[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"_public_publisher_byId_a475049b-6dc3-4db3-835b-e75f16fb1b0f":3,"_public_publication_all{\"sortAscending\":false,\"sortField\":\"updateTime\",\"page\":0,\"size\":10,\"facet\":true,\"searchKey\":\"publisherId:a475049b-6dc3-4db3-835b-e75f16fb1b0f,\"}":92},{"code":4,"data":5,"meta":20},"SUCCESS",{"id":6,"createTime":7,"updateTime":8,"relativeEntities":9,"slug":10,"properties":11,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":22,"manageAffiliations":29,"indexDatabases":44,"url":79,"thumbnailPath":20,"statistic":80,"gsStatistic":20,"type":91,"analyzePriority":20},"a475049b-6dc3-4db3-835b-e75f16fb1b0f","2024-04-11T08:20:54.038+00:00","2025-11-21T10:00:32.228+00:00",[],"Lobachevskii-Journal-of-Mathematics",{"issn":12,"title":14,"eissn":16},{"VOID":13},"1818-9962",{"EN":15},"Lobachevskii Journal of Mathematics",{"VOID":17},"1995-0802","PUBLISHER","PENDING",null,0,[23],{"id":24,"createTime":20,"updateTime":20,"relativeEntities":25,"label":26,"description":28,"parentId":20,"standard":20,"scholarHubFieldId":20},"37634bef-3565-4ad6-b1ba-c43cf4d196be",[],{"EN":27},"Mathematics (miscellaneous)",{},[30,37],{"id":31,"createTime":20,"updateTime":20,"relativeEntities":32,"slug":20,"properties":33,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":36,"statistic":20},"7b028a3d-2127-49ec-b80f-c58503937b84",[],{"title":34},{"EN":35},"MAIK NAUKA\u002FINTERPERIODICA\u002FSPRINGER",[],{"id":38,"createTime":20,"updateTime":20,"relativeEntities":39,"slug":20,"properties":40,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":43,"statistic":20},"c2281a0a-603d-48b1-b05b-1b9a14cfbffb",[],{"title":41},{"EN":42},"Pleiades Publishing",[],[45,62],{"id":46,"indexDatabase":47,"url":57,"indexYears":58,"academicFieldIds":59,"indexDatabaseRanking":61},"e6d48c62-7628-4eff-8b37-0c72579e6e32",{"id":48,"createTime":20,"updateTime":20,"relativeEntities":49,"label":50,"description":52,"key":54,"publicationTags":55,"standard":20},"3c7051d4-eb7d-4c57-a56b-36fc74c5d1e9",[],{"EN":51,"VI":51},"Scopus - Elsevier",{"EN":51,"VI":53},"Cơ sở dữ liệu Scopus thuộc Elsevier","scopus",[56],"SCOPUS","https:\u002F\u002Fwww.scopus.com\u002Fsourceid\u002F24479","1999-2024",[60],"825d41e1-f1f9-472e-aa11-78b85d501870","SCOPUS__Q4",{"id":63,"indexDatabase":64,"url":76,"indexYears":20,"academicFieldIds":77,"indexDatabaseRanking":20},"0ca9b351-a706-4a16-b2ab-97e36438039e",{"id":65,"createTime":20,"updateTime":20,"relativeEntities":66,"label":67,"description":69,"key":72,"publicationTags":73,"standard":20},"88bab0f7-443b-476c-a72a-7fa5222da393",[],{"EN":68,"VI":68},"ISI\u002FESCI  - Emerging Sources Citation Index",{"EN":70,"VI":71},"ESCI database","Cơ sở dữ liệu ESCI","esci",[74,75],"ESCI","ISI","https:\u002F\u002Fmjl.clarivate.com\u002Fsearch-results?issn=1995-0802",[78],"a410dee4-fcd0-43bf-ac42-c2f733ee737f","https:\u002F\u002Flink.springer.com\u002Fjournal\u002F12202",{"impactFactor":21,"impactFactorByYear":81,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":82,"totalPublicationByYear":83,"totalCitation":21,"totalCitationByYear":89,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":90,"hindexLast5Year":21,"hindex":21},{},26,{"2008":84,"2010":84,"2011":84,"2018":85,"2019":86,"2020":87,"2021":87,"2022":88,"2023":85},1,2,6,4,5,{},{},"JOURNAL",{"meta":93,"data":95},{"total":94},"1683",[96,212,324,459,548,631,756,856,957,1045],{"id":97,"createTime":98,"updateTime":99,"relativeEntities":100,"slug":101,"properties":102,"entityType":114,"verifyStatus":115,"verifyTime":116,"verifyNote":117,"languages":20,"translateLanguages":118,"viewCount":21,"primaryUrl":120,"fullTextUrl":20,"authors":121,"publicationType":164,"publisherRelationship":165,"citationCount":20,"citationInfo":20,"publishDate":208,"publishYear":209,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":210,"openAccess":20,"references":20,"isForceReanalyzing":211},"21606955-c2da-41d9-8d5f-581cd7e83ea6","2024-04-06T17:04:44.440+00:00","2026-09-07T10:16:38.467+00:00",[],"Confidence-Intervals-of-the-Inverse-of-Coefficient-of-Variation-of-Delta-Gamma-Distribution",{"abstract":103,"title":105,"keywords":108,"references":110,"doi":112},{"EN":104},"The inverse of the coefficient of variation (ICV), otherwise known as the signal to-noise ratio, is the ratio of the population standard deviation to the population mean. It has often been used in the fields of finance and image processing, among others. In this study, various methods were applied to estimate the confidence intervals (CIs) for the difference between and the ratio of the ICVs of two delta-gamma distributions. The fiducial quantity method, Bayesian CI estimates based on the Jeffreys, uniform, or normal-gamma-beta (NGB) prior, and highest posterior density (HPD) intervals based on the Jeffreys, uniform, or NGB priors were used in this endeavor. A Monte Carlo simulation study was conducted to assess the performances of the proposed CI estimation methods in terms of their coverage probabilities and average lengths. The results indicate that the HPD interval based on the NGB prior or the Jeffreys prior performed well for a small probability of the samples containing zero observations (\n                  \n                    \n                  \n                  $$\\delta$$\n                  \n                ) whereas the fiducial quantity method performed well for large values of \n                  \n                    \n                  \n                  $$\\delta$$\n                  \n                . Furthermore, we demonstrate the practicability of the proposed methods using rainfall data from Lampang province, Thailand.",{"EN":106,"VI":107},"Confidence Intervals of the Inverse of Coefficient of Variation of Delta-Gamma Distribution","Các khoảng tin cậy của nghịch đảo hệ số biến thiên cho phân phối Delta-Gamma",{"EN":109},"",{"VOID":111},"G. Casella and R. L. Berger, Statistical Inference, 2nd ed. (Cengage Learning, US, 2001).\nT. Holgersson, P. Karlsson, and R. Mansoor, ‘‘Estimating mean-standard deviation ratios of financial data,’’ J. Appl. Stat. 39, 657–671 (2013).\nA. N. Albatineh, B. M. G. Kibria, and B. Zogheib, ‘‘Asymptotic sampling distribution of inverse coefficient of variation and its applications,’’ J. Adv. Stat. Probab. 2, 15–20 (2014).\nA. N. Albatineh, I. Boubakari, and B. M. G. Kibria, ‘‘New confidence interval estimator of the signal to noise ratio based on asymptotic sampling distribution,’’ Commun. Stat. Theory Methods 46, 574–590 (2017).\nF. George and B. M. G. Kibria, ‘‘Confidence intervals for estimating the population signal to noise ratio: A simulation study,’’ J. Appl. Stat. 39, 1225–1240 (2012).\nK. K. Sharma and H. Krishna, ‘‘Asymptotic sampling distribution of inverse coefficient of variation and its applications,’’ IEEE Trans. Reliab. 43, 630–633 (1994).\nS. Niwitpong, ‘‘Confidence intervals for functions of signal-to-noise ratios of normal distributions,’’ Studies Comput. Intell. 760, 255–265 (2018).\nL. Saothayanun and W. Thangjai, ‘‘Confidence intervals for the signal to noise ratio of two-parameter exponential distribution,’’ IEEE Trans. Reliab. 43, 630–633 (2018).\nW. Thangjai and S. Niwitpong, ‘‘Confidence intervals for the signal-to-noise ratio and difference of signal-to-noise ratios of gamma distributions,’’ Adv. Appl. Math. Sci. 18, 503–520 (2019).\nW. Thangjai and S. Niwitpong, ‘‘Confidence intervals for the signal-to-noise ratio and difference of signal-to-noise ratios of lognormal distribution,’’ Stats 2, 164–173 (2019).\nW. Thangjai and S. Niwitpong, ‘‘Confidence intervals for common signal-to-noise ratio of several log-normal distributions,’’ Iran. J. Sci. Technol. Trans., A: Sci. 44, 99–107 (2020).\nW. Thangjai and S. Niwitpong, ‘‘Confidence intervals for difference of signal-to-noise ratios of two-parameter exponential distributions,’’ Int. J. Stat. Appl. Math. 5 (3), 47–54 (2020).\nX. Wang, C. Zou, L. Yi, J. Wang, and X. Li, ‘‘Fiducial inference for gamma distributions: Two-sample problems,’’ Commun. Stat. – Simul. Comput. 50, 811–821 (2019).\nJ. Aitchison, ‘‘On the distribution of a positive random variable having a discrete probability mass at the origin,’’ J. Am. Stat. Assoc. 50 (271), 901 (1955).\nJ. Aitchison and J. A. C. Brown, The Lognormal Distribution: With Special Reference to its Uses in Economics (Cambridge University Press, London, UK, 1963).\nN. Yosboonruang, S. A. Niwitpong, and S. Niwitpong, ‘‘Measuring the dispersion of rainfall using Bayesian confidence intervals for coefficient of variation of delta-lognormal distribution: A study from Thailand,’’ PeerJ 7, e7344 (2019).