The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |
From inside the book
Results 1-3 of 79
Page 263
The set 5) may be 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 5) is U
itself, then S) is called a spanning set or generating system of U. If U is spanned
by ...
The set 5) may be 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 5) is U
itself, then S) is called a spanning set or generating system of U. If U is spanned
by ...
Page 272
The most general finite distributive lattice may be constructed by a simple
generalization of Skolem's theorem. Namely, L is assumed to be any finite
distributive lattice, and A is assumed to be the set of all properly join-irreducible
elements of L; ...
The most general finite distributive lattice may be constructed by a simple
generalization of Skolem's theorem. Namely, L is assumed to be any finite
distributive lattice, and A is assumed to be the set of all properly join-irreducible
elements of L; ...
Page 281
If a group G is generated by r elements, G = ( bt, □ • • , br), and if for a fixed n, x" =
1 for every element of G, is G necessarily finite? If Fr = (^a„ • □ □ , ar~) is the free
group with r generators and if K= Kn is the subgroup of F generated by x" for ...
If a group G is generated by r elements, G = ( bt, □ • • , br), and if for a fixed n, x" =
1 for every element of G, is G necessarily finite? If Fr = (^a„ • □ □ , ar~) is the free
group with r generators and if K= Kn is the subgroup of F generated by x" for ...
What people are saying - Write a review
The New Encyclopaedia Britannica (Encyclopaedia)
User Review - Not Available - Book VerdictFor virtually all its 238 years,Britannica has ruled the shelves as a peerless general encyclopedia. Reviewers have consistently given it high marks for most of the 12 criteria identified inKister's ... Read full review
Other editions - View all
Common terms and phrases
20th century Abelian group addition Afghanistan agriculture Albania alcohol algae algebra animals basin called central centre ceremonial climate coast common complex numbers Congo contains Cote d'lvoire countries crops cultivation culture dance defined desert developed drinking drug East eastern economic Egypt elements equations European example farming feet field Figure finite fish forest function functor important Indians integers irrigation isomorphism Kabul Kalahari Kenya Lake Lake Chad Lake Victoria land languages lattice Lie algebra linear major mapping miles modern mountains multiplication Niger Nigeria Nile northern operations patterns percent period Plains plants Plateau polynomial population problem rainfall real numbers region ring ritual River Sahara savanna social soil South Africa southern Africa species structure subgroup Sudan Tanzania theory tion traditional tribes tropical United valley vector space vegetation village West Africa western Yoruba Zaire Zimbabwe