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Gittenberger, Bernhard

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 Author ID: gittenberger.bernhard Published as: Gittenberger, B.; Gittenberger, Bernard; Gittenberger, Bernhard External Links: MGP · Wikidata
 Documents Indexed: 61 Publications since 1997, including 3 Books
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Co-Authors

 10 single-authored 16 Drmota, Michael 13 Gardy, Danièle 9 Genitrini, Antoine 5 Bodini, Olivier 4 de Panafieu, Elie 4 Kraus, Veronika 4 Mailler, Cécile 4 Panholzer, Alois 3 Banderier, Cyril 3 Gołȩbiewski, Zbigniew 3 Louchard, Guy 3 Wallner, Michael 2 Asinowski, Andrei 2 Bacher, Axel 2 Collet, Gwendal 2 Flajolet, Philippe 2 Fournier, Hervé 2 Jin, Emma Yu 2 Kuba, Markus F. 2 Ravelomanana, Vlady 2 Thuswaldner, Jörg Maximilian 1 Chauvin, Brigitte 1 Daxner, Veronika 1 Fuchs, Michael 1 Jacquot, Alice 1 Karigl, Günther 1 Kauers, Manuel 1 Klausner, Thomas 1 Kutzelnigg, Reinhard 1 Larcher, Isabella 1 Mandlburger, Johannes 1 Mansouri, Marefatollah 1 Morgenbesser, Johannes F. 1 Prodinger, Helmut 1 Wagner, Stephan G. 1 Ward, Mark Daniel
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Serials

 5 Random Structures & Algorithms 4 The Electronic Journal of Combinatorics 3 Algorithmica 2 Discrete Mathematics 2 Journal of Combinatorial Theory. Series A 2 European Journal of Combinatorics 2 Statistics & Probability Letters 1 Discrete Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Canadian Mathematical Bulletin 1 Journal of Applied Probability 1 Journal of Graph Theory 1 Journal of Number Theory 1 Theoretical Computer Science 1 Journal of Theoretical Probability 1 SIAM Journal on Discrete Mathematics 1 Journal of Applied Mathematics and Stochastic Analysis 1 Stochastic Processes and their Applications 1 The Australasian Journal of Combinatorics 1 Grazer Mathematische Berichte 1 Combinatorics, Probability and Computing 1 Annals of Combinatorics 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Berliner Studienreihe zur Mathematik 1 Applicable Analysis and Discrete Mathematics 1 Discrete Mathematics & Theoretical Computer Science. Proceedings 1 Trends in Mathematics
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Fields

 41 Combinatorics (05-XX) 28 Probability theory and stochastic processes (60-XX) 16 Computer science (68-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 8 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH

44 Publications have been cited 179 times in 112 Documents Cited by Year
On the profile of random trees. Zbl 0882.60084
Drmota, Michael; Gittenberger, Bernhard
1997
The distribution of nodes of given degree in random trees. Zbl 0929.05019
Drmota, Michael; Gittenberger, Bernhard
1999
The shape of unlabeled rooted random trees. Zbl 1221.05047
Drmota, Michael; Gittenberger, Bernhard
2010
And/or trees revisited. Zbl 1077.94526
Chauvin, B.; Flajolet, P.; Gardy, D.; Gittenberger, B.
2004
Enumeration and asymptotics for the area of lattice paths. Zbl 1190.05003
Banderier, Cyril; Gittenberger, Bernhard
2006
Enumeration of generalized BCI lambda-terms. Zbl 1295.05040
Bodini, Olivier; Gardy, Danièle; Gittenberger, Bernhard; Jacquot, Alice
2013
A note on “State spaces of the snake and its tour: convergence of the discrete snake” by J.-F. Marckert and A. Mokkadem. Zbl 1050.60080
Gittenberger, Bernhard
2003
Lambda terms of bounded unary height. Zbl 1429.68155
Bodini, Olivier; Gardy, Danièle; Gittenberger, Bernhard
2011
The moments of the sum-of-digits function in number fields. Zbl 1011.11009
Gittenberger, Bernhard; Thuswaldner, Jörg M.
1999
The fraction of large random trees representing a given Boolean function in implicational logic. Zbl 1239.03004
Fournier, Hervé; Gardy, Danièle; Genitrini, Antoine; Gittenberger, Bernhard
2012
Nodes of large degree in random trees and forests. Zbl 1095.05035
Gittenberger, Bernhard
2006
Asymptotic normality of $$b$$-additive functions on polynomial sequences in the Gaussian number field. Zbl 0989.11040
Gittenberger, Bernhard; Thuswaldner, Jörg M.