\nP. Maneerat, S. A. Niwitpong, and S. Niwitpong, ‘‘Bayesian approach to construct confidence intervals for comparing the rainfall dispersion in Thailand,’’ PeerJ 8, e8502 (2020).\nP. Maneerat, S. A. Niwitpong, and S. Niwitpong, ‘‘Bayesian confidence intervals for the difference between variances of delta-lognormal distributions,’’ Biometr. J. 62, 1769–1790 (2020).\nP. Maneerat, S. A. Niwitpong, and S. Niwitpong, ‘‘Estimating the average daily rainfall in Thailand using confidence intervals for the common mean of several delta-lognormal distributions,’’ PeerJ 9, e10758 (2021).\nP. Maneerat, S. A. Niwitpong, and S. Niwitpong, ‘‘Bayesian confidence intervals for variance of delta-lognorma distribution with an application to rainfall dispersion,’’ Stat. Interface 14, 229–241 (2021).\nQ. Zhang, J. Xu, J. Zhao, H. Liang, and X. Li, ‘‘Simultaneous confidence intervals for ratios of means of zero-inflated log-normal populations,’’ J. Stat. Comput. Simul. 92, 1113–1132 (2022).\nP. Ren, G. Lui, and X. Pu, ‘‘Simultaneous confidence intervals for mean differences of multiple zero-inflated gamma distributions with applications to precipitation,’’ Commun. Stat. – Simul. Comput. 52, 4705 (2021).\nK. Muralidharan and B. K. Kale, ‘‘Modified gamma distributions with singularity at zero,’’ Commun. Stat. – Simul. Comput. 31, 143–158 (2002).\nJ. B. Lecomte, H. P. Benot, S. Ancelet, M. P. Etienne, L. Bel, and E. Parent, ‘‘Compound Poisson-gamma vs. delta-gamma to handle zero-inflated continuous data under a variable sampling volume,’’ Methods Ecol. Evol. 4, 1159–1166 (2013).\nT. Kaewprasert, S. A. Niwitpong, and S. Niwitpong, ‘‘Bayesian estimation for the mean of delta-gamma distributions with application to rainfall data in Thailand,’’ PeerJ 10, 1–27 (2022).\nW. Khooriphan, S. A. Niwitpong, and S. Niwitpong, ‘‘Bayesian estimation of rainfall dispersion in Thailand using gamma distribution with excess zeros,’’ PeerJ 10, e14023 (2022).\nP. Sangnawakij and S. A. Niwitpong, ‘‘Confidence intervals for functions of coefficients of variation with bounded parameter spaces in two gamma distributions,’’ Songklanakarin J. Sci. Technol. 39, 27–39 (2017).\nK. Krishnamoorthy and X. Wang, ‘‘Fiducial confidence limits and prediction limits for a gamma distribution: Censored and uncensored cases,’’ Environmetrics 27, 479–493 (2016).\nX. Li, X. Zhou, and L. Tian, ‘‘Interval estimation for the mean of lognormal data with excess zeros,’’ Stat. Probab. Lett. 83, 2447–2453 (2013).\nW. M. Bolstad and J. M. Curran, Introduction to Bayesian Statistics, 3rd ed. (Wiley, Hoboken, 2016).\nH. Jeffreys, Theory of Probability (Oxford Univ. Press, UK, 1961).\nT. A. Kalkur and A. Rao, ‘‘Bayes estimator for coefficient of variation and inverse coefficient of variation for the normal distribution,’’ Int. J. Stat. Syst. 12, 721–732 (2017).",{"VOID":113},"10.1134\u002FS1995080223110227","PUBLICATION","VERIFIED","2024-12-22T09:41:06.227+00:00","Auto Verify",[119],"VI","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080223110227",[122,138,151],{"id":123,"sortIndex":21,"researcher":20,"roles":124,"affiliations":126,"properties":135,"displayName":137,"givenName":20,"familyName":20},"d8a43520-55d2-4156-9f7c-5a5e8683f22d",[125],"AUTHOR",[127],{"id":128,"sortIndex":21,"affiliation":129,"properties":20},"ba3532de-1579-46b0-b0bf-afad2d1e31e5",{"id":128,"createTime":20,"updateTime":20,"relativeEntities":130,"slug":20,"properties":131,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":134,"statistic":20},[],{"title":132},{"EN":133},"Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand",[],{"title":136},{"VI":137},"Wansiri Khooriphan",{"id":139,"sortIndex":84,"researcher":20,"roles":140,"affiliations":141,"properties":148,"displayName":150,"givenName":20,"familyName":20},"90b47bc3-976f-454f-9921-b384a6fbc603",[125],[142],{"id":128,"sortIndex":21,"affiliation":143,"properties":20},{"id":128,"createTime":20,"updateTime":20,"relativeEntities":144,"slug":20,"properties":145,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":147,"statistic":20},[],{"title":146},{"EN":133},[],{"title":149},{"VI":150},"Sa-Aat Niwitpong",{"id":152,"sortIndex":85,"researcher":20,"roles":153,"affiliations":154,"properties":161,"displayName":163,"givenName":20,"familyName":20},"fe51edb1-3601-4594-8df6-84f6c34139a5",[125],[155],{"id":128,"sortIndex":21,"affiliation":156,"properties":20},{"id":128,"createTime":20,"updateTime":20,"relativeEntities":157,"slug":20,"properties":158,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":160,"statistic":20},[],{"title":159},{"EN":133},[],{"title":162},{"VI":163},"Suparat Niwitpong","ARTICLE",{"url":20,"publisher":166,"properties":20},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":167,"slug":10,"properties":168,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":172,"manageAffiliations":177,"indexDatabases":188,"url":79,"thumbnailPath":20,"statistic":203,"gsStatistic":20,"type":91,"analyzePriority":20},[],{"issn":169,"title":170,"eissn":171},{"VOID":13},{"EN":15},{"VOID":17},[173],{"id":24,"createTime":20,"updateTime":20,"relativeEntities":174,"label":175,"description":176,"parentId":20,"standard":20,"scholarHubFieldId":20},[],{"EN":27},{},[178,183],{"id":31,"createTime":20,"updateTime":20,"relativeEntities":179,"slug":20,"properties":180,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":182,"statistic":20},[],{"title":181},{"EN":35},[],{"id":38,"createTime":20,"updateTime":20,"relativeEntities":184,"slug":20,"properties":185,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":187,"statistic":20},[],{"title":186},{"EN":42},[],[189,196],{"id":46,"indexDatabase":190,"url":57,"indexYears":58,"academicFieldIds":195,"indexDatabaseRanking":61},{"id":48,"createTime":20,"updateTime":20,"relativeEntities":191,"label":192,"description":193,"key":54,"publicationTags":194,"standard":20},[],{"EN":51,"VI":51},{"EN":51,"VI":53},[56],[60],{"id":63,"indexDatabase":197,"url":76,"indexYears":20,"academicFieldIds":202,"indexDatabaseRanking":20},{"id":65,"createTime":20,"updateTime":20,"relativeEntities":198,"label":199,"description":200,"key":72,"publicationTags":201,"standard":20},[],{"EN":68,"VI":68},{"EN":70,"VI":71},[74,75],[78],{"impactFactor":21,"impactFactorByYear":204,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":82,"totalPublicationByYear":205,"totalCitation":21,"totalCitationByYear":206,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":207,"hindexLast5Year":21,"hindex":21},{},{"2008":84,"2010":84,"2011":84,"2018":85,"2019":86,"2020":87,"2021":87,"2022":88,"2023":85},{},{},"2024-03-14",2024,[61,74],false,{"id":213,"createTime":214,"updateTime":215,"relativeEntities":216,"slug":217,"properties":218,"entityType":114,"verifyStatus":115,"verifyTime":228,"verifyNote":117,"languages":20,"translateLanguages":229,"viewCount":21,"primaryUrl":230,"fullTextUrl":20,"authors":231,"publicationType":164,"publisherRelationship":273,"citationCount":20,"citationInfo":20,"publishDate":321,"publishYear":322,"citationAnalyzeStatus":19,"lastCitationAnalyze":20,"indexDatabases":323,"openAccess":20,"references":20,"isForceReanalyzing":211},"b78e1622-ccec-4a06-b10a-fd655130c065","2023-12-12T06:15:42.554+00:00","2026-09-06T13:13:42.885+00:00",[],"Common-Digital-Space-of-Scientific-Knowledge-Ontology-Structurization",{"abstract":219,"title":221,"references":224,"doi":226},{"EN":220},"The paper proposes the unified ontology structure model of the Common Digital Space of Scientific Knowledge (CDSSK). The CDSSK is a digital information structure aggregating heterogeneous information related to various aspects of scientific knowledge and acting as an integrator of national information systems with subject-specific scientific information systems, digital libraries, registers, etc. CDSSK provides data support in a structure that complies with the semantic Web rules and can be considered as an information basis for solving artificial intelligence problems. The CDSSK distinctive feature is the polythematic and heterogeneity of content elements with the ability to navigate through it’s space resources using semantic relations between them. Within the proposed model framework, a hierarchical structuring of the CDSSK ontology is carried out. Such elements as ‘‘subspace,’’ ‘‘class of objects,’’ ‘‘object,’’ ‘‘attributes of an object,’’ three types of pairwise relations of objects and attributes (universal, quasi-universal and specific) are distinguished and defined. Each structure of elements type is determined by a ‘‘reference book’’ of a unified type; specific values of attributes and relationships are contained in dictionaries of a unified structure. A class of ‘‘Formats’’ objects describing the rules for the formation of attributes and the relationships values is allocated. The proposed formalization of the CDSSK elements representations allows to simply add new types of objects, their pairwise attribute relationships, to the space, as needed.",{"EN":222,"VI":223},"Common Digital Space of Scientific Knowledge Ontology Structurization","Cấu trúc hóa ontology của Không gian số chung về tri thức khoa học",{"VOID":225},"A. Antopol’skiy, N. Kalenov, V. Serebryakov, and A. Sotnikov, ‘‘Common digital space of scientific knowledge,’’ Vestn. Ross. Akad. Nauk 89, 728–735 (2019).