## Yang, Xinshe

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 Author ID: yang.xinshe Published as: Yang, Xin-She; Yang, Xinshe; Yang, X. S.; Yang, Xin-she; Yang, X.-S. more...less
 Documents Indexed: 69 Publications since 1991, including 12 Books 11 Contributions as Editor Co-Authors: 44 Co-Authors with 32 Joint Publications 1,420 Co-Co-Authors
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### Co-Authors

 34 single-authored 4 Deb, Suash 4 Gandomi, Amir Hossein 4 He, Xingshi 3 Kozieł, Sławomir 3 Lewis, Roland W. 3 Talatahari, Siamak 2 Lees, Janet M. 2 McIntosh, Andy C. 2 Morley, Chris T. 1 Adamatzky, Andrew I. 1 Alavi, Amir Hossein 1 Arya, Karm Veer 1 Atlar, M. 1 Bansal, Jagdish Chand 1 Bekdaş, Gebrail 1 Book, David L. 1 Brindley, John 1 Cai, Yijun 1 Chang, Yuwen 1 Chen, Si 1 Clayton, B. R. 1 Cockburn, Bernardo 1 Deng, Yong 1 Domaradzki, J. Andrzej 1 Eĭdel’man, Samuïl Davydovych 1 Forbes, Alistair B. 1 Fowler, Andrew C. 1 Gao, Yifan 1 Gethin, David T. 1 Glover, Eric J. 1 Gremaud, Pierre-Alain 1 Jamil, Momin 1 Jeliazkov, Ivan 1 Johnson, Roger G. 1 Klüppel, Manfred 1 Kulik, Victor M. 1 Le Gal, A. 1 Leifsson, Leifur 1 Liu, Chang 1 Liu, Liqiang 1 Lu, Xiaohua 1 Lu, Zhaoxin 1 Mahadaven, Sankaran 1 Mendes Platt, Gustavo 1 Nakamatsu, Kazumi 1 Nigdeli, Sinan Melih 1 Pao, William K. S. 1 Patnaik, Srikanta 1 Semenov, Boris N. 1 Shamma, Shihab A. 1 Sharma, Harish Kumar 1 Shaw, C. Y. 1 Silva Neto, Antônio José 1 Teng, Baohua 1 Yan, Wei 1 Yang, Hai 1 Yi, Jiexin 1 Yun, Gun Jin 1 Zhang, Lina 1 Zhang, Song 1 Zhang, Xiaoge 1 Zhang, Yi
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### Serials

 4 Studies in Computational Intelligence 3 Basic Sciences Journal of Textile Universities 2 Computers & Mathematics with Applications 2 Chaos, Solitons and Fractals 2 Applied Mathematics and Computation 2 Communications in Numerical Methods in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Combustion Theory and Modelling 2 International Journal of Mathematical Modelling and Numerical Optimisation 2 Modeling and Optimization in Science and Technologies 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Biological Cybernetics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Heat and Mass Transfer 1 Shock Waves 1 Journal of Computational and Applied Mathematics 1 Systems & Control Letters 1 Bulletin of the Iranian Mathematical Society 1 Computers & Operations Research 1 Applied Mathematics Letters 1 Journal of Global Optimization 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Physics of Fluids 1 Engineering Analysis with Boundary Elements 1 Journal of Applied Mechanics and Technical Physics 1 Physica Scripta 1 Journal of Harbin Engineering University 1 Springer Proceedings in Mathematics & Statistics 1 SpringerBriefs in Optimization
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### Fields

 30 Operations research, mathematical programming (90-XX) 20 Computer science (68-XX) 14 General and overarching topics; collections (00-XX) 14 Fluid mechanics (76-XX) 11 Numerical analysis (65-XX) 11 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 6 Partial differential equations (35-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Geophysics (86-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

