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Annals of Mathematics and Physics

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    Executive Editors

    Shuanhong Wang
    Deputy Director
    School of Mathematics
    Southeast University
    China
    shuanhwang@seu.edu.cn
    AMP

    PERSONAL INFORMATION

    _ Born: April 11th, 1963  in  Shanxi, China

    _ Nationality: China

    _ Gender: Male

    _ Language: Chinese, English

    --EDUCATION

    _ September, 1997 - August, 2000: Ph.D at Mathematical Institute, Fudan University, Shanghai China

    _ September, 1991 - August, 1994: MA.Sc. at Mathematical Institute, Fudan University, Shanghai China

    _ September, 1982 - August, 1986: B.A. at School of Mathematics, Shanxi Normal  University, China

    --EMPLOYMENT

    _ September, 2003 - present: Professor at Shing-Tung Yau Center, School of Mathematics, Southeast University, China

    _ July, 2002 - August, 2003: Postdoctoral Fellow at School of Physics and Mathematics, Jeonbuk National University, South Korea

    _ March, 2004 - April, 2005: Postdoctoral Fellow at  Department of Mathematics, University of Leuven, Celestijnenlaan 200B, Belgium

    _ July, 1986 – Sept.1994 : Teaching at Hexi University, Gansu; Henan Normal University, Henan.

    --RESEARCH ACTIVITY

    1.Jun. 6 2010– July 7 2010: Visiting scholar at Department of Mathematics， Indiana University, Bloomington, USA. Advisor: Prof. V.D.Turaev.

    2. Aug. 2009- Sept. 2009, Visiting scholar at Facultad de Matematica, Astronomıay Fısica, Universidad Nacional de Cordoba. CIEM – CONICET. Medina Allende s/n (5000) Ciudad Universitaria, Cordoba, Argentina,

    Advisor: Prof. N. Andruskiewitsch

    3. Feb. 2009- May 2009:  Postdoctoral Fellow at  Department of Mathematics, University of Leuven, Celestijnenlaan 200B, Belgium A. Advisor: Prof. A.Van Daele

    4. Jun. 2008- Aug. 2008, Visiting scholar  at Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

    5. Feb. 2 2008–Feb.4 2008: Visiting scholar at Department of Mathematics， Indiana University, Bloomington, USA. Advisor: Prof. V.D.Turaev.

    6. 2007/1-2007/2, Visiting scholar at Department of Mathematics，Victoria University of Wellington, New Zealand. Advisor: Prof. Y. H. Zhang.

    7. Jun. 2006- Sept. 2006: Postdoctoral Fellow at  Department of Mathematics, University of Leuven, Celestijnenlaan 200B, Belgium A. Advisor: Prof. A.Van Daele

    8. Jun. 2002 – May 2002, Postdoctoral Fellow at  Faculty of Engineering Sciences, Vrije Universiteit Brussel, VUB, B-1050, Brussels, Belgium,

    Advisor: Prof. S. Caenepeel  

    9. Sept.1996—Jun.1997,  Visiting scholar at Mathematical Institute, Fudan University, Shanghai China

    -- TEACHING EXPERIENCE

    _ Graduate Courses:  Hopf algebras; Matrix theory; Basic algebras;

       Rings and corings; Algebraic topology;

    _ Undergraduate Courses: Modern algebras; Advanced linear algebras; Advanced Mathematics; Analytic Geometry; Differential Geometry

    URL:     https://math.seu.edu.cn/wsh/list.htm

    Grants:  (parts of them)

    1. General program of National Natural Science Foundation of China (No.11871144)，Bigalois theory and Yetter-Drinfeld categories for  multiplier cogroupoids and algebraic quantum groupoids, 2019/01-2022/12.
    2. General program of National Natural Science Foundation of China (No.11571173)，Galois theory and homological theory for weak multiplier (Hom-)Hopf algebras. 2016/01-2019/12.
    3. General program of National Natural Science Foundation of China(No.11371088), Pontryagin duality,Galois objects and tensor categories for bonological quantum hypergroupoids.2014/01-2017/12.
    4. General program of National Natural Science Foundation of Jiangsu Province (No. BK2012736)，Multiplier Hopf algebras and knot quantum invariants, 2012/07-2015/06.
    5. General program of National Natural Science Foundation of China(No.10871042)， Galois group corings, K0-theory and knot quantum invariants，2009/01-2011/12.
    6. The Distingguished youth fund of Henan Province，Braided tensor categories and Yang-Baxter equations, 2001-2003.
    7. Youth Fund Project of National Natural Science Foundation of China (No.19601015)，Hopf algebra theory and Yang-Baxter equations, 1997/01-1999/12.

