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GEOMETRY OF MODULUS SPACES
"... Abstract. Let φ be a modulus function, i.e., continuous strictly increasing function on [0, ∞), such that φ(0) = 0, φ(1) = 1, and φ(x + y) ≤ φ(x) + φ(y) for all x, y in [0, ∞). It is the object of this paper to characterize, for any Banach space X, extreme points, exposed points, and smooth point ..."
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Abstract. Let φ be a modulus function, i.e., continuous strictly increasing function on [0, ∞), such that φ(0) = 0, φ(1) = 1, and φ(x + y) ≤ φ(x) + φ(y) for all x, y in [0, ∞). It is the object of this paper to characterize, for any Banach space X, extreme points, exposed points, and smooth
Some Maximum Modulus Polynomial Rings and Constant Modulus Spaces
"... Copyright c © 2014 Abtin Daghighi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Let F ∈ C1(Ω,C) be a not necessarily open function ..."
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sufficient condition for subspaces of polyanalytic functions to have constant modulus spaces containing only constants.
Equalization Using the Constant Modulus Criterion: A
 Review,” Proccedings of the IEEE, Invited
, 1997
"... This paper provides a tutorial introduction to the constant modulus (CM) criterion for blind fractionally spaced equalizer (FSE) design via a (stochastic) gradient descent algorithm such as the constant modulus algorithm (CMA). The topical divisions utilized in this tutorial can be used to help cata ..."
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Cited by 136 (22 self)
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This paper provides a tutorial introduction to the constant modulus (CM) criterion for blind fractionally spaced equalizer (FSE) design via a (stochastic) gradient descent algorithm such as the constant modulus algorithm (CMA). The topical divisions utilized in this tutorial can be used to help
Modulus and the Poincaré inequality on metric measure spaces
 Mathematische Zeitschrift
"... Abstract. We show that, in a complete metric measure space equipped with a doubling Borel regular measure, the Poincare ́ inequality with upper gradients introduced by Heinonen and Koskela [HK98] is equivalent to the Poincare ́ inequality with “approximate Lipschitz constants ” used by Semmes in [S ..."
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Cited by 39 (2 self)
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Abstract. We show that, in a complete metric measure space equipped with a doubling Borel regular measure, the Poincare ́ inequality with upper gradients introduced by Heinonen and Koskela [HK98] is equivalent to the Poincare ́ inequality with “approximate Lipschitz constants ” used by Semmes
A NOTE ON THE MODULUS OF UCONVEXITY AND MODULUS OF
"... ABSTRACT. We present some sufficient conditions for which a Banach space X has normal structure in term of the modulus of Uconvexity, modulus of W ∗convexity and the coefficient of weak orthogonality. Some known results are improved. ..."
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ABSTRACT. We present some sufficient conditions for which a Banach space X has normal structure in term of the modulus of Uconvexity, modulus of W ∗convexity and the coefficient of weak orthogonality. Some known results are improved.
Discrete Modulus of Smoothness of Splines with Equally Spaced Knots
, 1995
"... . We study the behavior of moduli of smoothness of splines s of order r with equally spaced knots fx i g, x i+1 \Gamma x i = h. The main results are (1) For each 0 m ! r, all quantities h j !m\Gammaj (s (j) ; h)p , 0 j m, are equivalent and can be measured by a discrete norm of the mth differ ..."
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Cited by 9 (6 self)
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, in the results above, all the quantities can still be measured by the corresponding discrete modulus multiplied by a power of t=h. The results generalize the notion of discrete norm of Bspline series in case of equal spacing. As an application, we use these results to prove that ! 3 is the best rate of convex
An Analysis of Constant Modulus Receivers
 IEEE Trans. on Signal Processing
, 1999
"... This paper investigates connections between (nonblind) Wiener receivers and blind receivers designed by minimizing the constant modulus (CM) cost. Applicable to both Tspaced and fractionally spaced FIR equalization, the main results include 1) a test for the existence of CM local minima near Wiener ..."
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Cited by 9 (3 self)
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This paper investigates connections between (nonblind) Wiener receivers and blind receivers designed by minimizing the constant modulus (CM) cost. Applicable to both Tspaced and fractionally spaced FIR equalization, the main results include 1) a test for the existence of CM local minima near
Selforganizing hierarchical particle swarm optimizer with timevarying acceleration coefficients
 IEEE Transactions on Evolutionary Computation
, 2004
"... Abstract—This paper introduces a novel parameter automation strategy for the particle swarm algorithm and two further extensions to improve its performance after a predefined number of generations. Initially, to efficiently control the local search and convergence to the global optimum solution, tim ..."
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Cited by 194 (2 self)
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to the particle swarm optimization along with TVAC (MPSOTVAC), by adding a small perturbation to a randomly selected modulus of the velocity vector of a random particle by predefined probability. Second, we introduce a novel particle swarm concept “selforganizing hierarchical particle swarm optimizer with TVAC
Direct Solution of Modulus Constraints
"... The modulus constraint is a constraint on the position of the plane at infinity (1 ) which applies to the problem of selfcalibration in the case of constant internals. For any pair of cameras which are known to have the same internal parameters, the classical modulus constraint is the vanishing of ..."
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Cited by 8 (0 self)
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The modulus constraint is a constraint on the position of the plane at infinity (1 ) which applies to the problem of selfcalibration in the case of constant internals. For any pair of cameras which are known to have the same internal parameters, the classical modulus constraint is the vanishing
Results 1  10
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994