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805
POSITIVELY CURVED MANIFOLDS WITH LARGE CONJUGATE RADIUS
"... Abstract. Let M denote a complete simply connected Riemannian manifold with all sectional curvatures ≥ 1. The purpose of this paper is to prove that when M has conjugate radius at least pi/2, its injectivity radius and conjugate radius coincide. Metric characterizations of compact rank one symmetr ..."
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Cited by 2 (1 self)
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Abstract. Let M denote a complete simply connected Riemannian manifold with all sectional curvatures ≥ 1. The purpose of this paper is to prove that when M has conjugate radius at least pi/2, its injectivity radius and conjugate radius coincide. Metric characterizations of compact rank one
COINCIDENCE THE SETS OF NORM AND NUMERICAL RADIUS ATTAINING HOLOMORPHIC FUNCTIONS ON FINITEDIMENSIONAL SPACES
"... Abstract. Let X be a complex Banach space having property (β) with constant ρ = 0 and A∞(BX; X) be the space of bounded functions from BX to X that are holomorphic on the open unit ball. In this paper we prove that in A∞(BX; X), the set of norm attaining elements contains numerical radius attaining ..."
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Abstract. Let X be a complex Banach space having property (β) with constant ρ = 0 and A∞(BX; X) be the space of bounded functions from BX to X that are holomorphic on the open unit ball. In this paper we prove that in A∞(BX; X), the set of norm attaining elements contains numerical radius attaining
ORIGINAL ARTICLE Influence of coincident distal radius fracture in patients with hip fracture: singlecentre series and metaanalysis
"... Background Hip and wrist fractures are the most common orthopaedic injuries. Combined hip and distal radius fractures are an important clinical and public health problem, since mobilisation and rehabilitation is challenging and likely to be prolonged in this setting. Few studies have explored the ..."
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Background Hip and wrist fractures are the most common orthopaedic injuries. Combined hip and distal radius fractures are an important clinical and public health problem, since mobilisation and rehabilitation is challenging and likely to be prolonged in this setting. Few studies have explored
On the covering radius of long Goppa codes
"... Introduction The covering radius is an important parameter of errorcorrecting codes [2]. It coincides with the maximal multiplicity of errors that can be corrected provided the maximum likelihood decoding in a binary symmetric channel with the probability of symbol error less than 1/2 is used. Ano ..."
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Introduction The covering radius is an important parameter of errorcorrecting codes [2]. It coincides with the maximal multiplicity of errors that can be corrected provided the maximum likelihood decoding in a binary symmetric channel with the probability of symbol error less than 1/2 is used
TwoPhoton Coincidence Imaging with a Classical Source”,
 Phys. Rev. Lett.
, 2002
"... Abstract: It is shown that the use of phase conjugation in one arm of a correlated twophoton imaging apparatus allows undistorted ghost imaging through a region with randomlyvarying phase shifts. The images are formed from correlated pairs of photons in such a way that turbulenceinduced phase shi ..."
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Cited by 9 (2 self)
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Abstract: It is shown that the use of phase conjugation in one arm of a correlated twophoton imaging apparatus allows undistorted ghost imaging through a region with randomlyvarying phase shifts. The images are formed from correlated pairs of photons in such a way that turbulenceinduced phase
IMPROVED ESTIMATES FOR THE CONVERGENCE RADIUS IN THE POINCARÉ–SIEGEL PROBLEM
"... Abstract. We reconsider the Poincaré–Siegel center problem, namely the problem of conjugating an analytic system of differential equations in the neighbourhood of an equilibrium to its linear part. Assuming a condition which is equivalent to Bruno’s one on the eigenvalues λ1,..., λn of the linear ..."
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Cited by 1 (1 self)
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part we show that the convergence radius r of the conjugating transformation satisfies log r(λ) ≥ −CB + C ′ with C = 1 and a constant C ′ not depending on λ. This improves the previous results for n> 1, where the known proofs give C = 2. We also recall that C = 1 is known to be the optimal value
Scaling Properties For The Radius Of Convergence Of Lindstedt Series: Generalized Standard Maps
 J. Math. Pures Appl
, 2000
"... . For a class of symplectic twodimensional maps which generalize the standard map by allowing more general nonlinear terms, the radius of convergence of the Lindstedt series describing the homotopically nontrivial invariant curves is proved to satisfy a scaling law as the complexied rotation numbe ..."
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Cited by 21 (13 self)
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. For a class of symplectic twodimensional maps which generalize the standard map by allowing more general nonlinear terms, the radius of convergence of the Lindstedt series describing the homotopically nontrivial invariant curves is proved to satisfy a scaling law as the complexied rotation
Is physics in the infinite momentum frame independent of the compactification radius
 Nucl. Phys. B
, 1998
"... With the aim of clarifying the eleven dimensional content of Matrix theory, we examine the dependence of a theory in the infinite momentum frame (IMF) on the (purely spatial) longitudinal compactification radius R. First, by considering diagrams in scalar field theory, we argue that the generic scat ..."
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Cited by 3 (2 self)
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With the aim of clarifying the eleven dimensional content of Matrix theory, we examine the dependence of a theory in the infinite momentum frame (IMF) on the (purely spatial) longitudinal compactification radius R. First, by considering diagrams in scalar field theory, we argue that the generic
Random planar lattices and integrated superBrownian excursion
 PROBAB. TH. REL. FIELDS
, 2002
"... In this paper, a surprising connection is described between a specific brand of random lattices, namely planar quadrangulations, and Aldous’ Integrated SuperBrownian Excursion (ISE). As a consequence, the radius rn of a random quadrangulation with n faces is shown to converge, up to scaling, to th ..."
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Cited by 93 (3 self)
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In this paper, a surprising connection is described between a specific brand of random lattices, namely planar quadrangulations, and Aldous’ Integrated SuperBrownian Excursion (ISE). As a consequence, the radius rn of a random quadrangulation with n faces is shown to converge, up to scaling
For The Encyclopedia of Nonbelief to be published by Prometheus Books. The Anthropic Coincidences
"... In 1919, mathematician and physicist Hermann Weyl puzzled why the ratio of the electromagnetic force to the gravitational force between two electrons is such a huge number, N1 = 1039.1 Weyl wondered why this should be the case, expressing his intuition (and nothing more than that) that "pure &q ..."
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for light to traverse the radius of a proton.3 That is, he found two seemingly unconnected large numbers to be of the
Results 1  10
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805