    List of Publications:  (parts of them)
    1.    Gu Yue; Wang, Shuanhong; Ma, Tianshui, Rota–Baxter (Co)algebra Equation Systems and Rota–Baxter Hopf Algebras, Mathematics 2022, Volume 10, Issue 3, 426
    2.    Ma, T.S.; Li, J.; Chen, L. Y.; Wang, Shuanhong, Rota-Baxter operators on Turaev's Hopf group (co)algebras (I): Basic definitions and related algebraic structures. J. Geom. Phys.  (2022) Volume 175, 104469
    3.     Liu, Linlin; Wang, Shuanhong, Symmetries and the u  -condition in weak monoidal Hom-Yetter-Drinfeld categories. J. Algebra Appl. 20 (2021), no. 10, Paper No. 2150194, 24 pp.
    4.     Zhang, Tao; Gu, Yue; Wang, Shuanhong, Hopf quasimodules and Yetter-Drinfeld modules over Hopf quasigroups. Algebra Colloq. 28 (2021), no. 2, 213–242.
    5.    Gu, Yue; Wang, Shuanhong, Double centralizer properties related to (co)triangular Hopf coquasigroups. Comm. Algebra 49 (2021), no. 2, 662–686.
    6.    Liu, Linlin; Wang, Shuanhong, Rota-Baxter H-operators and pre-Lie H-pseudoalgebras over a cocommutative Hopf algebra. Linear Multilinear Algebra 68 (2020), no. 11, 2170–2184
    7.    Daele, A.V.; Wang, Shuanhong,  Weak Multiplier Hopf Algebras II: Source and Target Algebras. Symmetry 2020, 12, 1975.
    8.     Yan, Dongdong; Wang, Shuanhong, Drinfel'd construction for Hom-Hopf T-coalgebras. Internat. J. Math. 31 (2020), no. 8, 2050058, 31 pp.
    9.    Liu, Guohua; Wang, Wei; Wang, Shuanhong; Zhang, Xiaohui A braided T  -category over weak monoidal Hom-Hopf algebras. J. Algebra Appl. 19 (2020), no. 8, 2050159, 28 pp.
    10.     Shi, Guodong; Wang, Shuanhong, Schur–Weyl quasi-duality and (co)triangular Hopf quasigroups. J. Math. Phys. 61 (2020), no. 5, 051701, 23 pp.
    11.     Gu, Yue; Wang, Shuanhong, Hopf quasicomodules and Yetter-Drinfel'd quasicomodules. Comm. Algebra 48 (2020), no. 1, 351–379.
    12.     Zhang, Tao; Wang, Shuanhong; Wang, Dingguo A new approach to braided   monoidal categories. J. Math. Phys. 60 (2019), no. 1, 013510, 22 pp.
    13. Wang, Wei; Zhou, Nan; Wang, Shuanhong, Semidirect products of weak multiplier Hopf algebras: smash products and smash coproducts. Comm. Algebra 46 (2018), no. 8, 3241–3261
    14. Lu, Daowei; Wang, Shuanhong, Yetter-Drinfeld-Long bimodules are modules. Czechoslovak Math. J. 67(142) (2017), no. 2, 379–387.
    15. Zhao, Xiaofan; Liu, Guohua; Wang, Shuanhong, Pseudotriangular weak Hopf algebras. J. Algebra Appl. 16 (2017), no. 7, 1750137, 18 pp.
    16. Zhou, Nan; Wang, Shuanhong, A duality theorem for weak multiplier Hopf algebra actions. Internat. J. Math. 28 (2017), no. 5, 1750032, 34 pp.
    17. You, Miman; Wang, Shuanhong, A generalized double crossproduct for monoidal Hom-Hopf algebras and the Drinfeld double. Colloq. Math. 146 (2017), no. 2, 213–238.
    18. You, Miman; Wang, Shuanhong Constructing braided Hopf algebras in monoidal Hom-category. Taiwanese J. Math. 20 (2016), no. 6, 1203–1230.
    19. Guo, Shuangjian; Wang, Shuanhong, Quasitriangular Turaev group coalgebras and Radford's byproduct, Algebra Colloq. 23 (2016), no. 3, 427–442.
    20. Lu, Daowei; Wang, Shuanhong, The Drinfel'd double versus the Heisenberg double for Hom-Hopf algebras. J. Algebra Appl. 15 (2016), no. 4, 1650059, 24 pp.
    21. You, Miman; Zhou, Nan; Wang, Shuanhong, Hom-Hopf group coalgebras and braided T  -categories obtained from Hom-Hopf algebras. J. Math. Phys. 56 (2015), no. 11, 112302, 16 pp.
    22. Van Daele, Alfons; Wang, Shuanhong, Weak multiplier Hopf algebras I. The main theory. J. Reine Angew. Math. 705 (2015), 155–209.
    23. Zhang, Xiaohui; Zhao, Xiaofan; Wang, Shuanhong, Sovereign and ribbon weak Hopf algebras. Kodai Math. J. 38 (2015), no. 2, 451–469.
    24. Zhao, Xiaofan; Liu, Guohua; Wang, Shuanhong, Symmetric pairs in Yetter-Drinfeld categories over weak Hopf algebras. Comm. Algebra 43 (2015), no. 10, 4502–4514.
    25. Zhang, Xiaohui; Wang, Shuanhong, Weak Hom-Hopf algebras and their (co)representations. J. Geom. Phys. 94 (2015), 50–71.
    26. Guo, Shuang-jian; Wang, Shuan-hong, Morita contexts and partial group Galois extensions for Hopf group coalgebras. Comm. Algebra 43 (2015), no. 3, 1025–1049.
    27. Zhang, Xiaohui; Wang, Shuanhong, New Turaev braided group categories and weak (co)quasi-Turaev group coalgebras. J. Math. Phys. 55 (2014), no. 11, 111702, 27 pp.
    28. You, Miman; Wang, Shuanhong, Constructing new braided T-categories over monoidal Hom-Hopf algebras. J. Math. Phys. 55 (2014), no. 11, 111701, 16 pp.
    29. Zhu, Haixing; Wang, Shuanhong; Chen, Juzhen Bicovariant differential calculi on a weak Hopf algebra. Taiwanese J. Math. 18 (2014), no. 6, 1679–1712.
    30. Chen, Quanguo; Wang, Shuanhong, Radford's formula for generalized weak biFrobenius algebras. Rocky Mountain J. Math. 44 (2014), no. 2, 419–433.
    31. Wang, Shengxiang; Wang, Shuanhong, Hom-Lie algebras in Yetter-Drinfeld categories. Comm. Algebra 42 (2014), no. 10, 4526–4547.
    32. Guo, Shuang Jian; Wang, Shuan Hong, Crossed products of weak Hopf group coalgebras. (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 34 (2014), no. 2, 327–337.
    33. Wang, Shengxiang; Wang, Shuanhong, Drinfeld double for braided infinitesimal Hopf algebras. Comm. Algebra 42 (2014), no. 5, 2195–2212.
    34.  Fang, Xiaoli; Wang, Shuanhong, New Turaev braided group categories and group corings based on quasi-Hopf group coalgebras. Comm. Algebra 41 (2013), no. 11, 4195–4226.
    35. Guo, Shuang-Jian; Wang, Shuan-Hong, Crossed products of Hopf group-coalgebras. Kodai Math. J. 36 (2013), no. 2, 325–342.
    36. Dong, Lihong; Guo, Shuangjian; Wang, Shuanhong, A class of quasitriangular Hopf group coalgebras and Drinfel'd double. Algebra Colloq. 20 (2013), no. 3, 527–540.
    37. Liu, Ling; Shen, Bing-liang; Wang, Shuan-hong, On weak crossed products of weak Hopf algebras. Algebr. Represent. Theory 16 (2013), no. 3, 633–657.
    38.  Chen, Quanguo; Wang, Shuanhong, Connes' pairings for a new K  -theory over weak Hopf algebras. Comm. Algebra 41 (2013), no. 4, 1316–1349.
    39.  Dong, Lihong; Wang, Shuanhong, Constructing new quasitriangular Turaev group coalgebras. Comm. Algebra 41 (2013), no. 4, 1217–1246.
    40. Delvaux, L.; Van Daele, A.; Wang, S. H. Bicrossproducts of algebraic quantum groups. Internat. J. Math. 24 (2013), no. 1, 1250131, 48 pp.
    41. Wang, Shuanhong, New Turaev braided group categories and group Schur-Weyl duality. Appl. Categ. Structures 21 (2013), no. 2, 141–166.
    42. Wang, Shuanhong, More examples of algebraic quantum hypergroups. Algebr. Represent. Theory 16 (2013), no. 1, 205–228.
    43. Dong, Jingcheng; Wang, Shuanhong, On semisimple Hopf algebras of dimension 2q 3   . J. Algebra 375 (2013), 97–108.
    44. Quan-guo, Chen; Shuan-hong, Wang Quantum integrals and the affineness criterion for quantum Yetter-Drinfeld π  -modules. Filomat 26 (2012), no. 1, 101–118.
    45.  Van Daele, Alfons; Wang, Shuanhong ,Weak multiplier Hopf algebras.
    Preliminaries, motivationand basic examples, in Operator algebras and
    quantum groups, Vol. 98(5) (Banach Center Publication, Warsaw, 2012),
    367-415.
    46. Wang, Shuan Hong, Kaplansky's ten conjectures. (Chinese) Adv. Math. (China) 41 (2012), no. 3, 257–265.
    47.  Bai, Li; Wang, Shuanhong, Twisted Drinfeld doubles and representations of a Hopf algebra. J. Algebra Appl. 11 (2012), no. 6, 1250118, 27 pp.
    48.  Guo, Shuang-Jian; Wang, Shuan-Hong, Separable functors for the category of partial entwined modules. J. Algebra Appl. 11 (2012), no. 5, 1250101, 15 pp.
    49. Delvaux, L.; Van Daele, A.; Wang, Shuanhong, A note on the antipode for algebraic quantum groups. Canad. Math. Bull. 55 (2012), no. 2, 260–270.
    50. Liu, Guohua; Wang, Shuanhong, Graded Morita theory for group coring and graded Morita-Takeuchi theory. Taiwanese J. Math. 16 (2012), no. 3, 1041–1056.
    51. Yang, Tao; Wang, Shuanhong Constructing new braided T  -categories over regular multiplier Hopf algebras. Comm. Algebra 39 (2011), no. 9, 3073–3089.
    52. Chen, Quan-guo; Wang, Shuan-hong Separable functors for the category of Doi-Hopf π  -modules. Abh. Math. Semin. Univ. Hambg. 81 (2011), no. 2, 261–272.
    53. Yang, Tao; Wang, Shuan-hong A lot of quasitriangular group-cograded multiplier Hopf algebras. Algebr. Represent. Theory 14 (2011), no. 5, 959–976.
    54. Delvaux, L.; Van Daele, A.; Wang, S. H. Bicrossproducts of multiplier Hopf algebras. J. Algebra 343 (2011), 11–36.
    55. Wang, Shuanhong Nakayama automorphisms of generalized co-Frobenius algebras. Comm. Algebra 39 (2011), no. 7, 2449–2462.
    56. Quan-guo, Chen; Shuan-hong, Wang Integrals and a Maschke-type theorem for weak Hopf π  -coalgebras. Int. Electron. J. Algebra 10 (2011), 85–112.
    57. Wang, Shuanhong Algebraic quantum hypergroups of discrete type. Math. Scand. 108 (2011), no. 2, 198–222.
    58. Ma, Tianshui; Li, Haiying; Wang, Shuanhong Quasitriangularity of Brezeziński's crossed coproducts. J. Algebra Appl. 10 (2011), no. 2, 241–255.
    59.Ma, Tianshui; Li, Haiying; Wang, Shuanhong A class of new braided Hopf algebras. Front. Math. China 6 (2011), no. 2, 293–308.
    60. Guo, Qiao Ling; Wang, Shuan Hong Morita contexts and Galois theory for weak Hopf comodulelike algebras. Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 4, 757–772.
    61. Wang, Shuanhong Hopf-type algebras. Comm. Algebra 38 (2010), no. 11, 4255–4276.
    62. Ma, Tianshui; Wang, Shuanhong A method to construct oriented quantum algebras. Comm. Algebra 38 (2010), no. 11, 4234–4254.
    63. Liu, Ling; Wang, Shuan Hong Making the category of group entwined modules into a braided monoidal category. (Chinese) Acta Math. Sci. Ser. A Chin. Ed. 30 (2010), no. 6, 1612–1620.
    64. Zhou, Xuan; Wang, Shuanhong The duality theorem for weak Hopf algebra (co) actions. Comm. Algebra 38 (2010), no. 12, 4613–4632.
    65.Ma, Tianshui; Wang, Shuanhong; Xu, Shaoxian A method of constructing braided Hopf algebras. Filomat 24 (2010), no. 2, 53–66.
    66. Wang, Shuan-hong; Zhu, Hai-xing On braided Lie structures of algebras in the categories of weak Hopf bimodules. Algebra Colloq. 17 (2010), no. 4, 685–698.
    67. Ma, Tianshui; Wang, Shuanhong Bitwistor and quasitriangular structures of bialgebras. Comm. Algebra 38 (2010), no. 9, 3206–3242.
    68. Liu, Ling; Wang, Shuanhong Constructing new braided T  -categories over weak Hopf algebras. Appl. Categ. Structures 18 (2010), no. 4, 431–459.
    69. Wang, Shuanhong New Turaev braided group categories over entwinning structures. Comm. Algebra 38 (2010), no. 3, 1019–1049.
    70. Wang, Shuan-hong; Zhu, Hai-xing On corepresentations of multiplier Hopf algebras. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 6, 1087–1114.
    71. Ma, Tianshui; Wang, Shuanhong General double quantum groups. Comm. Algebra 38 (2010), no. 2, 645–672.
    72. Zhu, Haixing; Wang, Shuanhong A generalized Drinfeld quantum double construction based on weak Hopf algebras. Comm. Algebra 38 (2010), no. 1, 199–229.
    73. Van Daele, A.; Wang, Shuanhong Pontryagin duality for bornological quantum hypergroups. Manuscripta Math. 131 (2010), no. 1-2, 247–263.
    74.  Wang, S. H.; Van Daele, A.; Zhang, Y. H. Constructing quasitriangular multiplier Hopf algebras by twisted tensor coproducts. Comm. Algebra 37 (2009), no. 9, 3171–3199.
    75. Wang, Shuanhong Turaev group coalgebras and twisted Drinfeld double. Indiana Univ. Math. J. 58 (2009), no. 3, 1395–1417.
    76. Shen, Bing-liang; Wang, Shuan-hong Weak Hopf algebra duality in weak Yetter-Drinfeld categories and applications. Int. Electron. J. Algebra 6 (2009), 74–94.
    77. Wang, Shuan-hong; Ma, Tian-shui Singular solutions to the quantum Yang-Baxter equations. Comm. Algebra 37 (2009), no. 1, 296–316.
    78. Guo, Qiaoling; Wang, Shuanhong; Zhang, Yan Inner deformations of entwined modules and their simpleness. Arab. J. Sci. Eng. Sect. C Theme Issues 33 (2008), no. 2, 205–223.
    79. Chen, Ju-zhen; Wang, Shuan-hong Differential calculi on quantum groupoids. Comm. Algebra 36 (2008), no. 10, 3792–3819.
    80. Liu, Ling; Wang, Shuan-hong The generalized C. M. Z.-theorem and a Drinfel′d double construction for WT-coalgebras and graded quantum groupoids. Comm. Algebra 36 (2008), no. 9, 3393–3417.
    81. Shen, Bing-liang; Wang, Shuan-hong Blattner-Cohen-Montgomery's duality theorem for (weak) group smash products. Comm. Algebra 36 (2008), no. 6, 2387–2409.
    82.Van Daele, A.; Wang, Shuanhong New braided crossed categories and Drinfel′d quantum double for weak Hopf group coalgebras. Comm. Algebra 36 (2008), no. 6, 2341–2386.
    83. Shen, Bing-liang; Wang, Shuan-hong On group crossed products. Int. Electron. J. Algebra 4 (2008), 177–188.
    84. Guo, Qiao-ling; Wang, Shuan-hong Lax group corings. Int. Electron. J. Algebra 4 (2008), 83–103.
    85. Chen, Ju-zhen; Zhang, Yan; Wang, Shuan-hong Twisting theory for weak Hopf algebras. Appl. Math. J. Chinese Univ. Ser. B 23 (2008), no. 1, 91–100.
    86. Caenepeel, S.; Janssen, K.; Wang, S. H. Group corings. Appl. Categ. Structures 16 (2008), no. 1-2, 65–96.
    87. Van Daele, Alfons; Wang, Shuanhong A class of multiplier Hopf algebras. Algebr. Represent. Theory 10 (2007), no. 5, 441–461.
    88. Wang, Shuan-Hong Coquasitriangular Hopf group algebras and Drinfel′d co-doubles. Comm. Algebra 35 (2007), no. 1, 77–101.
    89. Van Daele, A.; Wang, Shuanhong On the twisting and Drinfel′d double for multiplier Hopf algebras. Comm. Algebra 34 (2006), no. 8, 2811–2842.
    90. Van Daele, A.; Wang, Shuanhong Larson-Sweedler theorem and some properties of discrete type in (G  -cograded) multiplier Hopf algebras. Comm. Algebra 34 (2006), no. 6, 2235–2249.
    91. Wang, Shuan-hong Morita contexts, π  -Galois extensions for Hopf π  -coalgebras. Comm. Algebra 34 (2006), no. 2, 521–546.
    92. Van Daele, Alfons; Wang, Shuanhong The Larson-Sweedler theorem for multiplier Hopf algebras. J. Algebra 296 (2006), no. 1, 75–95.
    93. Wang, Shuan-hong An analogue of Kegel's theorem for quasi-associative algebras. Comm. Algebra 33 (2005), no. 8, 2607–2623.
    94.Delvaux, L.; van Daele, A.; Wang, S. H. Quasitriangular (G  -cograded) multiplier Hopf algebras. J. Algebra 289 (2005), no. 2, 484–514.
    95. Nam, Ki-Bong; Wang, S. H.; Kim, Y. G. Explicit universal proof of P≠NP . Advances in algebra towards millennium problems, 1–58, SAS Int. Publ., Delhi, 2005.
    96. Kim, Y. G.; Wang, Shuan-Hong; Koh, SeokHyun; Kim, Cheol A remark on Lie algebra and its module theory. J. Appl. Algebra Discrete Struct. 3 (2005), no. 1, 55–64. 17B10
    97. Caenepeel, Stefaan; Vercruysse, Joost; Wang, Shuanhong Rationality properties for Morita contexts associated to corings. Hopf algebras in noncommutative geometry and physics, 113–136, Lecture Notes in Pure and Appl. Math., 239, Dekker, New York, 2005.
    98. Zhao, Wenzheng; Jiao, Zhengming; Wang, Shuanhong On the quasitriangular structure of smash products Hopf algebra. Southeast Asian Bull. Math. 28 (2004), no. 5, 955–970.
    99. Wang, Shuan-hong A Maschke type theorem for Hopf π-comodules. Tsukuba J. Math. 28 (2004), no. 2, 377–388.
    100. Wang, Shuan-hong; Kim, Y. G. Quasitriangular structures for a class of Hopf algebras of dimension p6 . Comm. Algebra 32 (2004), no. 4, 1401–1423.
    101. Wang, Shuan-hong Cibils-Rosso's theorem for quantum groupoids. Comm. Algebra 32 (2004), no. 9, 3703–3723.
    102. Wang, Shuan-hong Group entwining structures and group coalgebra Galois extensions. Comm. Algebra 32 (2004), no. 9, 3437–3457.
    103. Wang, Shuan-hong Group twisted smash products and Doi-Hopf modules for T-coalgebras. Comm. Algebra 32 (2004), no. 9, 3417–3436.
    104. Caenepeel, S.; Vercruysse, J.; Wang, Shuanhong Morita theory for corings and cleft entwining structures. J. Algebra 276 (2004), no. 1, 210–235.
    105. Nam, Ki-Bong; Wang, S. H.; Kim, Y. G. Linear algebra, Lie algebra and their applications to P versus NP . J. Appl. Algebra Discrete Struct. 2 (2004), no. 1, 1–26.
    106. Wang, Shuan-hong A generalized double crossproduct and Drinfeld double. Southeast Asian Bull. Math. 26 (2002), no. 1, 159–180.
    107. Wang, Shuan-hong Braided monoidal categories associated to Yetter-Drinfeld categories. Comm. Algebra 30 (2002), no. 11, 5111–5124.
    108. Wang, Shuan-hong A construction of braided Hopf algebras. Tsukuba J. Math. 26 (2002), no. 2, 269–289.
    109. Wang, Shuanhong; Chen, Huixiang Hopf-Galois coextensions and braided Lie coalgebras. Progr. Natur. Sci. (English Ed.) 12 (2002), no. 4, 264–270.
    110.  Chen, Hui-Xiang; Wang, Shuan-Hong Hopf modules, Miyashita-Ulbrich coactions, and monoidal center constructions. Comm. Algebra 30 (2002), no. 6, 2853–2881.
    111. Wang, Shuanhong; Kan, Haibin; Chen, Huixiang Generalized H  -Lie structure of associative algebras in a category. Algebra Colloq. 9 (2002), no. 2, 143–154.
    112. Wang, Shuan-hong On the generalized H  -Lie structure of associative algebras in Yetter-Drinfeld categories. Comm. Algebra 30 (2002), no. 1, 307–325.
    113. Wang, Shuan-hong Doi-Koppinen Hopf bimodules are modules. Comm. Algebra 29 (2001), no. 10, 4671–4682.
    114. Wang, Shuan-hong On the braided structures of bicrossproduct Hopf algebras. Tsukuba J. Math. 25 (2001), no. 1, 103–120.
    115. Wang, Shuanhong; Wang, Dingguo; Yao, Zhongping Hopf algebra structure over crossed coproducts. Southeast Asian Bull. Math. 24 (2000), no. 1, 105–113.
    116. Wang, Shuan Hong Solvable ideal properties of ρ  -Lie algebras in Yetter-Drinfel′d categories. (Chinese) Chinese Ann. Math. Ser. A 21 (2000), no. 5, 547–552.
    117.  Wang, Shuanhong Central invariants of ρ-Lie algebras in Yetter-Drinfeld categories. Sci. China Ser. A 43 (2000), no. 8, 803–809.
    118.  Zhao, Wen-zheng; Wang, Shuan-hong; Jiao, Zheng-ming On the quasitriangular structures of bicrossproduct Hopf algebras. Comm. Algebra 28 (2000), no. 10, 4839–4853.
    119.  Jiao, Zhengming; Wang, Shuanhong A class of twisted braided groups. Kodai Math. J. 23 (2000), no. 1, 88–99.
    120. Wang, Shuanhong; Wang, Dingguo Hopf algebra structure H σ-R   with two sided invertible 2-cocycle. Comment. Math. Univ. Carolin. 40 (1999), no. 4, 635–650.
    121. Wang, Shuanhong Quasitriangularity of the twisted smash coproduct Hopf algebras. Progr. Natur. Sci. (English Ed.) 9 (1999), no. 12, 894–902.
    122. Wang, Shuan Hong Braided monoidal categories of twisted smash products and the twisted smash products over braided monoidal categories. (Chinese) Acta Math. Sinica (Chin. Ser.) 42 (1999), no. 3, 385–394.
    123.  Kan, Haibin; Wang, Shuanhong A categorical interpretation of Yetter-Drinfel′d modules. Chinese Sci. Bull. 44 (1999), no. 9, 771–778.
    124.  Wang, Shuan-hong On braided Hopf algebra structures over the twisted smash products. Comm. Algebra 27 (1999), no. 11, 5561–5573.
    125. Wang, Shuan-hong; Li, Jin-qi On twisted smash products for bimodule algebras and the Drinfeld double. Comm. Algebra 26 (1998), no. 8, 2435–2444.
    126. Wang, Shuanhong; Jiao, Zhengming; Zhao, Wenzheng Hopf algebra structures on crossed products. Comm. Algebra 26 (1998), no. 4, 1293–1303.
    127. Zhao, Wenzheng; Wang, Shuanhong; Jiao, Zhengming The Hopf algebra structure on a double crossproduct. Comm. Algebra 26 (1998), no. 2, 467–476.
    128. Wang, Shuan Hong; Li, Jin Qi H  -comodule algebras, total integrals and separable extensions. (Chinese) Chinese Ann. Math. Ser. A 17 (1996), no. 5, 589–594.
    129. Wang, Shuanhong Lie bialgebra structure of multivariate linearly recursive sequences. Chinese Sci. Bull. 41 (1996), no. 4, 271–275.
    130. Wang, Shuan Hong A duality theorem of crossed coproduct for Hopf algebras. Sci. China Ser. A 38 (1995), no. 1, 1–7.