\nG. Savin, ‘‘Common digital space of scientific knowledge: Goals and tasks,’’ Inform. Resur. Ross. 5, 3–5 (2020).\nA. Antopol’skiy, A. Bosov, N. Kalenov, G. Savin, V. Serebryakov, A. Sotnikov, V. Tsvetkova, and D. Yefremenko, ‘‘The principles of construction and structure of a Unified Digital Space of Scientific Knowledge (UDSSK),’’ Nauch.-Tekh. Inform., Ser. 1 4, 9–17 (2020).\nN. Kalenov and A. Sotnikov, ‘‘The architecture of the common digital space of scientific knowledge,’’ Inform. Resur. Ross. 5, 5–8 (2020).\nO. Ataeva, N. Kalenov, and V. Serebryakov, ‘‘Ontological approach to the description of a common digital space of scientific knowledge,’’ Elektron. Bibliot. 24 (1), 3–19 (2021).\nN. Kalenov and V. Serebryakov, ‘‘Ontology of the common digital space of scientific knowledge,’’ Inform. Resur. Ross. 5, 10–12 (2020).\nSystem Reference. W3C Recommendation August 18, 2009. https:\u002F\u002Fwww.w3.org\u002FTR\u002Fskos-reference\u002F. Accessed 2023.\nhttps:\u002F\u002Fwww.w3.org\u002FOWL\u002F. Accessed 2023.\nM. L. Zeng and Ph. Mayr, ‘‘Knowledge Organization Systems (KOS) in the semantic web: A multi-dimensional review,’’ Int. J. Digit. Libr. 20, 209–230 (2019).\nM. Cristina, A. Provo, and H. Thorsen, ‘‘Ontology building for Linked Open Data: A pragmatic perspective,’’ J. Libr. Metadata 15, 265–294 (2015).\nV. Cagdas and E. Stubkjær, ‘‘A SKOS vocabulary for Linked land administration: Cadastre and land administration thesaurus,’’ Land Use Policy 49, 668–679 (2015)\nN. Kalenov, I. Sobolevskaya, and A. Sotnikov, ‘‘Using the capabilities of the common digital space of scientific knowledge for educational purposes,’’ in Proceedings of the 23rd Conference on Scientific Services and Internet, CEUR Workshop Proc. 3066, 164–172 (2021).\nBenjamin Zapilko, J. Schaible, Ph. Mayr, and B. Mathiak, ‘‘TheSoz: A SKOS representation of the thesaurus for the social sciences,’’ Semantic Web J. 4, 257–263 (2013).\nhttps:\u002F\u002Fgroups.google.com\u002Fforum\u002F#!forum\u002Fgettyvocablod. Accessed 2023.\nDescription Framework (RDF): Concepts and Abstract Syntax. https:\u002F\u002Fclck.ru\u002FgwVBC. Accessed 2023.\nThe Digital Library ’Scientific Heritage of Russia’. http:\u002F\u002Fheritage1.jscc.ru. Accessed 2023.",{"VOID":227},"10.1134\u002FS1995080223070235","2025-02-19T19:34:35.069+00:00",[119],"https:\u002F\u002Flink.springer.com\u002F10.1134\u002FS1995080223070235",[232,247,260],{"id":233,"sortIndex":21,"researcher":20,"roles":234,"affiliations":235,"properties":244,"displayName":246,"givenName":20,"familyName":20},"53d4906c-ae5e-4701-b20d-beb46bcc4c4f",[125],[236],{"id":237,"sortIndex":21,"affiliation":238,"properties":20},"b4dd15a4-b56c-4a3f-a144-f046f7a73657",{"id":237,"createTime":20,"updateTime":20,"relativeEntities":239,"slug":20,"properties":240,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":243,"statistic":20},[],{"title":241},{"VI":242},"Joint SuperComputer Center of the Russian Academy of Sciences—Branch of Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow, Russia",[],{"title":245},{"VI":246},"N. E. Kalenov",{"id":248,"sortIndex":84,"researcher":20,"roles":249,"affiliations":250,"properties":257,"displayName":259,"givenName":20,"familyName":20},"e2d4684c-2035-4aa8-92fe-de64c5377c69",[125],[251],{"id":237,"sortIndex":21,"affiliation":252,"properties":20},{"id":237,"createTime":20,"updateTime":20,"relativeEntities":253,"slug":20,"properties":254,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":256,"statistic":20},[],{"title":255},{"VI":242},[],{"title":258},{"VI":259},"I. N. Sobolevskaya",{"id":261,"sortIndex":85,"researcher":20,"roles":262,"affiliations":263,"properties":270,"displayName":272,"givenName":20,"familyName":20},"258305bc-865b-434c-bdd5-8a3aa3df0165",[125],[264],{"id":237,"sortIndex":21,"affiliation":265,"properties":20},{"id":237,"createTime":20,"updateTime":20,"relativeEntities":266,"slug":20,"properties":267,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":269,"statistic":20},[],{"title":268},{"VI":242},[],{"title":271},{"VI":272},"A. N. 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Its basic mathematical properties were explored and a general expression for its ordinary factorial moments, moment generating function, dispersion index, coefficient of variation, skewness, and kurtosis. The proposed distribution is over-dispersed since its mean is less than the variance. This feature opens a new opportunity to model over-dispersed count datasets. The maximum likelihood approach is used for the estimation of the unknown parameter of the proposed model. Three real-life datasets are used to show the applicability of the new distribution. Additionally, the count regression model based on the Poisson–NXLindley distribution is introduced. The new model efficiently analyzed considered datasets than the competitive one-parameter discrete distribution.",{"EN":334,"VI":335},"A New Generalization of Poisson Distribution for Over-dispersed, Count Data: Mathematical Properties, Regression Model and Applications","Dạng tổng quát hóa mới của phân phối Poisson cho dữ liệu đếm thừa tán xạ: Các tính chất toán học, mô hình hồi quy và ứng dụng",{"VOID":337},"M. Ahsan-ul-Haq, ‘‘On Poisson moment exponential distribution with applications,’’ Ann. Data Sci. (2022).\nM. Ahsan-ul-Haq, A. Al-Bossly, M. El-Morshedy, and M. S. Eliwa, ‘‘Poisson XLindley distribution for count data: Statistical and reliability properties with estimation techniques and inference,’’ Comput. Intell. Neurosci. 2022, 6503670-1–16 (2022).\nE. Altun, G. M. Cordeiro, and M. M. Ristić, ‘‘An one-parameter compounding discrete distribution,’’ J. Appl. Stat. 49, 1935–1956 (2022).\nG. Beall, ‘‘The fit and significance of contagious distributions when applied to observations on larval insects,’’ Ecology 21, 460–474 (1940).\nR. Grine and H. Zeghdoudi, ‘On Poisson quasi-lindley distribution and its applications,’’ J. Mod. Appl. Stat. Methods 16, 403–417 (2017).\nE. Mahmoudi and H. Zakerzadeh, ‘‘Generalized Poisson–Lindley distribution,’’ Commun. Stat. Methods 39, 1785–1798 (2010).\nM. Sankaran, ‘‘The discrete Poisson–Lindley distribution,’’ Biometrics 26, 145–149 (1970).\nR. Shanker, ‘‘The discrete Poisson-Sujatha distribution,’’ Int. J. Probab. Stat. 5, 1–9 (2016).\nR. Shanker and K. K. Shukla, ‘‘Size-biased Poisson–Garima distribution with applications,’’ Biometr. Biostat. Int. J. 6, 335 (2017).\nH. Zeghdoudi and S. Nedjar, ‘‘On Poisson pseudo Lindley distribution: Properties and applications,’’ J. Probab. Stat. Sci. 15, 19–28 (2017).\nA. Beghriche, H. Zeghdoudi, V. Raman, and S. Chouia, ‘‘New polynomial exponential distribution: Properties and applications,’’ Stat. Trans., New Ser. 23 (3), 95–112 (2022).",{"VOID":339},"10.1134\u002FS1995080223090378","2024-12-23T02:19:16.895+00:00",[119],"https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080223090378",[344,368,383,396],{"id":345,"sortIndex":21,"researcher":20,"roles":346,"affiliations":347,"properties":365,"displayName":367,"givenName":20,"familyName":20},"b0ce4bb3-d798-4291-b415-b33ab1ccb268",[125],[348,356],{"id":349,"sortIndex":21,"affiliation":350,"properties":20},"5cf860bf-9374-4a6c-bc2a-f41a3623363d",{"id":349,"createTime":20,"updateTime":20,"relativeEntities":351,"slug":20,"properties":352,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":355,"statistic":20},[],{"title":353},{"VI":354},"Higher Normal School of Technological Education, Skikda, Algeria",[],{"id":357,"sortIndex":84,"affiliation":358,"properties":364},"e75771f1-5026-4cfd-bcb0-a1a2d38a9b51",{"id":357,"createTime":20,"updateTime":20,"relativeEntities":359,"slug":20,"properties":360,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":363,"statistic":20},[],{"title":361},{"VI":362},"LaPS Laboratory, Badji Mokhtar-Annaba University, Annaba, Algeria",[],{},{"title":366},{"VI":367},"F. Z. Seghier",{"id":369,"sortIndex":84,"researcher":20,"roles":370,"affiliations":371,"properties":380,"displayName":382,"givenName":20,"familyName":20},"9ca82c5f-e989-49ae-87f3-d57a36f8f923",[125],[372],{"id":373,"sortIndex":21,"affiliation":374,"properties":20},"a2b4a192-c27a-47fe-8e71-c04243664f69",{"id":373,"createTime":20,"updateTime":20,"relativeEntities":375,"slug":20,"properties":376,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":379,"statistic":20},[],{"title":377},{"VI":378},"College of Statistical Sciences, University of the Punjab, Lahore, Pakistan",[],{"title":381},{"VI":382},"M. Ahsan-ul-Haq",{"id":384,"sortIndex":85,"researcher":20,"roles":385,"affiliations":386,"properties":393,"displayName":395,"givenName":20,"familyName":20},"965b6202-5a19-42cd-927f-515079430f11",[125],[387],{"id":357,"sortIndex":21,"affiliation":388,"properties":20},{"id":357,"createTime":20,"updateTime":20,"relativeEntities":389,"slug":20,"properties":390,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":392,"statistic":20},[],{"title":391},{"VI":362},[],{"title":394},{"VI":395},"H. 