The New Encyclopædia BritannicaEncyclopædia Britannica, 1983 - Encyclopedias and dictionaries |
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Page 509
... called vectors , is called a vector space , or a linear space , over a field if addition of vectors and multiplication of vectors by elements of are defined and satisfy 10 postulates ( see 20 ) . Basic concepts . The elements of & are ...
... called vectors , is called a vector space , or a linear space , over a field if addition of vectors and multiplication of vectors by elements of are defined and satisfy 10 postulates ( see 20 ) . Basic concepts . The elements of & are ...
Page 542
... called Noetherian . In the second half of the 20th century , with his theory of schemes , the mathe- matician A. Grothendieck has introduced a far - reaching generalization of both commutative ring theory and algebraic geometry ...
... called Noetherian . In the second half of the 20th century , with his theory of schemes , the mathe- matician A. Grothendieck has introduced a far - reaching generalization of both commutative ring theory and algebraic geometry ...
Page 545
... called a square n x n matrix over K. The matrix is called the matrix of u with respect to the basis ( e1 , ... , en ) , denoted M ( u ) . Any square n xn matrix over K is the matrix of some endomorphism u . Because endomorphisms and ...
... called a square n x n matrix over K. The matrix is called the matrix of u with respect to the basis ( e1 , ... , en ) , denoted M ( u ) . Any square n xn matrix over K is the matrix of some endomorphism u . Because endomorphisms and ...
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