{"id":"https://openalex.org/W7224868190","doi":"https://doi.org/10.5281/zenodo.23804155","title":"f(x) = -x^2 + 45x + 1/4 as a General Semiotic Framework for 45-Limit Phenomena","display_name":"f(x) = -x^2 + 45x + 1/4 as a General Semiotic Framework for 45-Limit Phenomena","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W7224868190","doi":"https://doi.org/10.5281/zenodo.23804155"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23804155","doi":"https://doi.org/10.5281/zenodo.23804155","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23804155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23804155","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001769667","display_name":"Heryanto Sembiring","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sembiring, Heryanto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5001769667"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T13250","display_name":"Semiotics and Representation Studies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1208","display_name":"Literature and Literary Theory"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13250","display_name":"Semiotics and Representation Studies","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1208","display_name":"Literature and Literary Theory"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13716","display_name":"Communication Studies and Media","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/3315","display_name":"Communication"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13606","display_name":"Umberto Eco and Semiotics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/1203","display_name":"Language and Linguistics"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semiotics","display_name":"semiotics","score":0.6890000104904175},{"id":"https://openalex.org/keywords/human-behavior","display_name":"human behavior","score":0.8109999895095825},{"id":"https://openalex.org/keywords/north-sumatra","display_name":"North Sumatra","score":0.8119999766349792},{"id":"https://openalex.org/keywords/medan","display_name":"Medan","score":0.8529999852180481}],"concepts":[{"id":"https://openalex.org/C139997677","wikidata":"https://www.wikidata.org/wiki/Q60195","display_name":"Semiotics","level":2,"score":0.7833999991416931},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5570999979972839},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5317000150680542},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4620000123977661},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.45210000872612},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.44040000438690186},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.4147000014781952},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.3991999924182892},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.39079999923706055},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3671000003814697},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.36329999566078186},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.30869999527931213},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.2842000126838684},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.26339998841285706},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.2513999938964844},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.25130000710487366}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.23804155","doi":"https://doi.org/10.5281/zenodo.23804155","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23804155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23804156","doi":"https://doi.org/10.5281/zenodo.23804156","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23804156","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23804835","doi":"https://doi.org/10.5281/zenodo.23804835","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23804835","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23804155","doi":"https://doi.org/10.5281/zenodo.23804155","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23804155","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W102123231","https://openalex.org/W4379472253","https://openalex.org/W7005662532","https://openalex.org/W158854726","https://openalex.org/W2374520745","https://openalex.org/W1797432581","https://openalex.org/W176557405","https://openalex.org/W318439659","https://openalex.org/W2504093680","https://openalex.org/W7154135552"],"abstract_inverted_index":{"This":[0,62],"paper":[1],"presents":[2],"f(x)":[3],"=":[4],"-x^2":[5],"+":[6,8],"45x":[7],"1/4":[9],"as":[10],"a":[11,35,41,65],"general":[12],"semiotic":[13],"framework":[14,47],"for":[15,68],"explaining":[16],"all":[17],"phenomena":[18],"bounded":[19],"by":[20],"the":[21,28],"limit":[22],"of":[23,30,44],"45.":[24],"The":[25,46],"function":[26],"models":[27],"cycle":[29],"meaning":[31],"-":[32],"rising":[33],"to":[34,50],"peak":[36],"at":[37],"45":[38],"and":[39,53,73],"retaining":[40],"residual":[42],"value":[43],"1/4.":[45],"is":[48],"applied":[49],"linguistics,":[51],"culture,":[52],"human":[54],"behavior,":[55],"with":[56],"focus":[57],"on":[58],"North":[59],"Sumatra":[60],"context.":[61],"work":[63],"provides":[64],"mathematical-semiotic":[66],"model":[67],"interpreting":[69],"limits":[70],"in":[71],"social":[72],"cultural":[74],"systems.":[75],"Keywords:":[76],"semiotic,":[77],"f(x),":[78],"45-limit,":[79],"framework,":[80],"Medan":[81],"Author:":[82],"Heryanto":[83],"Sembiring":[84],"DOI:":[85],"10.5281/zenodo.23804156":[86]},"counts_by_year":[],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2026-10-31T00:00:00"}
