Matches in SemOpenAlex for { <https://semopenalex.org/work/W2968787006> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2968787006 abstract "In this paper we first recall some rigorously proved results related to the Heilbronn numbers and the corresponding optimal configurations of (n=5,6,7) points in squares, disks, and general convex bodies K in the plane, (n=5,6) points in triangles and a bundle of approximate results obtained by numeric computation in the Introduction section. And then in the second section we will present a proof to a conjecture on the Heilbronn number for seven points in the triangle through solving a group of non-linear optimization problems via symbolic computation. In the third section we list three unsolved well-formed such non-linear programming problems corresponding to Heilbronn configurations for (n=8,9) points in squares and 8 points in triangle, we expect they can be solved by similar method we used in the Section two. In the final section we mention two generalizations of the classic Heilbronn triangle problem. The paper aims to provide a concise guide to further studies on Heilbronn-type problems for small number of points in specific convex bodies." @default.
- W2968787006 created "2019-08-22" @default.
- W2968787006 creator A5058328411 @default.
- W2968787006 creator A5088646573 @default.
- W2968787006 date "2019-01-01" @default.
- W2968787006 modified "2023-10-17" @default.
- W2968787006 title "Determining the Heilbronn Configuration of Seven Points in Triangles via Symbolic Computation" @default.
- W2968787006 cites W1517742237 @default.
- W2968787006 cites W1966946221 @default.
- W2968787006 cites W1973869677 @default.
- W2968787006 cites W2016274862 @default.
- W2968787006 cites W2025476340 @default.
- W2968787006 cites W2049388519 @default.
- W2968787006 cites W2054456839 @default.
- W2968787006 cites W2056901435 @default.
- W2968787006 cites W2070152596 @default.
- W2968787006 cites W2075552616 @default.
- W2968787006 cites W2093784222 @default.
- W2968787006 cites W2110938502 @default.
- W2968787006 cites W2122752151 @default.
- W2968787006 cites W2466466883 @default.
- W2968787006 cites W4236007352 @default.
- W2968787006 cites W4252779103 @default.
- W2968787006 cites W4253394114 @default.
- W2968787006 doi "https://doi.org/10.1007/978-3-030-26831-2_30" @default.
- W2968787006 hasPublicationYear "2019" @default.
- W2968787006 type Work @default.
- W2968787006 sameAs 2968787006 @default.
- W2968787006 citedByCount "1" @default.
- W2968787006 countsByYear W29687870062020 @default.
- W2968787006 crossrefType "book-chapter" @default.
- W2968787006 hasAuthorship W2968787006A5058328411 @default.
- W2968787006 hasAuthorship W2968787006A5088646573 @default.
- W2968787006 hasConcept C111919701 @default.
- W2968787006 hasConcept C112680207 @default.
- W2968787006 hasConcept C11413529 @default.
- W2968787006 hasConcept C114614502 @default.
- W2968787006 hasConcept C118615104 @default.
- W2968787006 hasConcept C17825722 @default.
- W2968787006 hasConcept C2524010 @default.
- W2968787006 hasConcept C2780129039 @default.
- W2968787006 hasConcept C2780990831 @default.
- W2968787006 hasConcept C33923547 @default.
- W2968787006 hasConcept C41008148 @default.
- W2968787006 hasConcept C45374587 @default.
- W2968787006 hasConceptScore W2968787006C111919701 @default.
- W2968787006 hasConceptScore W2968787006C112680207 @default.
- W2968787006 hasConceptScore W2968787006C11413529 @default.
- W2968787006 hasConceptScore W2968787006C114614502 @default.
- W2968787006 hasConceptScore W2968787006C118615104 @default.
- W2968787006 hasConceptScore W2968787006C17825722 @default.
- W2968787006 hasConceptScore W2968787006C2524010 @default.
- W2968787006 hasConceptScore W2968787006C2780129039 @default.
- W2968787006 hasConceptScore W2968787006C2780990831 @default.
- W2968787006 hasConceptScore W2968787006C33923547 @default.
- W2968787006 hasConceptScore W2968787006C41008148 @default.
- W2968787006 hasConceptScore W2968787006C45374587 @default.
- W2968787006 hasLocation W29687870061 @default.
- W2968787006 hasOpenAccess W2968787006 @default.
- W2968787006 hasPrimaryLocation W29687870061 @default.
- W2968787006 hasRelatedWork W1978042415 @default.
- W2968787006 hasRelatedWork W1988476087 @default.
- W2968787006 hasRelatedWork W2004288058 @default.
- W2968787006 hasRelatedWork W2018313938 @default.
- W2968787006 hasRelatedWork W2018824848 @default.
- W2968787006 hasRelatedWork W2158993493 @default.
- W2968787006 hasRelatedWork W2963228038 @default.
- W2968787006 hasRelatedWork W2963757170 @default.
- W2968787006 hasRelatedWork W3201054885 @default.
- W2968787006 hasRelatedWork W4281976282 @default.
- W2968787006 isParatext "false" @default.
- W2968787006 isRetracted "false" @default.
- W2968787006 magId "2968787006" @default.
- W2968787006 workType "book-chapter" @default.