A unified expression for topological invariants has been proposed recently to describe the order in Dirac models belonging any dimension and symmetry class. We uncover a correspondence between curvature function that integrates this invariant quantum metric measures distance properly defined many-body Bloch states momentum space. Based on metric-curvature correspondence, time-resolved angle-res...

ABSTRACT The parabolic structure of the secondary or conjugate spectra pulsars is often result isolated one-dimensional (or at least highly anisotropic) lenses in interstellar medium (ISM). curvature these features contains information about velocities Earth, ISM, and pulsar along primary axis lens. As a result, measuring variations over course year, orbital period for binaries, can constrain p...

Using the visual search method, we show that stimuli that contain curvature discontinuities (i.e., points where the second derivative along an image contour is not defined) are easily found among stimuli containing only smooth changes in curvature. Curved stimuli that lack curvature discontinuities, however, are difficult to find among distractors that have them. These results suggest that the ...

Various mutants of Arabidopsis thaliana deficient in polarity, cell division, and auxin response are characterized by certain types of leaf curvature. However, comparison of curvature for clarification of gene function can be difficult without a quantitative measurement of curvature. Here, a novel method for classification and quantification of leaf curvature is reported. Twenty-two mutant alle...

A novel, flexible, three-dimensional multisensor sonar system is described to localize the center of a generalized spherical target and estimate its radius of curvature. Point, line, and planar targets are included as limiting cases which are important for the characterization of a mobile robot’s environment. Sensitivity analysis of the curvature estimate with respect to measurement errors and ...