We place additional constraints on the three parameters of the dark matter halo merger rate function recently proposed by Parkinson, Cole & Helly by utilizing Smoluchowski’s coagulation equation, which must be obeyed by any binary merging process which conserves mass. We find that the constraints from Smoluchowski’s equation are degenerate, limiting to a thin plane in the three dimensional para...

Most Codes such as API and BSI recommend Morison’s equation to estimate hydrodynamic forces on offshore structures. Significant differences exist among these Codes due to using different methods of analysis and estimation of force coefficients. In this paper, data from full scale tests have been used to evaluate random waves and uniform current actions on the smooth piles. Four time and ...

There are a number of techniques available to estimate saturated-liquid molar or specific volumes or densities of liquids. In this study, a new empirical correlation is presented to calculate volume of saturated liquids as a function of critical volume, reduced temperature and acentric factor. An optimization algorithm is utilized to obtain unknown parameters of this correlation by fitting them...

BACKGROUND AND PURPOSE Despite a recent resurgence, intravoxel incoherent motion MRI faces practical challenges, including limited SNR and demanding acquisition and postprocessing requirements. A simplified approach using linear fitting of a subset of higher b-values has seen success in other organ systems. We sought to validate this method for evaluation of brain pathology by comparing perfusi...

This paper takes a systematic look at several techniques for calculating curvature of a surface that is represented by a triangular mesh. Both discrete curvature approximation techniques and surface fitting methods are considered. We develop new methods based on a surface fit using a natural surface parameterization, and by fitting a general equation for a conic as an implicit function. Another...

Fitting the \best" straight line to a scatter plot of data D f(x1; y1) : : :(xn; yn)g in which both variables xi; yi are subject to unknown error is undoubtedly the most common problem of inference faced by scientists, engineers, medical researchers, and economists. The problem is to estimate the parameters ; in the straight line equation y = + x , and assess the accuracy of the estimates. When...

The Page equation is the most widely used equation to predict the tensile strength of paper. In this paper, the derivation of the Page equation is examined critically and a modified Page equation is proposed based on a newly developed method to calculate the relative bonded area from sheet density and fibre shape. The predictions of the original and modified Page equations were then tested agai...

Nuisance parameters do not pose any problems in Bayesian inference as marginalisation allows for study of the posterior distribution solely in terms of the parameter of interest. However, no general solution is available for removing nuisance parameters under the frequentist paradigm. In this paper, we merge the two approaches to construct a general procedure for frequentist elimination of nuis...

This article presents a new and direct approach for fitting a subdivision surface from an irregular and dense triangle mesh of arbitrary topological type. All feature edges and feature vertices of the original mesh model are first identified. A topologyand feature-preserving mesh simplification algorithm is developed to further simplify the dense triangle mesh into a coarse mesh. A subdivision ...