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Gaussian integers

Gaussian integers is the plural of Gaussian integer.

Meaning of Gaussian integer

Noun

Gaussian integer (plural Gaussian integers)

  1. Any complex number of the form a + bi, where a and b are integers.
    • We could say that a Gaussian integer is larger than another if its norm is larger, that is, if its distance from the origin is larger. That's all right, although it has the peculiarity that 5 is larger than -7 as an integer, but smaller than -7 as a Gaussian integer! In a way, this notion of larger...1997, Bernard L. Johnston, Fred Richman, Numbers and Symmetry: An Introduction to Algebra, CRC Press, page 44

Questions about Gaussian integers

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

Words near Gaussian integers in the dictionary

  1. Gaussian elimination
  2. Gaussian eliminations
  3. Gaussian function
  4. Gaussian functions
  5. Gaussian integer
  6. Gaussian integers
  7. Gaussian moat
  8. Gaussian moats
  9. Gaussian prime
  10. Gaussian primes
  11. Gaussian splat

Source and license

Adapted from Wiktionary: Gaussian integers (page history and authors); Gaussian 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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