HOMOGENEOUS

homogeneous, homogenous

(adjective) all of the same or similar kind or nature; “a close-knit homogeneous group”

Source: WordNet® 3.1


Etymology

Adjective

homogeneous (not comparable)

Of the same kind; alike, similar.

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

(chemistry) in the same state of matter.

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

The function \(f(x,y)=x^2+y^2\) is homogeneous of degree 2 because \(f(\alpha x,\alpha y)=\alpha^2 f(x,y)\).

Antonyms

• heterogeneous

Source: Wiktionary


Ho`mo*ge"ne*ous, a. Etym: [Gr. homogène. 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.)

Definition: Possessing the same number of factors of a given kind; as, a homogeneous polynomial.

Source: Webster’s Unabridged Dictionary 1913 Edition



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Word of the Day

6 January 2025

PREMATURELY

(adverb) (of childbirth) before the end of the normal period of gestation; “the child was born prematurely”


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Coffee Trivia

Brazil is the largest coffee producer in the world. Each year Brazil exports more than 44 million bags of coffee. Vietnam follows at exporting over 27 million bags each year.

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