Predicting stock market movements is always difficult. Investors try to guess a stock’s behavior, but it often backfires. Thumb rules and intuition seems to be the major indicator. One approach suggested that instead of trying to predict one particular stock’s movement with respect to the whole market, it may be easier to predict a stock As movement based on another stock Bs movement; the reaso...

Let ρ(x) = x − [x], χ = χ (0,1). In L2(0, ∞) consider the subspace B generated by {ρa|a ≥ 1} where ρa(x) := ρ 1 ax. By the Nyman-Beurling criterion the Riemann hypothesis is equivalent to the statement χ ∈ B. For some time it has been conjectured, and proved in this paper, that the Riemann hypothesis is equivalent to the stronger statement that χ ∈ B nat where B nat is the much smaller subspace...

We establish a general criterion for inequalities of the kind convex combination of f (x1) , f (x2) , ..., f (xn) and f (some weighted mean of x1, x2, ..., xn) ≥ convex combination of f (some other weighted means of x1, x2, ..., xn) , where f is a convex function on an interval I ⊆ R containing the reals x1, x2, ..., xn, to hold. Here, the left hand side contains only one weighted mean, while t...

This paper establishes new results regarding control problems for parametrized families of pairs ( 'systems') {(A(x), B(x)),xeX}, where A(x) is an n x n and B(x) is an n x m real matrix for each x (with n,m fixed integers), and the parameter x belongs to a manifold X. To be found is a new parametrized family {K(x),x~X} such that a given design criterion is satisfied by the closed-loop matrix A(...

In this paper, we develop an approach for optimizing the explicit binomial confidence interval recently derived by Chen et al. The optimization reduces conservativeness while guaranteeing prescribed coverage probability. 1 Explicit Formula of Chen et al. Let X be a Bernoulli random variable defined in probability space (Ω,F ,Pr) with distribution Pr{X = 1} = 1 − Pr{X = 0} = p ∈ (0, 1). It is a ...

The paper discusses a new technique for the removal of blur in a X-ray caused by uniform linear motion. This method assumes that the linear motion corresponds to an integral number of pixels and is aligned with the horizontal (or vertical) sampling. The proposed approach can be summarized as follows: Given is a gray value vector g, the row of the digitized degraded X-ray . The unknown to be rec...

peer in marriage contract is defined as equality and similar dignity of spouse in some issues. there is a difference of opinion among imamiya jurists and also the sunnite scholars concerning the issues and criterion of equality in marriage. reputed imamiya jurists consider islam & belief in the imamate of the twelve imams (pbut) to be the criterion for the equality and similar ranking of the ma...