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    Loc Nguyen
    Professor
    Department of Mathematics
    Independent scholar
    Vietnam
    ng_phloc@yahoo.com
    AMP

    Loc Nguyen is an independent scholar from 2017. He holds Master degree in Computer Science from University of Science, Vietnam in 2005. He holds PhD degree in Computer Science and Education at Ho Chi Minh University of Science in 2009. His PhD dissertation was certificated by World Engineering Education Forum (WEEF) and awarded by Standard Scientific Research and Essays as excellent PhD dissertation in 2014. He holds Postdoctoral degree in Computer Science, certified by Institute for Systems and Technologies of Information, Control and Communication (INSTICC) in 2015. Now he is interested in poetry, computer science, statistics, mathematics, education, and medicine. He serves as reviewer and editor in a wide range of international journals and conferences from 2014. He is volunteer of Statistics Without Borders from 2015. He was granted as Mathematician by London Mathematical Society for Postdoctoral research in Mathematics from 2016. He is awarded as Professor by Scientific Advances and Science Publishing Group from 2016. He was awarded Doctorate of Statistical Medicine by Ho Chi Minh City Society for Reproductive Medicine (HOSREM) from 2016. He has published 71 papers and preprints in journals, books and conference proceedings. He is author of 2 scientific books and 1 postdoctoral dissertation. He is author and creator of 6 scientific and technological products.

    Research Interest: optimization, applied mathematics

    URL: http://www.locnguyen.net

    Grants: Research Incentive Fund (RIF) Grant Activity Code: R19093– Zayed University, UAE.

    List of Publications:
    •    Amer, A. A., Abdalla, H. I., & Nguyen, L. (2021, February 10). Enhancing recommendation systems performance using highly-effective similarity measures. (J. Lu, E. A. Edmonds, & H. Fujita, Eds.) Knowledge-Based Systems, 217. doi:10.1016/j.knosys.2021.106842
    •    Nguyen, L (2021, January 26). A general framework of particle swarm optimization. Preprints 2021, 2020100550 (doi: 10.20944/preprints202101.0528.v1).
    •    Nguyen, L (2020, November 1). Conditional Mixture Model for Modeling Attributed Dyadic Data. Preprints 2020, 2020100550 (doi: 10.20944/preprints202011.0266.v1).
    •    Nguyen, L (2020, November 1). Learning Dyadic Data and Predicting Unaccomplished Co-Occurrent Values by Mixture Model. Preprints 2020, 2020100550 (doi: 10.20944/preprints202011.0038.v1).
    •    Nguyen, L (2020, October 28). Conditional Mixture Model and Its Application for Regression Model. Preprints 2020, 2020100550 (doi: 10.20944/preprints202010.0550.v2).
    •    Shafiq, A., & Nguyen, L (2020, January). Marangoni convective flow of nanoliquid towards a riga surface. ResearchGate 2020 Preprint.
    •    Nguyen, L., & Amer, A. A. (2019, October 17). Advanced Cosine Measures for Collaborative Filtering. (ITS, Ed.) Adaptation and Personalization (ADP), 1(1), 21-41. doi:10.31058/j.adp.2019.11002
    •    Nguyen, L., & Shafiq, A. (2019, January 29). Semi-mixture Regression Model for Incomplete Data. (T. Schmutte, Ed.) Adaptation and Personalization (ADP), 1(1), 1-20. doi:10.31058/j.adp.2019.11001
    •    Nguyen, L., & Shafiq, A. (2018, December 31). Mixture Regression Model for Incomplete Data. (L. E. Istael, Ed.) Revista Sociedade Científica, 1(3), 1-25. doi:10.5281/zenodo.2528978
    •    Nguyen, L., & Ho, Thu-Hang T. (2018, December 17). Fetal Weight Estimation in Case of Missing Data. (T. Schmutte, Ed.) Experimental Medicine (EM), 1(2), 45-65. doi:10.31058/j.em.2018.12004
    •    Nguyen, L., & Ho, Thu-Hang T. (2018, August 1). Phoebe Framework and Experimental Results for Estimating Fetal Age and Weight. In T. F. Heston, & T. F. Heston (Ed.), eHealth - Making Health Care Smarter (pp. 99-123). Rijeka, Croatia: InTechOpen. doi:10.5772/intechopen.74883
    •    Nguyen, L. (2018, July 10). Proposal of Evaluating Patients' Satisfaction about Quality of Healthcare System by Non-parametric Quality Control. Open Science Framework (OSF) Preprints. doi:10.17605/OSF.IO/VUMHN
    •    Nguyen, L., & Ho, Thu-Hang T. (2018, May 7). Early Fetal Weight Estimation with Expectation Maximization Algorithm. (T. Schmutte, Ed.) Experimental Medicine (EM), 1(1), 12-30. doi:10.31058/j.em.2018.11002
    •    Nguyen, L., Do, M.-P. T. (2018, January 18). A Novel Collaborative Filtering Algorithm by Bit Mining Frequent Itemsets. PeerJ Preprints, 6(e26444v1). doi:10.7287/peerj.preprints.26444v1
    •    Nguyen, L. (2018, January 17). A Maximum Likelihood Mixture Approach for Multivariate Hypothesis Testing in case of Incomplete Data. Open Science Framework (OSF) Preprints. Retrieved from http://osf.io/whvq8
    •    Nguyen, L. (2018, January 17). Nonparametric Hypothesis Testing Report. Open Science Framework (OSF) Preprints. Retrieved from http://osf.io/tj9cf
    •    Nguyen, L. (2017, November 2). Converting Graphic Relationships into Conditional Probabilities in Bayesian Network. In J. P. Tejedor, & J. P. Tejedor (Ed.), Bayesian Inference (pp. 97-143). Rijeka, Croatia: InTechOpen. doi:10.5772/intechopen.70057
    •    Nguyen, L. (2017, April 24). A Proposal of Loose Asymmetric Cryptography Algorithm. Proceedings of The 2nd International Conference on Software, Multimedia and Communication Engineering (SMCE 2017), DEStech Transactions on Computer Science and Engineering (pp. 414-422). Shanghai: DEStech. doi:10.12783/dtcse/smce2017/12462
    •    Nguyen, L. (2017, June 9). Global Optimization with Descending Region Algorithm. (L. Nguyen, & et al., Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 72-82. doi:10.11648/j.acm.s.2017060401.17
    •    Nguyen, L., & Ho, Thu-Hang T. (2017, March 13). Experimental Results of Phoebe Framework: Optimal Formulas for Estimating Fetus Weight and Age. (H. J. Shaji, M. C. Portillo, & M. M. Zdanowicz, Eds.) Journal of Community & Public Health Nursing, 3(2), 1-5. doi:10.4172/2471-9846.1000163
    •    Nguyen, L. (2016, October 31). Beta Likelihood Estimation in Learning Bayesian Network Parameter. In United Scholars Publications (Author), Advances in Computer Networks and Information Technology (Vol. II). USA: CreateSpace Independent Publishing Platform. Retrieved from https://goo.gl/R4dwrf
    •    Nguyen, L. (2016, October 18). Estimating Peak Bone Mineral Density in Osteoporosis Diagnosis by Maximum Distribution. International Journal of Clinical Medicine Research (IJCMR), 3(5), 76-80. Retrieved from http://www.aascit.org/journal/archive2?journalId=906&paperId=4532
    •    Nguyen, L. (2016, August 18). A New Aware-context Collaborative Filtering Approach by Applying Multivariate Logistic Regression Model into General User Pattern. (F. Shi, Ed.) Journal of Data Analysis and Information Processing (JDAIP), 4(3), 124-131. doi:10.4236/jdaip.2016.43011
    •    Nguyen, L. (2016, June 17). Longest-path Algorithm to Solve Uncovering Problem of Hidden Markov Model. (L. Nguyen, & M. A. MELLAL, Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 39-47. doi:10.11648/j.acm.s.2017060401.13
    •    Nguyen, L. (2016, June 17). Tutorial on Hidden Markov Model. (L. Nguyen, & M. A. MELLAL, Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 16-38. doi:10.11648/j.acm.s.2017060401.12
    •    Nguyen, L. (2016, June 17). Tutorial on Support Vector Machine. (L. Nguyen, & M. A. MELLAL, Eds.) Special Issue “Some Novel Algorithms for Global Optimization and Relevant Subjects”, Applied and Computational Mathematics (ACM), 6(4-1), 1-15. doi:10.11648/j.acm.s.2017060401.11
    •    Nguyen, L. (2016, June 10). Continuous Observation Hidden Markov Model. (M. G. De Garcia, Ed.) Kasmera Journal, 44(6), 65-149.
    •    Nguyen, L. (2016, April 27). Beta Likelihood Estimation and Its Application to Specify Prior Probabilities in Bayesian Network. (H. M. Srivastava, P. Bracken, R. Jedynak, anonymous, & S. Zimeras, Eds.) British Journal of Mathematics & Computer Science, 16(3), 1-21. doi:10.9734/BJMCS/2016/25731.
    •    Nguyen, L. (2016, April 8). New version of CAT algorithm by maximum likelihood estimation. (B. N. Buszewski, Ed.) Sylwan Journal, 160(4), 218-244.
    •    Nguyen, L. (2016, March 28). Theorem of SIGMA-gate Inference in Bayesian Network. (V. S. Franz, Ed.) Wulfenia Journal, 23(3), 280-289.
    •    Nguyen, L. (2016, February). Specifying Prior Probabilities in Bayesian Network by Maximum Likelihood Estimation method. (B. N. Buszewski, Ed.) Sylwan Journal, 160(2), 281-298.
    •    Nguyen, L., & Ho, H. (2015, November 23). A proposed method for choice of sample size without pre-defining error. (F. Shi, Ed.) Journal of Data Analysis and Information Processing (JDAIP), 3(4), 163-167. doi:10.4236/jdaip.2015.34016
    •    Nguyen, L., Do, M.-P. T. (2015, November 13). Hudup: A Framework of E-commercial Recommendation Algorithms. In A. Fred, J. Dietz, D. Aveiro, K. Liu, & J. Filipe (Ed.), Final Program and Book of Abstracts of The 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management (IC3K 2015) (p. 56). Lisbon: SCITEPRESS. Retrieved from https://goo.gl/BQaEcm
    •    Nguyen, L. (2015, November 13). A New Approach for Collaborative Filtering based on Bayesian Network Inference. The 7th International Joint Conference on Knowledge Discovery, Knowledge Engineering and Knowledge Management. 1: KDIR (IC3K-2015), pp. 475-480. Lisbon, Portugal: SCITEPRESS - Science and Technology Publications, Lda. doi:10.5220/0005635204750480
    •    Nguyen, L. (2015, October 9). An Advanced Approach of Local Counter Synchronization in Timestamp Ordering Algorithm in Distributed Concurrency Control. (N. John, Ed.) Open Access Library Journal (OALib Journal), 2(10), 1-5. doi:10.4236/oalib.1100982
    •    Nguyen, L. (2015, September 28). Introduction to A Framework of E-commercial Recommendation Algorithms. (A. e. Shabayek et al., Eds.) American Journal of Computer Science and Information Engineering (AJCSIE), 2(4), 33-44. Retrieved from http://www.aascit.org/journal/archive2?journalId=912&paperId=1894.
    •    Nguyen, L. (2015, January 22). A User Modeling System for Adaptive Learning. In S. Schreiter (Ed.), The 2014 International Conference on Interactive Collaborative Learning (ICL 2014) (pp. 864-866). The 2014 World Engineering Education Forum (WEEF2014), Dubai, UAE: IEEE. doi:10.1109/ICL.2014.7017887
    •    Nguyen, L., & Ho, H. (2015, January 12). A fast computational formula for Kappa coefficient. (A. Genc, S.-A. Xue, R. Rison, & V. Rocha, Eds.) Science Journal of Clinical Medicine (SJCM), 4 (1), 1-3. doi:10.11648/j.sjcm.20150401.11
    •    Nguyen, L. (2015, January 10). Feasible length of Taylor polynomial on given interval and application to find the number of roots of equation. (A. Moustafa et al., Eds.) International Journal of Mathematical Analysis and Applications, 1 (5), 80-83. Retrieved from http://www.aascit.org/journal/archive2?journalId=921&paperId=1017
    •    Nguyen, L. (2014, December 6). Evaluating Adaptive Learning Model. The 2014 International Conference on Interactive Collaborative Learning (ICL 2014) (pp. 818-822). Dubai, UAE: IEEE. doi:10.1109/ICL.2014.7017878
    •    Nguyen, L. (2014, October 21). Improving analytic function approximation by minimizing square error of Taylor polynomial. (A. Moustafa et al., Eds.) International Journal of Mathematical Analysis and Applications, 1 (4), 63-67. Retrieved from http://www.aascit.org/journal/archive2?journalId=921&paperId=1016
    •    Nguyen, L. (2014, September). Theorem of logarithm expectation and its application to prove sample correlation coefficient as unbiased estimate. (A. Guezane-Lakoud, W. P. Fox, E. Francomano, S. A. Episkoposian, E. Nadaraya, A. N. Raikov, et al., Eds.) Journal of Mathematics and System Science(JMSS), 4 (9), 605-608. doi:10.17265/2159-5291/2014.09.003
    •    Nguyen, L. (2014, May). A New Algorithm for Modeling and Inferring User's Knowledge by Using Dynamic Bayesian Network. (M. Z. Raqab, Ed.) Statistics Research Letters (SRL), 3 (2). Retrieved from http://www.srl-journal.org/paperInfo.aspx?ID=6933
    •    Nguyen, L. (2014, May 28). User Model Clustering. (F. Shi, Ed.) Journal of Data Analysis and Information Processing (JDAIP), 2 (2), 41-48. doi:10.4236/jdaip.2014.22006
    •    Nguyen, L., & Ho, H. (2014, March 30). A framework of fetal age and weight estimation. (B. S. Shetty, J. Morales, a. badawy, C. Mowa, K. K. Shukla, T. Chen, et al., Eds.) Journal of Gynecology and Obstetrics (JGO), 2 (2), 20-25. doi:10.11648/j.jgo.20140202.13
    •    Nguyen, L. (2013). A New Approach for Modeling and Discovering Learning Styles by Using Hidden Markov Model. (G. Perry et al., Eds.) Global Journal of Human Social Science: G - Linguistics & Education, 13 (4 Version 1.0 Year 2013), 1-10. Retrieved from http://socialscienceresearch.org/index.php/GJHSS/article/view/609
    •    Nguyen, L. (2013, July 15). Overview of Bayesian Network. Ho Chi Minh University of Technology, Vietnam. Warri, Delta State, Nigeria: Science Journal Publication. doi:10.7237/sjms/105
    •    Nguyen, L. (2013, June). The Bayesian approach and suggested stopping criterion in Computerized Adaptive Testing. (A. T. Al-Taani, Ed.) International Journal of Research in Engineering and Technology (IJRET), 2 (1-2103), 36-38. Retrieved from https://goo.gl/kXxczD
    •    Nguyen, L. (2013, June 5). A new method to determine separated hyper-plane for non-parametric sign test in multivariate data. In V.-D. Le, A. Mukhopadhyay, & G.-T. Pham (Ed.), STATISTICS and its INTERACTIONS with OTHER DISCIPLINES (SIOD 2013). Ho Chi Minh: Ton Duc Thang University. doi:10.13140/RG.2.2.20886.86080/1
    •    Nguyen, L., Do, M.-P. T., Vu, N. T., & Tran, D. N. (2013, March 20). A New Approach for Collaborative Filtering Based on Mining Frequent Itemsets. In Selamat, A., Nguyen, Ngoc T., & Haron, H. (Ed.), ACIIDS'13 Proceedings of the 5th Asian conference on Intelligent Information and Database Systems. II, pp. 19-29. Kuala Lumpur: Springer. doi:10.1007/978-3-642-36543-0_3
    •    Nguyen, L. (2011). The method of seven qigong exercises of archery simulation. (V. H. Nguyen, Ed.) Nguyen Hoai Van's website.
    •    Do, M.-P. T., Nguyen, D. V., & Nguyen, L. (2010, August 20). Model-based Approach for Collaborative Filtering. Proceedings of The 6th International Conference on Information Technology for Education (IT@EDU2010) (pp. 217-225). Ho Chi Minh, Vietnam: Ho Chi Minh University of Information Technology. Retrieved from https://goo.gl/BHu7ge
    •    Nguyen, L. (2010). Discovering User Interests by Document Classification. In I.-H. Ting, H.-J. Wu, T.-H. Ho, I.-H. Ting, H.-J. Wu, & T.-H. Ho (Eds.), Mining and Analyzing Social Networks (Vol. 288 In series “Studies in Computational Intelligence”, pp. 139-159). Springer Berlin Heidelberg. doi:10.1007/978-3-642-13422-7_9
    •    Nguyen, L. (2010). Overview of The System of Acupuncture Spots in Oriental Medicine based on Oriental Philosophy. (L. Nguyen, Ed.) Retrieved from Loc Nguyen's Homepage: https://goo.gl/78K1Pr
    •    Nguyen, L. (2009, September 25). Incorporating Bayesian Inference into Adaptation Rules in AHA architecture. Proceedings of 12th International Conference Interests Interactive Computer aided Learning (ICL2009). Villach, Austria: Kassel University Press, Kassel, Germany. Retrieved from http://www.icl-conference.org/dl/proceedings/2009/archive.htm
    •    Nguyen, L. (2009, August 31). A Proposal Discovering User Interests by Support Vector Machine and Decision Tree on Document Classification. The International Workshop on Social Networks Mining and Analysis for Business Applications (SNMABA2009) in conjunction with The 2009 IEEE International Conference on Social Computing (SocialCom2009), 4, pp. 809-814. Vancouver, Canada: Computational International Conference on Science and Engineering 2009 (CSE '09), IEEE. doi:10.1109/CSE.2009.112
    •    Nguyen, L., & Do, P. (2009, July 16). Evolution of Parameters in Bayesian Overlay Model. In H. R. Arabnia, D. d. Fuente, & J. A. Olivas (Ed.), Proceedings of The 2009 International Conference on Artificial Intelligence (IC-AI’09), The 2009 World Congress in Computer Science, Computer Engineering, and Applied Computing (WORLDCOMP’09) (pp. 324-329). Monte Carlo Resort, Las Vegas, Nevada, USA: CSREA Press USA. Retrieved from https://goo.gl/QwMYqq
    •    Fröschl, C., & Nguyen, L. (2009, July 16). State of the Art of Adaptive Learning. In H. R. Arabnia, A. Bahrami, & A. M. Solo (Ed.), Proceedings of The 2009 International Conference on e-Learning, e-Business, Enterprise Information Systems, and e-Government (EEE 2009). The 2009 World Congress in Computer Science, Computer Engineering, and Applied Computing (WORLDCOMP’09) (pp. 126-133). Las Vegas, Nevada, USA: CSREA Press USA. Retrieved from https://goo.gl/Xn39eN
    •    Nguyen, L., & Dong, B.-T. T. (2009, July 10). ZEBRA: A new User Modeling System for Triangular Model of Learners‘ Characteristics. In G. D. Magoulas, P. Charlton, D. Laurillard, K. Papanikolaou, & M. Grigoriadou (Ed.), AIED 2009: 14th conference on Artificial Intelligence in Education, Proceedings of the Workshop on “Enabling creative learning design: how HCI, User Modeling and Human Factors Help” (pp. 42-51). Brighton, United Kingdom: IOS Press Amsterdam, The Netherlands, The Netherlands. Retrieved from https://goo.gl/cVzC6h
    •    Nguyen, L., & Do, P. (2009, June 3). Learning Concept Recommendation based on Sequential Pattern Mining. In E. Chang, F. Hussain, & E. Kayacan (Ed.), Proceedings of The 2009 Third International Digital Ecosystems and Technologies Conference (IEEE-DEST 2009) (pp. 66-71). Istanbul, Turkey: IEEE. doi:10.1109/DEST.2009.5276694
    •    Nguyen, L., & Do, P. (2009). Combination of Bayesian Network and Overlay Model in User Modeling. (M. E. Auer, Ed.) International Journal of Emerging Technologies in Learning (iJET), 4 (4), 41-45. doi:10.3991/ijet.v4i4.684
    •    Fröschl, C., Nguyen, L., & Do, P. (2008, November). Learner Model in Adaptive Learning. The 2008 World Congress on Science, Engineering and Technology (WCSET2008), 35, pp. 296-400. Paris, France: World Congress on Science, Engineering and Technology (WASET). Retrieved from https://goo.gl/MEZVJ2
    •    Nguyen, L. (2006, January). Image Retrieval by MMM Model on Combination of Image Low-Level Features and High-Level Semantics (Truy tìm ảnh qua mô hình MMM kết hợp giữa đặc trưng cấp thấp và ngữ nghĩa cấp cao của ảnh). (T.-A. Vo, & M.-P. T. Ho, Eds.) An Giang University Journal of Science, 25. Retrieved from https://goo.gl/rP2tsZ

