noun
Meaning 1
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].
Definition source: English Wiktionary via Wiktextract
Topics: algebra, mathematics, sciences
Examples
- To divide an Eisenstein integer a#43;b#92;omega by another Eisenstein integer c#43;d#92;omega, notice that (c#43;d#92;omega)(c#43;d)(c#43;d#92;omega2)#61;c3#43;d3; accordingly multiply both denominator and numerator (of the division expressed as a fraction) by (c#43;d)(c#43;d#92;omega2), then simplify.
Meaning relationships
Synonyms: none provided
Antonyms: none provided