About: Pseudo-zero set

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

In complex analysis (a branch of mathematical analysis), the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from those of p by a small amount. Namely, given a norm |·| on the space of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that |p − q| (as vectors of coefficients) is less than a given ε.

Property Value
dbo:abstract
  • In complex analysis (a branch of mathematical analysis), the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from those of p by a small amount. Namely, given a norm |·| on the space of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that |p − q| (as vectors of coefficients) is less than a given ε. (en)
dbo:wikiPageExternalLink
dbo:wikiPageID
  • 14841405 (xsd:integer)
dbo:wikiPageLength
  • 1631 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1063350954 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdfs:comment
  • In complex analysis (a branch of mathematical analysis), the pseudo-zero set or root neighborhood of a degree-m polynomial p(z) is the set of all complex numbers that are roots of polynomials whose coefficients differ from those of p by a small amount. Namely, given a norm |·| on the space of polynomial coefficients, the pseudo-zero set is the set of all zeros of all degree-m polynomials q such that |p − q| (as vectors of coefficients) is less than a given ε. (en)
rdfs:label
  • Pseudo-zero set (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License