2000
The Brownian excursion multi-dimensional local time density. Zbl 0945.60068
Gittenberger, Bernhard; Louchard, Guy
1999
On the contour of random trees. Zbl 0935.05032
Gittenberger, Bernhard
1999
On the number of unary-binary tree-like structures with restrictions on the unary height. Zbl 1384.05034
Bodini, Olivier; Gardy, Danièle; Gittenberger, Bernhard; Gołębiewski, Zbigniew
2018
On the number of lambda terms with prescribed size of their de Bruijn representation. Zbl 1434.03051
Gittenberger, Bernhard; Golebiewski, Zbigniew
2016
Infinite systems of functional equations and Gaussian limiting distributions. Zbl 1296.60011
Drmota, Michael; Gittenberger, Bernhard; Morgenbesser, Johannes F.
2012
The degree distribution of thickened trees. Zbl 1355.68205
Drmota, Michael; Gittenberger, Bernhard; Panholzer, Alois
2008
The width of Galton-Watson trees conditioned by the size. Zbl 1063.60120
Drmota, Michael; Gittenberger, Bernhard
2004
Enumerating lambda terms by weighted length of their de Bruijn representation. Zbl 1382.05006
Bodini, Olivier; Gittenberger, Bernhard; Gołębiewski, Zbigniew
2018
Associative and commutative tree representations for Boolean functions. Zbl 1314.94120
Genitrini, Antoine; Gittenberger, Bernhard; Kraus, Veronika; Mailler, Cécile
2015
Probabilities of Boolean functions given by random implicational formulas. Zbl 1243.03011
Genitrini, Antoine; Gittenberger, Bernhard; Kraus, Veronika; Mailler, Cécile
2012
On the profile of random forests. Zbl 1032.60005
Gittenberger, Bernhard
2002
Convergence of branching processes to the local time of a Bessel process. Zbl 0971.60084
Gittenberger, Bernhard
1998
Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata. Zbl 1437.68091
Asinowski, Andrei; Bacher, Axel; Banderier, Cyril; Gittenberger, Bernhard
2020
Counting phylogenetic networks with few reticulation vertices: tree-child and normal networks. Zbl 1411.05240
Fuchs, Michael; Gittenberger, Bernhard; Mansouri, Marefatollah
2019
Analytic combinatorics of lattice paths with forbidden patterns: enumerative aspects. Zbl 1437.68090
Asinowski, Andrei; Bacher, Axel; Banderier, Cyril; Gittenberger, Bernhard
2018
On the shape of the fringe of various types of random trees. Zbl 1181.68334
Drmota, Michael; Gittenberger, Bernhard; Panholzer, Alois; Prodinger, Helmut; Ward, Mark Daniel
2009
Extended admissible functions and Gaussian limiting distributions. Zbl 1078.41025
Drmota, Michael; Gittenberger, Bernhard; Klausner, Thomas
2005
On the local time density of the reflecting Brownian bridge. Zbl 0963.60073
Gittenberger, Bernhard; Louchard, Guy
2000
Threshold functions for small subgraphs in simple graphs and multigraphs. Zbl 1442.05092
Collet, Gwendal; de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Ravelomanana, Vlady
2020
Asymptotic enumeration of compacted binary trees of bounded right height. Zbl 1433.05154
Genitrini, Antoine; Gittenberger, Bernhard; Kauers, Manuel; Wallner, Michael
2020
On the shape of random Pólya structures. Zbl 1380.05180
Gittenberger, Bernhard; Jin, Emma Yu; Wallner, Michael
2018
Threshold functions for small subgraphs: an analytic approach. Zbl 1378.05089
Collet, Gwendal; de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Ravelomanana, Vlady
2017
The relation between tree size complexity and probability for boolean functions generated by uniform random trees. Zbl 06750211
Daxner, Veronika; Genitrini, Antoine; Gittenberger, Bernhard; Mailler, Cécile
2016
2-Xor revisited: satisfiability and probabilities of functions. Zbl 1352.68193
de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Kuba, Markus
2016
Probabilities of 2-Xor functions. Zbl 1351.68192
de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Kuba, Markus
2014
No Shannon effect on probability distributions on Boolean functions induced by random expressions. Zbl 1355.68119
Genitrini, Antoine; Gittenberger, Bernhard
2010
Complexity and limiting ratio of Boolean functions over implication. Zbl 1173.03301
Fournier, Hervé; Gardy, Danièle; Genitrini, Antoine; Gittenberger, Bernhard
2008
Hayman admissible functions in several variables. Zbl 1113.05010
Gittenberger, Bernhard; Mandlburger, Johannes
2006
Some results for monotonically labelled simply generated trees. Zbl 1104.68084
Gittenberger, Bernard; Panholzer, Alois
2005
A unified presentation of some urn models. Zbl 0969.60016
Drmota, M.; Gardy, D.; Gittenberger, B.
