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Трансформации при переводе научной аннотации на английский язык ; Using Transformations for Translating Scientific Abstracts into English
Чернышев, А. В.. - : ООО «Издательство УМЦ УПИ», 2019
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Mahonian STAT on words
In: ISSN: 0020-0190 ; Information Processing Letters ; https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01418254 ; Information Processing Letters, Elsevier, 2016, 116 (2), pp.157 - 162. ⟨10.1016/j.ipl.2015.09.006⟩ ; http://www.sciencedirect.com/science/article/pii/S0020019015001611 (2016)
Abstract: International audience ; In 2000, Babson and Steingrímsson introduced the notion of what is now known as a permutation vincular pattern, and based on it they re-defined known Mahonian statistics and introduced new ones, proving or conjecturing their Mahonity. These conjectures were proved by Foata and Zeilberger in 2001, and by Foata and Randrianarivony in 2006. In 2010, Burstein refined some of these results by giving a bijection between permutations with a fixed value for the major index and those with the same value for STAT , where STAT is one of the statistics defined and proved to be Mahonian in the 2000 Babson and Steingrímsson's paper. Several other statistics are preserved as well by Burstein's bijection. At the Formal Power Series and Algebraic Combinatorics Conference (FPSAC) in 2010, Burstein asked whether his bijection has other interesting properties. In this paper, we not only show that Burstein's bijection preserves the Eulerian statistic ides , but also use this fact, along with the bijection itself, to prove Mahonity of the statistic STAT on words we introduce in this paper. The words statistic STAT introduced by us here addresses a natural question on existence of a Mahonian words analogue of STAT on permutations. While proving Mahonity of our STAT on words, we prove a more general joint equidistribution result involving two six-tuples of statistics on (dense) words, where Burstein's bijection plays an important role.
Keyword: [INFO]Computer Science [cs]; Bijections; Combinatorial problems; Combinatorics; Equidistribution; Mathematical Analysis; Mathematical proofs; Pattern; Permutations; Statistic; Words and Permutations
URL: https://doi.org/10.1016/j.ipl.2015.09.006
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01418254
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A general framework for the realistic analysis of sorting and searching algorithms. Application to some popular algorithms
In: 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013) ; https://hal.archives-ouvertes.fr/hal-00913309 ; 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013), 2013, Kiel, Germany. pp.598--609, ⟨10.4230/LIPIcs.STACS.2013.598⟩ (2013)
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4
On the combinatorics of suffix arrays
In: ISSN: 0020-0190 ; Information Processing Letters ; https://hal.archives-ouvertes.fr/hal-00864634 ; Information Processing Letters, Elsevier, 2013, 113 (22-24), pp.915-920. ⟨10.1016/j.ipl.2013.09.009⟩ (2013)
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A general framework for the realistic analysis of sorting and searching algorithms. Application to some popular algorithms
Nguyen Thi, Thu Hien. - : Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2013. : LIPIcs - Leibniz International Proceedings in Informatics. 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013), 2013
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Compressed Representations of Permutations, and Applications
Barbay, Jeremy; Navarro, Gonzalo. - : LIPIcs - Leibniz International Proceedings in Informatics. 26th International Symposium on Theoretical Aspects of Computer Science, 2009
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7
Idioms in example-based machine translation
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8
ADAPTIVE REORDERING OF OBSERVATION SPACE TO IMPROVE PATTERN RECOGNITION
In: http://www.task.gda.pl/files/quart/TQ2007/01-02/tq111m-e.pdf (2007)
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Words Reordering Based On Statistical Language Model ...
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Words Reordering Based On Statistical Language Model ...
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N-Grams: A Tool For Repairing Word Order Errors In Ill-Formed Texts ...
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N-Grams: A Tool For Repairing Word Order Errors In Ill-Formed Texts ...
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13
A Preliminary Statistical Investigation into the Impace of an N-Gram Analysis Approach Based on World Syntactic Categories Toward Text Author Classification
In: DTIC (2000)
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14
Uses of the Diagnostic Rhyme Test (English Version) for Predicting the Effects of Communicators' Linguistic Backgrounds on Voice Communications in English: An Exploratory Study
In: DTIC (2000)
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15
Ranking and Unranking of Lexicographically Ordered Words: An Average-Case Analysis
In: http://boa.sads.informatik.uni-frankfurt.de:8000/jens/rank.ps (1997)
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16
Labelled Formal Languages and Their Uses.
In: DTIC AND NTIS (1991)
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17
(-l 1992 Gordon and Brcach Scicncc Publishers S.A. Printed in the United Kinedom ON RANDOM AND ADAPTIVE PARALLEL GENERATION OF COMBINATORIAL OBJECTS
In: http://www.site.uottawa.ca/~ivan/F22-random-parallel.PDF (1990)
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18
A Government-Binding Based Parser for Warlpiri, a Free-Word Order Language.
In: DTIC AND NTIS (1987)
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19
Stack permutations and an order relation for binary trees
In: Department of Computing Science Working Paper Series (1982)
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20
A Decision Problem of Finite State Probabilistic Automata.
In: DTIC AND NTIS (1971)
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