Results 211 to 220 of about 1,087,987 (259)

GCD of Random Linear Combinations

Algorithmica, 2006
We show that for arbitrary positive integers $a_1, \ldots, a_m,$ with probability $6/\pi^2 + o(1),$ the gcd of two linear combinations of these integers with rather small random integer coefficients coincides with $\gcd(a_1, \ldots, a_m).$ This naturally leads to a probabilistic algorithm for computing the gcd of several integers, with probability $6 ...
Joachim von zur Gathen   +1 more
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Heritability of a linear combination of traits

Theoretical and Applied Genetics, 1977
The heritability, h I (2) , of a linear combination of phenotypes, I, when defined as the ratio of the variance of the genetic index, σ g⋆ (2) *, to the variance of the index, σ I (2) , is shown to be different from the square of the correlation, r HI (2) , between the index and an arbitrary linear combination of genetic effects, H.
C Y, Lin, F R, Allaire
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Linear Diversity Combining Techniques

Proceedings of the IRE, 1959
This paper provides analyses of three types of diversity combining systems in practical use. These are: selection diversity, maximal-ratio diversity, and equal-gain diversity systems. Quantitative measures of the relative performance (under realistic conditions) of the three systems are provided. The effects of various departures from ideal conditions,
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Zeros of Linear Combinations of Polynomials

Canadian Mathematical Bulletin, 1972
The following theorem is due to J. L. Walsh (see [2, Theorem 17, 2a]):Theorem. If all the zeros of f1(z)=zn+a1zn-1+ … + an lie in or on the circle C1 with centre c1 and radius r1 and if all the zeros of f2(z)=zn+b1zn-1+ … + bn lie in or on the circle C2 with centre c2 and radius r2, then each zero of the polynomiallies in at least one of the circles Γk
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Periods of Linear Combinations of Vectors

Differential Equations and Dynamical Systems, 2014
This article presents several results about the set of periods of periodic points of a linear operator defined on a vector space. Related interesting work can be found in [\textit{G. A. Muñoz-Fernández} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 105, No. 2, 397--402 (2011; Zbl 1268.47009)].
Chiranjeevi, P., Kannan, V.
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