Let M be a non-compact hyperbolic 3-manifold that has a triangulation by positively oriented ideal tetraedra. We explain how to produce local coordinates for the variety defined by the gluing equations for SL(3,C)representations. In particular we prove local rigidity of the “geometric” representation in SL(3,C), recovering a recent result of Menal-Ferrer and Porti. More generally we give a crit...

This vignette presents a brief review about the existing approaches for the post-hoc analysis of interactions in factorial experiments, and describes how to perform some of the cited calculations and tests with the functions of the package phia in R. Those functions include the calculation and plotting of cell means, and testing simple effects, residual effects, and interaction contrasts, among...

in this study, flow characteristics through symmetric stenosis artery are investigated. the shape of eccentricity for stenotic flows is limited by circular-cross sections and plaques are usually assumed as to be oriented concentrically. thegoverningequationsaretheusualnavier-stokesequationsandare numericallysolved by using finite volumemethod in arbitrary orthogonal curvilinear coordinates. in ad...