homogeneous
Pronunciation
  • (British) IPA: /ˌhɒ.mə(ʊ)ˈdʒiː.nɪəs/, /ˌhəʊ.mə(ʊ)ˈdʒiː.nɪəs/
  • (America) IPA: /ˌhoʊ.moʊˈdʒiː.njəs/, /ˌhoʊ.məˈdʒiː.njəs/, /ˌhoʊ.moʊˈdʒɛ.njəs/
Adjective

homogeneous (not comparable)

  1. Of the same kind; alike, similar.
  2. Having the same composition throughout; of uniform make-up.
    • 1946, Bertrand Russell, History of Western Philosophy, I.25:
      Their citizens were not of homogeneous origin, but were from all parts of Greece.
  3. (chemistry) in the same state of matter.
  4. (mathematics) Of which the properties of a smaller set apply to the whole; scalable.
    The function f(x,y)=x^2+y^2 is homogeneous of degree 2 because f(\alpha x,\alpha y)=\alpha^2 f(x,y).
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