On the number of nonnegative sums for certain function

On the number of nonnegative sums for certain function

Let [n] = {1 , 2 , ⋯ , n}. For each i ∈ [k] and j ∈ [n], let wᵢ(j) be a real number. Suppose that ∑ i∈[k], j∈[n] wᵢ(j) ≥ 0. Let F be the set of all functions with domain [k] and codomain [n]. For each f ∈ F, let w(f) = w₁(f(1)) + w₂(f(2)) + ⋯ + wk (f(k)). A function f ∈ F is said to be nonnegative i...

Fuld beskrivelse

Bibliografiske detaljer
Main Authors:	Ku, Cheng Yeaw, Wong, Kok Bin
Andre forfattere:	School of Physical and Mathematical Sciences
Format:	Journal Article
Sprog:	English
Udgivet:	2022
Fag:	Science::Mathematics Subset Sums Extremal Problems
Online adgang:	https://hdl.handle.net/10356/161257

Lignende værker

On the number of nonnegative sums for semi-partitions
af: Ku, Cheng Yeaw, et al.
Udgivet: (2022)

Generalized H-fold sumset and Subsequence sum
af: Mohan, et al.
Udgivet: (2024-02-01)

Basis Reduction Algorithms and Subset Sum Problems
af: LaMacchia, Brian A.
Udgivet: (2004)

Eisenstein series and convolution sums
af: Aygin, Zafer Selcuk
Udgivet: (2020)

On the cardinality of subsequence sums II
af: Jiang, Xing-Wang, et al.
Udgivet: (2024-11-01)

On stabilizing index and cyclic index of certain amalgamated uniform hypergraphs
af: Ku, Cheng Yeaw, et al.
Udgivet: (2024)

Erdős-Ko-Rado theorems for set partitions with certain block size
af: Ku, Cheng Yeaw, et al.
Udgivet: (2021)

Dim sum kitchen /
af: Tan, Melody
Udgivet: (2009)

On diversity of certain T-intersecting families
af: Ku, Cheng Yeaw, et al.
Udgivet: (2021)

The spectrum of eigenvalues for certain subgraphs of the k -point fixing graph
af: Ku, Cheng Yeaw, et al.
Udgivet: (2018)

On cross Parsons numbers
af: Ku, Cheng Yeaw, et al.
Udgivet: (2021)

Bound of character sums associated with Beatty sequences
af: Deraman, Fatanah
Udgivet: (2020)

A generalization of a theorem by Cheo and Yien concerning digital sums
af: Curtis N. Cooper, et al.
Udgivet: (1986-01-01)

On Large Sum-Free Sets: Revised Bounds and Patterns
af: Renato Cordeiro de Amorim
Udgivet: (2024-12-01)

Average Size of Ramanujan Sum Associated with Divisor Function
af: Xin Li, et al.
Udgivet: (2025-02-01)

An Estimation of Exponential Sums Associated with a Cubic Form Polynomial
af: Heng, Swee Huay
Udgivet: (1999)

On the sum-of-squares degree of symmetric quadratic functions
af: de Wolf, Ronald, et al.
Udgivet: (2018)

Sums of squares of integers /
af: Moreno, Carlos J., 1946-, et al.
Udgivet: (2006)

Group Constant-Sum Spectrum of Nearly Regular Graphs
af: Tao-Ming Wang
Udgivet: (2025-01-01)

On some double-sum false theta series
af: Chan, Song Heng, et al.
Udgivet: (2019)

On the spectrum of the metaplectic group with applications to Dedekind sums
af: Vardi, Ilan
Udgivet: (2014)

On the distribution function and moments of power sums with log-normal components /
af: 427956 Schwartz, S. C., et al.

On Eisenstein series in M2k(Γ0(N)) and their applications
af: Aygin, Zafer Selcuk
Udgivet: (2020)

Analytical Relations and Statistical Estimations for Sums of Powered Integers
af: Stan Lipovetsky
Udgivet: (2025-01-01)

FINDING OF OPTIMAL SUBSET STRUCTURE IN THE KNAPSACK PROBLEM
af: S. V. Chebakov, et al.
Udgivet: (2019-10-01)

Zero-sum partition theorems for graphs
af: Y. Caro, et al.
Udgivet: (1994-01-01)

Limit laws for extreme order statistics form strong-mixing processes,
af: Welsch, Roy E.
Udgivet: (2009)

Diversity and intersecting theorems for weak compositions
af: Ku, Cheng Yeaw, et al.
Udgivet: (2024)

Eigenvalues of the matching derangement graph
af: Ku, Cheng Yeaw, et al.
Udgivet: (2018)

On No-Three-In-Line Problem on m-Dimensional Torus
af: Ku, Cheng Yeaw, et al.
Udgivet: (2018)

Non-zero-sum reinsurance games subject to ambiguous correlations
af: Pun, Chi Seng, et al.
Udgivet: (2016)

The spectrum of eigenvalues for certain subgraphs of the k-point fixing graph
af: Ku, Cheng Yeaw, et al.
Udgivet: (2018)

ON CALCULATING SUMS OF SOME DOUBLE SERIES
af: V. I. Kuzovatov, et al.
Udgivet: (2024-11-01)

ON APPROXIMATION OF SUM OF CONVERGENT SERIES
af: Daya Ram Paudyal, et al.
Udgivet: (2020-09-01)

Recursive determination of the enumerator for sums of three squares
af: John A. Ewell
Udgivet: (2000-01-01)

Sufficient condition and partial sums of certain analytic functions / Busyra Latif
af: Latif, Busyra
Udgivet: (2014)

Inverse design of nonlinear metasurfaces for sum frequency generation
af: Li Neuton, et al.
Udgivet: (2024-06-01)

More simple solution of not so simple problems – how does it happen?
af: Romualdas Kašuba
Udgivet: (2023-09-01)

Some properties of power sums of truncated normal random variables /
af: 265334 Nasell, Ingemar

Direct sums of J-rings and radical rings
af: Xiuzhan Guo
Udgivet: (1995-01-01)