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Meaning of homogeneous

ho•mo•ge•ne•ous

Pronunciation: (hō"mu-jē'nē-us, -jēn'yus, hom"u-), [key]
— adj.
  1. composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.
  2. of the same kind or nature; essentially alike.
  3. a homogeneous solid figure.
    1. having a common property throughout:a homogeneous solid figure.
    2. having all terms of the same degree:a homogeneous equation.
    3. relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x2y3 is a homogeneous expression of degree 5.
    4. relating to a differential equation in which a linear combination of derivatives is set equal to zero.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.
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