Study of generalized cylindrical polytropes with complexity factor

In this paper, complexity factor is used with generalized polytropic equation of state to develop two consistent systems of three differential equations and a general frame work is established for modify form of Lane-Emden equations. For this purpose anisotropic fluid distribution is considered in cylindrical static symmetry with two cases of generalized polytropic equation of state (i) mass density $$\mu _{o}$$ μ o and (ii) energy density $$\mu $$ μ . A graphical analysis will be carried out for the numerical solution of these systems of three differential equations.

Short Badminton Service Construction Test in Universitas Islam Riau Penjaskesrek Students

This research aims to develop or modify form test instrument servicing existing badminton short then made a slight improvement in accordance with BWF badminton latest applied. This research method using the methods of research and development or research and development. Research and development instrument validation using validation of content performed by some of the experts (experts judgment) which make a person test and measurement experts and two experts in the sport of badminton. Based on the results of the analysis of the evaluation of the test instrument expert servicing three short badminton declared valid and reliability, so that it can be used as research for students of Penjaskesrek Universitas Islam Riau.

First Order Reliability Method With Truncated Random Variables

In many engineering applications, the probability distributions of some random variables are truncated; these truncated distributions are resulted from restricting the domain of other probability distributions. If the first order reliability method (FORM) is directly used, the truncated random variables will be transformed into unbounded standard normal distributions. This treatment may result in large errors in reliability analysis. In this work, we modify FORM so that the truncated random variables are transformed into truncated standard normal variables. After the first order approximation and variable transformation, saddlepoint approximation is then used to estimate the reliability. Without increasing the computational cost, the proposed method is generally more accurate than the original FORM for problems with truncated random variables.