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- Gaussian_rational abstract "In mathematics, a Gaussian rational number is a complex number of the form p + qi, where p and q are both rational numbers.The set of all Gaussian rationals forms the Gaussian rational field, denoted Q(i), obtained by adjoining the imaginary number i to the field of rationals.It thus provides an example of an algebraic number field, which is both a quadratic field and a cyclotomic field (since i is a 4th root of unity). Like all quadratic fields it is a Galois extension of Q with Galois group cyclic of order two, in this case generated by complex conjugation, and is thus an abelian extension of Q, with conductor 4.The field of Gaussian rationals is neither ordered nor complete (as a metric space). The Gaussian integers Z[i] form the ring of integers of Q(i).".
- Gaussian_rational wikiPageID "318052".
- Gaussian_rational wikiPageRevisionID "582211994".
- Gaussian_rational hasPhotoCollection Gaussian_rational.
- Gaussian_rational subject Category:Cyclotomic_fields.
- Gaussian_rational type CyclotomicFields.
- Gaussian_rational type Field108569998.
- Gaussian_rational type GeographicalArea108574314.
- Gaussian_rational type Location100027167.
- Gaussian_rational type Object100002684.
- Gaussian_rational type PhysicalEntity100001930.
- Gaussian_rational type Region108630985.
- Gaussian_rational type Tract108673395.
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- Gaussian_rational comment "In mathematics, a Gaussian rational number is a complex number of the form p + qi, where p and q are both rational numbers.The set of all Gaussian rationals forms the Gaussian rational field, denoted Q(i), obtained by adjoining the imaginary number i to the field of rationals.It thus provides an example of an algebraic number field, which is both a quadratic field and a cyclotomic field (since i is a 4th root of unity).".
- Gaussian_rational label "Gaussian rational".
- Gaussian_rational label "Rationnel de Gauss".
- Gaussian_rational sameAs Rationnel_de_Gauss.
- Gaussian_rational sameAs m.01v3lp.
- Gaussian_rational sameAs Q7888828.
- Gaussian_rational sameAs Q7888828.
- Gaussian_rational sameAs Gaussian_rational.
- Gaussian_rational wasDerivedFrom Gaussian_rational?oldid=582211994.
- Gaussian_rational isPrimaryTopicOf Gaussian_rational.