{"id":"https://openalex.org/W2338107462","doi":"https://doi.org/10.1007/978-3-319-27284-9_7","title":"Invariance Explains Multiplicative and Exponential Skedactic Functions","display_name":"Invariance Explains Multiplicative and Exponential Skedactic Functions","publication_year":2015,"publication_date":"2015-12-28","ids":{"openalex":"https://openalex.org/W2338107462","doi":"https://doi.org/10.1007/978-3-319-27284-9_7","mag":"2338107462"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-27284-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-27284-9_7","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Vladik Kreinovich","raw_affiliation_strings":["Department of Computer Science, University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA","Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA","institution_ids":["https://openalex.org/I164936912"]},{"raw_affiliation_string":"Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075920182","display_name":"Olga Kosheleva","orcid":"https://orcid.org/0000-0003-2587-4209"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olga Kosheleva","raw_affiliation_strings":["University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at El Paso, 500 W. University, El Paso, TX, 79968, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100716472","display_name":"Hung T. Nguyen","orcid":"https://orcid.org/0000-0002-3463-7232"},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]},{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH","US"],"is_corresponding":false,"raw_author_name":"Hung T. Nguyen","raw_affiliation_strings":["Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, 88003, USA","Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, 88003, USA","institution_ids":["https://openalex.org/I10052268"]},{"raw_affiliation_string":"Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058887761","display_name":"Songsak Sriboonchitta","orcid":"https://orcid.org/0000-0002-3511-5452"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Songsak Sriboonchitta","raw_affiliation_strings":["Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand","Faculty of Economics, Chiang Mai University, Chiangmai, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand","institution_ids":["https://openalex.org/I48076826"]},{"raw_affiliation_string":"Faculty of Economics, Chiang Mai University, Chiangmai, Thailand","institution_ids":["https://openalex.org/I48076826"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061275811"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":null,"apc_paid":null,"fwci":3.0862,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.91550515,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"119","last_page":"131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10007","display_name":"Monetary Policy and Economic Impact","score":0.9592000246047974,"subfield":{"id":"https://openalex.org/subfields/2000","display_name":"General Economics, Econometrics and Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9362000226974487,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.8759442567825317},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.7381727695465088},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6042997241020203},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.603520929813385},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4906071722507477},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4619614779949188},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3558647334575653},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.23819109797477722},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.213118314743042}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.8759442567825317},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.7381727695465088},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6042997241020203},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.603520929813385},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4906071722507477},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4619614779949188},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3558647334575653},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.23819109797477722},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.213118314743042},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-27284-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-27284-9_7","pdf_url":null,"source":{"id":"https://openalex.org/S2764461748","display_name":"Studies in computational intelligence","issn_l":"1860-949X","issn":["1860-949X","1860-9503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Computational Intelligence","raw_type":"book-chapter"},{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-1952","is_oa":false,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/967","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},{"id":"pmh:oai:scholarworks.utep.edu:cs_techrep-1952","is_oa":false,"landing_page_url":"https://scholarworks.utep.edu/cs_techrep/967","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1531724333","https://openalex.org/W1539739189","https://openalex.org/W1776031916","https://openalex.org/W2058404065","https://openalex.org/W2256075884","https://openalex.org/W4214575751","https://openalex.org/W4237284272"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4318195686","https://openalex.org/W1807736060","https://openalex.org/W3139626902","https://openalex.org/W2952513604","https://openalex.org/W4288076114","https://openalex.org/W4300796178","https://openalex.org/W4291973374","https://openalex.org/W2027062810","https://openalex.org/W2952248228"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
