{"id":"https://openalex.org/W7147087020","doi":"https://doi.org/10.1007/978-3-032-15791-1_4","title":"A Remark on\u00a0the\u00a0Existence of\u00a0a\u00a0Regular Zero of\u00a0a\u00a0Homogeneous Quadratic Mapping Into $$\\mathbb {R}^3$$","display_name":"A Remark on\u00a0the\u00a0Existence of\u00a0a\u00a0Regular Zero of\u00a0a\u00a0Homogeneous Quadratic Mapping Into $$\\mathbb {R}^3$$","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7147087020","doi":"https://doi.org/10.1007/978-3-032-15791-1_4"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-15791-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-15791-1_4","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/A5064908841","display_name":"Dmitry Karamzin","orcid":"https://orcid.org/0000-0001-6579-4276"},"institutions":[{"id":"https://openalex.org/I4210147539","display_name":"S.I. Vavilov Institute for the History of Science and Technology","ror":"https://ror.org/04kybmr51","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210147539"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Dmitry Karamzin","raw_affiliation_strings":["Federal Research Center \u201cComputer Science and Control\u201d of Russian Academy of Sciences, Vavilova street, 44, 119333, Moscow, Russia"],"raw_orcid":"https://orcid.org/0000-0001-6579-4276","affiliations":[{"raw_affiliation_string":"Federal Research Center \u201cComputer Science and Control\u201d of Russian Academy of Sciences, Vavilova street, 44, 119333, Moscow, Russia","institution_ids":["https://openalex.org/I4210147539"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064908841"],"corresponding_institution_ids":["https://openalex.org/I4210147539"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.81981982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"50","last_page":"61"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.33320000767707825,"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"}},"topics":[{"id":"https://openalex.org/T12508","display_name":"Functional Equations Stability Results","score":0.33320000767707825,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.14309999346733093,"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/T11822","display_name":"Analytic and geometric function theory","score":0.08889999985694885,"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/homogeneous","display_name":"Homogeneous","score":0.72079998254776},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.698199987411499},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6837000250816345},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6733999848365784},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4408999979496002},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4392000138759613},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.36419999599456787}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.72079998254776},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.698199987411499},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6837000250816345},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6733999848365784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5992000102996826},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4408999979496002},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4392000138759613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4189999997615814},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4007999897003174},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36059999465942383},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3330000042915344},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3176000118255615},{"id":"https://openalex.org/C184670325","wikidata":"https://www.wikidata.org/wiki/Q512604","display_name":"Loop (graph theory)","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C2778778035","wikidata":"https://www.wikidata.org/wiki/Q967960","display_name":"Mathematics Subject Classification","level":2,"score":0.3070000112056732},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C2776542497","wikidata":"https://www.wikidata.org/wiki/Q5266672","display_name":"Development (topology)","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2572000026702881},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.25209999084472656}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-032-15791-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-15791-1_4","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":14,"referenced_works":["https://openalex.org/W388179047","https://openalex.org/W1522995151","https://openalex.org/W1995806188","https://openalex.org/W1999150849","https://openalex.org/W2018824951","https://openalex.org/W2020968449","https://openalex.org/W2028759834","https://openalex.org/W2085503787","https://openalex.org/W2182293273","https://openalex.org/W2321894873","https://openalex.org/W2327350388","https://openalex.org/W2499159698","https://openalex.org/W2518562076","https://openalex.org/W3162474914"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-02T13:53:19.096889","created_date":"2026-04-02T00:00:00"}
