Difference between revisions of "Homogeneous"

Latest revision as of 02:33, 1 June 2014

English

Adjective

Homogeneous (not comparable)

1. similar, or the same as something else
2. having the same composition throughout; uniform
3. (chemistry) in the same state of matter.
4. (mathematics) Of which the properties of a smaller set apply to the whole; scalable.
   1. (mathematics) A function is homogeneous of degree-k if scaling all arguments by α scales the output by α^k.

      The function f(x,y)=x²+y² is homogeneous of degree 2 because f(αx,αy)=α²f(x,y).

Synonyms for Homogeneous

uniform, alike, consonant, same, similar, harmonious, identical.

Antonyms for Homogeneous

heterogeneous, miscellaneous, mixed, variegated, unharmonious.

Related terms

• homogeneity
• homogenise, homogenize

Thesaurus

accordant, akin, alike, aped, austere, automatic, balanced, bare, basic, chaste, comparable, consimilar, consistent, consonant, constant, continuous, copied, correspondent, counterfeit, elementary, equable, equal, ersatz, essential, even, fake, favoring, flat, following, fundamental, homely, homespun, identical, imitated, imitation, immutable, indivisible, invariable, irreducible, level, like, measured, mechanical, mere, methodic, mimicked, mock, monolithic, nearly reproduced, not unlike, of a piece, ordered, orderly, persistent, phony, plain, primal, primary, pure, pure and simple, regular, resembling, robotlike, severe, similar, simon-pure, simple, simulated, single, smacking of, smooth, something like, spare, stable, stark, steadfast, steady, suggestive of, synthetic, systematic, unadorned, unbroken, unchangeable, unchanged, unchanging, uncluttered, undeviating, undifferenced, undifferentiated, undiversified, uniform, uniform with, unruffled, unvaried, unvarying

Pronunciation

• 1: IPA: /ho.məˈdʒi.ni.əs/
• 2: IPA: /həˈmɑ.dʒɪ.nəs/

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