In the previous lecture we developed the notion of the curvature of a surface, showing a bunch of nice theoretical properties. But aside from theoretical elegance, what’s so great about curvature? Well, remember from the plane curve setting that the curvature function uniquely defines a curve parameterized by arc length up to a rigid motion. A similar result holds for surfaces, though the proof...

We study the behavior of wave propagation in materials for which not all of the principal elements of the permeability and permittivity tensors have the same sign. We find that a wide variety of effects can be realized in such media, including negative refraction, near-field focusing, and high impedance surface reflection. In particular, a bilayer of these materials can transfer a field distrib...

LIST OF PRINCIPAL SYMBOLS Ey Hz H h k ^-component of electric field strength, z-component of magnetic field strength. Height of aperture. Height of source slot above guiding surface. Phase constant for free space. kx = Decay constant of surface wave. V(h) = Voltage across slot at height h. x,y,z = Rectangular co-ordinates. Phase-change coefficient in ^-direction. Phase-change coefficient of sur...

Aims. We study degeneracies between cosmological parameters and measurement errors from cosmic shear surveys. We simulate realistic survey topologies with non-uniform sky coverage, and quantify the effect of survey geometry, depth and noise from intrinsic galaxy ellipticities on the parameter errors. This analysis allows us to optimise the survey geometry. Methods. We carry out a principal comp...

INTRODUCTION: Comprehensive characterization of myocardial viability continues to be of diagnostic interest to clinicians. Magnetic resonance (MR) tagging is considered the gold standard imaging tool for noninvasive assessment of functional viability in the form of mechanical strain tensors [1]. Principal strain orientations, which correspond to directions of maximal deformations (stretching, c...

A dvances in 3-dimensional (3D) echocardiography offer a rapid, effective imaging technique with adequate temporal and spatial resolution for left ventricular motion assessment. 3D multidirectional tracking of the endocardial left ventricular layer has shown that the functional pattern of directional strain arrangement during cardiac contraction closely relates with the structural architecture ...

In this study, vacuum oxygen plasma was applied to enhance the comfort properties of polyester/cotton (P/C) blend fabric (65/35%) for tropical climatic conditions. addition, air and argon were used examine aging effect by TEGEWA drop test. Taguchi method employed design experiment analyze largest influential variable as well optimal parameter levels. More attention given evaluation wickability,...

Based on composite optical transformation, we propose a rotatable illusion media with positive permittivity and permeability to manipulate terahertz waves, and a new way to realize singular parameter-independent cloaks when the incident wave with a certain width propagates from specific incident directions. The fundamental mechanism of this kind of cloak is that the illusion media can be able t...

A reverse genetic strategy was used to isolate Arabidopsis plants containing "knockout" mutations in AKT1 and AKT2, two members of a K+ channel gene family. Comparative studies of growth and membrane properties in wild-type and mutant seedlings were performed to investigate the physiological functions of these two related channels. The growth rates of plants supplied with rate-limiting concentr...