domain when only items overlap. Due to the lack of publicly available datasets, we collect a dataset from two domains related to music, involving both the users’ rating scores and the description of the items. We then conduct experiments using collaborative filtering and content-based filtering approaches for validation purpose. According to our experimental results, the sourc…

ta113Information retrievaldata collectionComputer sciencesuosittelujärjestelmät02 engineering and technologyDomain (software engineering)020204 information systemscollaborative filtering0202 electrical engineering electronic engineering information engineeringcross-domain recommendationscontent-based filtering020201 artificial intelligence & image processingrecommender systems
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Volkswagen Emission Crisis : Managing Stakeholder Relations on the Web

2016

Organizations establish their own profiles at social media sites to publish pertinent information to customers and other stakeholders. During a long and severe crisis, multiple issues may emerge in media interaction. Positive responses and prompt interaction from the official account of e.g. a car manufacturer creates clarity and reduces anxiety among stakeholders. This research targets the Volkswagen 2015 emission scandal that became public on Sept. 18, 2015. We report its main phases over time based on public web information. To better understand the online interaction and reactions of the company, we scrutinized what information was published on VW’s official web sites, Facebook, and Twi…

ta113Knowledge managementComputer sciencebusiness.industrystakeholder theorysocial media05 social sciencesStakeholder relationssosiaalinen mediareputationGMemission scandalissuesVolkswagencrisis0502 economics and businessmaine050211 marketingimageta518business050203 business & management
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Ontology-based standardization on knowledge exchange in social knowledge management environments

2012

After the hype around Web 2.0, organizations have revisited their efforts on knowledge management in order to create beneficial effects from their employees' activities in social environments. While there is not much doubt about the positive effects on creativity and flexibility, handling the variety of knowledge work environments that are in use at different organizational units or business partners can negatively affect productivity. While standards have generally mushroomed in the IT domain, there is a lack of standards in knowledge management. This paper argues for a standard on exchanging knowledge between social environments. We revisit related work, particularly standards which can b…

ta113Knowledge managementbusiness.industryComputer science05 social sciencesKnowledge engineeringKnowledge value chainProcedural knowledgeBody of knowledgeKnowledge-based systems0502 economics and businessOrganizational learningPersonal knowledge managementDomain knowledge050211 marketingbusiness050203 business & managementProceedings of the 12th International Conference on Knowledge Management and Knowledge Technologies
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Exploiting ongoing EEG with multilinear partial least squares during free-listening to music

2016

During real-world experiences, determining the stimulus-relevant brain activity is excitingly attractive and is very challenging, particularly in electroencephalography. Here, spectrograms of ongoing electroencephalogram (EEG) of one participant constructed a third-order tensor with three factors of time, frequency and space; and the stimulus data consisting of acoustical features derived from the naturalistic and continuous music formulated a matrix with two factors of time and the number of features. Thus, the multilinear partial least squares (PLS) conforming to the canonical polyadic (CP) model was performed on the tensor and the matrix for decomposing the ongoing EEG. Consequently, we …

ta113Multilinear mapmedicine.diagnostic_testBrain activity and meditationSpeech recognition02 engineering and technologyElectroencephalographyta3112Matrix decomposition03 medical and health sciences0302 clinical medicinetensor decompositionFrequency domainPartial least squares regression0202 electrical engineering electronic engineering information engineeringmedicineSpectrogramOngoing EEG020201 artificial intelligence & image processingmusicTime domain030217 neurology & neurosurgerymultilinear partial least squaresMathematics
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Icons: Visual representation to enrich requirements engineering work

2013

Adapting icons in requirements engineering can support the multifaceted needs of stakeholders. Conventional ap- proaches to RE are mainly highlighted in diagrams. This paper introduces icon-based information as a way to represent ideas and concepts in the requirements engineering domain. We report on icon artifacts that support requirements engi- neering work such as priority types, status states and stakeholder kinds. We evaluate how users interpret meanings of icons and the efficacy of icon prototypes shaped to represent those requirements attributes. Our hypothesis is whether practitioners can recognize the icons’ meaning in terms of their functional representation. According to the empi…

ta113Requirements engineeringComputer scienceProcess (engineering)Interpretation (philosophy)Stakeholdervisuaalinen kieliikonitDomain (software engineering)Visual languagevaatimusmäärittelyHuman–computer interactionvisual languagekulttuuriiconsvaatimustenhallintaIconstakeholdercomputercomputer.programming_languageMeaning (linguistics)
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