A theorem on the local rank of one-place predicates
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 787-790
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The language of the narrow calculus of predicates is used to described problems involving the calculation of the aggregated of estimates of a one-place predicate on the elements of a set with the aid of local means. It is proved that the calculation of a majorant function is in the general case involves selecting the subsets of elements of the neighbourhood of maximal degree participating in the description of the problem.
@article{ZVMMF_1979_19_3_a24,
author = {A. P. Vinogradov},
title = {A~theorem on the local rank of one-place predicates},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {787--790},
year = {1979},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a24/}
}
A. P. Vinogradov. A theorem on the local rank of one-place predicates. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 787-790. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a24/