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.

purpose: to determine the prevalence of intraocular injuries in patients with blow-out fracture and also to evaluate the etiologic mechanism of orbital blow-out fractures methods: this study is a consecutive case series analysis of 116 patients with orbital blow-out fractures. the patients were visited by an ophthalmologist within 24 hours of trauma. results: ninety-one men and twenty-five wome...

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...