Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Gaussian_integer> ?p ?o. }
Showing items 1 to 56 of
56
with 100 items per page.
- Gaussian_integer abstract "In number theory, a Gaussian integer is a complex number whose real and imaginary part are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as Z[i]. This integral domain is a particular case of a commutative ring of quadratic integers. It does not have a total ordering that respects arithmetic.Formally, Gaussian integers are the set Note that when they are considered within the complex plane the Gaussian integers may be seen to constitute the 2-dimensional integer lattice.The (arithmetic or field) norm of a Gaussian integer is the square of its absolute value (Euclidean norm) as a complex number and a natural number defined as where ⋅ is complex conjugation.The norm is multiplicative, since the absolute value of complex numbers is multiplicative, i.e., one has The latter can also be verified by a straightforward check. The units of Z[i] are precisely those elements with norm 1, i.e. the set {±1, ±i}.".
- Gaussian_integer thumbnail Gaussian_integer_lattice.png?width=300.
- Gaussian_integer wikiPageExternalLink Gaussian.html.
- Gaussian_integer wikiPageExternalLink citation.cfm?doid=165564.165571.
- Gaussian_integer wikiPageExternalLink GAUSSIAN.HTM.
- Gaussian_integer wikiPageExternalLink GAUSSPR.HTM.
- Gaussian_integer wikiPageExternalLink show_pdf.php?issn=0013-6018&vol=53&iss=1&rank=2.
- Gaussian_integer wikiPageID "48628".
- Gaussian_integer wikiPageRevisionID "604549188".
- Gaussian_integer hasPhotoCollection Gaussian_integer.
- Gaussian_integer title "Landau's Problems".
- Gaussian_integer urlname "LandausProblems".
- Gaussian_integer subject Category:Algebraic_numbers.
- Gaussian_integer subject Category:Cyclotomic_fields.
- Gaussian_integer subject Category:Lattice_points.
- Gaussian_integer type CyclotomicFields.
- Gaussian_integer type Field108569998.
- Gaussian_integer type GeographicalArea108574314.
- Gaussian_integer type Location100027167.
- Gaussian_integer type Object100002684.
- Gaussian_integer type PhysicalEntity100001930.
- Gaussian_integer type Region108630985.
- Gaussian_integer type Tract108673395.
- Gaussian_integer type YagoGeoEntity.
- Gaussian_integer type YagoLegalActorGeo.
- Gaussian_integer type YagoPermanentlyLocatedEntity.
- Gaussian_integer comment "In number theory, a Gaussian integer is a complex number whose real and imaginary part are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as Z[i]. This integral domain is a particular case of a commutative ring of quadratic integers.".
- Gaussian_integer label "Entero gaussiano".
- Gaussian_integer label "Entier de Gauss".
- Gaussian_integer label "Gaussian integer".
- Gaussian_integer label "Gaußsche Zahl".
- Gaussian_integer label "Geheel getal van Gauss".
- Gaussian_integer label "Inteiro de Gauss".
- Gaussian_integer label "Intero di Gauss".
- Gaussian_integer label "Liczby całkowite Gaussa".
- Gaussian_integer label "Гауссовы целые числа".
- Gaussian_integer label "عدد صحيح غاوسي".
- Gaussian_integer label "ガウス整数".
- Gaussian_integer label "高斯整數".
- Gaussian_integer sameAs Gaussovo_celé_číslo.
- Gaussian_integer sameAs Gaußsche_Zahl.
- Gaussian_integer sameAs Entero_gaussiano.
- Gaussian_integer sameAs Entier_de_Gauss.
- Gaussian_integer sameAs Intero_di_Gauss.
- Gaussian_integer sameAs ガウス整数.
- Gaussian_integer sameAs 가우스_정수.
- Gaussian_integer sameAs Geheel_getal_van_Gauss.
- Gaussian_integer sameAs Liczby_całkowite_Gaussa.
- Gaussian_integer sameAs Inteiro_de_Gauss.
- Gaussian_integer sameAs m.0c_pk.
- Gaussian_integer sameAs Q724975.
- Gaussian_integer sameAs Q724975.
- Gaussian_integer sameAs Gaussian_integer.
- Gaussian_integer wasDerivedFrom Gaussian_integer?oldid=604549188.
- Gaussian_integer depiction Gaussian_integer_lattice.png.
- Gaussian_integer isPrimaryTopicOf Gaussian_integer.