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These invariants can be used for classification of the finite metric spaces, their recognition and in the research of Tammes’ problem for sphere.",{"EN":469},"Special Metric Invariants",{"VOID":471},"[\"6342268033727156335\"]",{"VOID":473},"E. N. Sosov, “Main metric invariants of finite metric spaces. II,” Russ. Math. 60 (6), 75–78 (2016).\nE. N. Sosov, “Relative N-radius of a bounded subset of a metric space,” Uch. Zap. Kazan. Univ., Ser. Fiz.- Mat. Nauki 153 (4), 28–36 (2011).\nD. Yu. Burago, Yu. D. Burago, and S. V. Ivanov, Course of Metric Geometry (Inst. Komp. Issled., Moscow, Izhevsk, 2004) [in Russian].\nE. N. Sosov, “Main metric invariants of finite metric spaces,” Russ. Math. 59 (5), 38–40 (2015).\nA. O. Ivanov, I. M. Nikonov, and A. A. Tuzhilin, “Sets admitting connection by graphs of finite length,” Sb.: Math. 196, 845–884 (2005).\nO. R. Musin and A. S. Tarasov, “Extremal problems of circle packings on a sphere and irreducible contact graphs,” Proc. Steklov Inst.Math. 288, 117–131 (2015).",{"VOID":475},"10.1134\u002FS1995080218020269","2024-06-26T21:07:50.900+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080218020269",[479],{"id":480,"sortIndex":21,"researcher":20,"roles":481,"affiliations":482,"properties":491,"displayName":493,"givenName":20,"familyName":20},"7990d044-b6e0-450e-a38c-ca78f35ab148",[125],[483],{"id":484,"sortIndex":21,"affiliation":485,"properties":20},"2159fc69-7121-497f-8d60-91e1f6ab5647",{"id":484,"createTime":20,"updateTime":20,"relativeEntities":486,"slug":20,"properties":487,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":490,"statistic":20},[],{"title":488},{"VI":489},"N. I. Lobachevsky Institute ofMathematics and Mechanics, Kazan (Volga region) Federal University, Kazan, Tatarstan, Russia",[],{"title":492,"gsAuthor":494},{"VI":493},"E. N. Sosov",{"VOID":495},"[\"Q0DoyQ8AAAAJ\"]",{"url":477,"publisher":497,"properties":539},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":498,"slug":10,"properties":499,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":503,"manageAffiliations":508,"indexDatabases":519,"url":79,"thumbnailPath":20,"statistic":534,"gsStatistic":20,"type":91,"analyzePriority":20},[],{"issn":500,"title":501,"eissn":502},{"VOID":13},{"EN":15},{"VOID":17},[504],{"id":24,"createTime":20,"updateTime":20,"relativeEntities":505,"label":506,"description":507,"parentId":20,"standard":20,"scholarHubFieldId":20},[],{"EN":27},{},[509,514],{"id":31,"createTime":20,"updateTime":20,"relativeEntities":510,"slug":20,"properties":511,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":513,"statistic":20},[],{"title":512},{"EN":35},[],{"id":38,"createTime":20,"updateTime":20,"relativeEntities":515,"slug":20,"properties":516,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":518,"statistic":20},[],{"title":517},{"EN":42},[],[520,527],{"id":46,"indexDatabase":521,"url":57,"indexYears":58,"academicFieldIds":526,"indexDatabaseRanking":61},{"id":48,"createTime":20,"updateTime":20,"relativeEntities":522,"label":523,"description":524,"key":54,"publicationTags":525,"standard":20},[],{"EN":51,"VI":51},{"EN":51,"VI":53},[56],[60],{"id":63,"indexDatabase":528,"url":76,"indexYears":20,"academicFieldIds":533,"indexDatabaseRanking":20},{"id":65,"createTime":20,"updateTime":20,"relativeEntities":529,"label":530,"description":531,"key":72,"publicationTags":532,"standard":20},[],{"EN":68,"VI":68},{"EN":70,"VI":71},[74,75],[78],{"impactFactor":21,"impactFactorByYear":535,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":82,"totalPublicationByYear":536,"totalCitation":21,"totalCitationByYear":537,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":538,"hindexLast5Year":21,"hindex":21},{},{"2008":84,"2010":84,"2011":84,"2018":85,"2019":86,"2020":87,"2021":87,"2022":88,"2023":85},{},{},{"pages":540,"volume":542},{"VOID":541},"286-288",{"VOID":543},"39","2018-03-21",2018,"2026-07-30T19:55:13.712+00:00",[61,74],{"id":549,"createTime":550,"updateTime":551,"relativeEntities":552,"slug":553,"properties":554,"entityType":114,"verifyStatus":115,"verifyTime":566,"verifyNote":117,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":567,"fullTextUrl":20,"authors":568,"publicationType":164,"publisherRelationship":584,"citationCount":20,"citationInfo":20,"publishDate":627,"publishYear":322,"citationAnalyzeStatus":628,"lastCitationAnalyze":629,"indexDatabases":630,"openAccess":20,"references":20,"isForceReanalyzing":211},"5be27bed-ddb7-4d28-80bc-836463d11c28","2024-04-09T02:13:40.124+00:00","2026-07-29T04:17:40.315+00:00",[],"Diffusion-Process-for-the-Domain-Source",{"abstract":555,"title":557,"gsPaper":559,"keywords":561,"references":562,"doi":564},{"EN":556},"We consider the results of three computing experiments of Poincare balayage and concentration of densities for expanding the 3D mesh domain. Interpretation the distribution of densities for determination the domain-source for system of encapsulated 3D grid domains executed.",{"EN":558},"Diffusion Process for the Domain-Source",{"VOID":560},"[\"8731121477839087956\"]",{"EN":109},{"VOID":563},"N. N. Bogolubov, V. I. Arnold, and I. B. Pogrebisskii, Henry Poincare. Selected Works (Nauka, Moscow, 1974), Vol. 3 [in Russian].\nH. Poincare, ‘‘Sur les equation aux derives partielles de la physique mathematique,’’ Am. J. Math., No. 4, 211–294 (1890).\nD. P. Zidarov, About Solution Some Inverse Problems for Potential Fields and it Use for Geophysical Problems (BAS, Sofia, 1980).\nV. N. Strakhov, ‘‘For theory of plane problems of gravimetry and magnetometry—’analitical universe’ is generated by Poincare balayage,’’ Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 2, 47–73 (1978).\nV. G. Filatov, ‘‘Soluting direct problem and inverse problem of gravimetry for two contact bounderies by balayage, concentration and non-linear programming,’’ Izv. Akad. Nauk SSSR, Fiz. Zemli, No. 5, 93–98 (1980).\nY. V. Glasko, ‘‘The inverse problem of interpretation of gravitational and magnetic anomalies of hydrocarbon deposits,’’ J. Appl. Ind. Math. 14, 46–55 (2020).\nM. M. Lavrentiev, V. I. Starostenko, V. G. Filatov, V. M. Megeria, A. M. Lobanov, M. L. Ovsepian, Y. V. Glasko, et al., Application Regularization in Gravity and Magnetic Prospection for Search of Hydrocarbon Deposits (RSGRU, Moscow, 2010) [in Russian].\nL. I. Rubinshtein, The Stefan Problem (Znaigane, Riga, 1967; Am. Math. Soc., Providence, 1971).\nA. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1966; Courier, New York, 2013).\nN. L. Gol’dman, Inverse Stefan Problems (Kluwer Academic, Dordrecht, 1997).\nS. K. Godunov, Equations of Mathematical Physics (Nauka, Moscow, 1979) [in Russian].\nA. G. Sveshnikov, A. N. Bogolubov, and V. V. Kravtsov, Lections on Mathematical Physics (MGU, Moscow, 1993) [in Russian].\nG. I. Marchuk, Methods of Numerical Mathematics (Nauka, Moscow, 1987; Springer, New York, 1982).\nG. A. Galperin, Many-Dimentional Cube (MTsNMO, Moscow, 2015) [in Russian].\nM. M. Lavrentiev, V. G. Romanov, and S. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis, Translations of Mathematical Monographs (Nauka, Moscow, 1980; Am. Math. Soc., Providence, 1986).\nA. G. Yagola, Y. Wang, and I. E. Stepanova, Inverse Problems in Geophysics and Solution Methods (BINOM, Moscow, 2014; Higher Education Press, Beijing, 2011).\nY. P. Pitiev and I. A. Shishmarev, Probability Theory and Mathematical Statistics (MGU, Moscow, 1983) [in Russian].\nA. A. Samarskii, Finite Difference Methods: Theory and Applications (Nauka, Moscow, 1989; Nova Science, 1999).\nA. N. Tikhonov, A. S. Leonov, and A. G. Yagola, Non-Linear Ill-Posed Problems (Chapman and Hall, London, 1998).