We present a quadratically converging algorithm for m based on a formula of Legendre's for complete elliptic integrals of modulus sin(w/12) and the arithmetic-geometric mean iteration of Gauss and Legendre. Precise asymptotics are provided which show this algorithm to be (marginally) the most efficient developed to date. As such it provides a natural computational check for the recent large-sca...

plane and mulberry trees play a crucial role in purifying the polluted air in tehran as a majorcity. in this research, 13 main districts of tehran city were chosen as study area. 20 completely healthy planeand mulberry species were selected in similar ecological conditions and age range. the uptake of cd and pbwas determined using spectrophotometry, whereas the chlorophyll content was measured ...

— Convergence of national GDP/capita numbers is a common, but narrow, measure of global success or failure in development. This paper takes a broader range of quality of life variables covering health, education, rights and infrastructure and examines if they are converging across countries. It finds that these measures are converging as a rule and (where we have data) that they have been conve...

In this paper, we study the numerical solution of hybrid fuzzy differential equations by using differential transformation method (DTM). This is powerful method which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. Several numerical examples are given and by comparing the numerical results obtained from DTM  and  predi...