Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 208-220
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P. V. Sporyshev. An application of integral geometry to linear inequality theory. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part V, Tome 123 (1983), pp. 208-220. http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a16/
@article{ZNSL_1983_123_a16,
author = {P. V. Sporyshev},
title = {An application of integral geometry to linear inequality theory},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {208--220},
year = {1983},
volume = {123},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a16/}
}
TY - JOUR
AU - P. V. Sporyshev
TI - An application of integral geometry to linear inequality theory
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 208
EP - 220
VL - 123
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a16/
LA - ru
ID - ZNSL_1983_123_a16
ER -
%0 Journal Article
%A P. V. Sporyshev
%T An application of integral geometry to linear inequality theory
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 208-220
%V 123
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_123_a16/
%G ru
%F ZNSL_1983_123_a16
A. M. Versik suggested to identify Linear Programming Problems space with the corresponding Grassmann manifold. A probablility measure is defined on the manifold. The average number of permissible bases and the measures of the problems with finite and infinite extreme are calculated.
