{"id":"https://openalex.org/W43281984","doi":"https://doi.org/10.1007/978-3-642-38088-4_28","title":"Formalization of Infinite Dimension Linear Spaces with Application to Quantum Theory","display_name":"Formalization of Infinite Dimension Linear Spaces with Application to Quantum Theory","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W43281984","doi":"https://doi.org/10.1007/978-3-642-38088-4_28","mag":"43281984"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-38088-4_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38088-4_28","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","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/A5074297675","display_name":"Mohamed Yousri Mahmoud","orcid":"https://orcid.org/0000-0002-4834-8140"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Mohamed Yousri Mahmoud","raw_affiliation_strings":["Electrical and Computer Engineering Dept., Concordia University, 1455 De Maisonneuve Blvd. W., Montreal, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Dept., Concordia University, 1455 De Maisonneuve Blvd. W., Montreal, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017246972","display_name":"Vincent Aravantinos","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Vincent Aravantinos","raw_affiliation_strings":["Electrical and Computer Engineering Dept., Concordia University, 1455 De Maisonneuve Blvd. W., Montreal, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Dept., Concordia University, 1455 De Maisonneuve Blvd. W., Montreal, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007159598","display_name":"Sofi\u00e8ne Tahar","orcid":"https://orcid.org/0000-0002-5537-104X"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sofi\u00e8ne Tahar","raw_affiliation_strings":["Electrical and Computer Engineering Dept., Concordia University, 1455 De Maisonneuve Blvd. W., Montreal, Canada"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Dept., Concordia University, 1455 De Maisonneuve Blvd. W., Montreal, Canada","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074297675"],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.5422,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.97274823,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"413","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12748","display_name":"Molecular spectroscopy and chirality","score":0.9771999716758728,"subfield":{"id":"https://openalex.org/subfields/1607","display_name":"Spectroscopy"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9754999876022339,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/computer-science","display_name":"Computer science","score":0.7820086479187012},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7007646560668945},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4530460834503174},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4442942142486572},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40396150946617126},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3331020474433899},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18749770522117615},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1746440827846527},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1325642168521881},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08596375584602356}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7820086479187012},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7007646560668945},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4530460834503174},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4442942142486572},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40396150946617126},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3331020474433899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18749770522117615},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1746440827846527},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1325642168521881},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08596375584602356}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-38088-4_28","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38088-4_28","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W637456516","https://openalex.org/W1485732691","https://openalex.org/W1497011154","https://openalex.org/W1517265310","https://openalex.org/W1545409775","https://openalex.org/W1560253649","https://openalex.org/W1973942504","https://openalex.org/W2036595722","https://openalex.org/W2113646281","https://openalex.org/W2163976215","https://openalex.org/W2171963266","https://openalex.org/W2277766137","https://openalex.org/W2610807660","https://openalex.org/W2751209438","https://openalex.org/W2963360541","https://openalex.org/W2989518858","https://openalex.org/W3033452084","https://openalex.org/W3104420136","https://openalex.org/W4205982228","https://openalex.org/W4214486323"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2052122378","https://openalex.org/W2544423928","https://openalex.org/W2062023542","https://openalex.org/W4313731559"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
