in this paper‎, ‎we introduce a new class$t_{k}^{s,a}[a,b,alpha‎ ,‎beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎this class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎we derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.

By the early 16th century, the Ottoman Empire had emerged as a major military power in Southeastern Europe and the Middle East. The Ottomans were feared and admired by contemporaneous Europeans from Niccol6 Machiavelli to Ivan Peresvetov. The latter regarded the empire of Sultan Mehmed II (r. 1444-46, 1451-81) as a model to be emulated by his own ruler, Ivan IV of Muscovy (r. 1547-84), and inde...

We propose two simple and efficient deterministic extractors for J(Fq), the Jacobian of a genus 2 hyperelliptic curve H defined over Fq, for some odd q. Our first extractor, SEJ, called sum extractor, for a given point D on J(Fq), outputs the sum of abscissas of rational points on H in the support of D, considering D as a reduced divisor. Similarly the second extractor, PEJ, called product extr...

Given two distributions over an n element set, we wish to check whether these distributions are statistically close by only sampling. We give a sublinear algorithm which uses O(n2/3ǫ−4 logn) independent samples from each distribution, runs in time linear in the sample size, makes no assumptions about the structure of the distributions, and distinguishes the cases when the distance between the d...

Mormons claim that God the Father has a “body of flesh and bones.” Nowhere is this statement made in the Bible, so they support this idea through the statement that God created man in His own image, which requires that God look like a man. However, there are many problems with this interpretation. First, the Bible says that God created both males and females in His image. Unless God were a herm...

Feminine language for God has been largely absent within Christianity. However, a focus on feminine aspects of the divine can help Christians reclaim characteristics of God that get lost in a religion where language of God the Father is pervasive. This paper addresses the use of Mother as a metaphor for God and its implications for a therapeutic context. The current conversation around parental...

Current research on adult attachment suggests that there are two underlying dimensions of adult attachment—anxiety and avoidance (Mikulincer & Shaver, 2007). Attachment anxiety refers to the degree to which adults are concerned with a desire for closeness and protection, and also their worries about the availability of and their worth to their partners. Avoidant attachment, on the other hand, r...

The Creation of Adam (1508-1512) on the ceiling of the Sistine Chapel has long been recognized as one of the world’s great art treasures. In 1990 Frank Lynn Meshberger, M.D. described what millions had overlooked for centuries — an anatomically accurate image of the human brain was portrayed behind God. On close examination, borders in the painting correlate with sulci in the inner and outer su...