2001
The number of descendants in simply generated random trees. Zbl 0965.68070
Gittenberger, Bernhard
2000
Strata of random mappings—a combinatorial approach. Zbl 0993.05009
Drmota, Michael; Gittenberger, Bernhard
1999
Analytic combinatorics of lattice paths with forbidden patterns, the vectorial kernel method, and generating functions for pushdown automata. Zbl 1437.68091
Asinowski, Andrei; Bacher, Axel; Banderier, Cyril; Gittenberger, Bernhard
2020
Threshold functions for small subgraphs in simple graphs and multigraphs. Zbl 1442.05092
Collet, Gwendal; de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Ravelomanana, Vlady
2020
Asymptotic enumeration of compacted binary trees of bounded right height. Zbl 1433.05154
Genitrini, Antoine; Gittenberger, Bernhard; Kauers, Manuel; Wallner, Michael
2020
Counting phylogenetic networks with few reticulation vertices: tree-child and normal networks. Zbl 1411.05240
Fuchs, Michael; Gittenberger, Bernhard; Mansouri, Marefatollah
2019
On the number of unary-binary tree-like structures with restrictions on the unary height. Zbl 1384.05034
Bodini, Olivier; Gardy, Danièle; Gittenberger, Bernhard; Gołębiewski, Zbigniew
2018
Enumerating lambda terms by weighted length of their de Bruijn representation. Zbl 1382.05006
Bodini, Olivier; Gittenberger, Bernhard; Gołębiewski, Zbigniew
2018
Analytic combinatorics of lattice paths with forbidden patterns: enumerative aspects. Zbl 1437.68090
Asinowski, Andrei; Bacher, Axel; Banderier, Cyril; Gittenberger, Bernhard
2018
On the shape of random Pólya structures. Zbl 1380.05180
Gittenberger, Bernhard; Jin, Emma Yu; Wallner, Michael
2018
Threshold functions for small subgraphs: an analytic approach. Zbl 1378.05089
Collet, Gwendal; de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Ravelomanana, Vlady
2017
On the number of lambda terms with prescribed size of their de Bruijn representation. Zbl 1434.03051
Gittenberger, Bernhard; Golebiewski, Zbigniew
2016
The relation between tree size complexity and probability for boolean functions generated by uniform random trees. Zbl 06750211
Daxner, Veronika; Genitrini, Antoine; Gittenberger, Bernhard; Mailler, Cécile
2016
2-Xor revisited: satisfiability and probabilities of functions. Zbl 1352.68193
de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Kuba, Markus
2016
Associative and commutative tree representations for Boolean functions. Zbl 1314.94120
Genitrini, Antoine; Gittenberger, Bernhard; Kraus, Veronika; Mailler, Cécile
2015
Probabilities of 2-Xor functions. Zbl 1351.68192
de Panafieu, Élie; Gardy, Danièle; Gittenberger, Bernhard; Kuba, Markus
2014
Enumeration of generalized BCI lambda-terms. Zbl 1295.05040
Bodini, Olivier; Gardy, Danièle; Gittenberger, Bernhard; Jacquot, Alice
2013
The fraction of large random trees representing a given Boolean function in implicational logic. Zbl 1239.03004
Fournier, Hervé; Gardy, Danièle; Genitrini, Antoine; Gittenberger, Bernhard
2012
Infinite systems of functional equations and Gaussian limiting distributions. Zbl 1296.60011
Drmota, Michael; Gittenberger, Bernhard; Morgenbesser, Johannes F.