\nA. G. Yagola and K. Yu. Dorofeev, ‘‘Sourcewise representation and a posteriori error estimates for ill-posed problems,’’ in Fields Institute Communications: Operator Theory and Its Applications, Ed. by A. G. Ramm, P. N. Shivakumar, and A. V. Strauss (Am. Math. Soc., Providence, RI, 2000), Vol. 25, pp. 543–550.",{"VOID":565},"10.1134\u002FS1995080223080176","2024-05-13T10:18:13.841+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080223080176",[569],{"id":570,"sortIndex":21,"researcher":20,"roles":571,"affiliations":572,"properties":581,"displayName":583,"givenName":20,"familyName":20},"9cdd4dc2-56b4-4fae-a8eb-e3f8fc494f11",[125],[573],{"id":574,"sortIndex":21,"affiliation":575,"properties":20},"c07407c6-1c59-43d6-b4d7-fa1bf5599fc8",{"id":574,"createTime":20,"updateTime":20,"relativeEntities":576,"slug":20,"properties":577,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":580,"statistic":20},[],{"title":578},{"VI":579},"Research Computing Center, Moscow State University, Moscow, Russia",[],{"title":582},{"VI":583},"Y. V. Glasko",{"url":20,"publisher":585,"properties":20},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":586,"slug":10,"properties":587,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":591,"manageAffiliations":596,"indexDatabases":607,"url":79,"thumbnailPath":20,"statistic":622,"gsStatistic":20,"type":91,"analyzePriority":20},[],{"issn":588,"title":589,"eissn":590},{"VOID":13},{"EN":15},{"VOID":17},[592],{"id":24,"createTime":20,"updateTime":20,"relativeEntities":593,"label":594,"description":595,"parentId":20,"standard":20,"scholarHubFieldId":20},[],{"EN":27},{},[597,602],{"id":31,"createTime":20,"updateTime":20,"relativeEntities":598,"slug":20,"properties":599,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":601,"statistic":20},[],{"title":600},{"EN":35},[],{"id":38,"createTime":20,"updateTime":20,"relativeEntities":603,"slug":20,"properties":604,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":606,"statistic":20},[],{"title":605},{"EN":42},[],[608,615],{"id":46,"indexDatabase":609,"url":57,"indexYears":58,"academicFieldIds":614,"indexDatabaseRanking":61},{"id":48,"createTime":20,"updateTime":20,"relativeEntities":610,"label":611,"description":612,"key":54,"publicationTags":613,"standard":20},[],{"EN":51,"VI":51},{"EN":51,"VI":53},[56],[60],{"id":63,"indexDatabase":616,"url":76,"indexYears":20,"academicFieldIds":621,"indexDatabaseRanking":20},{"id":65,"createTime":20,"updateTime":20,"relativeEntities":617,"label":618,"description":619,"key":72,"publicationTags":620,"standard":20},[],{"EN":68,"VI":68},{"EN":70,"VI":71},[74,75],[78],{"impactFactor":21,"impactFactorByYear":623,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":82,"totalPublicationByYear":624,"totalCitation":21,"totalCitationByYear":625,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":626,"hindexLast5Year":21,"hindex":21},{},{"2008":84,"2010":84,"2011":84,"2018":85,"2019":86,"2020":87,"2021":87,"2022":88,"2023":85},{},{},"2023-11-28","DONE_ANALYZE_CITATION","2026-07-29T04:17:40.314+00:00",[61,74],{"id":632,"createTime":633,"updateTime":634,"relativeEntities":635,"slug":636,"properties":637,"entityType":114,"verifyStatus":115,"verifyTime":648,"verifyNote":117,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":649,"fullTextUrl":20,"authors":650,"publicationType":164,"publisherRelationship":700,"citationCount":748,"citationInfo":749,"publishDate":752,"publishYear":750,"citationAnalyzeStatus":753,"lastCitationAnalyze":754,"indexDatabases":755,"openAccess":20,"references":20,"isForceReanalyzing":211},"e4c0594e-6b64-47b5-8112-ded8a18c1fcd","2024-01-05T12:31:37.605+00:00","2026-07-25T06:04:36.590+00:00",[],"On-Solvability-of-a-Poincare-Tricomi-Type-Problem-for-an-Elliptic-Hyperbolic-Equation-of-the-Second-Kind",{"abstract":638,"title":640,"gsPaper":642,"references":644,"doi":646},{"EN":639},"In this paper we study a boundary value problem with the\nPoincare–Tricomi condition for a degenerate partial differential\nequation of elliptic-hyperbolic type of the second kind. In the\nhyperbolic part of a degenerate mixed differential equation of the\nsecond kind the line of degeneracy is a characteristic. For this\ntype of differential equations a class of generalized solutions is\nintroduced in the characteristic triangle. Using the properties of\ngeneralized solutions, the modified Cauchy and Dirichlet problems\nare studied. The solutions of these problems are found in the\nconvenient form for further investigations. A new method has been\ndeveloped for a differential equation of mixed type of the second\nkind, based on energy integrals. Using this method, the uniqueness\nof the considering problem is proved. The existence of a solution\nof the considering problem reduces to investigation of a singular\nintegral equation and the unique solvability of this problem is\nproved by the Carleman–Vekua regularization method.",{"EN":641},"On Solvability of a Poincare–Tricomi Type Problem for an Elliptic–Hyperbolic Equation of the Second Kind",{"VOID":643},"[\"7858033770385097133\"]",{"VOID":645},"F. I. Frankl, Selected Works on Gas Dynamics (Nauka, Moscow, 1973) [in Russian].\nI. N. Vekua, Generalized Analytic Functions (Fizmatgiz, Moscow, 1959) [in Russian].\nE. I. Moiseev and M. Mogimi, ‘‘On the completeness of eigenfunctions of the Neumann–Tricomi problem for a degenerate equation of mixed type,’’ Differ. Equat. 41, 1789–1791 (2005).\nE. I. Moiseev and M. Mogimi, ‘‘On the completeness of eigenfunctions of the Tricomi problem for a degenerate equation of mixed type,’’ Differ. Equat. 41, 1462–1466 (2005).\nE. I. Moiseev, T. E. Moiseev, and A. A. Kholomeeva, ‘‘On the non-uniqueness of the solution of the inner Neumann-Hellerstedt problem for the Lavrent’ev–Bitsadze equation,’’ Sib. Zh. Chist. Prikl. Mat. 17 (3), 52–57 (2017).\nA. B. Okboeb, ‘‘Tricomy problem for second kind parabolic-hyperbolic type equation,’’ Lobachevskii J. Math. 41, 58–70 (2020).\nO. A. Repin and S. K. Kumykova, ‘‘A nonlocal problem for degenerate hyperbolic equation,’’ Russ. Math. (Iz. VUZ) 61 (7), 43–48 (2017).\nK. B. Sabitov, ‘‘On the theory of the Frankl problem for equations of mixed type,’’ Russ. Math. (Iz. VUZ) 81 (1), 99–136 (2017).\nK. B. Sabitov and V. A. Novikova, ‘‘Nonlocal A. A. Dezin’s problem for Lavrent’ev–Bitsadze equation,’’ Russ. Math. (Iz. VUZ) 60 (6), 52–62 (2016).\nK. B. Sabitov and I. A. Khadzhi, ‘‘The boundary-value problem for the Lavrent’ev-Bitsadze equation with unknown right-hand side,’’ Russ. Math. (Iz. VUZ) 55 (5), 35–42 (2011).\nM. S. Salakhitdinov and B. Islomov, ‘‘Boundary value problems for an equation of mixed type with two inner lines of degeneracy,’’ Dokl. Math. 43, 235–238 (1991).\nM. S. Salakhitdinov and M. Mirsaburov, ‘‘The Bitsadze-Samarskii problem for a class of degenerate hyperbolic equations,’’ Differ. Equat. 38), 288–293 (2002).\nM. S. Salakhitdinov and A. K. Urinov, ‘‘Eigenvalue problems for a mixed-type equation with two singular coefficients,’’ Sib. Math. J. 48, 707–717 (2007).\nM. S. Salakhitdinov and M. Mirsaburov, ‘‘A problem with a nonlocal boundary condition on the characteristic for a class of equations of mixed type,’’ Math. Notes 86, 704–715 (2009).\nM. S. Salakhitdinov and B. I. Islomov, ‘‘A nonlocal boundary-value problem with conormal derivative for a mixed-type equation with two inner degeneration lines and various orders of degeneracy,’’ Russ. Math. (Iz. VUZ) 55 (1), 42–49 (2011).\nM. S. Salakhitdinov and N. B. Islamov, ‘‘Nonlocal boundary-value problem with Bitsadze–Samarskii condition for equation of parabolic-hyperbolic type of the second kind,’’ Russ. Math. (Iz. VUZ) 59 (6), 34–42 (2015).\nF. G. Tricomi, Lezioni sulle equazioni a derivate parziali (Gheroni, Torino, 1954).\nA. V. Bitsadze, Some Classes of Partial Differential Equations (Nauka, Moscow, 1981) [in Russian].\nM. M. Smirnov, Equations of a Mixed Type (Nauka, Moscow, 1970) [in Russian].\nI. L. Karol, ‘‘On a boundary value problem for an equation of mixed elliptic-hyperbolic type,’’ Dokl. Akad. Nauk SSSR 88, 197–200 (1953).\nN. K. Mamadaliev, ‘‘On representation of solution of the modified Cauchy problem,’’ Sib. Math. J. 41, 889–899 (2000).\nS. A. Tersenov, ‘‘On the theory of hyperbolic equations with data on lines of degeneration type,’’ Sib. Mat. Zh. 2, 931–935 (1961).\nS. S. Isamuhamedov and Zh. Oromov, ‘‘On boundary value problems for a mixed type equation of the second kind with a nonsmooth line of degeneration,’’ Differ. Uravn. 18, 324–334 (1982).\nN. K. Mamadaliev, ‘‘Tricomi problem for strongly degenerate equations of parabolic-hyperbolic type,’’ Math Notes 66, 310–315 (1999).\nR. S. Khairullin, The Tricomi Problem for an Equation of the Second Kind with Strong Degeneracy (Kazan. Gos. Univ., Kazan, 2015) [in Russian].