the object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk

objectives: one of the issues that have consistently been the concern for the health affair specialists and cure and massive social governors in health fields is the rate of disorders prevalence, diseases and the related subjects to epidemiology. purpose of this study was to estimate the prevalence of mathematic disability amongst primary schools of karaj. methods: totally 432 students were sel...

Let G = (V,E) be an undirected loopless graph with possible parallel edges and s, t ∈ V . Assume that s is labelled at the initial time step and that every labelled vertex copies its labelling to neighbouring vertices along edges with one labelled endpoint independently with probability p in one time step. In this paper, we establish the equivalence between the expected s-t first arrival time o...

In an earlier article, atomic radii of elements of Groups 1A 8A were shown to be proportional to their Bohr radii obtained from the first ionization potentials and the constants of proportionality were shown to be simple functions of the Golden ratio. Here it is shown that the above finding holds also for elements of Groups 1B 8B including Lanthanides and Actinides. All the relevant data are pr...

Taking lower-secondary schooling within the English educational system as an example, this paper illustrates the contribution of two bodies of international scholarship to the scoping of research-based pedagogical development that aims to improve student attitude and achievement in science and mathematics. After sketching the English context of systemic reform, the paper uses findings from the ...

In the paper, by virtue of a derivative formula for ratio two differentiable functions and with help monotonicity rule, authors expand logarithmic expression involving sine function into Maclaurin power series in terms specific determinants prove decreasing property expressions containing function. These results are interesting purely pure mathematics.

let $k$ be a field of characteristic$p>0$, $k[[x]]$, the ring of formal power series over $ k$,$k((x))$, the quotient field of $ k[[x]]$, and $ k(x)$ the fieldof rational functions over $k$. we shall give somecharacterizations of an algebraic function $fin k((x))$ over $k$.let $l$ be a field of characteristic zero. the power series $finl[[x]]$ is called differentially algebraic, if it satisfies...

Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada Department of Applied Mathematics, Donghua University, Shanghai, People’s Republic of China Department of Mathematics, M. P. University of Agriculture and Technology, Rajasthan, India *Corresponding author: [email protected] Received September 15, 2013; Revised October 22, 2013; Accepted Nov...

In 1908, the German mathematician and mathematics educator Felix Klein published a series of three books (in German) under the title of Elementary Mathematics from an Advanced Standpoint, henceforth called EMAS for short. The first volume was subtitled Arithmetic, Algebra, Analysis, and the second volume was subtitled Geometry. Both of these volumes were translated into English in the1930s, and...

The goal of this project is to use through an intelligent, multimedia computer tutor to increase students’ interest in mathematics and their confidence in their ability to learn mathematics. Based on its student model, WhaleWatch selects problems of appropriate difficulty and provides help and instruction as needed. We present the results of a series of two studies. The first study showed that ...