Consider a polynomial of large degree n whose coefficients are independent, identically distributed, non-degenerate random variables having zero mean and finite moments of all orders. We show that such a polynomial has exactly k real zeros with probability n−b+o(1) as n → ∞ through integers of the same parity as the fixed integer k ≥ 0. In particular, the probability that a random polynomial of...

A quantitative TaqMn Real-Time PCR assay was developed and its diagnostic value on human serum and livestock samples were evaluated. Brucella species could be distributed through communities as a biological agent. Rapid detection of biological threat agents is critical for timely therapeutic administration. Quantitative real-time PCR provides a rapid, sensitive and specific tool for molecular i...

Biological circuits are developed as biological parts within a cell to carry out logical functions resembling those studied in electronics circuits. These circuits can be performed as a method to vary cellular functions, to develop cellular responses to environmental conditions, or to regulate cellular developments. This research explored the possibility of synthetic biology based on the geneti...

3 ABSTRACT. Let c > 0 be a fixed constant. Let 0 ≤ r < s be an arbitrary pair of real numbers. Let a, b be any pair of real numbers such that | b − a | ≤ c(s − r). Define C s r to be the set of continuous real-valued functions on [r, s], and define C r to be the set of continuous real-valued functions on [ r, +∞). Finally, consider the following sets of Lipschitz functions:

background: serial measurement of  hepatitis b virus (hbv) dna levels in the liver and its relation with liver damage and serum hbv dna levels are guide to begin and/or end a treatment course. this study evaluated the relationship between liver hepatitis b dna viral load with liver histology in patients with chronic hepatitis b (hbv). methods:  thirty patients with chronic anti-hbe positive hep...

‎let $x$ be a real normed  space, then  $c(subseteq x)$  is  functionally  convex  (briefly, $f$-convex), if  $t(c)subseteq bbb r $ is  convex for all bounded linear transformations $tin b(x,r)$; and $k(subseteq x)$  is  functionally   closed (briefly, $f$-closed), if  $t(k)subseteq bbb r $ is  closed  for all bounded linear transformations $tin b(x,r)$. we improve the    krein-milman theorem  ...

avo theory was introduced around 20 years ago. in recent years, this technique was become to a major tool in hydrocarbon sources exploration. by the help of this method with the suitable understanding from underground layers and knowing how to use this technology, quantitative specifications of reservoir can be recognized. avo analysis is a seismic technique that by using of pre-stack data, est...

A real number α is said to be b-normal if every mlong string of digits appears in the base-b expansion of α with limiting frequency b−m. We prove that α is b-normal if and only if it possesses no base-b “hot spot.” In other words, α is b-normal if and only if there is no real number y such that smaller and smaller neighborhoods of y are visited by the successive shifts of the base-b expansion o...

With the large-scale production of plug-in electric vehicles (PEVs), a new entity, the PEV fleet aggregator manages charging and discharging processes of the vehicles. The main objective of an individual aggregator in interaction with electricity markets is maximizing its profit. In this paper, the performance of this aggregator in day-ahead and real-time electricity markets, considering (a) cu...