Results 11 to 20 of about 1,150 (221)
On Exact Division and Divisibility Testing for Sparse Polynomials [PDF]
No polynomial-time algorithm is known to test whether a sparse polynomial G divides another sparse polynomial $F$. While computing the quotient Q=F quo G can be done in polynomial time with respect to the sparsities of F, G and Q, this is not yet sufficient to get a polynomial-time divisibility test in general.
Pascal Giorgi +2 more
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Fair Division of Mixed Divisible and Indivisible Goods [PDF]
We study the problem of fair division when the resources contain both divisible and indivisible goods. Classic fairness notions such as envy-freeness (EF) and envy-freeness up to one good (EF1) cannot be directly applied to the mixed goods setting. In this work, we propose a new fairness notion envy-freeness for mixed goods (EFM), which is a direct ...
Xiaohui Bei +4 more
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To appear in Mathematics in Computer ...
Nello Blaser, Morten Brun
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Perfect divisibility and 2‐divisibility
AbstractA graph G is said to be 2‐divisible if for all (nonempty) induced subgraphs H of G, can be partitioned into two sets such that and . (Here denotes the clique number of G, the number of vertices in a largest clique of G). A graph G is said to be perfectly divisible if for all induced subgraphs H of G, can be partitioned into two sets such ...
Maria Chudnovsky, Vaidy Sivaraman
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Congruences Module m and its Applications and Diophantine Equations [PDF]
A method of analysis of two topics of the theory of numbers, the congruences modulo m and the Diophantine equations, is developed; the first referred to the divisibility between numbers, and the second to the solution of equations with integer ...
Mario Antonio Ramírez Flores +1 more
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The Proof of a Conjecture on the Density of Sets Related to Divisibility Properties of z(n)
Let (Fn)n be the sequence of Fibonacci numbers. The order of appearance (in the Fibonacci sequence) of a positive integer n is defined as z(n)=min{k≥1:n∣Fk}.
Eva Trojovská, Venkatachalam Kandasamy
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Arithmetical Functions Associated with the k-ary Divisors of an Integer
The k-ary divisibility relations are a class of recursively defined relations beginning with standard divisibility and culminating in the so-called infinitary divisibility relation.
Joseph Vade Burnett +4 more
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Plastids undergo a process of binary fission in order to replicate. Plastid replication is required at two distinct stages of plant growth: during cell division to ensure correct plastid segregation, and during cell expansion and development to generate large populations of functional plastids, as in leaf mesophyll cells.
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One more time about the relation between morphemic analysis and word-formation analysis [PDF]
One of the basic criteria when it comes to describing the surface structure of the derivative lexical units is distinguishing morphemic and word-formation analysis.
Baltova Yuliya M.
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A product autoregressive model with log-Laplace marginal distribution
The log-Laplace distribution and its properties are considered. Some important properties like multiplicative infinite divisibility, geometric multiplicative infinite divisibility and self-decomposability are discussed.
Kanichukattu K. Jose, Manu Mariam Thomas
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