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  1. Boldi, P.; Santini, M.; Vigna, S.: PageRank as a function of the damping factor (2005) 0.05
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    Abstract
    PageRank is defined as the stationary state of a Markov chain. The chain is obtained by perturbing the transition matrix induced by a web graph with a damping factor alpha that spreads uniformly part of the rank. The choice of alpha is eminently empirical, and in most cases the original suggestion alpha=0.85 by Brin and Page is still used. Recently, however, the behaviour of PageRank with respect to changes in alpha was discovered to be useful in link-spam detection. Moreover, an analytical justification of the value chosen for alpha is still missing. In this paper, we give the first mathematical analysis of PageRank when alpha changes. In particular, we show that, contrarily to popular belief, for real-world graphs values of alpha close to 1 do not give a more meaningful ranking. Then, we give closed-form formulae for PageRank derivatives of any order, and an extension of the Power Method that approximates them with convergence O(t**k*alpha**t) for the k-th derivative. Finally, we show a tight connection between iterated computation and analytical behaviour by proving that the k-th iteration of the Power Method gives exactly the PageRank value obtained using a Maclaurin polynomial of degree k. The latter result paves the way towards the application of analytical methods to the study of PageRank.
    Date
    16. 1.2016 10:22:28
  2. Zanibbi, R.; Yuan, B.: Keyword and image-based retrieval for mathematical expressions (2011) 0.05
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    Abstract
    Two new methods for retrieving mathematical expressions using conventional keyword search and expression images are presented. An expression-level TF-IDF (term frequency-inverse document frequency) approach is used for keyword search, where queries and indexed expressions are represented by keywords taken from LATEX strings. TF-IDF is computed at the level of individual expressions rather than documents to increase the precision of matching. The second retrieval technique is a form of Content-Base Image Retrieval (CBIR). Expressions are segmented into connected components, and then components in the query expression and each expression in the collection are matched using contour and density features, aspect ratios, and relative positions. In an experiment using ten randomly sampled queries from a corpus of over 22,000 expressions, precision-at-k (k= 20) for the keyword-based approach was higher (keyword: µ= 84.0,s= 19.0, image-based:µ= 32.0,s= 30.7), but for a few of the queries better results were obtained using a combination of the two techniques.
    Date
    22. 2.2017 12:53:49
  3. Bärnreuther, K.: Informationskompetenz-Vermittlung für Schulklassen mit Wikipedia und dem Framework Informationskompetenz in der Hochschulbildung (2021) 0.04
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    Source
    o-bib: Das offene Bibliotheksjournal. 8(2021) Nr.2, S.1-22
  4. Popper, K.R.: Three worlds : the Tanner lecture on human values. Deliverd at the University of Michigan, April 7, 1978 (1978) 0.04
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    Source
    https%3A%2F%2Ftannerlectures.utah.edu%2F_documents%2Fa-to-z%2Fp%2Fpopper80.pdf&usg=AOvVaw3f4QRTEH-OEBmoYr2J_c7H
  5. Hegna, K.: Using FRBR (2004) 0.03
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  6. Zeilmann, K.; Beer, K.; dpa: Tablet statt Lehrbuch : wie die Digitalisierung die Unis verändert (2016) 0.02
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  7. Van der Veer Martens, B.: Do citation systems represent theories of truth? (2001) 0.02
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    Date
    22. 7.2006 15:22:28
  8. Wolchover, N.: Wie ein Aufsehen erregender Beweis kaum Beachtung fand (2017) 0.02
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    Date
    22. 4.2017 10:42:05
    22. 4.2017 10:48:38
  9. Dunning, A.: Do we still need search engines? (1999) 0.02
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    Source
    Ariadne. 1999, no.22
  10. Graf, K.: Sci Hub, Fernleihe und Open Access (2016) 0.02
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  11. Lehmann, K.: Wissen, glauben, zweifeln, hoffen (2020) 0.02
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  12. Krug, K.: ¬The Hitchhickers Guide to the Integer : Die Sache mit der 42 (2020) 0.02
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  13. Graf, K.: Zur Open-Access-Heuchelei der Bibliotheken : sie lassen ihr Repositorium e-LiS verkommen (2021) 0.02
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  14. Roose, K.: ¬The brilliance and weirdness of ChatGPT (2022) 0.02
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  15. Chessum, K.; Haiming, L.; Frommholz, I.: ¬A study of search user interface design based on Hofstede's six cultural dimensions (2022) 0.02
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  16. Graf, K.: DNB, die "schlechteste Nationalbibliothek der Galaxis" (Graf), laesst einmal mehr URN-Links ins Leere laufen (2023) 0.02
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  17. Qin, J.; Paling, S.: Converting a controlled vocabulary into an ontology : the case of GEM (2001) 0.02
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    Date
    24. 8.2005 19:20:22
  18. Jaeger, L.: Wissenschaftler versus Wissenschaft (2020) 0.02
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    Date
    2. 3.2020 14:08:22
  19. Jeffrey, K.: Erinnerung ist manipulierbar (2018) 0.02
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  20. Anutariya, C.; Wuwongse, K.; Akama, E.; Nantajeewarawat, E.: RDF Declarative Description (RDD) : A Language for Metadata (2002) 0.02
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