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The radial distribution function is an important measure because several key thermodynamic properties, such as potential energy and pressure can be calculated from it. For a 3-D system where particles interact via pairwise potentials, the potential energy of the system can be calculated as follows: [ 6 ]
There are two branches in statistics: ‘Descriptive statistics’’ and ‘’ Inferential statistics. Descriptive statistics involves methods of organizing, picturing and summarizing information from data. Inferential statistics involves methods of using information from a sample to draw conclusions about the Population.
In statistical mechanics the Percus–Yevick approximation [1] is a closure relation to solve the Ornstein–Zernike equation. It is also referred to as the Percus–Yevick equation. It is commonly used in fluid theory to obtain e.g. expressions for the radial distribution function. The approximation is named after Jerome K. Percus and George J ...
There are a few reviews of free statistical software. There were two reviews in journals (but not peer reviewed), one by Zhu and Kuljaca [26] and another article by Grant that included mainly a brief review of R. [27] Zhu and Kuljaca outlined some useful characteristics of software, such as ease of use, having a number of statistical procedures and ability to develop new procedures.
SuperCROSS – comprehensive statistics package with ad-hoc, cross tabulation analysis; Systat – general statistics package; The Unscrambler – free-to-try commercial multivariate analysis software for Windows; Unistat – general statistics package that can also work as Excel add-in; WarpPLS – statistics package used in structural ...
For example, a radial function Φ in two dimensions has the form [1] (,) = (), = + where φ is a function of a single non-negative real variable. Radial functions are contrasted with spherical functions , and any descent function (e.g., continuous and rapidly decreasing ) on Euclidean space can be decomposed into a series consisting of radial ...
In directional statistics, the projected normal distribution (also known as offset normal distribution, angular normal distribution or angular Gaussian distribution) [1] [2] is a probability distribution over directions that describes the radial projection of a random variable with n-variate normal distribution over the unit (n-1)-sphere.
In 1993, this was developed into a set of DOS-based computer programs by Paul M. Gahlinger with the assistance of one of the original authors of calculator programs, Prof. JH Abramson [2] that came to be called Pepi (an acronym for "Programs for EPIdemiologists") and evolved, after its fourth version in 2001, [3] into WinPepi (Pepi-for-Windows).