# homogeneous

homogeneous
/hoh'meuh jee"nee euhs, -jeen"yeuhs, hom'euh-/, 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. Math.
a. having a common property throughout: a homogeneous solid figure.
b. having all terms of the same degree: a homogeneous equation.
c. 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.
d. relating to a differential equation in which a linear combination of derivatives is set equal to zero.
[1635-45; < ML homogeneus, equiv. to homogene- (s. of Gk homogenés of the same kind; see HOMO-, GENE) + -us -OUS]
Syn. 1. unvarying, unmixed, alike, similar, identical.

* * *

Universalium. 2010.

Synonyms:

### Look at other dictionaries:

• homogeneous — homogeneous, homogenous Homogeneous is pronounced with the stress on the third syllable and means ‘of the same kind’: • The most common way of grouping was to sort the children by ability…and to make the groups as homogeneous as possible R.… …   Modern English usage

• Homogeneous — Ho mo*ge ne*ous, a. [Gr. ?; ? the same + ? race, kind: cf. F. homog[ e]ne. See {Same}, and {Kin}.] 1. Of the same kind of nature; consisting of similar parts, or of elements of the like nature; opposed to heterogeneous; as, homogeneous particles …   The Collaborative International Dictionary of English

• homogeneous — index boiler plate, cognate, comparable (capable of comparison), identical, pure, similar, simple, uniform …   Law dictionary

• homogeneous — 1640s, from M.L. homogeneus, from Gk. homogenes of the same kind, from homos same (see HOMO (Cf. homo ) (1)) + genos kind, gender, race, stock (see GENUS (Cf. genus)). Earlier in this sense was homogeneal (c.1600) …   Etymology dictionary

• homogeneous — ► ADJECTIVE 1) of the same kind. 2) consisting of parts all of the same kind. DERIVATIVES homogeneity noun homogeneously adverb homogeneousness noun. ORIGIN Greek homogen s, from homos same + genos race, kind …   English terms dictionary

• homogeneous — [hō΄mō jē′nē əs, hō΄məjē nē əs; häm΄ōjē′nē əs, häm΄əjē′nē əs] adj. [ML homogeneus < Gr homogenēs, of the same race or kind: see HOMO & GENUS] 1. the same in structure, quality, etc.; similar or identical 2. composed of similar or identical… …   English World dictionary

• homogeneous — [[t]hɒ̱məʤi͟ːniəs, ho͟ʊ [/t]] also homogenous ADJ GRADED Homogeneous is used to describe a group or thing which has members or parts that are all the same. [FORMAL] The unemployed are not a homogeneous group... Russia is ethnically relatively… …   English dictionary

• homogeneous — ho•mo•ge•ne•ous [[t]ˌhoʊ məˈdʒi ni əs, ˈdʒin yəs, ˌhɒm ə [/t]] adj. 1) gen composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population[/ex] 2) of the same kind or nature; essentially alike 3) Math. a)… …   From formal English to slang

• homogeneous — adjective Etymology: Medieval Latin homogeneus, homogenus, from Greek homogenēs, from hom + genos kind more at kin Date: 1641 1. of the same or a similar kind or nature 2. of uniform structure or composition throughout < a culturally homogeneous… …   New Collegiate Dictionary

• homogeneous — adj. VERBS ▪ be ▪ become ADVERB ▪ remarkably, very ▪ fairly, relatively …   Collocations dictionary