    Skype ID: ng_phloc

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    Liang Zhao
    Professor
    Department of Computing and Mathematics
    University of Sao Paulo
    Brazil
    zhao@usp.br
    AMP

    Biography:

    Liang Zhao (M’09–SM’11) received the B.S. degree from Wuhan University, Wuhan, China, and the M.Sc. and Ph.D. degrees from the Aeronautic Institute of Technology, São Paulo, Brazil, in 1988, 1996,  and 1998, respectively, all in computer science. He joined the University of São Paulo (USP) in 2000, where he is currently a Full Professor and Head of the Department of Computing and Mathematics (DCM). From 2003 to 2004, he was a Visiting Researcher with the Department of Mathematics, Arizona State University, Tempe. His current research interests include artificial neural networks, machine learning, complex networks, pattern recognition, and bioinformatics. Dr. Zhao is a recipient of the Brazilian Research Productivity Fellowship. He was an Associate Editor of the IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS from 2009 to 2012 and he is currently an Associate Editor of the NEURAL NETWORKS.

    Research Interest: Artificial neural networks; Machine learning; Complex networks; Pattern recognitio and Bioinformatics

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    Walid Tawfik
    National Institute of Laser Enhanced Sciences, NILES
    Cairo University
    Egypt
    walid_tawfik@niles.edu.eg
    AMP

    List of Publications: https://www.researchgate.net/profile/Prof_Walid_Tawfik2

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    Hari Mohan Srivastava
    Professor
    Department of Mathematics and Statistics
    University of Victoria
    Canada
    AMP

    Research Interest: Real and Complex Analysis; Fractional Calculus and Its Applications; Integral Equations and Transforms; Higher Transcendental Functions and Their Applications; q-Series and q-Polynomials; Analytic Number Theory; Analytic and Geometric Inequalities; Probability and Statistics; Inventory Modelling and Optimization

    Grants: None

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    A. Manuela Gonçalves
    Professor
    Department of Mathematics
    University of Minho
    Portugal
    mneves@math.uminho.pt
    AMP

    Research Interest: Statistics, Applied Probability, Spatial and Temporal Modelling, Time Series Analysis, Linear and Generalized Linear Models, Multivariate Statistical Analysis, Environmental Applications, Medicine Applications, Engineering Applications

    No. of Publications (up-to-date): 31




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    Jia-Ming Wu
    Department of Radiation Oncology
    Department of Information Engineering
    I-Shou University
    Taiwan
    jiaming.wu@chmsc.com
    AMP

    Research Interest: Medical Physics, Mathematical model

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    Alireza Valipour Baboli
    Ph.D Mathematics
    Mathematics
    Technical and Vocational University
    Iran
    a.valipour@umz.ac.ir
    AMP

    1: Ranked first among the 2000 hemorrhages in pure mathematics at Mazandaran University.

    2: Use of the first-rate quotas for admission to the 2006 Graduate Certificate in the Master's Degree Program at Mazandaran University, in the field of purely mathematical analysis, written by a written organization from the country's assessment and education organization.

    3: Achievement of the third rank among the hemorrhages of the year 2005 in the master's degree of the University of Mazandaran  in the field of pure mathematics among all trends (geometry-geometry analysis) and among all the daily and university courses.

    4: Students' participation in the polar stage at the University of Gilan, which participated in the years 2003-2003, after receiving a degree in mathematics at the University of Applied Sciences in Madrid, to send a student team to the Mathematical Olympiad.

    5: earning the title of Senior Vice President of the Board of Directors of the Directorate of Planning and Budget of the IRGC in 2009.
    6: Second place in high school in Babol, Shahid Beheshti University in 1998
    7: Has a teaching ID in all Islamic Azad University units at 303107301229501
    8: Has a teaching ID in the Applied Scientific Applied Sciences University at 9210000116798

    9: Secondary and Secondary High School Grades in Babol Shahid Beheshti High School

    10: Member of the Research and Young Researchers Club of the Islamic Azad University of Qa'im Shahr Bakht Identification 3972181070003

    11 members of the editorial board of the IRJET International Journal of Engineering Technology

    12: International Referee for Fuzzy Optimization and Modeling

    Research Interest: Fixed point theorem, Measure of noncompactness, Functional Analysis, Real Analysis, Fuzzy Spaces, Impulsive Differential Equation


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    Kartlos Joseph Kachiashvili
    Professor
    Faculty of Informatics and Control Systems
    Georgian Technical University
    Georgia
    k.kachiashvili@gtu.edu.ge
    AMP

    Prof., Dr. of Sc. Kartlos Joseph Kachiashvili is Professor of Georgian Technical University, Faculty of Informatics and Control Systems. Also he is Senior Scientific Worker of the I. Vekua Institute of Applied Mathematics of the Tbilisi State University (Tbilisi, Georgia) and Senior Scientific Worker of Muskhelishvili Institute of Computational Mathematics. He was working in many scientific research institutes and universities in Georgia, Russia and Pakistan on the positions: engineer, scientific worker, Head of Laboratory, Head of Department, Head of National Center, Professor, Rector of Institute. He has 225 scientific papers published in various esteemed reputable International Journals. He is a Member of Various Professional Bodies and Editorial Boards of international scientific journals. He published seven monographs and three text-books in Georgia, Ukraine, USA and Indonesia. He has received many prestigious awards and rewards. His research interests are: Mathematical Statistics, Data Analysis (Environmental, Agricultural, Medical), Mathematical Mo¬deling and Simulation, New Computer Technologies Development, System Analysis (Environmental Water Pollution), Com¬pu¬ting Mathematics.

    Research Interest: Mathematical Statistics, Data Analysis (Environmental, Agricultural, Medical), Mathematical Modeling and Simulation, New Computer Technologies Development, System Analysis (Environmental Water Pollution), Computing Mathematics.

    Grants: for last 30 years he is got 33 scientific grants from different national and international funds.

    Number of publications: 225



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    Hongfu Liu
    Electrical & Computer Engineering
    Northeastern University
    US
    liu.hongf@husky.neu.edu
    AMP
     </xml> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:8.0pt; mso-para-margin-left:0cm; line-height:107%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-fareast-language:EN-US;} </style> Biography: Hongfu Liu received his bachelor and master degree in Management Information Systems from the School of Economics and Management, Beihang University, in 2011 and 2014 respectively. He is currently pursuing the Ph.D. degree in Northeastern University, Boston. His research interests generally focus on data mining and machine learning, with special interests in ensemble learning.<!--[if gte mso 9]><xml> </xml><xml> Normal 0 false false false EN-IN ZH-CN X-NONE </xml><xml> </xml> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:8.0pt; mso-para-margin-left:0cm; line-height:107%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-fareast-language:EN-US;} </style> Research Interest: Data Mining, Machine Learning, Cluster Analysis<!--[if gte mso 9]><xml> </xml><xml> Normal 0 false false false EN-IN ZH-CN X-NONE </xml><xml>
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    Harish Garg
    Assistant Professor
    School of Mathematics
    Deemed University
    India
    harishg58iitr@gmail.com
    AMP

    Dr. Harish Garg associated with the School of Mathematics at Thapar Institute of Engineering & Technology Patiala, India as an Assistant Professor. Prior to joining this University, Dr. Garg received a PhD in Applied Mathematics with specialization of Reliability theory and soft computing techniques, from Indian Institute of Technology Roorkee, India in 2013 and an MSc in Mathematics from Punjabi University, Patiala, India in 2008. His research interest are in the field of Computational Intelligence, Multi-criteria decision making problems, Reliability theory, Optimization techniques, various nature inspired algorithms (e.g. genetic algorithms, swarm optimization), fuzzy and intuitionistic fuzzy set theory, Expert Systems. Application areas include wide range of industrial and structural engineering design problems. Garg has authored/co-authored over 117 technical papers published in refereed International Journals including Applied Intelligence, Applied Soft Computing, Experts Systems with Applications, Journal of Intelligent and Fuzzy Systems, Journal of Manufacturing Systems, Applied Mathematics & Computations, ISA Transactions, Computer and Industrial Engineering, IEEE Transactions on Emerging Topics in Computational Intelligence, Computer and Operations Research, International Journal of Uncertainty, Fuzziness and Knowledge-based Systems, Journal of Industrial and Management Optimization, International Journal of Intelligent Systems, Journal of Multiple Logic and Soft Computing, Japan Journal of Industrial and Applied Mathematics, and many more. He has published seven book chapters also. He also severs as an Editorial Board member of various International Journals. He is listed in International Who’s Who of Professionals, Marquis Who’s Who in the World, and Marquis Who’s Who in Science and Engineering. In the year 2016, Dr. Garg was awarded an awarded outstanding reviewer for the journal Applied Soft Computing, Elsevier. His google citations are over 1485. For more details, visit http://sites.google.com/site/harishg58iitr/

    Research Interest: Fuzzy set theory; Soft Computing techniques; Decision making theory; Aggregation operators; Evolutionary algorithms; Expert  systems; Reliability theory and Reliability optimization.

