(mathematics) 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.

plural of quadratic integer

plural of algebraic integer

plural of half-integer

(algebra) A complex number of the form a+b𝜔, where a and b are integers and ω is defined by the following two rules: (1) 𝜔³=1 and (2) 1+𝜔+𝜔²=0; an element of the Euclidean domain ℤ[𝜔].

plural of Gaussian integer

plural of Cartan integer

plural of Eisenstein integer

plural of integer factorization

(mathematics) Any of the scalar products a_ij=2(r_i,r_j)/(r_i,r_i) that make up the Cartan matrix of a simple Lie algebra.