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DISCRETE ANALYTIC FUNCTIONS AND DOMINO TILINGS
"... ABSTRACT. We state a few analogous definitions of discrete analytic functions on Z 2, prove some basic properties of discrete analytic function, relate discrete analytic functions and domino tiling. 1. ..."
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ABSTRACT. We state a few analogous definitions of discrete analytic functions on Z 2, prove some basic properties of discrete analytic function, relate discrete analytic functions and domino tiling. 1.
On Borel summability and analytic functionals
 THE STFT AND TAUBERIAN THEOREMS FOR SASYMPTOTICS 17
"... Abstract. We show that a formal power series has positive radius of convergence if and only if it is uniformly Borel summable over a circle with center at the origin. Consequently, we obtain that an entire function f is of exponential type if and only if the formal power series ∞ n=0 f (n) (0)z n i ..."
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Cited by 1 (1 self)
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is uniformly Borel summable over a circle centered a the origin. We apply these results to obtain a characterization of those Silva tempered ultradistributions which are analytic functionals. We also use Borel summability to represent analytic functionals as Borel sums of their moment Taylor series over
The moderator–mediator variable distinction in social psychological research: Conceptual, strategic, and statistical considerations
 Journal of Personality and Social Psychology
, 1986
"... In this article, we attempt to distinguish between the properties of moderator and mediator variables at a number of levels. First, we seek to make theorists and researchers aware of the importance of not using the terms moderator and mediator interchangeably by carefully elaborating, both conceptua ..."
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Cited by 5736 (8 self)
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conceptually and strategically, the many ways in which moderators and mediators differ. We then go beyond this largely pedagogical function and delineate the conceptual and strategic implications of making use of such distinctions with regard to a wide range of phenomena, including control and stress
Subordinations For Certain Analytic Functions
"... For analytic functions f(z) in the open unit disk U, two subclasses Sδ(α) and Tδ(α) of f(z) are introduced. The object of the present paper is to discuss some sufficient conditions for f(z) to be in the classes Sδ(α) and Tδ(α). Furthermore, two examples for our results are considered. ..."
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For analytic functions f(z) in the open unit disk U, two subclasses Sδ(α) and Tδ(α) of f(z) are introduced. The object of the present paper is to discuss some sufficient conditions for f(z) to be in the classes Sδ(α) and Tδ(α). Furthermore, two examples for our results are considered.
Convolutions for certain analytic functions
"... Applying the coefficient inequalities of functions f(z) belonging to the subclasses SD(α, β) and KD(α, β) of certain analytic functions in the open unit disk U, two subclasses SD∗(α, β) and KD∗(α, β) are introduced. In this present paper, some interesting convolution properties of functions f(z) in ..."
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Applying the coefficient inequalities of functions f(z) belonging to the subclasses SD(α, β) and KD(α, β) of certain analytic functions in the open unit disk U, two subclasses SD∗(α, β) and KD∗(α, β) are introduced. In this present paper, some interesting convolution properties of functions f
THE PRODUCT OF ANALYTIC FUNCTIONALS IN Z′
"... Abstract. Current studies on products of analytic functionals have been based on applying convolution products in D ′ and the Fourier exchange formula. There are very few results directly computed from the ultradistribution space Z′. The goal of this paper is to introduce a definition for the produ ..."
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Abstract. Current studies on products of analytic functionals have been based on applying convolution products in D ′ and the Fourier exchange formula. There are very few results directly computed from the ultradistribution space Z′. The goal of this paper is to introduce a definition
Consensus Problems in Networks of Agents with Switching Topology and TimeDelays
, 2003
"... In this paper, we discuss consensus problems for a network of dynamic agents with fixed and switching topologies. We analyze three cases: i) networks with switching topology and no timedelays, ii) networks with fixed topology and communication timedelays, and iii) maxconsensus problems (or leader ..."
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Cited by 1112 (21 self)
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.e. algebraic connectivity of the network) and the negotiation speed (or performance) of the corresponding agreement protocol. It turns out that balanced digraphs play an important role in addressing averageconsensus problems. We introduce disagreement functions that play the role of Lyapunov functions
Lambertian Reflectance and Linear Subspaces
, 2000
"... We prove that the set of all reflectance functions (the mapping from surface normals to intensities) produced by Lambertian objects under distant, isotropic lighting lies close to a 9D linear subspace. This implies that, in general, the set of images of a convex Lambertian object obtained under a wi ..."
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Cited by 526 (20 self)
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We prove that the set of all reflectance functions (the mapping from surface normals to intensities) produced by Lambertian objects under distant, isotropic lighting lies close to a 9D linear subspace. This implies that, in general, the set of images of a convex Lambertian object obtained under a
ON LOCAL BEHAVIOR OF ANALYTIC FUNCTIONS
, 1999
"... We prove local inequalities for analytic functions defined on a convex body in R n which generalize wellknown classical inequalities for polynomials. 1. Introduction. 1.1. The classical Chebyshev inequality estimates the supremum norm of a univariate real polynomial p on an interval I by its norm o ..."
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Cited by 9 (4 self)
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We prove local inequalities for analytic functions defined on a convex body in R n which generalize wellknown classical inequalities for polynomials. 1. Introduction. 1.1. The classical Chebyshev inequality estimates the supremum norm of a univariate real polynomial p on an interval I by its norm
Modeling TCP Throughput: A Simple Model and its Empirical Validation
, 1998
"... In this paper we develop a simple analytic characterization of the steady state throughput, as a function of loss rate and round trip time for a bulk transfer TCP flow, i.e., a flow with an unlimited amount of data to send. Unlike the models in [6, 7, 10], our model captures not only the behavior of ..."
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Cited by 1337 (36 self)
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In this paper we develop a simple analytic characterization of the steady state throughput, as a function of loss rate and round trip time for a bulk transfer TCP flow, i.e., a flow with an unlimited amount of data to send. Unlike the models in [6, 7, 10], our model captures not only the behavior
Results 11  20
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25,708