42 Publications have been cited 522 times in 401 Documents Cited by Year
A new metaheuristic bat-inspired algorithm. Zbl 1197.90348
Yang, Xin-She
2010
Firefly algorithms for multimodal optimization. Zbl 1260.90164
Yang, Xin-She
2009
A literature survey of benchmark functions for global optimisation problems. Zbl 1280.65053
Jamil, Momin; Yang, Xin-She
2013
Engineering optimisation by cuckoo search. Zbl 1279.90204
Yang, Xin-She; Deb, Suash
2010
Flower pollination algorithm for global optimization. Zbl 1374.68527
Yang, Xin-She
2012
Firefly algorithm with chaos. Zbl 1254.92089
Gandomi, A. H.; Yang, X.-S.; Talatahari, S.; Alavi, A. H.
2013
Nature-inspired optimization algorithms. Zbl 1291.90005
Yang, Xin-She
2014
Multiobjective cuckoo search for design optimization. Zbl 1348.90650
Yang, Xin-She; Deb, Suash
2013
Large eddy simulations of decaying rotating turbulence. Zbl 1187.76576
2004
Turbulent drag reduction using compliant surfaces. Zbl 0899.76022
Choi, K.-S.; Yang, X.; Clayton, B. R.; Glover, E. J.; Atlar, M.; Semenov, B. N.; Kulik, V. M.
1997
Chaos-enhanced accelerated particle swarm optimization. Zbl 1323.90082
Gandomi, Amir Hossein; Yun, Gun Jin; Yang, Xin-She; Talatahari, Siamak
2013
Fast and slow compaction in sedimentary basins. Zbl 0923.35124
Fowler, Andrew C.; Yang, Xin-she
1999
Analysis of cracked transversely isotropic and inhomogeneous solids by a special BIE formulation. Zbl 1259.74043
Dong, C. Y.; Yang, X.; Pan, E.
2011
A two-dimensional combined discrete and finite element scheme for simulating the flow and compaction of systems comprising irregular particulates. Zbl 1128.74043
Gethin, D. T.; Yang, X.-S.; Lewis, R. W.
2006
Eagle strategy using Lévy walk and firefly algorithms for stochastic optimization. Zbl 1197.90349
Yang, Xin-She; Deb, Suash
2010
Fractals in small-world networks with time-delay. Zbl 1019.37052
Yang, Xin-She
2002
Lévy flight artificial bee colony algorithm. Zbl 1345.93172
Sharma, Harish; Bansal, Jagdish Chand; Arya, K. V.; Yang, Xin-She
2016
Benchmark problems in structural optimization. Zbl 1218.90005
Gandomi, Amir Hossein; Yang, Xin-She
2011
Metaheuristic optimization: nature-inspired algorithms and applications. Zbl 1277.68252
Yang, Xin-She
2013
Stability and existence of periodic solutions of periodic cellular neural networks with time-vary delays. Zbl 1160.34063
Gui, Z.; Yang, X.-S.
2006
Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization. Zbl 1238.90109
Gandomi, Amir Hossein; Yang, Xin-She; Talatahari, Siamak; Deb, Suash
2012
Computational modelling of nonlinear calcium waves. Zbl 1163.76456
Yang, Xin-She
2006
Cuckoo search and firefly algorithm. Theory and applications. Zbl 1277.68001
2014
A bio-inspired algorithm for identification of critical components in the transportation networks. Zbl 1338.90072
Zhang, Xiaoge; Adamatzky, Andrew; Yang, Hai; Mahadaven, Sankaran; Yang, Xin-She; Wang, Qing; Deng, Yong
2014
A survey of various conjugate gradient algorithms for iterative solution of the largest/smallest eigenvalue and eigenvector of a symmetric matrix. Zbl 0760.65043
Yang, X.
1991
Mathematical modeling with multidisciplinary applications. Zbl 1264.00038
2013
Instability and reaction-diffusion transport of bacteria. Zbl 1077.92049
Lewis, Roland W.; Pao, William K. S.; Yang, Xin-She
2004
Computational optimization: an overview. Zbl 1218.90015
Yang, Xin-She; Koziel, Slawomir
2011
Optimization algorithms. Zbl 1218.90014
Yang, Xin-She
2011
Minimum mean square error estimation of connectivity in biological neural networks. Zbl 0735.92003
Yang, X.; Shamma, Shihab A.
1991
Bayesian inference in the social sciences. Zbl 1300.62006
2014
Sliding friction and contact mechanics of elastomers on rough surfaces. Zbl 1277.74044
Le Gal, A.; Yang, X.; Klüppel, M.
2006
A general analytical equation for phase diagrams of an $$N$$-layer ferroelectric thin film with two surface layers. Zbl 1188.82150
Lu, Z. X.; Teng, B. H.; Rong, Y. H.; Lu, X. H.; Yang, X.
2010
Mathematical modelling for earth sciences. Zbl 1226.86001
Yang, Xin-She
2008
Remarks on three types of asymptotic stability. Zbl 0974.93043
Yang, X.-S.
2001
Computational optimization, methods and algorithms. Zbl 1217.90006
2011
Oil supply between OPEC and non-OPEC based on game theory. Zbl 1317.91055
Chang, Yuwen; Yi, Jiexin; Yan, Wei; Yang, Xinshe; Zhang, Song; Gao, Yifan; Wang, Xi
2014
Metaheuristics and optimization in civil engineering. Zbl 1356.90010
2016
Mathematical foundations of nature-inspired algorithms. Zbl 1426.90004
Yang, Xin-She; He, Xing-Shi
2019
Modelling crack propagation in structures: Comparison of numerical methods. Zbl 1282.74083
Yang, Xin-She; Lees, Janet M.; Morley, Chris T.
2008
Introduction to computational mathematics. Zbl 1153.65003
Yang, Xin-She
2008
Applied engineering mathematics. Zbl 1167.00003