\nM. S. Salakhitdinov and N. B. Islamov, ‘‘A nonlocal boundary-value problem with the Bitsadze–Samarskii conditon for a parabolic-hyperbolic equation of the second kind,’’ Russ. Math. (Iz. VUZ) 59 (6), 34–42 (2015).\nK. B. Sabitov and I. P. Egorova, ‘‘On the correctness of boundary value problems with periodicity conditions for an equation of mixed type of the second kind,’’ Vestn. Samar. Tekh. Univ., Ser. Fiz.-Mat. Nauki 23, 430–451 (2019).\nA. M. Nakhushev, ‘‘Loaded equations and their applications,’’ Differ. Uravn. 19, 86–94 (1983).\nA. A. Samarsky, ‘‘On some problems of the theory of differential equations,’’ Differ. Uravn. 16, 1925–1935 (1980).\nM. S. Salakhitdinov and T. G. Ergashev, ‘‘Integral representation of a generalized solution of the Cauchy problem in the class for one equation of hyperbolic type of the second kind,’’ Uzb. Mat. Zh., No. 1, 67–75 (1995).\nK. B. Sabitov and A. K. Suleimanova, ‘‘The Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain,’’ Russ. Math. (Iz. VUZ) 51 (4), 42–50 (2007).\nK. B. Sabitov and A. K. Suleimanova, ‘‘The Dirichlet problem for a mixed-type equation with characteristic degeneration in a rectangular domain,’’ Russ. Math. (Iz. VUZ) 53 (11), 37–45 (2009).\nT. K. Yuldashev, ‘‘Nonlocal inverse problem for a pseudohyperbolic-pseudoelliptic type integro-differential equations,’’ Axioms 9 (2), 45-1–21 (2020).\nT. K. Yuldashev and B. J. Kadirkulov, ‘‘Boundary value problem for weak nonlinear partial differential equations of mixed type with fractional Hilfer operator,’’ Axioms 9 (2), 68-1–19 (2020).\nB. I. Islomov and A. A. Abdullayev, ‘‘On a problem for an elliptic type equation of the second kind with a conormal and integral condition,’’ J. Nanosyst.: Phys. Chem. Math. 9, 307–318 (2018).\nM. S. Salakhitdinov and A. A. Abdullaev, ‘‘Nonlocal boundary value problem for a mixed type equation of the second kind,’’ Dokl. Akad. Nauk Uzb., No. 1, 3–5 (2013).\nM. M. Smirnov, Equations of a Mixed Type (Vysshaya Shkola, Moscow, 1985) [in Russian].\nN. I. Muskhelishvili, Singular Integral Equations (Nauka, Moscow, 1968).",{"VOID":647},"10.1134\u002FS1995080221030239","2024-06-24T06:44:57.498+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080221030239",[651,668,683],{"id":652,"sortIndex":21,"researcher":20,"roles":653,"affiliations":654,"properties":663,"displayName":665,"givenName":20,"familyName":20},"e41d5089-0f34-4237-8bac-a6f7e80560f5",[125],[655],{"id":656,"sortIndex":21,"affiliation":657,"properties":20},"38eef8ec-b074-4338-bc78-c210f578778f",{"id":656,"createTime":20,"updateTime":20,"relativeEntities":658,"slug":20,"properties":659,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":662,"statistic":20},[],{"title":660},{"VI":661},"Uzbek–Israel Joint Faculty of High Technology and Engineering Mathematics, National University of Uzbekistan, Tashkent, Uzbekistan",[],{"title":664,"gsAuthor":666},{"VI":665},"T. K. Yuldashev",{"VOID":667},"[\"vHuIZnAAAAAJ\"]",{"id":669,"sortIndex":84,"researcher":20,"roles":670,"affiliations":671,"properties":680,"displayName":682,"givenName":20,"familyName":20},"5f42e688-d6b9-4827-a0a0-b51367d301bf",[125],[672],{"id":673,"sortIndex":21,"affiliation":674,"properties":20},"3f8a12e8-c0d6-4c81-8477-69d379db4d10",{"id":673,"createTime":20,"updateTime":20,"relativeEntities":675,"slug":20,"properties":676,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":679,"statistic":20},[],{"title":677},{"VI":678},"Department of Differential Equations and Mathematical Physics, National University of Uzbekistan, Tashkent, Uzbekistan",[],{"title":681},{"VI":682},"B. I. Islomov",{"id":684,"sortIndex":85,"researcher":20,"roles":685,"affiliations":686,"properties":695,"displayName":697,"givenName":20,"familyName":20},"2100d0da-4dc9-49a7-ba98-90a4f0426902",[125],[687],{"id":688,"sortIndex":21,"affiliation":689,"properties":20},"c47e831a-9b24-4118-b4b9-f6f11a4502db",{"id":688,"createTime":20,"updateTime":20,"relativeEntities":690,"slug":20,"properties":691,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":694,"statistic":20},[],{"title":692},{"VI":693},"Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan",[],{"title":696,"gsAuthor":698},{"VI":697},"A. A. Abdullaev",{"VOID":699},"[\"u6yJY4AAAAAJ\"]",{"url":649,"publisher":701,"properties":743},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":702,"slug":10,"properties":703,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":707,"manageAffiliations":712,"indexDatabases":723,"url":79,"thumbnailPath":20,"statistic":738,"gsStatistic":20,"type":91,"analyzePriority":20},[],{"issn":704,"title":705,"eissn":706},{"VOID":13},{"EN":15},{"VOID":17},[708],{"id":24,"createTime":20,"updateTime":20,"relativeEntities":709,"label":710,"description":711,"parentId":20,"standard":20,"scholarHubFieldId":20},[],{"EN":27},{},[713,718],{"id":31,"createTime":20,"updateTime":20,"relativeEntities":714,"slug":20,"properties":715,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":717,"statistic":20},[],{"title":716},{"EN":35},[],{"id":38,"createTime":20,"updateTime":20,"relativeEntities":719,"slug":20,"properties":720,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":722,"statistic":20},[],{"title":721},{"EN":42},[],[724,731],{"id":46,"indexDatabase":725,"url":57,"indexYears":58,"academicFieldIds":730,"indexDatabaseRanking":61},{"id":48,"createTime":20,"updateTime":20,"relativeEntities":726,"label":727,"description":728,"key":54,"publicationTags":729,"standard":20},[],{"EN":51,"VI":51},{"EN":51,"VI":53},[56],[60],{"id":63,"indexDatabase":732,"url":76,"indexYears":20,"academicFieldIds":737,"indexDatabaseRanking":20},{"id":65,"createTime":20,"updateTime":20,"relativeEntities":733,"label":734,"description":735,"key":72,"publicationTags":736,"standard":20},[],{"EN":68,"VI":68},{"EN":70,"VI":71},[74,75],[78],{"impactFactor":21,"impactFactorByYear":739,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":82,"totalPublicationByYear":740,"totalCitation":21,"totalCitationByYear":741,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":742,"hindexLast5Year":21,"hindex":21},{},{"2008":84,"2010":84,"2011":84,"2018":85,"2019":86,"2020":87,"2021":87,"2022":88,"2023":85},{},{},{"pages":744,"volume":746},{"VOID":745},"663-675",{"VOID":747},"42",47,{"total":748,"publishYear":750,"statisticByYear":751},2021,{},"2021-05-06","ERROR_IN_ANALYZE_CITATION","2026-07-25T06:04:36.585+00:00",[61,74],{"id":757,"createTime":758,"updateTime":759,"relativeEntities":760,"slug":761,"properties":762,"entityType":114,"verifyStatus":115,"verifyTime":773,"verifyNote":117,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":774,"fullTextUrl":20,"authors":775,"publicationType":164,"publisherRelationship":804,"citationCount":20,"citationInfo":20,"publishDate":852,"publishYear":853,"citationAnalyzeStatus":628,"lastCitationAnalyze":854,"indexDatabases":855,"openAccess":20,"references":20,"isForceReanalyzing":211},"2c4f2756-0fff-48c6-8165-a1c90c498a72","2023-12-22T23:47:33.315+00:00","2026-07-23T23:42:18.445+00:00",[],"On-Wielandt-type-inequalities-for-powers-of-complex-matrices",{"abstract":763,"title":765,"gsPaper":767,"references":769,"doi":771},{"EN":764},"The criterion for coincidence of spectral radiuses of a complex matrix A and of the matrix |A| obtained by replacing entries of A by their absolute values was given by Wielandt. In this paper we give the new criterion for the above coincidence.",{"EN":766},"On Wielandt type inequalities for powers of complex matrices",{"VOID":768},"[\"7938170228265090044\"]",{"VOID":770},"F. R. Gantmacher, The Theory of Matrices, Vol. 2 (AMS Chelsea Publishing, Providence, 2000).\nH. Shneider, “Wielandt’s proof of the exponent inequality for primitive nonnegative matrices,” Linear Algebra Appl. 353 (1), 5–10 (2002).\nR. Horn and Ch. R. Johnson, Matrix Analysis (Cambridge University Press, London, 2013).\nS. Schwarz, “On a sharp estimation in the theory of binary relations on a finite set,” Czech. Math. J. 20 (4), 703–714 (1970).