Proceedings of the American Academy of Arts and Sciences, Том 48American Academy of Arts and Sciences., 1913 |
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Страница 43
... space in all the oceans of the globe . It was well known to some of Agassiz's friends that he had bestowed much thought upon a plan for giving to this Academy a more satis- factory house than any it had yet had . He had made provision ...
... space in all the oceans of the globe . It was well known to some of Agassiz's friends that he had bestowed much thought upon a plan for giving to this Academy a more satis- factory house than any it had yet had . He had made provision ...
Страница 45
... spaces fixed , the other satisfies a linear relation and such that for three spaces R , R ' , R " of a pencil RR ' + R'R " + R " R = 0 . Any distance between points that has these properties is expressible in terms of a hyperplane and a ...
... spaces fixed , the other satisfies a linear relation and such that for three spaces R , R ' , R " of a pencil RR ' + R'R " + R " R = 0 . Any distance between points that has these properties is expressible in terms of a hyperplane and a ...
Страница 46
... spaces . Each of the complexes of the fundamental system is an infinite locus for spaces complimentary to it . The ... space than a like number of points usually determine . The coordinates of the line joining A and B are proportional ...
... spaces . Each of the complexes of the fundamental system is an infinite locus for spaces complimentary to it . The ... space than a like number of points usually determine . The coordinates of the line joining A and B are proportional ...
Страница 49
... space as generated by planes as well as by points . If its coordinates are a ;, a plane a is then represented by a matrix α = The same plane may be represented by a matrix [ A B C ] . Then the coordinates a , are proportional to the ...
... space as generated by planes as well as by points . If its coordinates are a ;, a plane a is then represented by a matrix α = The same plane may be represented by a matrix [ A B C ] . Then the coordinates a , are proportional to the ...
Страница 51
... space . Thus a point is of order one , a line of order two , etc. A space of order n can be generated either by points or by hyperplanes of order n - 1 . A space R of order r < n can be determined by a set of r points A , giving rise to ...
... space . Thus a point is of order one , a line of order two , etc. A space of order n can be generated either by points or by hyperplanes of order n - 1 . A space R of order r < n can be determined by a set of r points A , giving rise to ...
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