The New Encyclopędia Britannica: L-ZEncyclopędia Britannica, 1992 - 32 pages |
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Page 263
... finite or infinite , but a linear combination ( see 99 ) must have only a finite number of nonzero terms . If the subspace spanned by the set H is U itself , then H is called a spanning set or generating system of U. If U is spanned by ...
... finite or infinite , but a linear combination ( see 99 ) must have only a finite number of nonzero terms . If the subspace spanned by the set H is U itself , then H is called a spanning set or generating system of U. If U is spanned by ...
Page 272
... Finite distributive lattices . The most general finite dis- tributive lattice may be constructed by a simple general- ization of Skolem's theorem . Namely , L is assumed to be any finite distributive lattice , and A is assumed to be the ...
... Finite distributive lattices . The most general finite dis- tributive lattice may be constructed by a simple general- ization of Skolem's theorem . Namely , L is assumed to be any finite distributive lattice , and A is assumed to be the ...
Page 281
... finite ? If F = ( a1 , ... , a , ) is the free group with r generators and if KK , is the subgroup of F generated by x " for every x of F , then K is necessarily a normal subgroup of F , and B ( n , r ) = F / K , is a group with r ...
... finite ? If F = ( a1 , ... , a , ) is the free group with r generators and if KK , is the subgroup of F generated by x " for every x of F , then K is necessarily a normal subgroup of F , and B ( n , r ) = F / K , is a group with r ...
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20th century Abelian group addition aesthetic Afghanistan agriculture Albania alcohol algae algebra animals basin called central centre ceremonial climate coast common complex numbers Congo contains Cōte d'Ivoire countries crops cultivation culture dance defined desert developed drinking drug East eastern economic Egypt elements equations European example farm feet field Figure finite fish forest functor Igbo important Indians integers irrigation isomorphism Kabul Kenya Lake Lake Chad Lake Victoria land language lattice Lie algebra linear major mapping miles modern mountains Niger Nigeria Nile northern operations patterns percent period Plains plants Plateau polynomial population rainfall real numbers region ring ritual River Sahara savanna social soil South Africa southern Africa species subgroup Sudan Tanzania theory tion traditional tribes tropical United valley vector space vegetation village West Africa western x₁ Yoruba Zaire Zambia Zimbabwe