{"id":"https://openalex.org/W1445319306","doi":"https://doi.org/10.1007/978-3-642-25070-5_6","title":"The Midpoint Locus of a Triangle in a Corner","display_name":"The Midpoint Locus of a Triangle in a Corner","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1445319306","doi":"https://doi.org/10.1007/978-3-642-25070-5_6","mag":"1445319306"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-25070-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-25070-5_6","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":"conference-paper","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/A5074007224","display_name":"Daniel Lichtblau","orcid":"https://orcid.org/0000-0002-2299-008X"},"institutions":[{"id":"https://openalex.org/I65760639","display_name":"Wolfram Research (United States)","ror":"https://ror.org/03k118f17","country_code":"US","type":"company","lineage":["https://openalex.org/I65760639"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel Lichtblau","raw_affiliation_strings":["Wolfram Research, Inc., 100 Trade Center Dr., Champaign, IL, 61820, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wolfram Research, Inc., 100 Trade Center Dr., Champaign, IL, 61820, USA","institution_ids":["https://openalex.org/I65760639"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074007224"],"corresponding_institution_ids":["https://openalex.org/I65760639"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.03155513,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"98","last_page":"117"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/equilateral-triangle","display_name":"Equilateral triangle","score":0.9576383829116821},{"id":"https://openalex.org/keywords/midpoint","display_name":"Midpoint","score":0.7887106537818909},{"id":"https://openalex.org/keywords/locus","display_name":"Locus (genetics)","score":0.7418614625930786},{"id":"https://openalex.org/keywords/octant","display_name":"Octant (instrument)","score":0.5745493173599243},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5011518001556396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4470404088497162},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.43290770053863525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3714091181755066},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.266651451587677},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1734059751033783}],"concepts":[{"id":"https://openalex.org/C146786541","wikidata":"https://www.wikidata.org/wiki/Q157002","display_name":"Equilateral triangle","level":2,"score":0.9576383829116821},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.7887106537818909},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.7418614625930786},{"id":"https://openalex.org/C177994039","wikidata":"https://www.wikidata.org/wiki/Q427293","display_name":"Octant (instrument)","level":2,"score":0.5745493173599243},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5011518001556396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4470404088497162},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.43290770053863525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3714091181755066},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.266651451587677},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1734059751033783},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-25070-5_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-25070-5_6","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":13,"referenced_works":["https://openalex.org/W1524959429","https://openalex.org/W1567699882","https://openalex.org/W1984939443","https://openalex.org/W1994576922","https://openalex.org/W2012079420","https://openalex.org/W2082800690","https://openalex.org/W2099395370","https://openalex.org/W2106381572","https://openalex.org/W2184558389","https://openalex.org/W2480995471","https://openalex.org/W2984390766","https://openalex.org/W4239026256","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2791665318","https://openalex.org/W4300615779","https://openalex.org/W3143729892","https://openalex.org/W2556176068","https://openalex.org/W4233425111","https://openalex.org/W1566811536","https://openalex.org/W4248596675","https://openalex.org/W3004184413","https://openalex.org/W1445319306","https://openalex.org/W2611982512"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
