The New Encyclopędia Britannica: L-ZEncyclopędia Britannica, 1992 - 32 pages |
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Page 264
... mapping ' , also a linear operator , such that ̄ ̄ ̄ ' t = tt ̃ ̄ ' = I , in which I is the identity mapping on U. An operator t is nonsingular , if and only if the matrix A ( ) is nonsingular ; then the matrix of the inverse of t is ...
... mapping ' , also a linear operator , such that ̄ ̄ ̄ ' t = tt ̃ ̄ ' = I , in which I is the identity mapping on U. An operator t is nonsingular , if and only if the matrix A ( ) is nonsingular ; then the matrix of the inverse of t is ...
Page 274
... mapping a is said to be a mapping of S onto T ( rather than into 7 ) providing that for every y of T there is at least one x of S such that y = ( x ) a . Such a mapping is also called a surjection . If the mapping a also has the ...
... mapping a is said to be a mapping of S onto T ( rather than into 7 ) providing that for every y of T there is at least one x of S such that y = ( x ) a . Such a mapping is also called a surjection . If the mapping a also has the ...
Page 276
... map a group G onto a smaller group H , mapping several elements of G onto the same element of H , and to do this so that the product rules are preserved . Such a mapping is called a homomorphism . For example , the real numbers with ...
... map a group G onto a smaller group H , mapping several elements of G onto the same element of H , and to do this so that the product rules are preserved . Such a mapping is called a homomorphism . For example , the real numbers with ...
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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