Definitions for homogeneousˌhoʊ məˈdʒi ni əs, -ˈdʒin yəs, ˌhɒm ə-

This page provides all possible meanings and translations of the word homogeneous

Random House Webster's College Dictionary

ho•mo•ge•ne•ousˌhoʊ məˈdʒi ni əs, -ˈdʒin yəs, ˌhɒm ə-(adj.)

  1. composed of parts or elements that are all of the same kind; not heterogeneous:

    a homogeneous population.

    Category: Genetics

  2. of the same kind or nature; essentially alike.

  3. Math. having a common property throughout: having all terms of the same degree:

    a homogeneous solid figure.

    a homogeneous equation.

    Category: Math

Origin of homogeneous:

1635–45; < ML homogeneus < Gk homogenḗs of the same kind; see homo -, -gen , -ous

ho`mo•ge′ne•ous•ly(adv.)

Princeton's WordNet

  1. homogeneous, homogenous(adj)

    all of the same or similar kind or nature

    "a close-knit homogeneous group"

Wiktionary

  1. homogeneous(Adjective)

    Of the same kind; alike, similar.

  2. homogeneous(Adjective)

    Having the same composition throughout; of uniform make-up.

  3. homogeneous(Adjective)

    in the same state of matter.

  4. homogeneous(Adjective)

    Of which the properties of a smaller set apply to the whole; scalable.

    The function f(x,y)=x+y is homogeneous of degree 2 because f(u03B1x,u03B1y)=u03B1f(x,y).

  5. Origin: From homogeneus, from ὁμογενής, from ὁμός + γένος. Compare homo- and -ous, adjectival suffix.

Webster Dictionary

  1. Homogeneous(adj)

    of the same kind of nature; consisting of similar parts, or of elements of the like nature; -- opposed to heterogeneous; as, homogeneous particles, elements, or principles; homogeneous bodies

  2. Homogeneous(adj)

    possessing the same number of factors of a given kind; as, a homogeneous polynomial

Freebase

  1. Homogeneous

    In set theory and in the context of a large cardinal property, a subset, S, of D is homogeneous for a function f if for some natural number n, is the domain of f and for some element r of the range of f, every member of is mapped to r. That is, f is constant on the unordered n-tuples of elements of S.


Translations for homogeneous

Kernerman English Multilingual Dictionary

homogeneous(adjective)

formed of parts or elements that are all of the same kind

homogeneous and heterogeneous classes; a homogeneous society.

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