2012
Probabilities of Boolean functions given by random implicational formulas. Zbl 1243.03011
Genitrini, Antoine; Gittenberger, Bernhard; Kraus, Veronika; Mailler, Cécile
2012
Lambda terms of bounded unary height. Zbl 1429.68155
Bodini, Olivier; Gardy, Danièle; Gittenberger, Bernhard
2011
The shape of unlabeled rooted random trees. Zbl 1221.05047
Drmota, Michael; Gittenberger, Bernhard
2010
No Shannon effect on probability distributions on Boolean functions induced by random expressions. Zbl 1355.68119
Genitrini, Antoine; Gittenberger, Bernhard
2010
On the shape of the fringe of various types of random trees. Zbl 1181.68334
Drmota, Michael; Gittenberger, Bernhard; Panholzer, Alois; Prodinger, Helmut; Ward, Mark Daniel
2009
The degree distribution of thickened trees. Zbl 1355.68205
Drmota, Michael; Gittenberger, Bernhard; Panholzer, Alois
2008
Complexity and limiting ratio of Boolean functions over implication. Zbl 1173.03301
Fournier, Hervé; Gardy, Danièle; Genitrini, Antoine; Gittenberger, Bernhard
2008
Enumeration and asymptotics for the area of lattice paths. Zbl 1190.05003
Banderier, Cyril; Gittenberger, Bernhard
2006
Nodes of large degree in random trees and forests. Zbl 1095.05035
Gittenberger, Bernhard
2006
Hayman admissible functions in several variables. Zbl 1113.05010
Gittenberger, Bernhard; Mandlburger, Johannes
2006
Extended admissible functions and Gaussian limiting distributions. Zbl 1078.41025
Drmota, Michael; Gittenberger, Bernhard; Klausner, Thomas
2005
Some results for monotonically labelled simply generated trees. Zbl 1104.68084
Gittenberger, Bernard; Panholzer, Alois
2005
And/or trees revisited. Zbl 1077.94526
Chauvin, B.; Flajolet, P.; Gardy, D.; Gittenberger, B.
2004
The width of Galton-Watson trees conditioned by the size. Zbl 1063.60120
Drmota, Michael; Gittenberger, Bernhard
2004
A note on “State spaces of the snake and its tour: convergence of the discrete snake” by J.-F. Marckert and A. Mokkadem. Zbl 1050.60080
Gittenberger, Bernhard
2003
On the profile of random forests. Zbl 1032.60005
Gittenberger, Bernhard
2002
A unified presentation of some urn models. Zbl 0969.60016
Drmota, M.; Gardy, D.; Gittenberger, B.
2001
Asymptotic normality of $$b$$-additive functions on polynomial sequences in the Gaussian number field. Zbl 0989.11040
Gittenberger, Bernhard; Thuswaldner, Jörg M.
2000
On the local time density of the reflecting Brownian bridge. Zbl 0963.60073
Gittenberger, Bernhard; Louchard, Guy
2000
The number of descendants in simply generated random trees. Zbl 0965.68070
Gittenberger, Bernhard
2000
The distribution of nodes of given degree in random trees. Zbl 0929.05019
Drmota, Michael; Gittenberger, Bernhard
1999
The moments of the sum-of-digits function in number fields. Zbl 1011.11009
Gittenberger, Bernhard; Thuswaldner, Jörg M.
1999
The Brownian excursion multi-dimensional local time density. Zbl 0945.60068
Gittenberger, Bernhard; Louchard, Guy
1999
On the contour of random trees. Zbl 0935.05032
Gittenberger, Bernhard
1999
Strata of random mappings—a combinatorial approach. Zbl 0993.05009
Drmota, Michael; Gittenberger, Bernhard
1999
Convergence of branching processes to the local time of a Bessel process. Zbl 0971.60084
Gittenberger, Bernhard
1998
On the profile of random trees. Zbl 0882.60084
Drmota, Michael; Gittenberger, Bernhard
1997
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Cited by 138 Authors

