quadratic integer

English

Etymology

Blend of quadratic +‎ algebraic integer. The idea of integer here is that if the coefficient of the ${\displaystyle x^{2}}$ term is set to 1 (i.e., if the polynomial is made monic), the other coefficients are integers.

Noun

quadratic integer (plural quadratic integers)

1. (mathematics) A number (real or complex) which is a solution to an equation of the form ${\displaystyle x^{2}+Bx+C=0}$ for some integers B and C. For example 42, or 2+3i, or ${\displaystyle 1+{\sqrt {-3}} \over 2}$.

Hypernyms

• algebraic integer
  • algebraic number

Hyponyms

• Gaussian integer / Eisenstein integer
  • integer, rational integer
• phi, golden ratio