Matches in SemOpenAlex for { <https://semopenalex.org/work/W1996495722> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W1996495722 endingPage "530" @default.
- W1996495722 startingPage "517" @default.
- W1996495722 abstract "Criteria are derived to determine the distribution of the characteristic roots of a Byatem with respect to parabolas and hyperbolas in the complex plane, which are related to certain physical properties of the system. The criteria are given in terms of a classical half-plane algorithm, e.g. a Routh array, carried out on a transformed polynomial of double the degree of the original characteristic polynomial. For parabolas, left, right or shifted, the algorithm provides the complete root distribution including criteria for root clustering and root exclusion as Bpecial cases. For hyperbolas, the algorithm provides in all cases criteria for root clustering inside the (open or closed) left or right branch of the hyperbola, and for characteristic polynomials which are Hurwitz, the algorithm provides the complete root distribution with respect to the left branch of the hyperbola. Also, by an additional classical test (Sturm), the algorithm provides in all cases the exact number of roots on the left boundary of the hyperbola and on the right boundary of the hyperbola. By a limiting process the results on hyperbolas are extended to linear sectors, and by another limiting process the results are extended to symmetrical intervals on the real axis." @default.
- W1996495722 created "2016-06-24" @default.
- W1996495722 creator A5004399681 @default.
- W1996495722 creator A5042465753 @default.
- W1996495722 date "1982-09-01" @default.
- W1996495722 modified "2023-10-16" @default.
- W1996495722 title "Complete root distribution with respect to parabolas and some results with respect to hyperbolas and sectors" @default.
- W1996495722 cites W1972848510 @default.
- W1996495722 cites W1990035184 @default.
- W1996495722 cites W2014759796 @default.
- W1996495722 cites W2026581141 @default.
- W1996495722 cites W2049655840 @default.
- W1996495722 cites W2083744123 @default.
- W1996495722 cites W2096509077 @default.
- W1996495722 cites W2101314745 @default.
- W1996495722 cites W2109966411 @default.
- W1996495722 cites W2110779572 @default.
- W1996495722 doi "https://doi.org/10.1080/00207178208932912" @default.
- W1996495722 hasPublicationYear "1982" @default.
- W1996495722 type Work @default.
- W1996495722 sameAs 1996495722 @default.
- W1996495722 citedByCount "16" @default.
- W1996495722 crossrefType "journal-article" @default.
- W1996495722 hasAuthorship W1996495722A5004399681 @default.
- W1996495722 hasAuthorship W1996495722A5042465753 @default.
- W1996495722 hasConcept C110121322 @default.
- W1996495722 hasConcept C134306372 @default.
- W1996495722 hasConcept C138885662 @default.
- W1996495722 hasConcept C145050668 @default.
- W1996495722 hasConcept C171078966 @default.
- W1996495722 hasConcept C179117685 @default.
- W1996495722 hasConcept C2524010 @default.
- W1996495722 hasConcept C33923547 @default.
- W1996495722 hasConcept C41895202 @default.
- W1996495722 hasConcept C62354387 @default.
- W1996495722 hasConcept C90119067 @default.
- W1996495722 hasConceptScore W1996495722C110121322 @default.
- W1996495722 hasConceptScore W1996495722C134306372 @default.
- W1996495722 hasConceptScore W1996495722C138885662 @default.
- W1996495722 hasConceptScore W1996495722C145050668 @default.
- W1996495722 hasConceptScore W1996495722C171078966 @default.
- W1996495722 hasConceptScore W1996495722C179117685 @default.
- W1996495722 hasConceptScore W1996495722C2524010 @default.
- W1996495722 hasConceptScore W1996495722C33923547 @default.
- W1996495722 hasConceptScore W1996495722C41895202 @default.
- W1996495722 hasConceptScore W1996495722C62354387 @default.
- W1996495722 hasConceptScore W1996495722C90119067 @default.
- W1996495722 hasIssue "3" @default.
- W1996495722 hasLocation W19964957221 @default.
- W1996495722 hasOpenAccess W1996495722 @default.
- W1996495722 hasPrimaryLocation W19964957221 @default.
- W1996495722 hasRelatedWork W1983486751 @default.
- W1996495722 hasRelatedWork W2098481300 @default.
- W1996495722 hasRelatedWork W2180442698 @default.
- W1996495722 hasRelatedWork W2294873576 @default.
- W1996495722 hasRelatedWork W3025698856 @default.
- W1996495722 hasRelatedWork W3123884562 @default.
- W1996495722 hasRelatedWork W3180285313 @default.
- W1996495722 hasRelatedWork W3199577122 @default.
- W1996495722 hasRelatedWork W4313548968 @default.
- W1996495722 hasRelatedWork W68756474 @default.
- W1996495722 hasVolume "36" @default.
- W1996495722 isParatext "false" @default.
- W1996495722 isRetracted "false" @default.
- W1996495722 magId "1996495722" @default.
- W1996495722 workType "article" @default.