Yang, Xin-She
2007
Mathematical foundations of nature-inspired algorithms. Zbl 1426.90004
Yang, Xin-She; He, Xing-Shi
2019
Lévy flight artificial bee colony algorithm. Zbl 1345.93172
Sharma, Harish; Bansal, Jagdish Chand; Arya, K. V.; Yang, Xin-She
2016
Metaheuristics and optimization in civil engineering. Zbl 1356.90010
2016
Nature-inspired optimization algorithms. Zbl 1291.90005
Yang, Xin-She
2014
Cuckoo search and firefly algorithm. Theory and applications. Zbl 1277.68001
2014
A bio-inspired algorithm for identification of critical components in the transportation networks. Zbl 1338.90072
Zhang, Xiaoge; Adamatzky, Andrew; Yang, Hai; Mahadaven, Sankaran; Yang, Xin-She; Wang, Qing; Deng, Yong
2014
Bayesian inference in the social sciences. Zbl 1300.62006
2014
Oil supply between OPEC and non-OPEC based on game theory. Zbl 1317.91055
Chang, Yuwen; Yi, Jiexin; Yan, Wei; Yang, Xinshe; Zhang, Song; Gao, Yifan; Wang, Xi
2014
A literature survey of benchmark functions for global optimisation problems. Zbl 1280.65053
Jamil, Momin; Yang, Xin-She
2013
Firefly algorithm with chaos. Zbl 1254.92089
Gandomi, A. H.; Yang, X.-S.; Talatahari, S.; Alavi, A. H.
2013
Multiobjective cuckoo search for design optimization. Zbl 1348.90650
Yang, Xin-She; Deb, Suash
2013
Chaos-enhanced accelerated particle swarm optimization. Zbl 1323.90082
Gandomi, Amir Hossein; Yun, Gun Jin; Yang, Xin-She; Talatahari, Siamak
2013
Metaheuristic optimization: nature-inspired algorithms and applications. Zbl 1277.68252
Yang, Xin-She
2013
Mathematical modeling with multidisciplinary applications. Zbl 1264.00038
2013
Flower pollination algorithm for global optimization. Zbl 1374.68527
Yang, Xin-She
2012
Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization. Zbl 1238.90109
Gandomi, Amir Hossein; Yang, Xin-She; Talatahari, Siamak; Deb, Suash
2012
Analysis of cracked transversely isotropic and inhomogeneous solids by a special BIE formulation. Zbl 1259.74043
Dong, C. Y.; Yang, X.; Pan, E.
2011
Benchmark problems in structural optimization. Zbl 1218.90005
Gandomi, Amir Hossein; Yang, Xin-She
2011
Computational optimization: an overview. Zbl 1218.90015
Yang, Xin-She; Koziel, Slawomir
2011
Optimization algorithms. Zbl 1218.90014
Yang, Xin-She
2011
Computational optimization, methods and algorithms. Zbl 1217.90006
2011
A new metaheuristic bat-inspired algorithm. Zbl 1197.90348
Yang, Xin-She
2010
Engineering optimisation by cuckoo search. Zbl 1279.90204
Yang, Xin-She; Deb, Suash
2010
Eagle strategy using Lévy walk and firefly algorithms for stochastic optimization. Zbl 1197.90349
Yang, Xin-She; Deb, Suash
2010
A general analytical equation for phase diagrams of an $$N$$-layer ferroelectric thin film with two surface layers. Zbl 1188.82150
Lu, Z. X.; Teng, B. H.; Rong, Y. H.; Lu, X. H.; Yang, X.
2010
Firefly algorithms for multimodal optimization. Zbl 1260.90164
Yang, Xin-She
2009
Mathematical modelling for earth sciences. Zbl 1226.86001
Yang, Xin-She
2008
Modelling crack propagation in structures: Comparison of numerical methods. Zbl 1282.74083
Yang, Xin-She; Lees, Janet M.; Morley, Chris T.
2008
Introduction to computational mathematics. Zbl 1153.65003
Yang, Xin-She
2008
Applied engineering mathematics. Zbl 1167.00003
Yang, Xin-She
2007
A two-dimensional combined discrete and finite element scheme for simulating the flow and compaction of systems comprising irregular particulates. Zbl 1128.74043
Gethin, D. T.; Yang, X.-S.; Lewis, R. W.
2006
Stability and existence of periodic solutions of periodic cellular neural networks with time-vary delays. Zbl 1160.34063
Gui, Z.; Yang, X.-S.
2006
Computational modelling of nonlinear calcium waves. Zbl 1163.76456
Yang, Xin-She
2006
Sliding friction and contact mechanics of elastomers on rough surfaces. Zbl 1277.74044
Le Gal, A.; Yang, X.; Klüppel, M.
2006
Large eddy simulations of decaying rotating turbulence. Zbl 1187.76576
2004
Instability and reaction-diffusion transport of bacteria. Zbl 1077.92049
Lewis, Roland W.; Pao, William K. S.; Yang, Xin-She
2004
Fractals in small-world networks with time-delay. Zbl 1019.37052
Yang, Xin-She
2002
Remarks on three types of asymptotic stability. Zbl 0974.93043
Yang, X.-S.
2001
Fast and slow compaction in sedimentary basins. Zbl 0923.35124
Fowler, Andrew C.; Yang, Xin-she
1999
Turbulent drag reduction using compliant surfaces. Zbl 0899.76022
Choi, K.-S.; Yang, X.; Clayton, B. R.; Glover, E. J.; Atlar, M.; Semenov, B. N.; Kulik, V. M.
1997
A survey of various conjugate gradient algorithms for iterative solution of the largest/smallest eigenvalue and eigenvector of a symmetric matrix. Zbl 0760.65043
Yang, X.
1991
Minimum mean square error estimation of connectivity in biological neural networks. Zbl 0735.92003
Yang, X.; Shamma, Shihab A.
1991
all top 5

