Matches in SemOpenAlex for { <https://semopenalex.org/work/W1652315199> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W1652315199 abstract "AbstractAbout global and local algebraic integrability ofovals. A contribution to clarify Newton results andrelative comments on his work done by Arnol’d andPourciau. A possibile application to air dampersections computation is offered, as example ofunexpected link between pure mathematics andindustrial technology.KeywordsNewton, algebraic curve, power series, algebraicintegrability, air damper.Following Arnol’d ([1]), a curve in the real plane issaid to be algebraicif its points (x,y) satisfy an equa-tion P(x,y) = 0 where P is a non-zero polynomial.Following Newton in its Principia ([2]), an oval is aclosed convex algebraic curve; following Newton (andChandrasekhar) again, an oval is said to be smoothifat every point there is the tangent line and its posi-tion varies with continuity when the point varies withcontinuity along the curve.An oval is said to be algebraically squarableif existsa polynomial Q(p,q,r,s) such that the area S ofan arbitrary segment formed by a cartesian lineax+by+c = 0 satisfies the equation Q(S,a,b,c) = 0([1],[4]). Newton, during its studies on planetstrajectories, has proven in its Lemma 28 of theFirst Book of Principia the following theorem (see([1]) for the original Newton proof, which is basedFigure 1: Newton" @default.
- W1652315199 created "2016-06-24" @default.
- W1652315199 creator A5029567097 @default.
- W1652315199 date "2011-10-13" @default.
- W1652315199 modified "2023-09-27" @default.
- W1652315199 title "Integrability of Newton ovals, computation of air damper inlets" @default.
- W1652315199 cites W1483218536 @default.
- W1652315199 cites W1493577213 @default.
- W1652315199 cites W1965749113 @default.
- W1652315199 cites W1976412482 @default.
- W1652315199 cites W643171281 @default.
- W1652315199 hasPublicationYear "2011" @default.
- W1652315199 type Work @default.
- W1652315199 sameAs 1652315199 @default.
- W1652315199 citedByCount "0" @default.
- W1652315199 crossrefType "posted-content" @default.
- W1652315199 hasAuthorship W1652315199A5029567097 @default.
- W1652315199 hasConcept C11413529 @default.
- W1652315199 hasConcept C117898588 @default.
- W1652315199 hasConcept C121332964 @default.
- W1652315199 hasConcept C134306372 @default.
- W1652315199 hasConcept C138187205 @default.
- W1652315199 hasConcept C158622935 @default.
- W1652315199 hasConcept C159694833 @default.
- W1652315199 hasConcept C18903297 @default.
- W1652315199 hasConcept C194342247 @default.
- W1652315199 hasConcept C202444582 @default.
- W1652315199 hasConcept C2524010 @default.
- W1652315199 hasConcept C2777759810 @default.
- W1652315199 hasConcept C33923547 @default.
- W1652315199 hasConcept C45374587 @default.
- W1652315199 hasConcept C46757340 @default.
- W1652315199 hasConcept C62520636 @default.
- W1652315199 hasConcept C85189116 @default.
- W1652315199 hasConcept C86803240 @default.
- W1652315199 hasConcept C90119067 @default.
- W1652315199 hasConceptScore W1652315199C11413529 @default.
- W1652315199 hasConceptScore W1652315199C117898588 @default.
- W1652315199 hasConceptScore W1652315199C121332964 @default.
- W1652315199 hasConceptScore W1652315199C134306372 @default.
- W1652315199 hasConceptScore W1652315199C138187205 @default.
- W1652315199 hasConceptScore W1652315199C158622935 @default.
- W1652315199 hasConceptScore W1652315199C159694833 @default.
- W1652315199 hasConceptScore W1652315199C18903297 @default.
- W1652315199 hasConceptScore W1652315199C194342247 @default.
- W1652315199 hasConceptScore W1652315199C202444582 @default.
- W1652315199 hasConceptScore W1652315199C2524010 @default.
- W1652315199 hasConceptScore W1652315199C2777759810 @default.
- W1652315199 hasConceptScore W1652315199C33923547 @default.
- W1652315199 hasConceptScore W1652315199C45374587 @default.
- W1652315199 hasConceptScore W1652315199C46757340 @default.
- W1652315199 hasConceptScore W1652315199C62520636 @default.
- W1652315199 hasConceptScore W1652315199C85189116 @default.
- W1652315199 hasConceptScore W1652315199C86803240 @default.
- W1652315199 hasConceptScore W1652315199C90119067 @default.
- W1652315199 hasLocation W16523151991 @default.
- W1652315199 hasOpenAccess W1652315199 @default.
- W1652315199 hasPrimaryLocation W16523151991 @default.
- W1652315199 hasRelatedWork W1499738674 @default.
- W1652315199 hasRelatedWork W1620428123 @default.
- W1652315199 hasRelatedWork W1836917067 @default.
- W1652315199 hasRelatedWork W1967265325 @default.
- W1652315199 hasRelatedWork W1980117110 @default.
- W1652315199 hasRelatedWork W1990009388 @default.
- W1652315199 hasRelatedWork W2014578639 @default.
- W1652315199 hasRelatedWork W2035275550 @default.
- W1652315199 hasRelatedWork W2042784169 @default.
- W1652315199 hasRelatedWork W2070982867 @default.
- W1652315199 hasRelatedWork W2071957040 @default.
- W1652315199 hasRelatedWork W2106991731 @default.
- W1652315199 hasRelatedWork W2127397850 @default.
- W1652315199 hasRelatedWork W2330720619 @default.
- W1652315199 hasRelatedWork W2443880266 @default.
- W1652315199 hasRelatedWork W2483015679 @default.
- W1652315199 hasRelatedWork W2499616875 @default.
- W1652315199 hasRelatedWork W3098101857 @default.
- W1652315199 hasRelatedWork W3102582660 @default.
- W1652315199 hasRelatedWork W762155101 @default.
- W1652315199 isParatext "false" @default.
- W1652315199 isRetracted "false" @default.
- W1652315199 magId "1652315199" @default.
- W1652315199 workType "article" @default.