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Felgner, U.: ¬Die Begriffe der Äquivalenz, der Gleichheit und der Identität (2020)
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- Abstract
- "Der Begriff der Gleichheit ist uns Mathematikern vielleicht der geläufigste; dennoch läßt sich schwer sagen, was wir unter ihm verstehen." - Mit diesem Satz beginnt GERHARD HESSENBERG sein Buch über die .Grundlagen der Geometrie' ([24], Berlin, 1930, §1). Er kommt nach einer ausführlichen Diskussion zum Schluß, daß die Relation der Gleichheit nichts anderes als eine Äquivalenzrelation sei, also eine symmetrische, transitive und reflexive Relation, und daß auch umgekehrt jede symmetrische, transitive und reflexive Relation eine Gleichheitsbeziehung sei. Die Begriffe Gleichheit und Äquivalenz wären demnach synonym. Schaut man im .Mathematischen Wörterbuch' von J. NAAS & H.L. SCHMID (Berlin, 1967) nach, so findet man unter dem Stichwort Gleichheit (p. 639) genau dieselbe Definition: "Die Gleichheit ist eine Äquivalenzrelation und umgekehrt kann jede Äquivalenzrelation als eine besondere Art von Gleichheit aufgefaßt werden."
- Content
- Vgl. die Ergänzung zur Verfügbarkeit unter Open access unter: Jahresbericht der Deutschen Mathematiker-Vereinigung. 123(2021) H.3, S.217-218. DOI: https://doi.org/10.1365/s13291-020-00214-0.
- Source
- Jahresbericht der Deutschen Mathematiker-Vereinigung. 122(2020) H.2, S.109-129
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Alker-Windbichler, S.; Bauer, K.-H.; Bruckner, W.; Cerny, N.; Kiegler-Griensteidl, M.; Labner, J.: Exemplarspezifische Erschließung im Österreichischen Bibliothekenverbund : Ergebnisse einer Arbeitsgruppe der Zentralen Redaktion (2022)
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- Source
- Mitteilungen der Vereinigung Österreichischer Bibliothekarinnen und Bibliothekare. 74(2021) H.2, S.205-233
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Garrel, J. von; Mayer, J.; Mühlfeld, M.: Künstliche Intelligenz im Studium : eine quantitative Befragung von Studierenden zur Nutzung von ChatGPT & Co. (2023)
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- Source
- https://opus4.kobv.de/opus4-h-da/frontdoor/deliver/index/docId/395/file/befragung_ki-im-studium.pdf
-
Hasubick, J.; Wiesenmüller, H.: RVK-Registerbegriffe in der Katalogrecherche : Chancen und Grenzen (2022)
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-
Fassbender, J.: Register / Indexe (2023)
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- Abstract
- Der Fokus dieses Artikels liegt auf der Indexerstellung von Publikationen, d. h. der detaillierten Indexierung der Inhalte von Dokumenten statt der Indexierung auf Dokumentebene, welche sich auf das Gesamtthema von Dokumenten beschränkt. Zu letzterer zählen z. B. das Hauptthema von Artikeln, die Sachkatalogisierung von Büchern oder die Erschließung von Objekten in der Museumsdokumentation. Die Worte Index und Register werden synonym benutzt. Das Wort Index ist nicht nur ein Homonym aus unterschiedlichen Bereichen (z. B. Finanzwesen, Mathematik), sondern auch ein Polysem im Publikationswesen, da es in romanischen Sprachen sowohl Inhaltsverzeichnis als auch Register meinen kann. Während im Finanzwesen, Mathematik u. a. die Pluralform Indizes benutzt wird, ist im bibliographischen Sinn Indexe der korrekte Plural (engl.: indexes), es sei denn, es geht um Indices zu alten Werken in lateinischer Sprache (index rerum, index nominum, index verborum). Etymologie, Bedeutung und Plural des Wortes Index erläutert Wellisch ausführlich.
-
Bee, G.; Horstkotte, M.; Jahns, Y.; Karg, H.; Nadj-Guttandin, J.: Wissen, was verbindet: . O-Bib. Das Offene Bibliotheksjournal / Herausgeber VDB, 10(1), 1-15. : GND-Arbeit zwischen Terminologie und Redaktion (2023)
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-
Escher, J.: Mündliche Prüfung mit ChatGPT : Oder warum die Primzahl 2023 = 43 × 47 ist (2023)
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- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 2023, H.2, S.102-103
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Wiesenmüller, H.: Verbale Erschließung in Katalogen und Discovery-Systemen : Überlegungen zur Qualität (2021)
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- Date
- 24. 9.2021 12:22:02
-
¬Der Student aus dem Computer (2023)
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- Date
- 27. 1.2023 16:22:55
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Menzel, S.; Schnaitter, H.; Zinck, J.; Petras, V.; Neudecker, C.; Labusch, K.; Leitner, E.; Rehm, G.: Named Entity Linking mit Wikidata und GND : das Potenzial handkuratierter und strukturierter Datenquellen für die semantische Anreicherung von Volltexten (2021)
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-
Jaeger, L.: Wissenschaftler versus Wissenschaft (2020)
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- Date
- 2. 3.2020 14:08:22
-
Wagner, E.: Über Impfstoffe zur digitalen Identität? (2020)
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- Date
- 4. 5.2020 17:22:40
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Engel, B.: Corona-Gesundheitszertifikat als Exitstrategie (2020)
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- 4. 5.2020 17:22:28
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Arndt, O.: Totale Telematik (2020)
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- Date
- 22. 6.2020 19:11:24
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Arndt, O.: Erosion der bürgerlichen Freiheiten (2020)
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- Date
- 22. 6.2020 19:16:24
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Zilm, G.: "Kl ist ein glorifizierter Taschenrechner" (2023)
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- 27. 1.2023 16:22:55
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Sokolow, A.: Es menschelt in der KI-Welt (2023)
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- 27. 1.2023 16:22:55
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Sokolow, A.: Chaostage bei ChatGPT (2023)
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- Date
- 27. 1.2023 16:22:55
-
Krattenthaler, C.: Was der h-Index wirklich aussagt (2021)
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- Abstract
- Diese Note legt dar, dass der sogenannte h-Index (Hirschs bibliometrischer Index) im Wesentlichen dieselbe Information wiedergibt wie die Gesamtanzahl von Zitationen von Publikationen einer Autorin oder eines Autors, also ein nutzloser bibliometrischer Index ist. Dies basiert auf einem faszinierenden Satz der Wahrscheinlichkeitstheorie, der hier ebenfalls erläutert wird.
- Content
- Vgl.: DOI: 10.1515/dmvm-2021-0050. Auch abgedruckt u.d.T.: 'Der h-Index - "ein nutzloser bibliometrischer Index"' in Open Password Nr. 1007 vom 06.12.2021 unter: https://www.password-online.de/?mailpoet_router&endpoint=view_in_browser&action=view&data=WzM3NCwiZDI3MzMzOTEwMzUzIiwwLDAsMzQ4LDFd.
- Object
- h-index
- Source
- Mitteilungen der Deutschen Mathematiker-Vereinigung. 2021, H.3, S.124-128
-
Henke, H.: ¬Die geplanten Neuregelungen urheberrechtlich zulässiger Unterrichts- und Lehrtätigkeiten (2021)
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- Source
- RuZ - Recht und Zugang. 2 (2021) H.1, S.27-44