### Cited by 1,041 Authors

 7 Chen, Huiling 7 Yang, Xinshe 6 Gandomi, Amir Hossein 6 Tawhid, Mohamed Aly 5 Mohammad, Hassan 5 Zhou, Yongquan 4 Audet, Charles 4 Costa, M. Fernanda P. 4 Fernandes, Edite M. G. P. 4 Hassanien, Aboul Ella 4 Rocha, Ana Maria A. C. 4 Wang, Mingjing 4 Zhao, Xuehua 3 Cuevas, Erik 3 Deb, Suash 3 Francisco, Rogério B. 3 Goerigk, Marc 3 Huang, Hui 3 Hughes, Martin 3 Ibrahim, Abdelmonem M. 3 Kumam, Poom 3 Luo, Qifang 3 Ma, Yan 3 Malik, Maulana 3 Pareschi, Lorenzo 3 Totzeck, Claudia 3 Vega-Rodríguez, Miguel A. 3 Wang, Gaige 3 Yu, Shuhao 2 Abd Elaziz, Mohamed 2 Adamatzky, Andrew I. 2 Akhmedova, Shakhnaz A. 2 Alavi, Amir Hossein 2 Amaran, Satyajith 2 Avalos, Omar 2 Awwal, Aliyu Muhammed 2 Bala Abubakar, Auwal 2 Bansal, Shonak 2 Bemporad, Alberto 2 Bonilla-Petriciolet, Adrián 2 Bury, Scott J. 2 Cai, Zhennao 2 Castillo, Oscar 2 Chen, Wei 2 Congedo, Pietro Marco 2 Danmalam, Kamaluddeen Umar 2 Darwish, Ashraf A. 2 Das, Swagatam 2 Deep, Kusum 2 Dokka, Trivikram 2 Dong, Zuomin 2 Fadel Miguel, Letícia Fleck 2 Fateen, Seif-Eddeen K. 2 González-Álvarez, David L. 2 Guan, Zhihong 2 Guo, Lihong 2 Gupta, Neena 2 Hachimi, Hanaa 2 Hasan, Osman 2 Houssein, Essam H. 2 Huang, Li 2 Karimi, Meysam 2 Kuldeep, B. 2 Kumar, Deepak 2 Le Digabel, Sébastien 2 Lee, Heung-No 2 Li, Jun 2 Li, Shuai 2 Li, Yu 2 Liu, Jianjun 2 Liu, Jingsen 2 Mao, Demei 2 Mirjalili, SeyedAli 2 Mittal, Nitin 2 Moriarty, John 2 Navimipour, Nima Jafari 2 Nedić, Novak 2 Ong, Hong Choon 2 Perc, Matjaž 2 Pérez-Cisneros, Marco 2 Pi, Dechang 2 Qian, Weiyi 2 Quarteroni, Alfio M. 2 Ruffo, Paolo 2 Saad, Abdulbaset El Hadi 2 Sahinidis, Nikolaos V. 2 Salgotra, Rohit 2 Sayed, Gehad Ismail 2 Semenkin, Eugene S. 2 Sharda, Bikram 2 Sharma, Harish Kumar 2 Singh, Arun Kumar 2 Singh, Gurdeep 2 Singh, Urvinder 2 Stanimirović, Predrag S. 2 Stojanovic, Vladimir Marko 2 Tan, Chao 2 Tatsumi, Keiji 2 Tilahun, Surafel Luleseged 2 Tribes, Christophe ...and 941 more Authors
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### Cited in 127 Serials

