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THE FORMULAS FOR DECOMPOSITION OF PROJECTIVE AND AFFINE SPACES

THE FORMULAS FOR DECOMPOSITION OF PROJECTIVE AND AFFINE SPACES DEMONSTRATIO MATHEMATICAVol. XINo 1D e d i c a t e dto191»P r o f e s s o rStefan StraazewicrBogustaw GrochowskiTHE FORMULAS FOR DECOMPOSITIONOF PROJECTIVE AND AFFINE SPACESI .Theorem1 .I f( 1 )R ( n , 1 ).=1f o rn=--( 2 )R ( l , k )=kf o rk=1 , 2 , 3 , . . .,1 , 2 , 3 , . . .a n d( 3 )R ( n , k )f o rn=2 , 3 , 4 , . . .a n d=kR ( n , k - 1 )=+R ( n - 1 , k - l )2 , 3 , 4 , . . . ,t h e ne\2>- LCJWf o rn=1 , 2 , 3 , . . .a n dk=1 , 2 , 3 , .V n - 2 1 /i = 0Pro1 ° .oL e tf.kWe=( 5 )1p r o c e d ea n d1R ( 2 1 , 1 )=b yi n d u c t i o n1 , 2 , 3 , . . .= 5 " "(4 — -1We)w i t hr e s p e c th a v e=\ 2 1 - 2 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

THE FORMULAS FOR DECOMPOSITION OF PROJECTIVE AND AFFINE SPACES

Demonstratio Mathematica , Volume 11 (1): 6 – Jan 1, 1978

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References (1)

Publisher
de Gruyter
Copyright
© by Bogustaw Grochowski
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1978-0107
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO MATHEMATICAVol. XINo 1D e d i c a t e dto191»P r o f e s s o rStefan StraazewicrBogustaw GrochowskiTHE FORMULAS FOR DECOMPOSITIONOF PROJECTIVE AND AFFINE SPACESI .Theorem1 .I f( 1 )R ( n , 1 ).=1f o rn=--( 2 )R ( l , k )=kf o rk=1 , 2 , 3 , . . .,1 , 2 , 3 , . . .a n d( 3 )R ( n , k )f o rn=2 , 3 , 4 , . . .a n d=kR ( n , k - 1 )=+R ( n - 1 , k - l )2 , 3 , 4 , . . . ,t h e ne\2>- LCJWf o rn=1 , 2 , 3 , . . .a n dk=1 , 2 , 3 , .V n - 2 1 /i = 0Pro1 ° .oL e tf.kWe=( 5 )1p r o c e d ea n d1R ( 2 1 , 1 )=b yi n d u c t i o n1 , 2 , 3 , . . .= 5 " "(4 — -1We)w i t hr e s p e c th a v e=\ 2 1 - 2

Journal

Demonstratio Mathematicade Gruyter

Published: Jan 1, 1978

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