The New Encyclopędia Britannica: L-ZEncyclopędia Britannica, 1992 - 32 pages |
From inside the book
Results 1-3 of 89
Page 282
... Fields ( Ma.H. ) Broadly speaking , a field is an algebraic system consisting of elements that are commonly called numbers , in which the four familiar operations of addition , subtraction , mul- tiplication , and division are ...
... Fields ( Ma.H. ) Broadly speaking , a field is an algebraic system consisting of elements that are commonly called numbers , in which the four familiar operations of addition , subtraction , mul- tiplication , and division are ...
Page 289
... field . In this ordered field , the set of all ordinary power series - i.e . , extended formal power series ( 288 ) with r≥ 0 — is a subring , hence a non - Archimedean ordered domain . It is evident that any subfield S of an ordered field ...
... field . In this ordered field , the set of all ordinary power series - i.e . , extended formal power series ( 288 ) with r≥ 0 — is a subring , hence a non - Archimedean ordered domain . It is evident that any subfield S of an ordered field ...
Page 290
... field . The field extension construction to be described gives the real field R from the rational field Q ; the complex field C from the field Q ( √ − 1 ) of all rational complex numbers r + s√ − 1 ( r , s = Q ) ; and a new family ...
... field . The field extension construction to be described gives the real field R from the rational field Q ; the complex field C from the field Q ( √ − 1 ) of all rational complex numbers r + s√ − 1 ( r , s = Q ) ; and a new family ...
Other editions - View all
Common terms and phrases
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