Results 31 to 40 of about 488 (181)
A four‐run orthogonal array for three two‐level factors. ABSTRACT Orthogonal arrays are arguably one of the most fascinating and important statistical tools for efficient data collection. They have a simple, natural definition, desirable properties when used as fractional factorials, and a rich and beautiful mathematical theory.
C. Devon Lin, John Stufken
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On an Erdős similarity problem in the large
Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao+2 more
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C-Finite Sequences and Riordan Arrays
Many prominent combinatorial sequences, such as the Fibonacci, Lucas, Pell, Jacobsthal and Tribonacci sequences, are defined by homogeneous linear recurrence relations with constant coefficients.
Donatella Merlini
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ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
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On the Pre‐ and Post‐Positional Semi‐Random Graph Processes
ABSTRACT We study the semi‐random graph process, and a variant process recently suggested by Nick Wormald. We show that these two processes are asymptotically equally fast in constructing a semi‐random graph G $G$ that has property P ${\mathscr{P}}$, for the following examples of P ${\mathscr{P}}$: (1) P ${\mathscr{P}}$ is the set of graphs containing ...
Pu Gao, Hidde Koerts
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Local spectral estimates and quantitative weak mixing for substitution Z${\mathbb {Z}}$‐actions
Abstract The paper investigates Hölder and log‐Hölder regularity of spectral measures for weakly mixing substitutions and the related question of quantitative weak mixing. It is assumed that the substitution is primitive, aperiodic, and its substitution matrix is irreducible over the rationals.
Alexander I. Bufetov+2 more
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Extensions of Steiner Triple Systems
ABSTRACT In this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a ...
Giovanni Falcone+2 more
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On Quasi‐Hermitian Varieties in Even Characteristic and Related Orthogonal Arrays
ABSTRACT In this article, we study the BM quasi‐Hermitian varieties, laying in the three‐dimensional Desarguesian projective space of even order. After a brief investigation of their combinatorial properties, we first show that all of these varieties are projectively equivalent, exhibiting a behavior which is strikingly different from what happens in ...
Angela Aguglia+3 more
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Towards Nash‐Williams orientation conjecture for infinite graphs
Abstract In 1960 Nash‐Williams proved that an edge‐connectivity of 2 k is sufficient for a finite graph to have a k
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A Review of Modern Multinomial‐Derived and Partition‐Based Record‐Linkage Methods
ABSTRACT Fellegi and Sunter introduced in 1969 the first theory of record linkage. Their work was interpreted and applied in many situations. However, an infrastructure to support generalizing the theory was not available until 40 years later when Sadinle and Fienberg formally introduced partitioning in the record linkage arena.
Yves Thibaudeau
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