    List of Publications: 
    https://sites.google.com/site/harishg58iitr/research/journals-publication

    More Info.
    Dariusz Jacek Jakobczak
    Assistant Professor
    Department of Computer Science and Management
    Koszalin University of Technology
    Poland
    AMP

    Research Interest: connect mathematics with computer science and include computer vision, artificial intelligence, shape representation, curve interpolation, contour reconstruction and geometric modelling, numerical methods, probabilistic methods, game theory, operational research and discrete mathematics

    Grants: None

    Publications

    1. Jakóbczak D.: Curve Extrapolation and Data Analysis using
    the Method of Hurwitz-Radon Matrices. Folia Oeconomica Stetinensia, vol.9(17)/2010, pp. 121-138, Szczecin University 2011.

    2. Jakóbczak D.: Object Recognition via Contour Points Reconstruction Using Hurwitz-Radon matrices. IGI Global book „Knowledge-Based Intelligent System Advancements: Systemic and Cybernetic Approaches”,
    Józefczyk J., Orski D. (Eds.), Hershey PA, USA 2011, pp. 87-107.

    3. Jakóbczak D.: Curve Parameterization and Curvature via Method of Hurwitz-Radon Matrices. Image
    Processing&Communications- An International Journal, vol.16, no.1-2, UT&LS Bydgoszcz 2011, pp. 49-56.

    4. Jakóbczak D.: Data Extrapolation and Decision Making via Method of Hurwitz-Radon Matrices.
    Computational Collective Intelligence: Technologies and Applications (Proc. of ICCCI 2011, Part 1), Lecture Notes in Computer Science, Vol. 6922, Jedrzejowicz P., Ngoc Thanh Nguyen, Kiem Hoang (Eds.), Springer-Verlag Berlin Heidelberg 2011, pp. 173-182.

    5. Jakóbczak D.: Shape Coefficients via Method of Hurwitz-Radon Matrices. Zeszyty Naukowe Wydziału
    Elektroniki i Informatyki, nr 3, str. 59-71, Wydawnictwo Uczelniane Politechniki Koszalińskiej 2011.

    6. Jakóbczak D., Kosiński W.: Shape Parametrization and Contour Curvature Using Method of Hurwitz-
    Radon Matrices. Artificial Intelligence and Soft Computing (Proc. of ICAISC 2012, Part 1), Lecture Notes in
    Computer Science/LNAI, Vol. 7267, Rutkowski L., Korytkowski M., Scherer R., Tadeusiewicz R., Zadeh L.A., Zurada J.M. (Eds.), Springer-Verlag Berlin Heidelberg 2012, pp. 518-526.

    7. Jakóbczak D: Application of Hurwitz-Radon matrices in curve interpolation and almost-smoothing. Central European Journal of Computer Science, December 2012, Volume 2, Issue 4, pp 440-458

    8. Jakóbczak D.: The Zero of Function and Interpolation by the Method of Hurwitz-Radon Matrices. Zeszyty Naukowe Wydziału Elektroniki i Informatyki, nr 4, str. 55-65, Wydawnictwo Uczelniane Politechniki
    Koszalińskiej 2012

    9. Jakóbczak D.: Probabilistic Nodes Combination – Modeling and Interpolation of 2D Curve. International Journal of Organizational and Collective Intelligence (IJOCI), vol.3, no.3, pp.22-35, IGI Global, Hershey PA, USA 2012

    10. Jakóbczak D.: Probabilistic Modeling of Signature using the Method of Hurwitz-Radon Matrices. Global
    Perspectives on Artificial Intelligence, vol. 1, issue 1, pp.1-7, January 2013.

    11. Jakóbczak D.: Application of Hurwitz-Radon Matrices in Shape Coefficients. Asian Journal of Fuzzy and Applied Mathematics, vol.01-issue 01, pp.4-11, June 2013, published online at
    http://www.ajouronline.com/index.php/AJFAM.

    12. Jakóbczak D.: Numerical differentiation via the interpolation method of Hurwitz-Radon Matrices. European Scientific Journal, vol.9, No.27, pp.50-62, September 2013.

    13. Jakóbczak D.: Active Object Modeling and Applications via the Method of Hurwitz-Radon Matrices.
    Zeszyty Naukowe Wydziału Elektroniki i Informatyki, nr 5, str. 5-16, Wydawnictwo Uczelniane Politechniki
    Koszalińskiej 2013.

    14. Jakóbczak D.: Object Recognition via Contour Points Reconstruction Using Hurwitz-Radon matrices. IGI Global books „Image Processing: Concepts, Methodologies, Tools, and Applications”, Hershey PA, USA 2013,
    pp. 998-1018.

    15. Jakóbczak D.: Curve Interpolation and Shape Modeling via Probabilistic Nodes Combination. DOI:
    10.1007/s40595-014-0016-7. Vietnam Journal of Computer Science, Springer 2014, Volume 1, Issue 3 (2014),
    pp. 141-153.

    16. Jakóbczak D.: Probabilistic Interpolation of the Curve via the Method of Hurwitz-Radon Matrices.
    Advances in Computer Science: an International Journal (ACSIJ), Vol. 3, Issue 3, No. 9, May 2014, pp. 9-15.

    17. Jakóbczak, D.J. (2014) Numerical Quadratures Using the Interpolation Method of Hurwitz-Radon Matrices. Advances in Linear Algebra & Matrix Theory, 4 (2), 100-108. http://dx.doi.org/10.4236/alamt.2014.42008

    18. Jakóbczak D.: Offline Text-Independent Handwriting Identification and Shape Modeling via Probabilistic
    Nodes Combination. Artificial Intelligence and Soft Computing (Proc. of ICAISC 2014, Part 2), Lecture Notes in Computer Science - LNAI 8468, Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (Eds.), Springer 2014, pp 119-130.

    19. Jakóbczak D.: Probabilistic Data Modeling - Interpolation and Extrapolation via the Method of Hurwitz-
    Radon Matrices. Open Transactions on Information Processing, vol. 1, no.2, August 2014, pp. 1-19.

    20. Jakóbczak D.J.: Numerical Applications of the Method of Hurwitz-Radon Matrices. Proceedings of 2nd AIIC Annual International Interdisciplinary Conference, 08-12 July 2014, Ponta Delgada, Azores Islands (Portugal),
    pp. 436-446.

    21. Jakóbczak D.J.: Mathematical Modeling of 2D Processes via the Method of Hurwitz-Radon Matrices.
    Proceedings of International Conference On Advances In Computing, Electronics And Electrical Technology CEET 2014, 02-03.08.2014, Kuala Lumpur (Malaysia), pp.114-117.

    22. Jakóbczak D.: Probabilistic 2D Shape Retrieval and Applications via the Method of Hurwitz-Radon
    Matrices. Journal of Control Science and Engineering 2 (2014), pp.1-6.

    23. Jakóbczak, D.J. (2014) The Solution of Nonlinear Equations via the Method of Hurwitz-Radon Matrices. Journal of Computer and Communications, 2, 9-16. http://dx.doi.org/10.4236/jcc.2014.210002

    24. Jakóbczak D.J.: 2D Data Modeling by Probability Distribution. Proceedings of International Conference on Engineering and Applied Science ICEAS 2014, vol. II, 13.07.2014, Bangalore (India), pp.1-5.

    25. Jakóbczak D.J.: Data Modeling using MHR Method. Proceedings of International Conference on Advances in Computer and Electronics Technology ACET 2014, Rakesh Kumar (Ed.), 26-27.08.2014, Hong Kong,
    pp.125-128.

    26. Jakóbczak D.J.: 2D Data Modeling by Probability Distribution. International Journal of Advanced
    Computer Engineering and Communication Technology (IJACECT), 2014 vol. 3, issue 1, pp. 13-17.

    27. Jakóbczak D.J., 2D Curve Modeling via the Method of Probabilistic Nodes Combination - Shape
    Representation, Object Modeling and Curve Interpolation-Extrapolation with the Applications, LAP Lambert Academic Publishing (Saarbrucken, Niemcy) 2014, ISBN 978-3-659-58730-6.

    28. Jakóbczak D.J.: Numerical Applications of the Method of Hurwitz-Radon Matrices. European Scientific
    Journal, vol.3, special edition, pp.436-446, September 2014.

    29. Jakóbczak D.J.: 2D Data Modeling by Probability Distribution. International Journal on Advanced
    Electrical and Computer Engineering (IJAECE), 2014 vol. 1, issue 1, pp. 1-5.

    30. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in Handwriting Recognition. Zeszyty
    Naukowe Wydziału Elektroniki i Informatyki, nr 6, str. 35-50, Wydawnictwo Uczelniane Politechniki
    Koszalińskiej 2014.

    31. Jakóbczak D.J.: Reconstruction and Modeling of 2D Information. Information - An International
    Interdisciplinary Journal (lista A, nr 4591, 15 pkt.) – in press, 2015.

    32. Jakóbczak D.J.: 2D Point Reconstruction by MHR Method. Proceedings of 2nd International Conference on Advances in Computing, Electronics and Communication - ACEC 2014, 25-26.10.2014, Zurich, pp.181-184.

    33. Jakóbczak D.J.: Restoration of 2D Information by MHR Method. Proceedings of 2nd International
    Conference on Advances in Computing, Communication and Information Technology - CCIT 2014, University of Birmingham (Birmingham, UK), November 16-17, 2014, pp.6-9.

    34. Jakóbczak D.J.: Application of the Method of Hurwitz-Radon Matrices in Data Reconstruction. Proceedings of 2nd International Conference On Advances In Computing, Electronics And Electrical Technology CEET 2014,
    20-21.12.2014, Kuala Lumpur (Malaysia), pp.15-18.

    35. Jakóbczak D.J.: Data Modeling using MHR Method. International Journal of Advances in Computer
    Science & Its Applications – IJCSIA 2014, Volume 4: Issue 4, pp.6-9.

    36. Jakóbczak D.J.: Mathematical Modeling of 2D Processes via the Method of Hurwitz-Radon Matrices.
    International Journal of Advances in Computer Science & Its Applications – IJCSIA 2014, Volume 4: Issue 4,
    pp.157-160.

    37. Jakóbczak D.J.: Implementation of Novel Method in Curve Interpolation. Proceedings of International
    Conference on Advances in Computing, Control and Networking - ACCN 2015, 21-22.02.2015, Bangkok
    (Thailand), pp.7-10.

    38. Jakóbczak D.J.: Probabilistic 2D Point Interpolation and Extrapolation via Data Modeling. Informatica 39 (2015), 53–61.

    39. Jakóbczak D.J.: Application of Curve Interpolation in Data Modeling and Restoration. Proceedings of 3rd International Conference On Advances In Computing, Electronics And Electrical Technology CEET 2015, 11-12.04.2015, Kuala Lumpur (Malaysia), pp.42-45.

    40. Jakóbczak D.J.: 2D Point Reconstruction by MHR Method. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 1, pp.11-14.

    41. Jakóbczak D.J.: Restoration of 2D Information by MHR Method. International Journal of Advances in
    Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 1, pp.51-54.

    42. Jakóbczak D.J.: Application of the Method of Hurwitz-Radon Matrices in Data Reconstruction.
    International Journal of Advances in Software Engineering & Research Methodology– IJSERM 2015, Vol. 2:Issue 1, pp.40-43.

    43. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in 2D Information Reconstruction, Object Recognition and Modeling. Proceedings of 3rd International Conference on Advances in Computing,Communication and Information Technology - CCIT 2015, City University of Birmingham (Birmingham, UK), May 26-27, 2015, pp.93-98.

    44. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in Simulation and Modeling. New
    Developments in Computational Intelligence and Computer Science, Wang Y., Borne P., Rudas I. (Eds), Recent Advances in Computer Engineering Series 28. Proceedings of the International Conference on Applied Physics, Simulation and Computers - APSAC 2015, Vienna (Austria), March 15-17, 2015, pp.124-129.

    45. Jakóbczak D.J.: Novel Method of 2D Data Simulation and Modeling. Recent Researches in Applied
    Mathematics, Simulation and Modelling, Rudas I. (Ed.), Mathematics and Computers in Science and
    Engineering Series 46. Proceedings of the 9th International Conference on Applied Mathematics, Simulation, Modelling - ASM15, Konya (Turkey), May 20-22, 2015, pp.121-126.

    46. Jakóbczak D.J.: Data Interpolation with Applications via Probabilistic Distribution and Nodes
    Combination. Recent Advances in Mathematics, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 48. Proceedings of the 2015 International Conference on Pure Mathematics, Applied Mathematics and Computational Methods (PMAMCM 2015), Zakynthos Island (Greece), July 16-20, 2015, pp.27-32.

    47. Jakóbczak D.J.: Applications of Hurwitz-Radon Matrices in Data Engineering and Information Restoration. Recent Advances on Computer Engineering Series 33, Xiaodong Zhuang (Ed.). Proceedings of the 14th International Conference on Applications of Computer Engineering (ACE '15), Seoul (Korea), September 5-7, 2015, pp.159-162.

    48. Jakóbczak D.J.: Data Reconstruction based on Probability Distribution. Mathematical and Computational Methods in Applied Sciences, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 51.Proceedings of 3rd International Conference on Applied, Numerical and Computational Mathematics (ICANCM '15), Sliema (Malta), August 17-19, 2015, pp.179-184.

    49. Jakóbczak D.J.: Geometry of the Curve using Nodes Combination with Probability Distribution.
    Mathematical and Computational Methods in Electrical Engineering, Mladenov V. (Ed.), Recent Advances in Electrical Engineering Series 53. Proceedings of 15th International Conference on Signal Processing,
    Computational Geometry and Artificial Vision (ISCGAV '15), Sliema (Malta), August 17-19, 2015, pp.147-152.

    50. Jakóbczak D.J.: Information Retrieval and Data Forecasting via Probabilistic Nodes Combination.
    Intelligent Data Engineering and Automated Learning – IDEAL 2015, Lecture Notes in Computer Science
    LNCS 9375, Jackowski, K., Burduk, R., Walkowiak, K., Woźniak, M., Hujun Yin (Eds.), Springer 2015, pp
    104-112.

    51. Jakóbczak D.J.: Application of Curve Interpolation in Data Modeling and Restoration. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 2, pp.121-124.

    52. Jakóbczak D.J.: Implementation of Novel Method in Curve Interpolation. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 2, pp.7-10.

    53. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in 2D Information Reconstruction, Object Recognition and Modeling. International Journal of Advances in Computer Science & Its Applications – IJCSIA 2015, Vol. 5: Issue 2, pp.173-178.

    54. Jakóbczak D.J.: Data Modeling and Interpolation based on Probability Distribution of the Nodes.
    Advances in Computer Science, Xiaodong Zhuang (Ed.), Recent Advances in Computer Engineering Series 35. Proceedings of the 6th European Conference of Computer Science (ECCS '15), Rome (Italy), November 7-9, 2015, pp.245-250.

