The New Encyclopędia Britannica: L-ZEncyclopędia Britannica, 1992 - 32 pages |
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Page 256
... polynomial in polynomial x of degree n and a , x " is the term of degree n − r in expressions f ( x ) . If g ( x ) is another polynomial of degree m ( see 16 ) , f ( x ) + g ( x ) is obtained by adding the terms of like degree , and f ...
... polynomial in polynomial x of degree n and a , x " is the term of degree n − r in expressions f ( x ) . If g ( x ) is another polynomial of degree m ( see 16 ) , f ( x ) + g ( x ) is obtained by adding the terms of like degree , and f ...
Page 257
... polynomial . If r ( x ) is a polynomial that is a factor of f ( x ) and g ( x ) , so that f ( x ) = 1 ( x ) r ( x ) , g ( x ) = m ( x ) r ( x ) , then b , ( x ) = [ p , ( x ) 1 ( x ) + q , ( x ) m ( x ) ] r ( x ) ; that is , r ( x ) is ...
... polynomial . If r ( x ) is a polynomial that is a factor of f ( x ) and g ( x ) , so that f ( x ) = 1 ( x ) r ( x ) , g ( x ) = m ( x ) r ( x ) , then b , ( x ) = [ p , ( x ) 1 ( x ) + q , ( x ) m ( x ) ] r ( x ) ; that is , r ( x ) is ...
Page 258
... polynomial of degree r - 1 or less that has r zeros is identically zero . Hence putting z = 0 , F ( x ,,・・・‚ X , ) equals ẞ ( see 36 ) , in which ẞ is a polynomial in the elementary symmetric polynomials y1 ,, 7. So if any polynomial ...
... polynomial of degree r - 1 or less that has r zeros is identically zero . Hence putting z = 0 , F ( x ,,・・・‚ X , ) equals ẞ ( see 36 ) , in which ẞ is a polynomial in the elementary symmetric polynomials y1 ,, 7. So if any polynomial ...
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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