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- A. NEZAKATI
- 2006

This paper provides an asymptotic estimate for the expected number of real zeros of a random algebraic polynomial a0 + a1x + a2x + ···+ an−1xn−1. The coefficients aj ( j = 0,1,2, . . . ,n− 1) are assumed to be independent normal random variables withmean zero. For integers m and k = O(logn)2 the variances of the coefficients are assumed to have nonidentical… (More)

- A. NEZAKATI, K. Farahmand
- 2009

The expected number of real zeros of polynomials a0+a1x+a2x+ · · · + an−1xn−1 with random coefficients is well studied. For n large and for the normal zero mean independent coefficients, irrespective of the distribution of coefficients, this expected number is known to be asymptotic to (2/π) logn. For the dependent cases studied so far it is shown that this… (More)

- Jafar Fathali, Mehdi Zaferanieh, Ahmad Nezakati
- Adv. Operations Research
- 2009

Let n weighted points be given in the plane R2. For each point a radius is given which is the expected ideal distance from this point to a new facility. We want to find the location of a new facility such that the sum of the weighted errors between the existing points and this new facility is minimized. This is in fact a nonconvex optimization problem. We… (More)

- Ahmad Nezakati
- Int. J. Math. Mathematical Sciences
- 2005

assuming of course that the covariance exists. The infinite sequence {Xn, n ≥ 1} is said to be associated if every finite subfamily is associated. The concept of association was introduced by Esary et al. [1]. There are some results on the strong law of large numbers for associated sequences. Rao [4] developed the Hajek-Renyi inequality for associated… (More)

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