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Eisenstein integers

Eisenstein integers is the plural of Eisenstein integer.

Meaning of Eisenstein integer

Noun

Eisenstein integer (plural Eisenstein integers)

  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].
    • 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...

Questions about Eisenstein integers

What is Eisenstein integers the plural of?
Eisenstein integers is the plural of Eisenstein integer.

Words near Eisenstein integers in the dictionary

  1. Eisenstadtian
  2. Eisenstadts
  3. Eisenstaedt
  4. Eisenstein
  5. Eisenstein integer
  6. Eisenstein integers
  7. Eisenstein prime
  8. Eisenstein primes
  9. Eisensteinian
  10. Eisert
  11. Eiserts

Source and license

Adapted from Wiktionary: Eisenstein integers (page history and authors); Eisenstein integer (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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