homogeneous

- 8 dictionary results

ho⋅mo⋅ge⋅ne⋅ous

[hoh-muh-jee-nee-uh

s, -jeen-yuh

s, hom-uh-]

Use homogeneous in a Sentence

–adjective

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.

Mathematics.

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.

Origin:
1635–45; < ML homogeneus, equiv. to homogene- (s. of Gk homogen

s of the same kind; see homo-, gene ) + -us -ous

Related forms:

ho⋅mo⋅ge⋅ne⋅ous⋅ly, adverb

Synonyms:
1. unvarying, unmixed, alike, similar, identical.

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
Cite This Source

Link To homogeneous

ho·mo·ge·ne·ous (hō'mə-jē'nē-əs, -jēn'yəs)

adj.

Of the same or similar nature or kind: "a tight-knit, homogeneous society" (James Fallows).
Uniform in structure or composition throughout.
Mathematics Consisting of terms of the same degree or elements of the same dimension.

[From Medieval Latin homogeneus, from Greek homogenēs : homo-, homo- + genos, kind; see heterogeneous.]
ho'mo·ge'ne·ous·ly adv., ho'mo·ge'ne·ous·ness n.

The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
Cite This Source

Main Entry:	homogeneous
Part of Speech:	adj
Definition:	in chemistry, involving substances in the same phase (solid, liquid, or gas)
Example:	A homogeneous substance is salt, NaCl.

Dictionary.com's 21st Century Lexicon
Copyright © 2003-2009 Dictionary.com, LLC
Cite This Source

Language Translation for : homogeneous

Spanish: homogéneo,

German: homogen,

Japanese: 同質の

More Translations »

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, elements, or principles; homogeneous bodies.

2. (Alg.) Possessing the same number of factors of a given kind; as, a homogeneous polynomial.

homogeneous

1641, from M.L. homogeneus, from Gk. homogenes "of the same kind," from homos "same" (see same) + genos "kind, gender, race, stock" (see genus). Earlier in this sense was homogeneal (1603). Homogenize "make similar" formed in Eng. 1886; its sense of "render milk uniform in consistency" is from 1904.

Main Entry: ho·mo·ge·neous
Pronunciation: -'jE-nE-&s, -ny&s
Function: adjective
: of uniform structure or composition throughout —ho·mo·ge·neous·ly adverb —ho·mo·ge·neous·ness noun

homogeneous ho·mo·ge·ne·ous (hō'mə-jē'nē-əs, -jēn'yəs)
adj.

Of the same or similar nature or kind.
Uniform in structure or composition throughout, as of a chemical mixture.

homogeneous
(Or "homogenous") Of uniform nature, similar in kind.
1. In the context of distributed systems, middleware makes heterogeneous systems appear as a homogeneous entity. For example see: interoperable network.
Constrast heterogeneous.
2. (Of a polynomial) containing terms of the same degree with respect to all the variables, as in x^2 + 2xy + y^2.
3. (Of a function) containing a set of variables such that when each is multiplied by a constant, this constant can be eliminated without altering the value of the function, as in cos x/y + x/y.
4. (of an equation) containing a homogeneous function made equal to 0.
(1999-05-06)

Search another word or see homogeneous on Thesaurus | Reference

About · Privacy Policy · Terms of Use · Advertise with Us · Link to Us · NASCAR® · Contact Us