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ALGEBRAIC GEOMETRY
"... Algebraic geometry is the mathematical study of geometric objects by means of algebra. Its origins go back to the coordinate geometry introduced by Descartes. A classic example is the circle of radius 1 in the plane, which is ..."
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Cited by 513 (6 self)
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Algebraic geometry is the mathematical study of geometric objects by means of algebra. Its origins go back to the coordinate geometry introduced by Descartes. A classic example is the circle of radius 1 in the plane, which is
On size, radius and minimum degree
, 2012
"... Let G be a finite connected graph. We give an asymptotically tight upper bound on the size of G in terms of order, radius and minimum degree. Our result is a strengthening of an old classical theorem of Vizing (1967) if minimum degree is prescribed. ..."
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Let G be a finite connected graph. We give an asymptotically tight upper bound on the size of G in terms of order, radius and minimum degree. Our result is a strengthening of an old classical theorem of Vizing (1967) if minimum degree is prescribed.
Pulsation in Giants With Known Radius
"... Recently the physical radii of a number of G, K and M giants were determined interferometrically (van Belle et al., 1999) using the Palomar Testbed Interferometer and using distances obtained with the Hipparcos satellite. Some of these giants are pulsating variables. For stars of which the physic ..."
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the physical radius is known independently, asteroseismic data can help constrain evolutionary models particularly well, and these are therefore good candidates for observation with MONS. 1. Introduction It is wellknown that there is a tendency for all M giants to be variable. The brightness changes can
Covering radius for sets of permutations
"... We study the covering radius of sets of permutations with respect to the Hamming distance. Let f(n, s) be the smallest number m for which there is a set of m permutations in Sn with covering radius r ≤ n − s. We study f(n, s) in the general case and also in the case when the set of permutations for ..."
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We study the covering radius of sets of permutations with respect to the Hamming distance. Let f(n, s) be the smallest number m for which there is a set of m permutations in Sn with covering radius r ≤ n − s. We study f(n, s) in the general case and also in the case when the set of permutations
photometric system: the Period–Radius and the Period–Luminosity relation of Classical Cepheids.
"... ar ..."
Simple heuristics for unit disk graphs
 NETWORKS
, 1995
"... Unit disk graphs are intersection graphs of circles of unit radius in the plane. We present simple and provably good heuristics for a number of classical NPhard optimization problems on unit disk graphs. The problems considered include maximum independent set, minimum vertex cover, minimum coloring ..."
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Cited by 151 (6 self)
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Unit disk graphs are intersection graphs of circles of unit radius in the plane. We present simple and provably good heuristics for a number of classical NPhard optimization problems on unit disk graphs. The problems considered include maximum independent set, minimum vertex cover, minimum
NUMERICAL RADIUS OF A HOLOMORPHIC MAPPING
"... Let X be a complex Banach space and B be its open unit ball. For each nonnegative integer n, P(nX,X) denotes the Banach space of all continuous nhomogeneous polynomials of X into X, endowed with the norm kPk = supfkP (x)k: kxk · 1g. In particular, a continous 1homogeneous polynomial of X into X i ..."
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homogeneous polynomials such that f(x) = P1 n=0 Pn(x) for all x 2 B, which is called the Taylor series expansion for f about 0. G. Lumer [13] has given a theory of the numerical range for bounded linear operators on a Banach space which is a very successful generalization of the classical theory on a Hilbert space
The Large Radius Limit For Coherent States On Spheres
"... This paper concerns the coherent states on spheres studied by the authors in [J. Math. Phys. 43 (2002), 12111236]. We show that in the odddimensional case the coherent states on the sphere approach the classical Gaussian coherent states on Euclidean space as the radius of the sphere tends to infin ..."
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Cited by 2 (2 self)
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This paper concerns the coherent states on spheres studied by the authors in [J. Math. Phys. 43 (2002), 12111236]. We show that in the odddimensional case the coherent states on the sphere approach the classical Gaussian coherent states on Euclidean space as the radius of the sphere tends
Scale Factor Duality For Classical And Quantum Strings
 Phys. Lett
, 1991
"... Duality under inversion of the cosmological scale factor is discussed both for the classical motion of strings in cosmological backgrounds and for genus zero, low energy effective actions. The stringmodified, EinsteinFriedmann equations are then shown to possess physicallyinequivalent, dualityre ..."
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Cited by 52 (3 self)
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Duality under inversion of the cosmological scale factor is discussed both for the classical motion of strings in cosmological backgrounds and for genus zero, low energy effective actions. The stringmodified, EinsteinFriedmann equations are then shown to possess physicallyinequivalent, duality
Results 1  10
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1,131