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DIRICHLET SERIES WITH REAL COEFFICIENTS
, 2013
"... Abstract. We study the class of entire functions represented by Dirichlet series with real coefficients determined by a convex growth majorant. We prove the criterion for the validity of an asymptotic identity on the positive ray which is an exact estimate for the growth of the logarithm of the mod ..."
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Abstract. We study the class of entire functions represented by Dirichlet series with real coefficients determined by a convex growth majorant. We prove the criterion for the validity of an asymptotic identity on the positive ray which is an exact estimate for the growth of the logarithm
Factoring polynomials with rational coefficients
 MATH. ANN
, 1982
"... In this paper we present a polynomialtime algorithm to solve the following problem: given a nonzero polynomial fe Q[X] in one variable with rational coefficients, find the decomposition of f into irreducible factors in Q[X]. It is well known that this is equivalent to factoring primitive polynomia ..."
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Cited by 961 (11 self)
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to be factored, n = deg(f) is the degree of f, and for a polynomial ~ a ~ i with real coefficients a i. i An outline of the algorithm is as follows. First we find, for a suitable small prime number p, a padic irreducible factor h of f, to a certain precision. This is done with Berlekamp's algorithm
On nonvanishing univalent functions with real coefficients
, 1986
"... Using the wellknown Brickman representation for univalent functions, it is shown that the extreme points of the set So(R) of nonvanishing univalent functions with real coefficients omit only real values. Furthermore a support point of So(R) is shown to have the same property. 1. ..."
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Cited by 1 (1 self)
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Using the wellknown Brickman representation for univalent functions, it is shown that the extreme points of the set So(R) of nonvanishing univalent functions with real coefficients omit only real values. Furthermore a support point of So(R) is shown to have the same property. 1.
RealTime Tracking of NonRigid Objects using Mean Shift
 IEEE CVPR 2000
, 2000
"... A new method for realtime tracking of nonrigid objects seen from a moving camera isproposed. The central computational module is based on the mean shift iterations and nds the most probable target position in the current frame. The dissimilarity between the target model (its color distribution) an ..."
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Cited by 815 (19 self)
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) and the target candidates is expressed by a metric derived from the Bhattacharyya coefficient. The theoretical analysis of the approach shows that it relates to the Bayesian framework while providing a practical, fast and efficient solution. The capability of the tracker to handle in realtime partial occlusions
Zerosets of Clifford Analytic Functions with Real Coefficients
"... Abstract: In this note we prove that the zero set of any Clifford analytic function f with real coefficients is the disjoint union of real isolated zeroes and the spherical conjugate ones. What is more, we present a technique for computing the zeroes. We also find the preimages f−1(A) for any parave ..."
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Abstract: In this note we prove that the zero set of any Clifford analytic function f with real coefficients is the disjoint union of real isolated zeroes and the spherical conjugate ones. What is more, we present a technique for computing the zeroes. We also find the preimages f−1(A) for any
Orthogonal Rational Functions with real coefficients and semiseparable matrices
"... When one wants to use Orthogonal Rational Functions (ORFs) in system identification or control theory, it is important to be able to avoid complex calculations. In this paper we study ORFs whose numerator and denominator polynomial have real coefficients. These ORFs with real coefficients (RORFs) ..."
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When one wants to use Orthogonal Rational Functions (ORFs) in system identification or control theory, it is important to be able to avoid complex calculations. In this paper we study ORFs whose numerator and denominator polynomial have real coefficients. These ORFs with real coefficients (RORFs
On PowerLaw Relationships of the Internet Topology
 IN SIGCOMM
, 1999
"... Despite the apparent randomness of the Internet, we discover some surprisingly simple powerlaws of the Internet topology. These powerlaws hold for three snapshots of the Internet, between November 1997 and December 1998, despite a 45% growth of its size during that period. We show that our powerl ..."
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Cited by 1670 (70 self)
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laws fit the real data very well resulting in correlation coefficients of 96% or higher. Our observations provide a novel perspective of the structure of the Internet. The powerlaws describe concisely skewed distributions of graph properties such as the node outdegree. In addition, these powerlaws can
Estimation of probabilities from sparse data for the language model component of a speech recognizer
 IEEE Transactions on Acoustics, Speech and Signal Processing
, 1987
"... AbstractThe description of a novel type of rngram language model is given. The model offers, via a nonlinear recursive procedure, a computation and space efficient solution to the problem of estimating probabilities from sparse data. This solution compares favorably to other proposed methods. Wh ..."
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Cited by 799 (2 self)
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. While the method has been developed for and successfully implemented in the IBM Real Time Speech Recognizers, its generality makes it applicable in other areas where the problem of estimating probabilities from sparse data arises. Sparseness of data is an inherent property of any real text
Capacity of a Mobile MultipleAntenna Communication Link in Rayleigh Flat Fading
"... We analyze a mobile wireless link comprising M transmitter and N receiver antennas operating in a Rayleigh flatfading environment. The propagation coefficients between every pair of transmitter and receiver antennas are statistically independent and unknown; they remain constant for a coherence int ..."
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Cited by 495 (22 self)
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We analyze a mobile wireless link comprising M transmitter and N receiver antennas operating in a Rayleigh flatfading environment. The propagation coefficients between every pair of transmitter and receiver antennas are statistically independent and unknown; they remain constant for a coherence
Results 1  10
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