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Perimeter preservers of nonnegative integer matrices
, 2004
"... Abstract. We investigate the perimeter of nonnegative integer matrices. We also characterize the linear operators which preserve the rank and perimeter of nonnegative integer matrices. That is, a linear operator T preserves the rank and perimeter of rank1 matrices if and only if it has the form T ..."
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Abstract. We investigate the perimeter of nonnegative integer matrices. We also characterize the linear operators which preserve the rank and perimeter of nonnegative integer matrices. That is, a linear operator T preserves the rank and perimeter of rank1 matrices if and only if it has the form
kcomplementing subsets of nonnegative integers
 Int. J. Math. Math. Sci
"... Acollection{S1,S2,...} of nonempty sets is called a complementing system of subsets for a set X of nonnegative integers if every element of X can be uniquely expressed as a sum of elements of the sets S1,S2,.... We present a complete characterization of all complementing systems of subsets for the s ..."
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Cited by 3 (2 self)
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Acollection{S1,S2,...} of nonempty sets is called a complementing system of subsets for a set X of nonnegative integers if every element of X can be uniquely expressed as a sum of elements of the sets S1,S2,.... We present a complete characterization of all complementing systems of subsets
On the Entropy of Compound Distributions on Nonnegative Integers
"... Some entropy comparison results are presented concerning compound distributions on nonnegative integers. The main result shows that, under a logconcavity assumption, two compound distributions are ordered in terms of Shannon entropy if both the “numbers of claims ” and the “claim sizes ” are order ..."
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Cited by 13 (8 self)
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Some entropy comparison results are presented concerning compound distributions on nonnegative integers. The main result shows that, under a logconcavity assumption, two compound distributions are ordered in terms of Shannon entropy if both the “numbers of claims ” and the “claim sizes
BINARY RANKS AND BINARY FACTORIZATIONS OF NONNEGATIVE INTEGER MATRICES ∗
"... Abstract. A matrix is binary if each of its entries is either 0 or 1. The binary rank of a nonnegative integer matrix A is the smallest integer b such that A = BC, where B and C are binary matrices, and B has b columns. In this paper, bounds for the binary rank are given, and nonnegative integer mat ..."
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Abstract. A matrix is binary if each of its entries is either 0 or 1. The binary rank of a nonnegative integer matrix A is the smallest integer b such that A = BC, where B and C are binary matrices, and B has b columns. In this paper, bounds for the binary rank are given, and nonnegative integer
Representations of integers by linear forms in nonnegative integers
 J. NUMBER THEORY
, 1972
"... Let Sz be the set of positive integers that are omitted values of the form f = z” = *1 a.x. $1) where the a, are fixed and relatively prime natural numbers and the xi are variable nonnegative integers. Set w = #Q and K = max 0 + 1 (the conductor). Properties of w and K are studied, such as an estima ..."
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Cited by 25 (1 self)
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Let Sz be the set of positive integers that are omitted values of the form f = z” = *1 a.x. $1) where the a, are fixed and relatively prime natural numbers and the xi are variable nonnegative integers. Set w = #Q and K = max 0 + 1 (the conductor). Properties of w and K are studied
Moments Equalities for Nonnegative IntegerValued Random Variables
 TURK J MATH
, 2004
"... We present and prove two theorems about equalities for the nth moment of nonnegative integervalued random variables. These equalities generalize the well known equality for the rst moment of a nonnegative integervalued random variable X in terms of its cumulative distribution function, or in terms ..."
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We present and prove two theorems about equalities for the nth moment of nonnegative integervalued random variables. These equalities generalize the well known equality for the rst moment of a nonnegative integervalued random variable X in terms of its cumulative distribution function
Factors of disconnected graphs and polynomials with nonnegative integer coefficients
, 2010
"... ..."
Quantization of Multiple Sources Using Nonnegative Integer Bit Allocation
"... Abstract—Asymptotically optimal realvalued bit allocation among a set of quantizers for a finite collection of sources was derived in 1963 by Huang and Schultheiss, and an algorithm for obtaining an optimal nonnegative integervalued bit allocation was given by Fox in 1966. We prove that, for a giv ..."
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Abstract—Asymptotically optimal realvalued bit allocation among a set of quantizers for a finite collection of sources was derived in 1963 by Huang and Schultheiss, and an algorithm for obtaining an optimal nonnegative integervalued bit allocation was given by Fox in 1966. We prove that, for a
For a nonnegative integer n and an integer m, let A(n,m) = #
, 1998
"... Abstract. Let A(n,m) be the number of solutions of ∑n k=−n kk =m where each k ∈ {0,1}. We determine the asymptotic behavior of A(n,m) for m = o(n3/2), extending results of van Lint and of Entringer. ..."
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Abstract. Let A(n,m) be the number of solutions of ∑n k=−n kk =m where each k ∈ {0,1}. We determine the asymptotic behavior of A(n,m) for m = o(n3/2), extending results of van Lint and of Entringer.
The spectra of nonnegative integer matrices via formal power series
 J. Amer. Math. Soc
"... An old problem in matrix theory is to determine the ntuples of complex numbers which can occur as the spectrum of a matrix with nonnegative entries (see [BP94, Chapter 4] or [Min88, Chapter VII]). Authors have studied the case where the ntuple is comprised of real numbers [Bor95, Cia68, Fri78, Kel ..."
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Cited by 18 (2 self)
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An old problem in matrix theory is to determine the ntuples of complex numbers which can occur as the spectrum of a matrix with nonnegative entries (see [BP94, Chapter 4] or [Min88, Chapter VII]). Authors have studied the case where the ntuple is comprised of real numbers [Bor95, Cia68, Fri78
Results 1  10
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2,345