{"id":"https://openalex.org/W3210010388","doi":"https://doi.org/10.48550/arxiv.2110.15741","title":"Novel constants based on the generalization of Von Neumann-Jordan constant","display_name":"Novel constants based on the generalization of Von Neumann-Jordan constant","publication_year":2021,"publication_date":"2021-10-29","ids":{"openalex":"https://openalex.org/W3210010388","doi":"https://doi.org/10.48550/arxiv.2110.15741","mag":"3210010388"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2110.15741","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.15741","pdf_url":"https://arxiv.org/pdf/2110.15741","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2110.15741","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Wang, Yuxin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yuxin","raw_affiliation_strings":["Middle School"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Middle School","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100453159","display_name":"Qi Liu","orcid":"https://orcid.org/0000-0001-7485-6344","observed_orcids":["https://orcid.org/0000-0001-7485-6344"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Qi","raw_affiliation_strings":["Middle School"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Middle School","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Li, Qian","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Qian","raw_affiliation_strings":["Middle School"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Middle School","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Ni, Qichuan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ni, Qichuan","raw_affiliation_strings":["Middle School"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Middle School","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036065682","display_name":"Zhijian Yang","orcid":"https://orcid.org/0000-0003-2009-561X","observed_orcids":["https://orcid.org/0000-0003-2009-561X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Zhijian","raw_affiliation_strings":["Department of Mathematics , Maoming No"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Maoming No","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044449211","display_name":"Muhammad Sarfraz","orcid":"https://orcid.org/0000-0003-4978-9287","observed_orcids":["https://orcid.org/0000-0003-4978-9287"]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sarfraz, Muhammad","raw_affiliation_strings":["Department of Mathematics , Sun Yat-sen University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Sun Yat-sen University","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101561342","display_name":"Yongjin Li","orcid":"https://orcid.org/0000-0003-4322-308X","observed_orcids":["https://orcid.org/0000-0003-4322-308X"]},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Yongjin","raw_affiliation_strings":["Department of Mathematics , Sun Yat-sen University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Sun Yat-sen University","institution_ids":["https://openalex.org/I157773358"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.004399999976158142,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/von-neumann-jordan-constant","display_name":"von Neumann-Jordan constant","score":0.9369999766349792},{"id":"https://openalex.org/keywords/geometric-constants","display_name":"geometric constants","score":0.8360000252723694},{"id":"https://openalex.org/keywords/parallelogram-law","display_name":"parallelogram law","score":0.8930000066757202},{"id":"https://openalex.org/keywords/normal-structure","display_name":"normal structure","score":0.7829999923706055},{"id":"https://openalex.org/keywords/banach-spaces","display_name":"Banach spaces","score":0.8169999718666077},{"id":"https://openalex.org/keywords/fixed-point-theory","display_name":"fixed point theory","score":0.5450000166893005}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7090663313865662},{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.6467218995094299},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.6390396356582642},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6037636995315552},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5891003608703613},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.5299635529518127},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5266575217247009},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4942016899585724},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.43348395824432373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4184374213218689},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4137974977493286},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.23447492718696594},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18474769592285156},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13899379968643188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1300908923149109},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.07010594010353088},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C44000306","wikidata":"https://www.wikidata.org/wiki/Q244330","display_name":"Hinge","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2110.15741","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.15741","pdf_url":"https://arxiv.org/pdf/2110.15741","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2110.15741","doi":"https://doi.org/10.48550/arxiv.2110.15741","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2110.15741","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2110.15741","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2110.15741","pdf_url":"https://arxiv.org/pdf/2110.15741","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321438","display_name":"Anqing Normal University","ror":"https://ror.org/0127ytz78"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3210010388.pdf","grobid_xml":"https://content.openalex.org/works/W3210010388.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W58498324","https://openalex.org/W319004803","https://openalex.org/W1488731834","https://openalex.org/W1518096223","https://openalex.org/W1531291633","https://openalex.org/W1993541200","https://openalex.org/W2005848700","https://openalex.org/W2007810353","https://openalex.org/W2012976574","https://openalex.org/W2042849420","https://openalex.org/W2093900933","https://openalex.org/W2100316758","https://openalex.org/W2138926861","https://openalex.org/W2140087811","https://openalex.org/W2172176693","https://openalex.org/W2175208350","https://openalex.org/W2326410355","https://openalex.org/W2571825834","https://openalex.org/W2578861728","https://openalex.org/W2594396275","https://openalex.org/W3123184531","https://openalex.org/W3134991659","https://openalex.org/W3200044139","https://openalex.org/W4389335085"],"related_works":["https://openalex.org/W3211569107","https://openalex.org/W3200044139","https://openalex.org/W3184923569","https://openalex.org/W3212249383","https://openalex.org/W2614978981","https://openalex.org/W1959961974","https://openalex.org/W6981995522","https://openalex.org/W2245148358","https://openalex.org/W2133317048","https://openalex.org/W4311529632"],"abstract_inverted_index":{"We":[0],"introduce":[1,38,51],"a":[2,8,39,46],"new":[3,53],"geometric":[4,26],"constant":[5,40,54],"based":[6],"on":[7],"generalization":[9],"of":[10,58],"the":[11],"parallelogram":[12],"law,":[13],"and":[14,41,55],"study":[15],"its":[16,43,59],"properties":[17],"as":[18,20],"well":[19],"some":[21,57],"relationships":[22],"with":[23],"other":[24],"well-known":[25],"constants.":[27],"A":[28],"sufficient":[29],"condition":[30],"for":[31],"normal":[32],"structure":[33],"is":[34],"presented.":[35],"Next,":[36],"we":[37,50],"calculate":[42],"value":[44],"in":[45],"specific":[47],"space.":[48],"Furthermore,":[49],"another":[52],"investigate":[56],"basic":[60],"properties.":[61]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-11-08T00:00:00"}