The New Encyclopędia Britannica: L-ZEncyclopędia Britannica, 1992 - 32 pages |
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Page 269
... elements. DEFINITIONS AND EXAMPLES Partial orderings . In detail , given a selected family S of different parts of the same whole , these parts can be represented symbolically by letters x , y ,, xzy sig- , x≥ y sig- nifying that x ...
... elements. DEFINITIONS AND EXAMPLES Partial orderings . In detail , given a selected family S of different parts of the same whole , these parts can be represented symbolically by letters x , y ,, xzy sig- , x≥ y sig- nifying that x ...
Page 275
... elements of a group G that is itself a group under the composition for G is called a subgroup . In many important cases the elements of a group that have certain properties form a subgroup . For example , the one - to - one mappings of ...
... elements of a group G that is itself a group under the composition for G is called a subgroup . In many important cases the elements of a group that have certain properties form a subgroup . For example , the one - to - one mappings of ...
Page 291
... elements of R a well - defined element of R , denoted by x + y ; this addition satisfies the axioms of associativity , commutativity , the existence of a zero element , and the axiom assuring that for every element there is an opposite ...
... elements of R a well - defined element of R , denoted by x + y ; this addition satisfies the axioms of associativity , commutativity , the existence of a zero element , and the axiom assuring that for every element there is an opposite ...
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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