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

1 June 2024

REDEYE

(noun) a night flight from which the passengers emerge with eyes red from lack of sleep; “he took the redeye in order to get home the next morning”


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Coffee Trivia

The word “coffee” entered the English language in 1582 via the Dutch “koffie,” borrowed from the Ottoman Turkish “kahve,” borrowed in turn from the Arabic “qahwah.” The Arabic word qahwah was traditionally held to refer to a type of wine.

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