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

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Page 264

Similarly in U3(SR), the parallelepiped with edges Y|, V2, V, is

the parallelepiped with edges rV,, tV2, ... If U is a vector space over 3, then a

linear functional on U is a

properties ...

Similarly in U3(SR), the parallelepiped with edges Y|, V2, V, is

**mapped**by x ontothe parallelepiped with edges rV,, tV2, ... If U is a vector space over 3, then a

linear functional on U is a

**mapping**x from U into 3 such that the linearityproperties ...

Page 274

Many of the important applications of groups come from the fact that groups arise

naturally from one-to-one

Many of the important applications of groups come from the fact that groups arise

naturally from one-to-one

**map**-**Mappings**pings (sometimes called bijections). A**mapping**a of a set S into a set T may be considered a rule (or function) that ...Page 276

The

isomorphism because products are ... FACTOR GROUPS It is often possible to

same ...

The

**mapping**(h)a = xr^hx from the subgroup H onto the subgroup x~lHx is anisomorphism because products are ... FACTOR GROUPS It is often possible to

**map**a group G onto a smaller group //,**mapping**several elements of G onto thesame ...

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