    55. Jakóbczak D.J.: Curve Restoration with Implementations based on Probability Distribution Functions.
    Mathematical Models and Computational Methods, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 55. Proceedings of the 2015 International Conference on Applied Mathematics,
    Computational Science & Engineering (AMCSE 2015), Agios Nikolaos, Crete, Greece, October 17-19, 2015,pp.69-74.

    56. Jakóbczak D.J.: Applications of Probabilistic Distribution via Hurwitz-Radon Matrices. Recent Advances
    on Applied Mathematics, Rudas I. (Ed.), Mathematics and Computers in Science and Engineering Series 56.Proceedings of the 20th International Conference on Applied Mathematics AMATH15, Budapest (Hungary), December 12-14, 2015, pp.149-152.

    57. Jakóbczak D.J.: Data Forecasting and Extrapolation via Probability Distribution and Nodes Combination.Zeszyty Naukowe Wydziału Elektroniki i Informatyki, nr 8, str. 25-38, Wydawnictwo Uczelniane Politechniki Koszalińskiej 2015.

    58. Jakóbczak D.J.: The Method of Probabilistic Nodes Combination in 2D Information Retrieval, Pattern
    Recognition and Biometric Modeling. Advances in Intelligent Systems and Computing 389, Image Processing and Communications: Challenges 7, Choraś R.S. (Ed.), Springer 2016, pp. 125-134.

    59. Jakóbczak, D. J. (2016). Analyzing Risk through Probabilistic Modeling in Operations Research (pp. 1-
    442). Hershey, PA: IGI Global. doi:10.4018/978-1-4666-9458-3

    60. Jakóbczak D.J: Data Extrapolation via Curve Modeling in Analyzing Risk: Value Anticipation for Decision Making. In: Analyzing Risk through Probabilistic Modeling in Operations Research, Jakóbczak D.J. (Ed.), IGI Global (Hershey PA, USA), 2016, pp. 1-31.

    61. Jakóbczak D.J: The Method of Probabilistic Nodes Combination in Decision Making and Risk Analysis:
    Data Extrapolation in Planning. In: Analyzing Risk through Probabilistic Modeling in Operations Research,
    Jakóbczak D.J. (Ed.), IGI Global (Hershey PA, USA), 2016, pp. 32-60.

    62. Jakóbczak D.J.: Applications of Orthogonal Matrices in 2D Data Retrieval. Advances in Mathematics and Computer Science & their Applications, Rudas I.J, Lee S.C. (Eds.), Mathematics and Computers in Science and Engineering Series 57. Proceedings of the 7th European Conference on Applied Mathematics and Informatics AMATHI16, Venice (Italy), January 29-31, 2016, pp.264-267.

    63. Jakóbczak D.J.: Probabilistic Method of Data Computation, Interpolation and Modeling. Advances in
    Mathematics and Computer Science & their Applications, Rudas I.J, Lee S.C. (Eds.), Mathematics and
    Computers in Science and Engineering Series 57. Proceedings of the 18th International Conference on
    Mathematical Methods, Computational Techniques and Intelligent Systems MAMECTIS '16, Venice (Italy),
    January 29-31, 2016, pp.252-257.

    64. Jakóbczak D.J.: A Novel Method of 2D Computation and Reconstruction. Recent Advances in Mathematics and Computational Science, Rudas I.J (Ed.), Mathematics and Computers in Science and Engineering Series 58. Proceedings of the 4th International Conference on Mathematical, Computational and Statistical Sciences MCSS '16, Barcelona (Spain), February 13-15, 2016, pp.35-41.

    65. Jakóbczak D.J.: Information Analysis and 2D Point Extrapolation using Method of Hurwitz-Radon
    Matrices. International Arab Journal of Information Technology –accepted, WoS-JCR.

    66. Jakóbczak D.J.: Modeling of High-dimensional Data for Applications of Image Segmentation in Image
    Retrieval and Recognition Tasks. Hybrid Soft Computing for Image Segmentation, Siddhartha Bhattacharyya, Paramartha Dutta, Sourav De, Goran Klepac (Eds.), Springer International Publishing AG, Cham, Switzerland. It is expected to be published in 2017.

    More Info.
    Jinde Cao
    Endowed Chair Professor
    School of Mathematics
    Southeast University
    China
    jdcaoseu@gmail.com
    AMP

    Jinde Cao is an Endowed Chair Professor, the Dean of School of Mathematics and the Director of the Research Center for Complex Systems and Network Sciences at Southeast University. From March 1989 to May 2000, he was with the Yunnan University. In May 2000, he joined the School of Mathematics, Southeast University, Nanjing, China. From July 2001 to June 2002, he was a Postdoctoral Research Fellow at Chinese University of Hong Kong, Hong Kong. Professor Cao was an Associate Editor of the IEEE Transactions on Neural Networks, and Neurocomputing. He is an Associate Editor of the IEEE Transactions on Cybernetics, IEEE Transactions on Cognitive and Developmental Systems, Journal of the Franklin Institute, Mathematics and Computers in Simulation, Cognitive Neurodynamics, and Neural Networks. He is a Fellow of IEEE, a Member of the Academy of Europe, and a Foreign Fellow of Pakistan Academy of Sciences. He has been named as Highly-Cited Researcher by Thomson Reuters/Clarivate Analytics.

    Research Interest: Neural networks:  Computational intelligence; Complex networks; Complex systems; Intelligent control; Multi-agent system ; Differential equations; Applied mathematics

    URL: http://www.ae-info.org/ae/User/Cao_Jinde

    No. of Publications (up-to-date): 630

    More Info.
    Anatolij K. Prykarpatski
    Professor
    Department of Physics & Mathematics
    Cracov University of TechnologyPoland
    Poland
    pryk.anat@ua.fm
    AMP

    Research Interest: Lagrangian and Hamiltonian mechanics; classical and quantum electrodynamics; relativity theory, string theory and gravity; classical and quantum statistical physics and kinetic theory; quantum scattering theory; quantization problems in quantum mechanics and applications; quantum nonlinear optics; quantum Josephson type media; polaron theory; magnetohydrodynamics of plasma physics; hydrodynamics and turbulence theory; vortex theory aspects in magneto-dynamics; ergodic processes and dynamical chaos; solvable models of quantum statistical physics and elds theory

    1. Integrable Dynamical Systems: di¤ erential-geometric and spectral as-
    pects (monograph), Kiev, Naukova Dumka, 1987

    2. Algebraic aspects of Nonlinear Dynamical Systems on Manifolds (mono-
    graph), Kiev, Naukova Dumka, 1991

    3. Algebraic integrability of nonlinear dynamical systems on manifolds:
    classical and quantum aspects.(monograph) 1998, Kluwer Publishers, Dordrecht, the
    Netherlands

    4. Quantum Field Theory with Application to Quantum Nonlinear Op-
    tics, World Scienti…c Publishers, 2002, New Jersey, USA

    5. Di¤ erential-geometric and Lie-algebraic backgrounds of nonlinear in-
    tegrable dynamical systems on functional manifolds, Second Edition, Lviv Univer-
    sity Publisher, 2006, Lviv, Ukraine

    6. Non linear dynamical systems of mathematical physics: spectral and dif-
    ferential geometrical integrability analysis. (monograph) World Scienti…c Publ., NJ,
    USA, 2011

    Selected Articles:
    1. The Lax solution to a Hamilton-Jacobi equation and its generalizations.: part II.
    Nonlinear Analysis (USA), 2003, v.55, p. 629-640.(with Y.V. Mykytyuk and D.L. Black-
    more)

    2. The reduction method in the theory of Lie-algebraically inte-grable oscillatory Hamil-
    tonian systems. Ukrainian Mathem.Journal. 2003, 55, N2, p. 232-240 (with V. Samoylenko
    and U. Taneri)

    3. The structure of Hermitean Darboux-Backlund transformations and their applica-
    tions. Ukr. Mathem. Journal, 2003, v. 55, N4. (with V.G. Samoylenko)

    4. On some class of factorized operator dynamical systems and their integrability. Mathematical Methods
    and Physics-Mechanical Fields, 2003, v. 46, N2, p. 22.25 (with D.L. Blackmore)

    5. The Lyapunov-Schmidt approach to studying homoclinics splitting in weakly per-
    turbed Lagrangian and Hamiltonian systems. Ukrainian Mathem. Journal, 2003, v. 55,
    N.1, p.66-74, 2004 (with A. Samoilenko and V. Samoylenko)

    6. The Hopf algebras and the Heisenberg-Weil algebra related with integrable.‡ows.
    Ukrainian Mathem. Journal, 2004, v. 56, N1, p.88-96 ( with A.M. Samoilenko, D.L. Black-
    more)

    7. The description of multi-agent interaction in complex systems, Journal of Nonlin.
    Math. Physics, 2004 , v. 11, 3, p. 350-360 (with V.V. Ga…ychuk)

    8. Replicator dynamics and mathematical description of multi-agent interaction in com-
    plex systems, Journal of Nonlin. Math. Physics, 2004, v. 11, N1, p. 113-122 (with V.V.
    Ga…ychuk)

    9. A geometric approach to quantum holonomic computing algorithms. Mathematics
    and Computers in Simulation, Elsevier Publ., 2004, v. 35, N2, p. 734-753 (with D. Black-
    more and others)

    11. The general di¤erential-geometric structure of multidimensional Delsarte transmu-
    tation operators in parametric functional spaces and their applications in soliton theory.
    Part 2. "Opuscula Mathematica", 2004, N 24, p. 71-83

    12. Symplectic …eld theory approach to studying ergodic measures related with non-
    autonomoues hamiltonian systems. "Universitat Jagiellonicae Acta Mathematicae", 2004,
    November, p. 56-72

    13. Symplectic analysis of the dynamical system associated with a stochastic replicator
    Fisher type model. Applied Mathematics and Informatics series, Proceedings of the Lviv
    National University, 2003, v. 6, p. 135-143 (with V.V. Ga…ychuk and M.M. Prytula)

    14. Quantum chaos and its testing, "Theory of Stochastic processes", 2004, v. 10(26),
    N 3-4 p.126-128 (with V. Ga…ychuk)

    15. On some class of gradient dynamic systems associated with polynomial discrete
    probability distribution. "Journal of Mathematical Methods and Phys.Mech. Fields", 2004,
    v. 47, N1, p. 68-72 (with O. Hentosh)

    16. Quantum Mathematics: Holonomic Computing Algorithms and Their Applications.
    Part 2. Automatyka, wyd-wo AGH, 2004, cz.. p. 43-66

    17. Pattern formation in neural dynamical systems governed by mutually Hamiltonian
    and gradient vector …eld structures. "Condensed Matter Physics", 2004, v. 7, N3, p. 551-
    563 (with V. V. Ga…ychuk)

    18. Quantum-Holonomic computing algorithm via Lax type ‡ows on Grassmann man-
    ifolds and dual momentum mappings. "Mathematical Bulletin", Lviv Sci. Society Publ.,
    2004, v.1, p. 85-103 (with D. Blackmore and others)

    19. Generalized de Rham-Hodge-Skrypnik theory: di¤erential-geometric and spectral
    aspects. Ukrainian Mathematical Bulletin, 2005, v.2,N4, p. 550-582 (with Y. Prykarpatsky
    and A. Samoilenko)

    20. Ergodic dynamical systems: the order and chaos. Mathematical Bulletin, Lviv Sci.
    Soc. Publ., 2005, v. 2, p. 8-15 (with M. Bogoliubov and M. Prytula)

    21. Di¤erential-geometric foundations of nonlinear integrable dynamical systems on
    functional manifolds, (Monography), Lviv University Publisher, The First Edition, 2005,
    402 p., Lviv, Ukraine/Krakow, AGH (with O. Hentosh and M. Prytula, 2006)

    22. The gradient-holonomic integrability analysis of a Whitham type nonlinear dy-
    namical model for a relaxing medium with spatial memory, Nonlinearity, 2006, v. 19, p.
    2115-2122 (with M. Prytula)

    23. On the ergodic and spectral properties of generalized Boole transformations, Miskolc
    Mathematical Notes, 2006, v. 7, N1, p. 91-99 (with J. Feldman)

    24. Some analytical properties of dissolving operators related with the Cauchy problem
    for a class of non-autonomous partial di¤erential equations. Part 1. Opuscula Mathematica,
    2006, v. 26, N1, p. 131-136 (with M. Pytel-Kudela)

    25. The integrability gradient-holonomic analysis of a nonlinear Whitham type model
    for the relaxing medium with memory, Reports of the National Academy of Sciences, Kyiv,
    2006, N5, p. 13-18 (with M. Prytula)

    26. The spectral and di¤erential-geometric aspects of a generalized de Rham-Hodge
    theory related with Delsarte transmutation operators in multi-dimension and its applica-
    tions to spectral and soliton problems, Nonlinear Analysis, 2006, v. 65, N2, p. 395 (with
    A. Samoilenko and Y. Prykarpatsky)

    27. On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations
    kinetic models, the ICTP-Preprint, 2006, Trieste, Italy,IC/2006/006, p. 1-36 (with N. Bo-
    golubov and D. Blackmore)

    28. An in…nite-dimensional Borsuk-Ulam type generalization of the Leray-Schauder
    type …xed point theorem and some applications. Ukrainian Mathematical Journal, Vol.
    60, No. 1, 2008, pp. 100-106

    29. The Lie-algebraic structures and integrability of di¤erential and di¤erential-di¤erence
    nonlinear dynamical systems. The ICTP- Preprint, 2007, Trieste, Italy (with D. Blackmore
    and N. Bogolubov (jr.)) 1. The Lax solution to a Hamilton-Jacobi equation and its gen-
    eraizations.: part II. Nonlinear Analysis (USA), 2003, v.55, p. 629-640.(with Y.V. Mykytiuk
    and D.L. Blackmore)

    30. The reduction method in the theory of Lie-algebraically integrable oscillatory
    Hamiltonian systems. Ukrainian Mathem.Journal. 2003, 55, N2, p. 232-240 (with V. Samoylenko
    and U. Taneri)

    31. The structure of Hermitean Darboux-Backlund transformations and their applica-
    tions. Ukr. Mathem. Journal, 2003, v. 55, N4. (with V.G. Samoylenko)
    32. On some class of factorized operator dynamical systems and their integrability.
    Mathematical Methods and Physics-Mechanical Fields, 2003, v. 46, N2, p. 22.25 (with
    D.L. Blackmore)

    33. The Lyapunov-Schmidt approach to studying homoclinics splitting in weakly per-
    turbed Lagrangian and Hamiltonian systems. Ukrainian Mathem. Journal, 2003, v. 55,
    N.1, p.66-74 (with A. Samoilenko and V. Samoylenko), 2004

