the main purpose of this essay is the recognition of the status and role of the orthodox church in russia’s ruling system from 1917-2010; therefore, the question that is put forth in this research is: what correlation existed between the orthodox church and russia’s ruling system? in order to respond to this question, a major hypothesis is highlighted: the government and the orthodox church hav...

The purpose of this paper is to investigate the real sequences γ0, γ1, γ2, . . . with the property that if p(x) = ∑n k=0 akx k is any real polynomial, then ∑n k=0 γkakx k has no more nonreal zeros than p(x). In particular, the authors establish a converse to a classical theorem of Laguerre.

in this research work, the impact of user’s behavior on search engine results is discussed. it aims to improvement of search results which leads to the higher satisfaction of users. in other words, we are trying to present a personalized search engine for each user, based on his/her activity and search history. we base our hypothesis that the search history of each user in a specific time frame...

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This is a continuation of the papers of Braun and Fløystad [BF] and Cook [C] bounding the degree of smooth surfaces not of general type in P 4. We will prove the following: Theorem 1. Let S be a smooth surface of degree d in P 4 not of general type. Then d ≤ 66. The new idea in this paper is to bound the degree of the sporadic zeros of a generic hyperplane section of the surface by considering ...

We obtain exact analytical expressions for correlations between real zeros of the Kac random polynomial. We show that the zeros in the interval (−1, 1) are asymptotically independent of the zeros outside of this interval, and that the straightened zeros have the same limit translation invariant correlations. Then we calculate the correlations between the straightened zeros of the SO(2) random p...