A new method for solution of the evolution of plane curves satisfying the geometric equation v= (x; k; ), where v is the normal velocity, k and are the curvature and tangential angle of a plane curve ⊂R2 at the point x∈ , is proposed. We derive a governing system of partial di erential equations for the curvature, tangential angle, local length and position vector of an evolving family of plane...

ABSTRACT Local measurements and 3-D CFD simulations in GasLiquid cylindrical Cyclone (GLCC) separators are scarce. The main objective of this study is to conduct local measurements and 3-D CFD simulations to understand the swirling flow behavior in a cylindrical cyclone with one inclined tangential inlet. Axial and tangential velocities and turbulent intensities across the GLCC diameter (ID=3.5...

Port-Hamiltonian systems result from port-based network modeling of physical systems and are an important example of passive state-space systems. In this paper, we develop the framework for model reduction of large-scale multi-input/multioutput port-Hamiltonian systems via tangential rational interpolation. The resulting reduced-order model not only is a rational tangential interpolant but also...

In brain development, excitatory and inhibitory neurons show distinct types of migration, radial migration and tangential migration, respectively. Whether these two types of migration are operated by similar cellular mechanisms remains unclear. Here we examined mice deficient in mDia, a Rho-regulated actin nucleator, in neuronal migration. mDia deficiency impaired tangential migration of cortic...

Several general trends have been identified for equilibrated, selfgravitating collisionless systems, such as density or anisotropy profiles. These are integrated quantities which naturally depend on the underlying velocity distribution function (VDF) of the system. We study this VDF through a set of numerical simulations, which allow us to extract both the radial and the tangential VDF. We find...

Port-Hamiltonian systems result from port-based network modeling of physical systems and are an important example of passive state-space systems. In this paper, we develop the framework for model reduction of large-scale multi-input/multioutput port-Hamiltonian systems via tangential rational interpolation. The resulting reduced-order model not only is a rational tangential interpolant but also...

This paper presents a positioning strategy for flank milling ruled surfaces. It is a modification of a positioning method developed by Bedi et al. [1]. A cylindrical cutting tool is initially positioned tangential to the two boundary curves on a ruled surface. Optimization is used to move these tangential points to different curves on the ruled surface to reduce the error. A second optimization...

Monoclonal antibody PC3.1 detects a unique subpopulation of neurons located mainly in layer VI and, to a lesser extent, in layer V within the lateral neocortical areas in the rat. In an attempt to characterize these neurons, we determined the time of their generation in selected neocortical areas by a double-labeling experiment combining quantitative long-survival 3H-thymidine autoradiography a...

It has recently been suggested that observed galaxy rotation curves can be accounted for by general relativity without recourse to dark-matter halos. A number of objections have been raised, which have been addressed by the authors. Here, the calculation of tangential velocity is questioned. Comment on the Relativistic Galactic Model by Cooperstock and Tieu 2 1. Galactic tangential velocity Coo...

BACKGROUND Although adult vertebrates sense changes in head position by using two classes of accelerometer, at larval stages zebrafish lack functional semicircular canals and rely exclusively on their otolithic organs to transduce vestibular information. RESULTS Despite this limitation, we find that larval zebrafish perform an effective vestibulo-ocular reflex (VOR) that serves to stabilize g...