quadratic integer
A number which is a solution to an equation of the form x²+Bx+C=0 for some integers B…A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2.
Meaning
1 sensesA number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2.
Origin
Blend of quadratic + algebraic integer. The idea of integer here is that if the coefficienBlend of quadratic + algebraic integer. The idea of integer here is that if the coefficient of the x² term is set to 1 (i.e., if the polynomial is made monic), the other coefficients are integers.
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Forms
plural: quadratic integers| Singular | quadratic integer |
|---|---|
| Plural | quadratic integers |
regular
See also
neighbours in the dictionaryDictionary text adapted from Wiktionary (Wiktionary contributors, CC BY-SA 4.0) and Open English WordNet / Princeton WordNet (CC BY 4.0, WordNet License); shared under CC BY-SA 4.0. Example sentences and recordings are credited where they appear.