\nYu. A. Al’pin and S.N. Il’in, “Powers of sign portraits of real matrices,” J. of Math. Sci. 121 (4), 2441–2447 (2004).",{"VOID":772},"10.1134\u002FS1995080216060093","2024-08-30T20:04:54.977+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080216060093",[776,791],{"id":777,"sortIndex":21,"researcher":20,"roles":778,"affiliations":779,"properties":788,"displayName":790,"givenName":20,"familyName":20},"844b7246-12d3-4039-ae2b-f70fa8799612",[125],[780],{"id":781,"sortIndex":21,"affiliation":782,"properties":20},"4fa6ac16-f969-4bdc-bd38-824666c59b8c",{"id":781,"createTime":20,"updateTime":20,"relativeEntities":783,"slug":20,"properties":784,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":787,"statistic":20},[],{"title":785},{"VI":786},"N.I. Lobachevskii Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Tatarstan, Russia",[],{"title":789},{"VI":790},"Yu. A. Al’pin",{"id":792,"sortIndex":84,"researcher":20,"roles":793,"affiliations":794,"properties":801,"displayName":803,"givenName":20,"familyName":20},"ea89877c-a1cb-4697-b436-13c4409f4c80",[125],[795],{"id":781,"sortIndex":21,"affiliation":796,"properties":20},{"id":781,"createTime":20,"updateTime":20,"relativeEntities":797,"slug":20,"properties":798,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":800,"statistic":20},[],{"title":799},{"VI":786},[],{"title":802},{"VI":803},"S. N. Il’in",{"url":774,"publisher":805,"properties":847},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":806,"slug":10,"properties":807,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":811,"manageAffiliations":816,"indexDatabases":827,"url":79,"thumbnailPath":20,"statistic":842,"gsStatistic":20,"type":91,"analyzePriority":20},[],{"issn":808,"title":809,"eissn":810},{"VOID":13},{"EN":15},{"VOID":17},[812],{"id":24,"createTime":20,"updateTime":20,"relativeEntities":813,"label":814,"description":815,"parentId":20,"standard":20,"scholarHubFieldId":20},[],{"EN":27},{},[817,822],{"id":31,"createTime":20,"updateTime":20,"relativeEntities":818,"slug":20,"properties":819,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":821,"statistic":20},[],{"title":820},{"EN":35},[],{"id":38,"createTime":20,"updateTime":20,"relativeEntities":823,"slug":20,"properties":824,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":826,"statistic":20},[],{"title":825},{"EN":42},[],[828,835],{"id":46,"indexDatabase":829,"url":57,"indexYears":58,"academicFieldIds":834,"indexDatabaseRanking":61},{"id":48,"createTime":20,"updateTime":20,"relativeEntities":830,"label":831,"description":832,"key":54,"publicationTags":833,"standard":20},[],{"EN":51,"VI":51},{"EN":51,"VI":53},[56],[60],{"id":63,"indexDatabase":836,"url":76,"indexYears":20,"academicFieldIds":841,"indexDatabaseRanking":20},{"id":65,"createTime":20,"updateTime":20,"relativeEntities":837,"label":838,"description":839,"key":72,"publicationTags":840,"standard":20},[],{"EN":68,"VI":68},{"EN":70,"VI":71},[74,75],[78],{"impactFactor":21,"impactFactorByYear":843,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":82,"totalPublicationByYear":844,"totalCitation":21,"totalCitationByYear":845,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":846,"hindexLast5Year":21,"hindex":21},{},{"2008":84,"2010":84,"2011":84,"2018":85,"2019":86,"2020":87,"2021":87,"2022":88,"2023":85},{},{},{"pages":848,"volume":850},{"VOID":849},"749-752",{"VOID":851},"37","2016-11-13",2016,"2026-07-23T23:42:18.444+00:00",[61,74],{"id":857,"createTime":858,"updateTime":859,"relativeEntities":860,"slug":861,"properties":862,"entityType":114,"verifyStatus":115,"verifyTime":873,"verifyNote":117,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":874,"fullTextUrl":20,"authors":875,"publicationType":164,"publisherRelationship":904,"citationCount":21,"citationInfo":951,"publishDate":954,"publishYear":952,"citationAnalyzeStatus":628,"lastCitationAnalyze":955,"indexDatabases":956,"openAccess":20,"references":20,"isForceReanalyzing":211},"5360a5e5-2bef-43df-8159-d4424b10b207","2024-01-25T04:12:05.217+00:00","2026-07-23T17:47:50.057+00:00",[],"Community-Detection-for-Weighted-Networks-with-Unknown-Number-of-Communities",{"abstract":863,"title":865,"gsPaper":867,"references":869,"doi":871},{"EN":864},"In this paper, we propose a community detection approach for\nweighted networks by combining the infinite Gaussian mixture model\nand spectral method. The spectral method provides the embeddings\nof nodes in a low-dimensional space. Keeping the uncertainty about\nthe number of communities, we instead adapt the recently developed\nBayesian nonparametric techniques to Gaussian mixture model for\nclustering embeddings. It reduces the risk of erroneous clustering\nassignments when inferring the number of communities and nodes’\nmemberships simultaneously. The theoretical properties about the\nposterior contraction rate is established under the model\nmisspecification. The modeling framework can be easily modified\nto other types of networks, such as correlation networks and\nattributed networks. The simulation studies and benchmark data\nanalysis show that the proposed approach outperforms other\ncomparison methods, demonstrating the consistency of the estimator\nfor the number of communities.",{"EN":866},"Community Detection for Weighted Networks with Unknown Number of Communities",{"VOID":868},"[\"16204749435054372729\"]",{"VOID":870},"E. Estrada and P. A. Knight, A First Course in Network Theory (Oxford Univ. Press, USA, 2015).\nU. von Luxburg, ‘‘A tutorial on spectral clustering,’’ Stat. Comput. 17, 395–416 (2007).\nS. Zhang, R. S. Wang, and X. S. Zhang, ‘‘Identification of overlapping community structure in complex networks using fuzzy c-means clustering,’’ Phys. A (Amsterdam, Neth.) 374, 483–490 (2007).\nK. Rohe, S. Chatterjee, B. Yu, et al., ‘‘Spectral clustering and the high-dimensional stochastic blockmodel,’’ Ann. Stat. 39, 1878–1915 (2011).\nM. E. J. Newman and M. Girvan, ‘‘Finding and evaluating community structure in networks,’’ Phys. Rev. E 69, 026113 (2004).\nM. E. J. Newman, ‘‘Analysis of weighted networks,’’ Phys. Rev. E 70, 056131 (2004).\nF. Wang, T. Li, X. Wang, S. Zhu, and C. Ding, ‘‘Community discovery using nonnegative matrix factorization,’’ Data Mining Knowledge Discov. 22, 493–521 (2011).\nI. Psorakis, S. Roberts, M. Ebden, and B. Sheldon, ‘‘Overlapping community detection using bayesian non-negative matrix factorization,’’ Phys. Rev. E 83, 066114 (2011).\nE. Abbe, ‘‘Community detection and stochastic block models: Recent developments,’’ J. Mach. Learning Res. 18, 6446–6531 (2017).\nM. A. Javed, M. S. Younis, S. Latif, J. Qadir, and A. Baig, ‘‘Community detection in networks: A multidisciplinary review,’’ J. Network Comput. Appl. 108, 87–111 (2018).\nA. Lancichinetti and S. Fortunato, ‘‘Community detection algorithms: A comparative analysis,’’ Phys. Rev. E 80, 056117 (2009).\nS. Fortunato and D. Hric, ‘‘Community detection in networks: A user guide,’’ Phys. Rep. 659, 1–44 (2016).\nA. Barrat, M. Barthelemy, et al., ‘‘The architecture of complex weighted networks,’’ Proc. Natl. Acad. Sci. 101, 3747–3752 (2004).\nB. Klimt and Y. Yang, ‘‘The enron corpus: A new dataset for email classification research,’’ in Proceedings of the European Conference on Machine Learning (Springer, 2004), pp. 217–226.\nC. Aicher, A. Z. Jacobs, and A. Clauset, ‘‘Learning latent block structure in weighted networks,’’ J. Complex Networks 3, 221–248 (2015).\nT. P. Peixoto, ‘‘Nonparametric weighted stochastic block models,’’ Phys. Rev. E 97, 012306 (2018).\nP. Cui, X. Wang, J. Pei, and W. Zhu, ‘‘A survey on network embedding,’’ IEEE Trans. Knowledge Data Eng. 31, 833–852 (2018).\nH. Cai, V. W. Zheng, and K. C. C. Chang, ‘‘A comprehensive survey of graph embedding: Problems, techniques, and applications,’’ IEEE Trans. Knowledge Data Eng. 30, 1616–1637 (2018).\nP. D. Hoff, A. E. Raftery, and M. S. Handcock, ‘‘Latent space approaches to social network analysis,’’ J. Am. Stat. Assoc. 97 (460), 1090–1098 (2002).\nC. Kemp, J. B. Tenenbaum, T. L. Griffiths, T. Yamada, and N. Ueda, ‘‘Learning systems of concepts with an infinite relational model,’’ AAAI (2006).\nJ. W. Miller and M. T. Harrison, ‘‘Mixture models with a prior on the number of components,’’ J. Am. Stat. Assoc. 113 (521), 340–356 (2018).\nE. M. Airoldi, D. M. Blei, S. E. Fienberg, and E. P. Xing, ‘‘Mixed membership stochastic blockmodels,’’ J. Machine Learn. Res. 9, 1981–2014 (2008).\nP. Latouche, E. Birmelé, C. Ambroise, et al., ‘‘Overlapping stochastic block models with application to the french political blogosphere,’’ Ann. Appl. Stat. 5, 309–336 (2011).\nC. E. Antoniak, ‘‘Mixtures of dirichlet processes with applications to Bayesian nonparametric problems,’’ Ann. Stat., 1152–1174 (1974).\nR. M. Neal, ‘‘Markov chain sampling methods for Dirichlet process mixture models,’’ J. Comput. Graph. Stat. 9, 249–265 (2000).\nJ. Pitman, ‘‘Exchangeable and partially exchangeable random partitions,’’ Probab. Theory Relat. Fields 102, 145–158 (1995).\nD. Blackwell, J. B. MacQueen, et al., ‘‘Ferguson distributions via pólya urn schemes,’’ Ann. Stat. 1, 353–355 (1973).\nD. Görür and C. E. Rasmussen, ‘‘Dirichlet process gaussian mixture models: Choice of the base distribution,’’ J. Comput. Sci. Technol. 25, 653–664 (2010).\nW. R. Gilks and P. Wild, ‘‘Adaptive rejection sampling for gibbs sampling,’’ J. R. Stat. Soc., Ser. C: Appl. Stat. 41, 337–348 (1992).