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2 results on '"SUM"'

1. Design of Splash Plate Dielectric Hat Feed for Ka-Band Tracking Radar Applications

Author

Singh, Tarlok, Srivastava, Indira, Jha, Bal Mukund, Kacprzyk, Janusz, Series Editor, Gomide, Fernando, Advisory Editor, Kaynak, Okyay, Advisory Editor, Liu, Derong, Advisory Editor, Pedrycz, Witold, Advisory Editor, Polycarpou, Marios M., Advisory Editor, Rudas, Imre J., Advisory Editor, Wang, Jun, Advisory Editor, Rawat, Sanyog, editor, Kumar, Arvind, editor, Raman, Ashish, editor, Kumar, Sandeep, editor, and Pathak, Parul, editor

Published
2025
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2. Signs behaviour of sums of weighted numbers of compositions: Signs behaviour of sums of weighted...: F. Gawron and M. Ulas.

Author

Gawron, Filip and Ulas, Maciej

Abstract

Let A be a subset of positive integers. For a given positive integer n and 0 ≤ i ≤ n , let c A (i , n) denote the number of A-compositions of n with exactly i parts. In this note, we investigate the sign behaviour of the sequence (S A , k (n)) n ∈ N , where S A , k (n) = ∑ i = 0 n (- 1) k i k c A (i , n) . We prove that for a broad class of subsets A, the number (- 1) n S A , k (n) is non-negative for all sufficiently large n. Moreover, we show that there exists A ⊂ N + such that the sign behaviour of S A , k (n) is not periodic. [ABSTRACT FROM AUTHOR]

Published
2025
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