Definitions for homogeneousˌhoʊ məˈdʒi ni əs, -ˈdʒin yəs, ˌhɒm ə-
This page provides all possible meanings and translations of the word homogeneous
all of the same or similar kind or nature
"a close-knit homogeneous group"
Of the same kind; alike, similar.
Having the same composition throughout; of uniform make-up.
in the same state of matter.
Of which the properties of a smaller set apply to the whole; scalable.
The function f(x,y)=x+y is homogeneous of degree 2 because f(u03B1x,u03B1y)=u03B1f(x,y).
Origin: From homogeneus, from ὁμογενής, from ὁμός + γένος. Compare homo- and -ous, adjectival suffix.
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
possessing the same number of factors of a given kind; as, a homogeneous polynomial
Origin: [Gr. ; the same + race, kind: cf. F. homogne. See Same, and Kin.]
In set theory and in the context of a large cardinal property, a subset, S, of D is homogeneous for a function f if for some natural number n, is the domain of f and for some element r of the range of f, every member of is mapped to r. That is, f is constant on the unordered n-tuples of elements of S.
Sample Sentences & Example Usage
O my Brothers! love your Country. Our Country is our home, the home which God has given us, placing therein a numerous family which we love and are loved by, and with which we have a more intimate and quicker communion of feeling and thought than with others; a family which by its concentration upon a given spot, and by the homogeneous nature of its elements, is destined for a special kind of activity.
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Translations for homogeneous
From our Multilingual Translation Dictionary
- homogeniCatalan, Valencian
- homogenní, stejnorodýCzech
- homogen, gleichartigGerman
- ομογενής, ομοιογενήςGreek
- homogeeninen, tasa-aineinen, samanlainenFinnish
- eingerður, samkynja, einsleitur, samleitur, einleiturIcelandic
- 均質, 同質Japanese
- jednolity, jednorodnyPolish
- omogenă, omogenRomanian
- единообразный, однородный, гомогенныйRussian
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