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SOME REMARKS ON PROJECTION METHODS

SOME REMARKS ON PROJECTION METHODS DEMONS^RATIO MATHEMATICAVol. XVIINo 21984Andrzej StuzalecSOME REMARKS ON PROJECTION METHODS1. IntroductionThe methods of projection usually make possible to r e construct any manifold from i t s views. For t h i s purpose aprojection from one centre onto one plane i s never s u f f i c i e n t *One needs projection methods consisting of several project i o n s . In t h i s paper we desoribe the system of projections,where the projection centre and projection plane have anydimensions. The analysis of t h i s paper contains theorems,which are true i n the spaoes constructed over any f i e l d andin whioh the spaoes have arbitrary dimension. In the f i r s tpart of the work the projective space w i l l be defined as ametric l a t t i c e , because i t i s well known n-dimensional proj e c t i v e space over any f i e l d i s a metric l a t t i c e (see [ 1 ] ) .D e f i n i t i o n1.The struoture <E,^,r>> w i http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

SOME REMARKS ON PROJECTION METHODS

Demonstratio Mathematica , Volume 17 (2): 16 – Apr 1, 1984

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Publisher
de Gruyter
Copyright
© by Andrzej Służalec
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1984-0208
Publisher site
See Article on Publisher Site

Abstract

DEMONS^RATIO MATHEMATICAVol. XVIINo 21984Andrzej StuzalecSOME REMARKS ON PROJECTION METHODS1. IntroductionThe methods of projection usually make possible to r e construct any manifold from i t s views. For t h i s purpose aprojection from one centre onto one plane i s never s u f f i c i e n t *One needs projection methods consisting of several project i o n s . In t h i s paper we desoribe the system of projections,where the projection centre and projection plane have anydimensions. The analysis of t h i s paper contains theorems,which are true i n the spaoes constructed over any f i e l d andin whioh the spaoes have arbitrary dimension. In the f i r s tpart of the work the projective space w i l l be defined as ametric l a t t i c e , because i t i s well known n-dimensional proj e c t i v e space over any f i e l d i s a metric l a t t i c e (see [ 1 ] ) .D e f i n i t i o n1.The struoture <E,^,r>> w i

Journal

Demonstratio Mathematicade Gruyter

Published: Apr 1, 1984

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