Current Issue : October - December Volume : 2018 Issue Number : 4 Articles : 6 Articles
In the case of comparison between samples with unequal replications [n1 # n2\n# n3 # âË?â?¢Ã¢Ë?â?¢Ã¢Ë?â?¢ # nk], the statistician should use LSD (Least Significant Difference)\nmany times to achieve these comparisons, this method consumes more time\nand effort. The purpose of this research is to find out a new method to do easy\nand reliable comparison between population means when the experiment or\ndata involving different numbers of replications. In order to do this, a new\nformula was designed; the aim of this new formula is to develop the multiple\ncomparisons into one step instead of doing it with many steps that consume\nmore effort and time. In this work, the researcher used the mean of the replication\nnumber in the LDS formula instead of doing the calculation many\ntimes for each two means. The results of this study found that the new formula\ngive similar results for multiple comparisons with minimal effort. It was\nconcluded that the new formula (named Al-fahhamââ?¬â?¢s Formula) achieves the\nsame results with less time and efforts. It was recommended that Al-fahhamââ?¬â?¢s\nFormula can be approved in the statistical textbooks and procedures....
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In this work we study virtual social networks known as Facebook. It is used by\nmillions of people worldwide, gathering a combination of virtual elements\nand real world components. We suggest a probabilistic model to describe the\nlong-term behavior of Facebook. This model includes different friendship\nconnection between profiles, directly or by suggestion. Due to web�s high interactivity\nlevel, we simplify the model assuming Markovian dynamic. After\nthe model is established we propose Complete Transversality (CT) communication\nconcept. CT describes people interaction that reflects profile behaviour\nand leads to estimators that measure this interaction. Then we introduce a\nweakness version of CT named Segmental Transversality (ST). Within this\nframework we develop estimators that allow hypothesis testing of CT and ST.\nAnd then, in ST context we propose performance measures to address a priori\nsegmentation�s quality....
In this paper, we investigate the Lie point symmetries of Klein-Gordon equation\nand Schr�¶dinger equation by applying the geometric concept of Noether\npoint symmetries for the below defined Lagrangian. Moreover, we organize a\nstrong relationship among the Lie symmetries related to Klein-Gordon as well\nas Schr�¶dinger equations. Finally, we utilize the consequences of Lie point\nsymmetries of Poisson and heat equations within Riemannian space to conclude\nthe Lie point symmetries of Klein-Gordon equation and Schr�¶dinger\nequation within universal Riemannian space....
In this paper, by the classical method of Riordan arrays, establish several general\ninvolving higher-order Changhee numbers and polynomials, which are\nrelated to special polynomials and numbers. From those numbers, we derive\nsome interesting and new identities....
From the hypotheses that the position-representation of a physical state is\nthe Fourier transform of its momentum-representation and that the timerepresentation\nis the inverse Fourier transform of its energy-representation,\nwe are able to obtain the Planck relation E h , the de Broglie relation\np h , the Dirac fundamental commutation relation, the Schr�¶dinger equations,\nthe Heisenberg uncertainty principle in quantum mechanics, and the\nannihilation/creation of a photon from excitation/de-excitation of an atom\nfollowing Bohr....
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