different between homogeneous vs solvmanifold
homogeneous
English
Alternative forms
- homogenous (may be considered incorrect; see usage note at homogenous)
Etymology
From Medieval Latin homogeneus, from Ancient Greek ???????? (homogen?s, “of the same race, family or kind”), from ???? (homós, “same”) + ????? (génos, “kind”). Compare homo- (“same”) and -ous (adjectival suffix).
Pronunciation
- (UK) IPA(key): /?h?.m?(?)?d?i?.n??s/, /?h??.m?(?)?d?i?.n??s/
- (US) IPA(key): /?ho?.mo??d?i?.nj?s/, /?ho?.m??d?i?.nj?s/, /?ho?.mo??d??.nj?s/
Adjective
homogeneous (not comparable)
- Of the same kind; alike, similar.
- Having the same composition throughout; of uniform make-up.
- 1946, Bertrand Russell, History of Western Philosophy, I.25:
- Their citizens were not of homogeneous origin, but were from all parts of Greece.
- 1946, Bertrand Russell, History of Western Philosophy, I.25:
- (chemistry) in the same state of matter.
- (mathematics) Of which the properties of a smaller set apply to the whole; scalable.
- The function is homogeneous of degree 2 because .
Antonyms
- heterogeneous
Derived terms
Related terms
- homogeneity
- homogenise, homogenize
Translations
Further reading
- homogeneous in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
- homogeneous in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
- homogeneous at OneLook Dictionary Search
homogeneous From the web:
- what homogeneous mixture
- what homogeneous means
- what homogeneous mixture example
- what homogeneous of gelatin
- what homogeneous or heterogeneous
- what homogeneous of cup of milk
- what homogeneous and heterogeneous mixture
- what homogeneous in tagalog
solvmanifold
English
Etymology
Blend of solvable +? manifold
Noun
solvmanifold (plural solvmanifolds)
- (mathematics) A homogeneous space of a connected solvable Lie group.
solvmanifold From the web:
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