    34. The Hopf algebras and the Heisenberg-Weil algebra related with integrable.‡ows.
    Ukrainian Mathem. Journal, 2004, v. 56, N1, p.88-96 ( with A.M. Samoilenko, D.L. Black-
    more)

    35. The description of multi-agent interaction in complex systems, Journal of Nonlin.
    Math. Physics, 2004 , v. 11, 3, p. 350-360 (with V.V. Ga…ychuk)

    36. Replicator dynamics and mathematical description of multi-agent interaction in
    complex systems, Journal of Nonlin. Math. Physics, 2004, v. 11, N1, p. 113-122 (with V.V.
    Ga…ychuk)

    37. A geometric approach to quantum holonomic computing algorithms. Mathemat-
    ics and Computers in Simulation, Elsevier Publ., 2004, v. 35, N2, p. 734-753 (with D.
    Blackmore and others)

    38*. A geometrical approach to quantum holonomic computing algorithms. "Mathe-
    matics and Computers in Simulation", Elsevier, 2004, v. 35, N2, p. 734-753. (with D.L.
    Blackmore, A.M. Samoilenko, U.Taneri and Y.A. Prykarpatsky)

    39. The general di¤erential-geometric structure of multidimensional Delsarte transmu-
    tation operators in parametric functional spaces and their applications in soliton theory.
    Part 2. "Opuscula Mathematica", 2004, N 24, p. 71-83

    40. Symplectic …eld theory approach to studying ergodic measures related with non-
    autonomous hamiltonian systems. "Universitat Jagellonicae Acta Mathematicae", 2004,
    November, p. 56-72

    41. Symplectic analysis of the dynamical system associated with a stochastic replicator
    Fisher type model. Applied Mathematics and Informatics series, Proceedings of the Lviv
    National University, 2003, v. 6, p. 135-143 (with V.V. Ga…ychuk and M.M. Prytula)

    42. Quantum chaos and its testing, "Theory of Stochastic processes", 2004, v. 10(26),
    N 3-4 p.126-128 (with V. Ga…ychuk)

    43. On some class of gradient dynamic systems associated with polynomial discrete
    probability distribution. "Journal of Mathematical Methods and Phys.Mech. Fields", 2004,
    v. 47, N1, p. 68-72 (with O. Hentosh)

    44. Quantum Mathematics: Holonomic Computing Algorithms and Their Applications.
    Part 2. Automatyka, wyd-wo AGH, 2004, cz.. p. 43-66

    45. Pattern formation in neural dynamical systems governed by mutually Hamiltonian
    and gradient vector …eld structures. "Condensed Matter Physics", 2004, v. 7, N3, p. 551-
    563 (with V. V. Ga…ychuk)

    46*. Quantum-Holonomic computing algorithm via Lax type ‡ows on Grassmann man-
    ifolds and dual momentum mappings. "Mathematical Bulletin", Lviv Sci. Society Publ.,
    2004, v.1, p. 85-103 (with D. Blackmore and others)

    47. On the Liouville-Arnold Integrable ‡ows related with quantum algebras and their
    Poissonian representations. Publ. of the Inst. of Mathem., Kyiv, 2003-2004, Ukraina, 2004,
    v.50, part 3, p. 1184-1191, 2005

    48. The structure of Gelfand-Levitan -Marchenko type equations for Delsarte trans-
    mutation operators of linear multidimensional di¤erential operators and operator pencils.
    Part 1. Journal of Nonlin. Mathem. Physics, 2005, v.12(1), p. 73-87 (with J. Golenia and
    Y. Prykarpatsky)

    49. The structure of Gelfand-Levitan -Marchenko type equations for Delsrate trans-
    mutation operators of linear multidimensional di¤erential opertaors and operator pencils.
    Part 2. Journal of Nonlin. Mathem. Physics, 2005, v.12(3), p.381-408 (with J. Golenia, Y.
    Prykarpatsky)

    50*. The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type trans-
    formations in multidimension. Central European Journal of Mathem., 2005, 3(3), p. 1-29
    (with A.Samoilenko, Y. Prykarpatsky)

    51*. The De Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in
    multidimension and its applications. Reports on Mathem.Physics, 2005, v. 55(3), p. 351-
    370 (with A. Samoilenko and Y. Prykarpatsky)

    52. Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equa-
    tions: the modern di¤erential-geometric aspects. Miskolc Mathem. Notes, 2005, v. 6(1), p.
    65-103 (with A. Samoilenko, Y. Prykarpatsky and D. Blackmore)

    53. A generalized de Rham-Hodge theory of multidimensional Delsarte transmutations
    of di¤erential operators and its applications for nonlinear dynamical systems. Physics
    of Particles and Nuclei, 2005, v. 36 (Suppl.), p. 110-121 (with N. Bogoliubov (jr), A.
    Samoilenko and A. Prykarpatsky)

    54. The geometric properties of reduced canonically symplectic spaces with symmetry,
    their relationship with structures on associated principal …ber bundles and some applica-
    tions. Part 1. Opuscula Mathematica, 2005, v. 25, N2, p.287-298 (with A. Samoilenko and
    A. Prykarpatsky)

    55. Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equa-
    tions: the modern di¤erential-geometric aspects. Miskolc Mathem. Notes, 2005, v. 6(1), p.
    65-103 (with A. Samoilenko, Y. Prykarpatsky and D. Blackmore)

    56. Generalized de Rham-Hodge-Skrypnik theor: di¤erential-geometric and spectral
    aspects. Ukrainian Mathematical Bulletin, 2005, v.2,N4, p. 550-582 (with Y. Prykarpatsky
    and A. Samoilenko)

    57. Ergodic dynamical systems: the order and chaos. NTSh- Mathematical Bulletin,
    2005, v. 2, p. 8-15 (with M. Bogoliubov and M. Prytula)

    58. A survey of the spectral and and di¤erential-geometric aspects of the generalized
    de Rham-Hodge theory related with Delsarte transmutation operators in multi-dimension
    and applications to spectral and soliton problems. Part 1, Applied Mathematics E-Notes,
    2005, v. 5, p. 117-152

    59. The ergodic measures related with non-autonomous Hamiltonian systems and their
    homology structure, CUBO-Matehmatical Journal, 2005, v.7, N 3, p. 49-64 (with D. Black-
    more and others)

    60. A survey of the spectral and and di¤erential-geometric aspects of the generalized
    de Rham-Hodge theory related with Delsarte transmutation operators in multi-dimension
    and applications to spectral and soliton problems. Part 2, Applied Mathematics E-Notes,
    2005, v. 6, p. 1-28

    61. Construction of …nite-dimensional reductions on functional manifolds. Mathemati-
    cal Methods and Phys.-Mech. Fileds, 2005, v. 48, N1, p. 7-14 ( with O. Bihun)

    62. Mykola Bogolyubov - prefounder of contemporary mathematical physics and quan-
    tum mathematics. Mathematical Bulletin of NTSh, v. 6 (2009), p. 6-13 (in Ukrainian)
    (with A. Plichko)

    63. Bulletin, Lviv Sci. Soc. Publ., 2005, v. 2, p. 8-15 (with M. Bogoliubov and M.
    Prytula)

    64. Di¤erential-geometric foundations of nonlinear integrable dynamical systems on
    functional manifolds, (Monogra…a), Lviv University Publisher, The First Edition, 2005,
    402 p., Lviv, Ukraine/Krakow, AGH (with O. Hentosh and M. Prytula, 2006

    65. The gradient-holonomic integrability analysis of a Whitham type nonlinear dy-
    namical model for a relaxing medium with spatial memory, Nonlinearity, 2006, v. 19, p.
    2115-2122 (with M. Prytula)

    66. On the ergodic and spectral properties of generalized Boole transformations, Miskolc
    Mathematical Notes, 2006, v. 7, N1, p. 91-99 (with J. Feldman)

    67. Some analytical properties of dissolving operators related with the Cauchy problem
    for a class of non-autonomous partial di¤erential equations. Part 1. Opuscula Mathematica,
    2006, v. 26, N1, p. 131-136 (with M. Pytel-Kudela)

    68. The integrability gradient-holonomic analysis of a nonlinear Witham type model
    for the relaxing medium with memory, Reports of the National Academy of Sciences, Kyiv,
    2006, N5, p. 13-18 (with M. Prytula)

    69*. The spectral and di¤erential-geometric aspects of a generalized de Rham-Hodge
    theory related with Delsarte transmutation operators in multi-dimension and its applica-
    tions to spectral and soliton problems, Nonlinear Analysis, 2006, v. 65, N2, p. 395 (with
    A. Samoilenko and Y. Prykarpatsky)

    70. On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations
    kinetic models, the Italy ICTP-Preprint (reviewed), 2006, IC/2006/006, p. 1-36 (with N.
    Bogoliubov and D. Blackmore)

    71. On generalized de Rham-Hodge complexes, the related characteristic Chern classes
    and some applications to integrable multi dimensional di¤erential sytstems on Riemanni-
    an manifolds. The ICTP-Preprint, 2006, Trieste, Italy, (Available at: publications.ictp.it)
    IC/2006/107

    72. The Lie-algebraic structures and integrability of di¤erential and di¤erential-di¤erence
    nonlinear dynamical systems. The ICTP-Preprint, 2007, Trieste, Italy, (Available at: pub-
    lications.ictp.it), IC/2007/029 (with D. Blackmore and N. Bogolubov (jr.))

    73. Introductive backgrounds of modern quantum mathematics with application to
    nonlinear dynamical systems. The ICTP-Preprint, 2007, Trieste, Italy, (Available at: pub-
    lications.ictp.it), IC/2007/108 (with N. Bogolubov (jr.), U. Taneri and J. Golenia)

    74. The di¤erential-geometric aspects of integrable dynamical systems. The ICTP-
    Preprint, 2007, Trieste, Italy, (Available at: publica-tions.ictp.it), IC/2007/030 (with N.
    Bogolubov (jr.), D. Blackmore, A. Samoilenko)

    75. On the analytical structure of the Bogolubov generating functional method in classi-
    cal statistical physics and related "collec-tive"variable method. The ICTP-Preprint, 2006,
    Trieste, Italy, (Available at: publications.ictp.it), IC/2006/106 (with N. Bogolubov (jr.))

    76. Analytical properties of an Ostrovsky-Whitham type dynamical system for a relax-
    ing medium with spatial memory and its integrabil-ity. The ICTP-Preprint, 2007, Trieste,
    Italy, (Available at: publica-tions.ictp.it), IC/2007/109 (with N. Bogolubov (jr.), J. Golenia
    and I. Gucwa)

    77. A symplectic generalization of the Peradzynski helicity theorem and some ap-
    plications. The ICTP-Preprint, 2007, Trieste, Italy, (Available at: publications.ictp.it),
    IC/2007/118, (with N. Bogolubov (jr.), J. Golenia)

    78. A Borsuk-Ulam type generalization of the Leray-Schauder …xed point theorem. The
    ICTP-Preprint, 2007, Trieste, Italy, (Available at: publications.ictp.it), IC/2007/028

    79. A Symplectic Generalization of the Peradzynski Helicity Theorem and Some Ap-
    plications. International Journal of Theoretical Physics, 47, 2008, p. 1919-1928 (with N.
    Bogolubov (jr.) and J. Golenia)

    80*. Introductive Backgrounds to Modern Quantum Mathematics with Application to
    Nonlinear Dynamical Systems. International Journal of Theoretical Physics, March 25, 47:
    2882-2897, 2008 (with N. Bogolubov (jr.), J. Golenia and U. Taneri)

    81. The vacuum structure, special relativity theory and quantum mechanics: a …eld
    theory no-geometry approach. The ICTP-Preprint, 2008, Trieste, Italy, (Available at: pub-
    lications.ictp.it), IC/2008/051, arXiv:0807.3691v5 [gr-qc] 29 Jul 2008 (with N. Bogolubov
    (jr.) and U. Taneri)

    82. Di¤erential-geometric foundations of nonlinear integrable dynamical systems on
    functional manifolds, (Monography), Lviv University Publisher, The Second Edition, re-
    vised and supplemented. 2006, 408 p., Lviv, Ukraine/Krakow, AGH (with O. Hentosh and
    M. Prytula)

    83. Generalized de Rham-Hodge complexes, the related characteristic Chern classes,
    and some applications to integrable multidimensional di¤erential systems on Riemannian
    manifolds. Ukrainian Mathematical Journal, v. 59, Number 3 / March, 2007

    84. Di¤erential-geometric and Lie-algebraic foundations of nonlinear dynamical systems
    on functional manifolds. The Second edition, Lviv University Publisher, Lviv, Ukraine (in
    Ukrainian)

    85. On the complete integrability and linearization of the Nonlinear Burgers-Korteweg-
    de Vries type equation (BKdV). Mathematical Methods and Physics-Mechanical Fields.
    2008, v. 51, N4, p. 57-61 (with M. Prytula and M. Vovk)

    86. Optimal strategy analysis of a competitive bank portfolio model of the share market.
    Kyiv University of Technology and Design Proceedings. N2, 2008, p. 78-88 (with B.Yu.
    Kyshakevych and I.P. Tverdokhlib)

    87. A portfolio model of the share market. Abstracts of the Scienti…c Conference "Mod-
    ern Problems of the Economical Cybernetucs Development", 9-10 April 2008, Kyiv, p.
    30-32 (with B.Yu. Kyshakevych and I.P. Tverdokhlib)

    88. Investigation of the optimal strategy analysis of a competitive bank portfolio model
    of the share market. Proceedings of the Kyiv National University "Kyiv Polytechnical
    Institute", N 2, 2008. (with B.Yu. Kyshakevych and I.P. Tverdokhlib)

    89. Analysis of solutions of a non-canonical Hamilton-Jacobi equation using the gen-
    eralized characteristics method and the Hopf-Lax representations. Nonlinear Analysis 71
    (2009), p. 5084-5089 (with Miroslaw Lustyk, Julian Janus, Marzenna Pytel-Kudela)

    90. On complete integrability and linearization of a nonlinear Burgers-Korteweg-de
    vries type equation. Mathemetatical Methods and Physico-Mechanical Fields. 2008, 51,
    N4, p. 99-102 (with M. Prytula and M. Vovk)

    91. Quantum mathematics: backgrounds and some applications to nonlinear dynamical
    systems. Nonlinear Oscillations, Springer, 11, N1, p. 7-20 (with N. Bogolubov (jr.), J.
    Goilenia and U. Taneri)

    92. The Characteristic Chern-Type Classes and Integrability of Multi-dimensional Dif-
    ferential Systems on Riemannian Manifolds. 2008, p. 743-759. In World Scienti…c book:
    http://www.worldscibooks.com/mathematics/7124.html, Proceedings of the ISAAC-2007
    Congress: "Further Progress in Analysis", Proceedings of the 6th International ISAAC
    Congress, (Ankara, Turkey 13 - 18 August 2007) (with N. Bogolubov (jr.))

