Homogeneous meaning

hōmə-jēnē-əs, -jēnyəs
Of the same or similar nature or kind.
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Consisting of parts that are the same; uniform in structure or composition.
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(mathematics) Consisting of terms of the same degree or elements of the same dimension.
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The same in structure, quality, etc.; similar or identical.
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Composed of similar or identical elements or parts; uniform.
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The same. Contrast with heterogeneous.
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Of the same kind; alike, similar.
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Having the same composition throughout; of uniform make-up.
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(chemistry) In the same state of matter.
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(mathematics) Of which the properties of a smaller set apply to the whole; scalable.

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

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The definition of homogeneous is all the same, or of a similar structure or quality.

When there are a group of kids who all look and dress exactly the same, this is an example of a homogeneous group.

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Origin of homogeneous

  • From Medieval Latin homogeneus from Greek homogenēs homo- homo- genos kind heterogeneous

    From American Heritage Dictionary of the English Language, 5th Edition

  • From Medieval Latin homogeneus, from Ancient Greek ὁμογενής (homogenēs, “of the same race, family or kind”), from ὁμός (homos, “same”) + γένος (genos, “kind”). Compare homo- (“same”) and -ous, adjectival suffix.

    From Wiktionary