## The new encyclopaedia Britannica: in 32 vol. Macropaedia, Accounting - Architecture, Volume 13 |

### From inside the book

Results 1-3 of 43

Page 263

The sum of the subspaces 6a is the space spanned by the set of all vectors V

such that V belongs to at least one of the ... The vectors V,, V2, • • • , Vr in a

The sum of the subspaces 6a is the space spanned by the set of all vectors V

such that V belongs to at least one of the ... The vectors V,, V2, • • • , Vr in a

**vector****space**U over 3 are linearly dependent, or constitute a linearly dependent set, ...Page 267

spaces over 3, and if t is a bilinear mapping from U, X U2 into '21, then the pair (

31, x) is a tensor product of the vector ... there exists a unique linear

transformation <p from "21 into an arbitrary

a (see 1 32).

spaces over 3, and if t is a bilinear mapping from U, X U2 into '21, then the pair (

31, x) is a tensor product of the vector ... there exists a unique linear

transformation <p from "21 into an arbitrary

**vector space**3 over 3, such that (px =a (see 1 32).

Page 456

a similar sense from the space of all ordered pairs of vectors into the real

numbers between 0 and n. ... Normally the set of scalars is assumed to be a field,

although a comparable theory of

scalars ...

a similar sense from the space of all ordered pairs of vectors into the real

numbers between 0 and n. ... Normally the set of scalars is assumed to be a field,

although a comparable theory of

**vector spaces**exists for the case in which thescalars ...

### What people are saying - Write a review

#### LibraryThing Review

User Review - keylawk - LibraryThingThis is the 198215th Edition, in two halves, with the Macropaedia and the Micropaedia. First published in 1768, the publisher is the oldest English-language encyclopedia still in print. Two Scottish ... Read full 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