\nA. Guha, N. Ho, and X. L. Nguyen, ‘‘On posterior contraction of parameters and interpretability in bayesian mixture modeling,’’ arXiv: 1901.05078 (2019).\nB. J. K. Kleijn, A. W. van der Vaart, et al., ‘‘Misspecification in infinite-dimensional bayesian statistics,’’ Ann. Stat. 34, 837–877 (2006).\nM. Zhou, ‘‘Infinite edge partition models for overlapping community detection and link prediction,’’ in Proceedings of the International Conference on Artificial Intelligence and Statistics, PMLR, 2015, pp. 1135–1143.\nT. O. Kvalseth, ‘‘Entropy and correlation: Some comments,’’ IEEE Trans. Syst. Man Cybern. 17, 517–519 (1987).",{"VOID":872},"10.1134\u002FS1995080222010127","2024-06-25T05:35:30.485+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080222010127",[876,891],{"id":877,"sortIndex":21,"researcher":20,"roles":878,"affiliations":879,"properties":888,"displayName":890,"givenName":20,"familyName":20},"59aed4cb-1d9c-456a-9dca-6e1f3b9484d2",[125],[880],{"id":881,"sortIndex":21,"affiliation":882,"properties":20},"3c0d8492-37df-408f-9e00-8edffe6a5963",{"id":881,"createTime":20,"updateTime":20,"relativeEntities":883,"slug":20,"properties":884,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":887,"statistic":20},[],{"title":885},{"VI":886},"School of Data Science, University of Science and Technology of China, Hefei, P. R. China",[],{"title":889},{"VI":890},"Hao Liang",{"id":892,"sortIndex":84,"researcher":20,"roles":893,"affiliations":894,"properties":901,"displayName":903,"givenName":20,"familyName":20},"1f052f3d-6d8e-4fde-9446-b9224ac5d81f",[125],[895],{"id":881,"sortIndex":21,"affiliation":896,"properties":20},{"id":881,"createTime":20,"updateTime":20,"relativeEntities":897,"slug":20,"properties":898,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":900,"statistic":20},[],{"title":899},{"VI":886},[],{"title":902},{"VI":903},"Weiping Zhang",{"url":874,"publisher":905,"properties":947},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":906,"slug":10,"properties":907,"entityType":18,"verifyStatus":19,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":21,"subjectFields":911,"manageAffiliations":916,"indexDatabases":927,"url":79,"thumbnailPath":20,"statistic":942,"gsStatistic":20,"type":91,"analyzePriority":20},[],{"issn":908,"title":909,"eissn":910},{"VOID":13},{"EN":15},{"VOID":17},[912],{"id":24,"createTime":20,"updateTime":20,"relativeEntities":913,"label":914,"description":915,"parentId":20,"standard":20,"scholarHubFieldId":20},[],{"EN":27},{},[917,922],{"id":31,"createTime":20,"updateTime":20,"relativeEntities":918,"slug":20,"properties":919,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":921,"statistic":20},[],{"title":920},{"EN":35},[],{"id":38,"createTime":20,"updateTime":20,"relativeEntities":923,"slug":20,"properties":924,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":926,"statistic":20},[],{"title":925},{"EN":42},[],[928,935],{"id":46,"indexDatabase":929,"url":57,"indexYears":58,"academicFieldIds":934,"indexDatabaseRanking":61},{"id":48,"createTime":20,"updateTime":20,"relativeEntities":930,"label":931,"description":932,"key":54,"publicationTags":933,"standard":20},[],{"EN":51,"VI":51},{"EN":51,"VI":53},[56],[60],{"id":63,"indexDatabase":936,"url":76,"indexYears":20,"academicFieldIds":941,"indexDatabaseRanking":20},{"id":65,"createTime":20,"updateTime":20,"relativeEntities":937,"label":938,"description":939,"key":72,"publicationTags":940,"standard":20},[],{"EN":68,"VI":68},{"EN":70,"VI":71},[74,75],[78],{"impactFactor":21,"impactFactorByYear":943,"i10Index":21,"i10IndexLast5Year":21,"totalPublication":82,"totalPublicationByYear":944,"totalCitation":21,"totalCitationByYear":945,"totalCitationPerPublication":21,"totalCitationPerPublicationByYear":946,"hindexLast5Year":21,"hindex":21},{},{"2008":84,"2010":84,"2011":84,"2018":85,"2019":86,"2020":87,"2021":87,"2022":88,"2023":85},{},{},{"pages":948,"volume":950},{"VOID":949},"3158-3172",{"VOID":747},{"total":21,"publishYear":952,"statisticByYear":953},2022,{},"2022-03-28","2026-07-23T17:47:50.056+00:00",[61,74],{"id":958,"createTime":959,"updateTime":960,"relativeEntities":961,"slug":962,"properties":963,"entityType":114,"verifyStatus":115,"verifyTime":974,"verifyNote":117,"languages":20,"translateLanguages":20,"viewCount":21,"primaryUrl":975,"fullTextUrl":20,"authors":976,"publicationType":164,"publisherRelationship":992,"citationCount":20,"citationInfo":20,"publishDate":1040,"publishYear":1041,"citationAnalyzeStatus":1042,"lastCitationAnalyze":1043,"indexDatabases":1044,"openAccess":20,"references":20,"isForceReanalyzing":211},"dabba147-1e41-4e96-815c-ac7eb758314b","2023-12-19T07:48:54.182+00:00","2026-07-22T16:57:32.345+00:00",[],"Spline-interpolation-solution-of-3D-von-Neumann-problem",{"abstract":964,"title":966,"gsPaper":968,"references":970,"doi":972},{"EN":965},"We present the spline-interpolation approximate solution of the von Neumann problem for the Laplace equation in one class of solids. Our method is based on reduction of the 3D problem to the sequence of 2D problems.",{"EN":967},"Spline-interpolation solution of 3D von Neumann problem",{"VOID":969},"[]",{"VOID":971},"G. E. Backus, The Quarterly Journal of Mechanics and Applied Mathematics 21(2), 195 (1968).\nJ. A. Cottrell, T. J. R. Hughes, Y. Bazilevs, Isogeometric Analysis: Toward Integration of CAD and FEA (Wiley, 2009).\nR. Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Pearson, Southern Methodist University, 2013).\nDinh Nho Ho and D. Lesnic, IMA Journal of Applied Mathematics 65(2), 199 (2000).\nJ. B. Keller, SIAM Review 21(2), 229 (1979).\nZ. Lu, Lobachevskii Journal of Mathematics 32(1), 1 (2011).\nI. B. Neiman, Journal of Mining Science 22(6), 1062 (1986).\nI. I. Privalov and B.M. Pchelin, C.R. Acad. Sci. Paris 204, 328 (1937).\nE. A. Shirokova and P. N. Ivanshin, Spline-Interpolation Solution of One Elasticity Theory Problem (Bentham Science E-books, 2011).\nP. N. Ivanshin and E. A. Shirokova, Spline-interpolation solution of 3D Dirichlet problem for a certain class of solids, IMA Journal of Applied Mathematics (2012); doi: 10.1093\u002Fimamat\u002Fhxs009\nV. S. Vladimirov, Equations of mathematical physics (1984) (Translated from Russian).\nL. Wengui, Scientia Sinica (Series A) XXIX(2), 165 (1986).\nT. Zaltzman and Z. Yosibash, Numerical Methods for Partial Differential Equations 27(3), 662 (2009).\nO. C. Zienkiewicz and L. R. Taylor, The finite element method (Butterworth-Heinemann, 2000).",{"VOID":973},"10.1134\u002FS1995080212040105","2024-06-25T16:54:51.713+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080212040105",[977],{"id":978,"sortIndex":21,"researcher":20,"roles":979,"affiliations":980,"properties":989,"displayName":991,"givenName":20,"familyName":20},"cabb8a25-19af-400d-92d3-39e666d05448",[125],[981],{"id":982,"sortIndex":21,"affiliation":983,"properties":20},"bf3210c0-0fd0-4377-897a-5f9d5f7b68fb",{"id":982,"createTime":20,"updateTime":20,"relativeEntities":984,"slug":20,"properties":985,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":988,"statistic":20},[],{"title":986},{"EN":987},"Physics Institute, Kazan Federal University, Kazan, Russia",[],{"title":990},{"VI":991},"P. N. 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This construction generalizes proper families of functions over Abelian groups introduced by Nosov and Pankratiev. We also show that all quasigroups generated by the original construction contain at least one subquasigroup, while the generalized construction generates quasigroups free of subquasigroups.",{"EN":1055},"Latin Squares over Quasigroups",{"VOID":1057},"[\"17657011869224706672\"]",{"EN":109},{"VOID":1060},"10.1134\u002FS1995080220020079","2024-06-25T19:01:28.436+00:00",[1063],"EN","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1134\u002FS1995080220020079",[1066,1085,1100],{"id":1067,"sortIndex":21,"researcher":20,"roles":1068,"affiliations":1069,"properties":1078,"displayName":1082,"givenName":20,"familyName":20},"e65ace80-6ad5-4d0d-85d0-ce677a61bc88",[],[1070],{"id":1071,"sortIndex":21,"affiliation":1072,"properties":20},"15d57507-cf53-4ae5-870c-eb944a356678",{"id":1071,"createTime":20,"updateTime":20,"relativeEntities":1073,"slug":20,"properties":1074,"entityType":20,"verifyStatus":20,"verifyTime":20,"verifyNote":20,"languages":20,"translateLanguages":20,"viewCount":20,"url":20,"parentIds":1077,"statistic":20},[],{"title":1075},{"VI":1076},"Lomonosov Moscow State University, Moscow, Russia",[],{"email":1079,"title":1081,"gsAuthor":1083},{"VOID":1080},"agalat@msu.ru",{"EN":1082},"A. 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