We investigate the voting rules in the Council of the European Union. It is known that the current system, according to the Treaty of Nice, and the voting system proposed in the Lisbon treaty both strongly deviate from the square root law by Penrose. This is known to be the ideal voting rule under certain assumptions. In 2004 SS lomczynski and ˙ Zyczkowski designed a voting system, now known as...

This study was conducted to determine the morphology of mandibular dental arch forms. Two different methods were used for this purpose and compared to find out the frequency distribution. It was conducted on 100 patients visiting Lahore Medical and Dental College, Lahore. Dental casts were photocopied and investigated to find out the square, tapering and ovoid arch forms. A mathematical model o...

Meta-analysis seeks to combine the results of several experiments in order to improve the accuracy of decisions. It is common to use a test for homogeneity to determine if the results of the several experiments are sufficiently similar to warrant their combination into an overall result. Cochran's Q statistic is frequently used for this homogeneity test. It is often assumed that Q follows a chi...

We propose a method to detect the existence of quantitative trait loci (QTL) in a backcross population using a score test. Since the score test only uses the MLEs of parameters under the null hypothesis, it is computationally simpler than the likelihood ratio test (LRT). Moreover, because the location parameter of the QTL is unidentifiable under the null hypothesis, the distribution of the maxi...

We investigate the voting rules in the Council of the European Union. It is known that both the current system, according to the Treaty of Nice, and the voting system proposed in the Lisbon treaty deviate strongly from the square root law by Penrose which is known to be the ideal voting rule under certain assumptions. In 2004 S lomczynski and Życzkowski designed a voting system, now known as th...

Weibull distribution was used to fit tree diameter data collected from 86 sample plots located in Chinese pine stand in Beijing. To estimate the Weibull distribution parameters, three methods [namely maximum likelihood estimation method (MLE), method of moment (MOM) and least-squares regression method (LSM)] were compared and evaluated on the basis of the mean square error (MSE) and sample size...

We introduce an alternative skew-slash distribution by using the scale mixture of the exponential power distribution. We derive the properties of this distribution and estimate its parameter by Maximum Likelihood and Bayesian methods. By a simulation study we compute the mentioned estimators and their mean square errors, and we provide an example on real data to demonstrate the modeling strengt...

In this paper, we show an improved bound and new algorithm for the online square-into-square packing problem. This twodimensional packing problem involves packing an online sequence of squares into a unit square container without any two squares overlapping. The goal is to find the largest area α such that any set of squares with total area α can be packed. We show an algorithm that can pack an...

A parallel algorithm is presented for triangular system solving on a distributed-memory MIMD computer with a square mesh topology. The algorithm is based on the square grid (scattered) distribution of matrix elements across the processors. The theoretical time complexity is 12/p q-O(n), for p processors and an n x n matrix. Experimental timings of an implementation in occam 2 on a square mesh o...