 22 Mathematics and Computers in Simulation 21 Applied Mathematics and Computation 19 Applied Mathematical Modelling 19 Mathematical Problems in Engineering 16 Information Sciences 15 Algorithms 10 Journal of Global Optimization 8 Computers & Operations Research 8 Engineering Optimization 7 Computer Methods in Applied Mechanics and Engineering 7 Journal of Computational and Applied Mathematics 7 Annals of Operations Research 6 Journal of Optimization Theory and Applications 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Computing 5 Communications in Nonlinear Science and Numerical Simulation 5 Optimization and Engineering 5 Journal of Applied Mathematics 4 Computers & Mathematics with Applications 4 Journal of the Franklin Institute 4 Chaos, Solitons and Fractals 4 Opsearch 4 European Journal of Operational Research 4 Computational Optimization and Applications 4 Soft Computing 4 Sādhanā 4 Journal of Optimization 3 Artificial Intelligence 3 Automatica 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 SIAM Journal on Optimization 3 Nonlinear Dynamics 3 Mathematical Biosciences and Engineering 2 Acta Mechanica 2 Journal of Computational Physics 2 Physica A 2 Optimal Control Applications & Methods 2 Journal of Classification 2 Optimization 2 Machine Learning 2 Computational Statistics and Data Analysis 2 SIAM Journal on Scientific Computing 2 Computational and Applied Mathematics 2 Filomat 2 Complexity 2 Abstract and Applied Analysis 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Journal of Machine Learning Research (JMLR) 2 Journal of Intelligent and Fuzzy Systems 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Journal of Industrial and Management Optimization 2 Computational & Mathematical Methods in Medicine 2 Mathematical Geosciences 2 Advances in Operations Research 2 International Journal of Applied and Computational Mathematics 2 Journal of Siberian Federal University. Mathematics & Physics 2 SN Operations Research Forum 1 International Journal of Modern Physics B 1 International Journal of General Systems 1 International Journal of Systems Science 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Kybernetika 1 Operations Research 1 Circuits, Systems, and Signal Processing 1 Applied Numerical Mathematics 1 Computational Mechanics 1 Asia-Pacific Journal of Operational Research 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Multidimensional Systems and Signal Processing 1 Neural Computation 1 Automation and Remote Control 1 SIAM Journal on Mathematical Analysis 1 Archives of Control Sciences 1 Journal of Computer and Systems Sciences International 1 Applied Mathematics. Series B (English Edition) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Computational Neuroscience 1 European Journal of Control 1 Journal of Combinatorial Optimization 1 Chaos 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Discrete Dynamics in Nature and Society 1 Mathematical & Computational Applications 1 European Journal of Mechanics. A. Solids 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Geosciences 1 CEJOR. Central European Journal of Operations Research 1 Lobachevskii Journal of Mathematics 1 RAIRO. Operations Research 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 International Journal of Modern Physics C 1 Nonlinear Functional Analysis and Applications 1 Journal of Systems Science and Complexity 1 Natural Computing 1 4OR 1 Thai Journal of Mathematics ...and 27 more Serials
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### Cited in 31 Fields

 286 Operations research, mathematical programming (90-XX) 84 Computer science (68-XX) 70 Numerical analysis (65-XX) 53 Systems theory; control (93-XX) 24 Statistics (62-XX) 22 Biology and other natural sciences (92-XX) 15 Mechanics of deformable solids (74-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Fluid mechanics (76-XX) 12 Ordinary differential equations (34-XX) 11 Information and communication theory, circuits (94-XX) 10 Partial differential equations (35-XX) 8 Probability theory and stochastic processes (60-XX) 6 Geophysics (86-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)