    93. Introductory Background to Modern Quantum Mathematics with Application to
    Nonlinear Dynamical Systems, 2008, p. 760-780. In World Scienti…c book: http://www.
    worldscibooks.com /mathematics/7124.html, Proceedings of the ISAAC-2007 Congress:
    "Further Progress in Analysis", Proceedings of the 6th International ISAAC Congress,
    (Ankara, Turkey 13 - 18 August 2007) (with J. Golenia, N. N. Bogolubov and U. Taneri)

    94. The vacuum structure of vacuum, Maxwell equations and relativistic theory aspects.
    The ICTP-Preprint, 2008, Trieste, Italy, (Available at: publications.ictp.it), IC/2008/091,
    (with N. Bogolubov (jr))

    95. The vacuum structure, special relativity theory and quantum mechanics: a return
    to the …eld theory approach without geometry. Theoretical and Mathematical Physics,
    160(2), 2009, p. 1079-1095 (with N. Bogolubov (jr.) and U. Taneri)

    96*. The electromagnetic Lorentz condition problem and symplectic properties of
    Maxwell- and Yang-Mills-type dynamical systems. J. Phys. A: Math. Theor. 42, 2009,
    p. 165401 (with N. Bogolubov (jr.) and U. Taneri)

    97. The Lagrangian and Hamiltonian formalism for the classical relativistic electrody-
    namics models revisited. Ukr. J. Phys. 2009. Vol. 54, No. 8-9 (with N. Bogolubov (jr.))

    98. The electromagnetic Dirac-Fock-Podolsky problem and symplectic properties of the
    Maxwell and Yang-Mills type dynamical systems. The ICTP-Preprint, 2009, Trieste, Italy,
    (Available at: publications.ictp.it), IC/2009/005, (with N. Bogolubov (jr), U. Taneri and
    Y. Prykarpatsky)

    99. On the complete integrability and linearization of a Burgers-Korteweg-de Vries
    equation. Journal of Mathematical Sciences, Vol. 161, No. 1, 2009, p. 99-102 (with M. M.
    Prytula and M. I. Vovk)

    100. The algebraic structure of a linear Focker-Planck type kinetic dynamical system.
    Mathematical Bulletin of NTSh, v. 6 (2009), p. 287-293 (with U. Taneri and M. Vovk)





    More Info.
    Xiaofeng Chen
    Associate professor
    Department of Mathematics
    Chongqing Jiaotong University
    China
    xxffch@126.com
    AMP

    Xiaofeng Chen was born in 1980. He received the B.S. degree in Mathematics in 2003 and the M.S. degree in Applied Mathematics in 2006 both from Sichuan University, Chengdu, China. From July 2006 to now he is with Department of Mathematics, Chongqing Jiaotong University, Chongqing, China. His current research interest involves stability theory of complex-valued and quaternion-valued neural networks.

    Research Interest: Global μ-Stability of Neural Networks; Stability of Iterative Neural Networks; Stability of Complex-Valued Neural Networks; Stability of Quaternion-Valued Neural Networks; Multistability of Complex-Valued Neural Networks; Stability of Fractional-Order Complex-Valued Neural Networks; Robust Stability of Quaternion-Valued Neural Networks; State Estimation for Quaternion-Valued Neural Networks


    </xml> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:8.0pt; mso-para-margin-left:0cm; line-height:107%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-fareast-language:EN-US;} </style> Biography: Xiaofeng Chen was born in 1980. He received the B.S. degree in Mathematics in 2003 and the M.S. degree in Applied Mathematics in 2006 both from Sichuan University, Chengdu, China. From July 2006 to now he is with Department of Mathematics, Chongqing Jiaotong University, Chongqing, China. His current research interest involves stability theory of complex-valued and quaternion-valued neural networks.<!--[if gte mso 9]><xml> </xml><xml> Normal 0 false false false EN-IN ZH-CN X-NONE </xml><xml> </xml> <style> /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:8.0pt; mso-para-margin-left:0cm; line-height:107%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-fareast-language:EN-US;} </style> Research Interest:  Global μ-Stability of Neural Networks; Stability of Iterative Neural Networks; Stability of Complex-Valued Neural Networks; Stability of Quaternion-Valued Neural Networks; Multistability of Complex-Valued Neural Networks; Stability of Fractional-Order Complex-Valued Neural Networks; Robust Stability of Quaternion-Valued Neural Networks; State Estimation for Quaternion-Valued Neural Networks<!--[if gte mso 9]><xml> </xml><xml> Normal 0 false false false EN-IN ZH-CN X-NONE </xml><xml>
    More Info.
    SHIHAI DONG
    Professor
    CIDETEC
    Instituto Politecnico Nacional
    Mexico
    dongsh2@yahoo.com
    AMP

    Dr. Dong was born in 1969 at Dalian, China. He received his Ph.D. at Institute of High Energy Physics, Chinese Academy of Sciences, China, in 1999. After that, Dr. Dong joined the Physical Theoretical Chemistry Laboratory of University of Oxford as a Visiting Professor, Kansas State University as Postdoc Fellow, the National Autonomous University of Mexico as Visiting Professor, the Mexican Institute of Petroleum as Postdoc Fellow and Distinguished Visiting Professor, and the Superior School of Physics and Mathematics, National Polytechnic Institute (IPN) as full-time Professor through the program of excellent position, and he has a permanent position as Professor at IPN since 2007. He is the Regular Member of Mexican Academy of Sciences since 2012 and Visiting Professor at Louisiana State University in 2013. Dr. Dong was awarded the certificate by Pakistan president Mamnoon Hussain at 41th International Nathiagali Summer College in 2016. He received the maximum top prize “Presea Lazaro Cardenas” and was awarded by Mexico President Lic. Enrique Peña Nieto in President Palace in 2017.  

    Dr. Dong is SNI III since 2019 and the (Academic, Chief) Editors and Editorial Board Members of over 15 International Journals. He has authored and co-authored more than 250 papers (JCR), one book Chapter, one edited Book, two Books published by Springer. The citations are more than 8300 and H-index 55 by Google Scholar.

    Research Interest: Quantum Physics, Algebraic Method, Quantum Information

    URL: https://www.cidetec.ipn.mx/

    List of Publications:

    1.    Xiao-Yan Gu and Shi-Hai Dong, Chapter “From Bohr-Sommerfeld semiclassical quantization rule to Qiang-Dong proper quantization rule” in Horizons in Physics World, Volume 272. ISBN: 978-1-61122-906-6, Nova Science Publishers, Inc. (2012).
    2.    Shi-Hai Dong, Factorization Method in Quantum Mechanics, ISBN: 140-20-5795-4, Springer, Netherlands, 2007.
    3.    Shi-Hai Dong, Wave Equations in High Dimensions, ISBN 978-94-007-1916-3, Springer, Netherlands, 2011.
    4.    X. Y. Gu, F. Gatti, Shi-Hai Dong and J. Q. Sun
    Special Issue: Symmetry and Group Theory and Its Application to Few-Body Physics in Advances in Mathematical Physics, Hindawi Publishing Corporation 2013.
    5.    Shi-Hai Dong, Xi-Wen Hou, and Zhong-Qi Ma,
    Relativistic Levinson theorem in two dimensions, Phys. Rev. A 58, 2160 (1998).
    6.    Shi-Hai Dong, R. Lemus and A. Frank,
    Ladder operators for the Morse potential, Int. J. Quan. Chem. 86, 433 (2002).
    7.    Shi-Hai Dong , and Zhong-Qi Ma,
    Non-relativistic Levinson's theorem in D dimensions, Phys. Rev. A. 65, 042717 (2002).
    8.    X. Y. Gu, Z. Q. Ma and Shi-Hai Dong,
    The Levinson theorem for the Dirac equation in D+1 dimensions, Phys. Rev. A 67(6), 062715(2003).
    9.    Jiang Yu and Shi-Hai Dong,
    Exactly solvable potentials for the Schrödinger equation with spatially dependent mass, Phys. Lett. A 325(3-4), 194(2004).
    10.    Wen-Chao Qiang and Shi-Hai Dong,
    Radial position-momentum uncertainties for the Dirac hydrogen-like atoms, Journal of Physics A 39, 8663 (2006).
    11.    Wen-Chao Qiang and Shi-Hai Dong,
    Analytical approximations to the solutions of the Manning-Rosen potential with centrifugal term, Phys. Lett. A 368, 13 (2007).
    12.    Wen-Chao Qiang, Shi-Hai Dong,
    Proper quantization rule, EPL 89, 10003 (2010).
    13.    Gao-Feng Wei, Shi-Hai Dong,
    Pseudospin symmetry in the relativistic Manning-Rosen potential including a Pekeris-type approximation to the pseudo-centrifugal term, Physics Letters B 686, 288 (2010).
    14.    Jian Jing, Yu-Fei Zhang, Kang Wang, Zheng-Wen Long and Shi-Hai Dong,
    On the time-dependent Aharonov-Bohm effect, Physics Letters B 774, 87 (2017).
    15.    Wen-Chao Qiang, Guo-Hua Sun, Qian Dong, Shi-Hai Dong,
    Genuine multipartite concurrence for entanglement of Dirac fields in noninertial frames,
    Phys. Rev. A 98, 022320 (2018).
    16.    Ariadna J. Torres-Arenas, Qian Dong，Guo-Hua Sun, Wen-Chao Qiang, and Shi-Hai Dong,
    Entanglement measures of W-state in noninertial frames, Physics Letters B 789, 93 (2019).
    17.    Jian Jing, Ling-Bao Kong, Qing Wang, and Shi-Hai Dong,
    On the noncommutative Aharonov-Bohm effects, Phys. Lett. B. 808, 135660 (2020).
    18.    Qian Dong, H. Iván García Hernández, Guo-Hua Sun, Mohamad Toutounji, and Shi-Hai Dong,
    Exact solutions of the harmonic oscillator plus non-polynomial interaction, Proceeding of Royal Society A 476 (2241), 20200050 (2020).

    Skype ID: dongsh9

    More Info.
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    mendeley

    Unique factorization theorem for pure quantum states

    DOI Logo 10.17352/amp.000094

    Published On: September 15, 2023 | Pages: 149 - 153

    Author(s): Dhananjay P Mehendale*

    ORCID Logo  0000-0003-4524-444X

    Abstract View Full Article View
    mendeley

    Open path theory: Pattern and structure in prime numbers

    DOI Logo 10.17352/amp.000093

    Published On: August 25, 2023 | Pages: 141 - 148

    Author(s): Diego Real*

    ORCID Logo  0000-0002-1038-7021

    Abstract View Full Article View
    mendeley

    The behavior of population dispersion employing various numerical techniques

    DOI Logo 10.17352/amp.000092

    Published On: August 18, 2023 | Pages: 126 - 140

    Author(s): Imran Abbas* and Asad Ejaz
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    mendeley

    A substance with negative mass

    DOI Logo 10.17352/amp.000091

    Published On: August 16, 2023 | Pages: 119 - 125

    Author(s): BG Golovkin*

    ORCID Logo  0000-0003-3330-5989

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    mendeley

    The speed of the body at the moment of transition to a massless state is a new world constant

    DOI Logo 10.17352/amp.000090

    Published On: August 04, 2023 | Pages: 114 - 118

    Author(s): BG Golovkin*

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    mendeley

    Some fixed point results in rectangular metric spaces

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    Published On: July 19, 2023 | Pages: 108 - 113

    Author(s): Sarita Devi and Pankaj*
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    Covariance edges matrix of geometric elements

    DOI Logo 10.17352/amp.000088

    Published On: July 01, 2023 | Pages: 100 - 107

    Author(s): Florian Blachere and Houman Borouchaki*

    ORCID Logo  0000-0001-8912-3776

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    mendeley

    The conclusion of the limitless hotel problem

    DOI Logo 10.17352/amp.000086

    Published On: June 19, 2023 | Pages: 093 - 096

    Author(s): Ling Xie*
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    Comparison of the performances between the gray and non-gray media approaches of thermal transport in silicon-tin

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    Published On: June 17, 2023 | Pages: 089 - 092

    Author(s): C Iheduru*, MA Eleruja, B Olofinjana, OE Awe and ADA Buba
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    An innovative method and a medical screening device for cancer detection in real-time

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    Author(s): K Papageorgiou* and G Papageorgiou
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    Peter J Catalano
    Tufts University, USA
    Archives of Otolaryngology and Rhinology
    Dong Zhao
    China University of Political Science and Law, China
    Forensic Science Today
    Abu-Hussein Muhamad
    University of Athens , Greece
    International Journal of Oral and Craniofacial Science
    Hermis Iatrou
    University of Athens, Greece
    Open Journal of Chemistry
    Vingolo Enzo Maria
    Sapienza University of Rome, Italy
    Journal of Clinical Research and Ophthalmology
    Thomas F. George
    University of Missouri - St. Louis, USA
    Open Journal of Analytical and Bioanalytical Chemistry
    Giulio Perrotta
    Marche Polytechnic University - School of Medicine and Surgery (UNIVPM, Ancona); Istituto per lo studio delle psicoterapie (ISP, Rome) , Italy
    Open Journal of Trauma
    Arghya Narayan Banerjee
    Yeungnam University, South Korea
    International Journal of Nanomaterials, Nanotechnology and Nanomedicine
    Lianbo Yu
    Ohio State University, USA
    Open Journal of Bioinformatics and Biostatistics
    Nikolaos A Chrysanthakopoulos
    National and Kapodistrian University of Athens , Greece
    Journal of Dental Problems and Solutions

    NIH Funded Articles

    Significance of Cancer Stem Cells in Anti-Cancer Therapies Intranuclear inclusions in conventional clear cell Renal Cell Carcinoma (RCC): A case report and review of the literature Diabetic Retinopathy: Focus on Minority Populations Neural Response During a Mechanically Assisted Spinal Manipulation in an Animal Model: A Pilot Study Endothelial Progenitor Cells in Breast Cancer How Anterior Cruciate Ligament Injury was averted during Knee Collapse in a NBA Point Guard Buprenorphine Maintenance for Opioid Dependence in Public Sector Healthcare: Benefits and Barriers Hepatitis B Vaccination Rate in Patients with Diabetes: Assessment of Racial and Socioeconomic Disparity Variation among gari samples of some yellow cassava (Manihot esculenta Crantz) varieties for change in color during storage Ethnic Differences in Abstinence Self-Efficacy among Recovering Individuals

    Research Articles

    One Time Surgery in Contemporary Diseases of the Abdominal Wall and Pelvis in the Elderly
    March 30, 2016    Assessment of energy storage technologies for case studies with increased renewable energy penetration
    September 30, 2019    Magnitude and Associated Factors for Home Delivery Among Women Who Gave Birth in Last 12 Months in Ayssaita, Afar, Ethiopia-2016. A community Based Cross Sectional Study
    August 31, 2017

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