 15 Gittenberger, Bernhard 7 Drmota, Michael 7 Gardy, Danièle 7 Marckert, Jean-François 6 Genitrini, Antoine 5 Hwang, Hsien-Kuei 4 Bodini, Olivier 4 Janson, Svante 4 Llado, Anna S. 4 Madritsch, Manfred G. 4 Mahmoud, Hosam M. 4 Mailler, Cécile 4 Wallner, Michael 3 Banderier, Cyril 3 Bendkowski, Maciej 3 de Panafieu, Elie 3 Fuchs, Michael 3 Kuba, Markus F. 3 Li, Yiyang 3 Panagiotou, Konstantinos D. 3 Panholzer, Alois 3 Thuswaldner, Jörg Maximilian 3 Wagner, Stephan G. 2 Afanas’ev, Valeriĭ Ivanovich 2 Asinowski, Andrei 2 Bousquet-Mélou, Mireille 2 Collet, Gwendal 2 Devroye, Luc P. J. A. 2 Dovgal, Sergey 2 Gołȩbiewski, Zbigniew 2 Jin, Emma Yu 2 Kozik, Jakub 2 Kraus, Veronika 2 Krenn, Daniel 2 Le Gall, Jean-François 2 Lescanne, Pierre 2 Li, Xueliang 2 Louchard, Guy 2 Miermont, Grégory 2 Mokkadem, Abdelkader 2 Morgenbesser, Johannes F. 2 Schwerdtfeger, Uwe 2 Sinha, Makrand 2 Uribe Bravo, Gerónimo 2 Zacharovas, Vytas 2 Zhang, Louxin 1 Addario-Berry, Louigi 1 Bacher, Axel 1 Biham, Ofer 1 Bouvel, Mathilde 1 Broutin, Nicolas 1 Caballero, María Emilia 1 Cai, Xing Shi 1 Cardona, Gabriel 1 Chang, Huilan 1 Chauve, Cedric 1 Chauvin, Brigitte 1 Chen, Chen 1 Chen, Louis Hsiao-Yun 1 Curtarolo, Stefano 1 Darrasse, Alexis 1 Denisov, Denis E. 1 Deutsch, Emeric 1 D’Souza, Raissa M. 1 Dziemiańczuk, Maciej 1 Fang, Wenjie 1 Flajolet, Philippe 1 Forcade, Rodney W. 1 Fournier, Hervé 1 Fujita, Takahiko 1 Gnedin, Alexander V. 1 Grygiel, Katarzyna 1 Gunawan, Andreas Dwi Maryanto 1 Haas, Bénédicte 1 Hart, Gus L. W. 1 Heuberger, Clemens 1 Holmgren, Cecilia Ingrid 1 Iksanov, Aleksander M. 1 Jacquot, Alice 1 Johansson, Tony 1 Kalpathy, Ravi 1 Katzav, Eytan 1 Kauers, Manuel 1 Kharlamov, Viatcheslav M. 1 Khrabrov, A. I. 1 Klausner, Lukas Daniel 1 Kolb, Martin 1 Krapivsky, Paul L. 1 Krasko, Evgeniĭ S. 1 Labutin, I. N. 1 Larcher, Isabella 1 Li, Jing 1 Liskovets, Valery A. 1 Manuel, Cassius 1 Marynych, Alexander V. 1 Marzouk, Cyril 1 Miner, Sam 1 Mishna, Marni 1 Möhle, Martin 1 Moore, Christian ...and 38 more Authors
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Cited in 50 Serials

 9 Combinatorics, Probability and Computing 7 The Annals of Probability 5 Journal of Combinatorial Theory. Series A 5 Algorithmica 5 Random Structures & Algorithms 5 The Annals of Applied Probability 4 Journal of Number Theory 4 Theoretical Computer Science 4 Advances in Applied Mathematics 3 Discrete Mathematics 3 Journal of Mathematical Biology 3 The Electronic Journal of Combinatorics 2 Discrete Applied Mathematics 2 Journal of Applied Probability 2 Journal of Statistical Planning and Inference 2 European Journal of Combinatorics 2 Statistics & Probability Letters 2 Annals of Pure and Applied Logic 2 Stochastic Processes and their Applications 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Functional Programming 2 Séminaire Lotharingien de Combinatoire 2 The Ramanujan Journal 2 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes 1 Applied Mathematics and Computation 1 Journal of Combinatorial Theory. Series B 1 Journal of Computer and System Sciences 1 Journal of Graph Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematics and Computers in Simulation 1 Graphs and Combinatorics 1 Probability Theory and Related Fields 1 Journal of Theoretical Probability 1 SIAM Journal on Discrete Mathematics 1 Discrete Mathematics and Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Probability 1 Annals of Combinatorics 1 Probability in the Engineering and Informational Sciences 1 Methodology and Computing in Applied Probability 1 Central European Journal of Mathematics 1 ACM Journal of Experimental Algorithmics 1 International Journal of Number Theory 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Logical Methods in Computer Science 1 Probability Surveys
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Cited in 14 Fields

 72 Combinatorics (05-XX) 49 Probability theory and stochastic processes (60-XX) 23 Computer science (68-XX) 12 Number theory (11-XX) 10 Mathematical logic and foundations (03-XX) 9 Biology and other natural sciences (92-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 3 Operations research, mathematical programming (90-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)