We consider the problem of approximating a p × m rational transfer function H(s) of high degree by another p × m rational transfer function b H(s) of much smaller degree. We derive the gradients of the H2-norm of the approximation error and show how stationary points can be described via tangential interpolation. Keyword Multivariable systems, model reduction, optimal H2 approximation, tangenti...

Tangential and radial angles of muons in EAS, a useful concept in investigation of the muon production height, can be used also for the investigation of the muon momenta. A parameter ζ, being a combination of tangential and radial angles, is introduced and its possible applications in investigation of muons in showers are presented.

B = dimensionless coefficient in polynominals b = dimensionless coefficient in polynominals F = dimensionless radial velocity G = dimensionless tangential velocity H = dimensionless axial velocity K = 7 / 2 p r ~ ( v u ) ' / ~ , dimensionless parameter Q = $ow rate 8' = dimensionless flow rate r = radial coordinate u = radial velocity II = tangential velocity w = axial velocity z = axial coordi...

The aim of the present study is to describe the tangential migration of cortical neurons in early human foetuses aged 9-11 weeks. Histological sections showed that in this early period of development most of the neurons migrate along radial glia, but there is also tangential migration, especially from the lateral eminence.

An element of arc length or an element of surface area can naturally be approximated using either an inscribed object or a tangential object. An approach often followed is to use inscribed objects for arc length and tangential objects for surface area. Why the difference? This paper explores the roads less traveled. Both inscribed and tangential approximations can be used in either situation ar...

In this work, we show for the first time that the tangential diffusion component is orientationally coherent at the human cortical surface. Using diffusion magnetic resonance imaging (dMRI), we have succeeded in tracking intracortical fiber pathways running tangentially within the cortex. In contrast with histological methods, which reveal little regarding 3-dimensional organization in the huma...

Impact is indispensable in robotic manipulation tasks in which objects and/or manipulators move at high speeds. Applied research using impact has been hindered by underdeveloped computational foundations for rigid body collision. This paper studies the computation of tangential impulse as two rigid bodies in the space collide at a point with both tangential compliance and friction. It extends S...

Prenatal cocaine exposure impairs brain development and produces lasting alterations in cognitive function. In a prenatal cocaine exposure mouse model, we found that tangential migration of GABA neurons from the basal to the dorsal forebrain and radial neuron migration within the dorsal forebrain were significantly decreased during the embryonic period. The decrease in the tangential migration ...

Background: The purpose of this study was to assess the dose distribution and coverage of level Ⅰ-Ⅱ axillary lymph nodes during whole breast tangential field radiotherapy (RT) after breast-conserving surgery in patients with breast cancer. Materials and Methods: The level Ⅰ-Ⅱ axillary lymph node volumes were retrospectively contoured by a single radiation oncologist based on computed tomography...

We consider admissible random walks on hyperbolic graphs. For a given harmonic function on such a graph, we prove that asymptotic properties of non-tangential boundedness and non-tangential convergence are almost everywhere equivalent. The proof is inspired by the works of F. Mouton in the cases of Riemannian manifolds of pinched negative curvature and infinite trees. It involves geometric and ...