In the theorem above we assumed that the Ricci curvature is bounded below. This is not the case in general, see [7] and =-=[20]-=-. Note that the Ricci curvature is the same as the sectional, holomorphic sectional and Gaussian curvature, when the dimension is 1. Moreover, the ...
In the theorem above we assumed that the Ricci curvature is bounded below. This is not the case in general, see [7] and =-=[20]-=-. Note that the Ricci curvature is the same as the sectional, holomorphic sectional and Gaussian curvature, when the dimension is 1. Moreover, the ...
This enables the model to capture more complex curvature and nonlinear patterns in the data. Fig. 4 Associations of sleep duration with triglyceride-glucose index and insulin resistance (IR). The RCS revealed a non-linear (U-shaped) relationship between sleep duration and the TyG (A–C) index...
Meanwhile, we introduced several angular metrics (IBA, BMA and PA) that captured the curvature of the gingival papillae and interdental bone crest for the first time, serving as an enhancement to the characterization of GM and BM. This study adopted a digital multidimensional methodology ...
Sectional CurvatureGaussian CurvatureTranslation SurfaceConstant Sectional CurvatureConstant Gaussian CurvatureIn this paper we characterize affine translation surfaces with constant Gaussian curvature. We show that such surfaces must be flat and that one of the defining curves must be planar....
Curvature points arrangement (CPA) is an important step in the calculation, where the Star algorithm had been shown to be effective in segmenting the carotid artery. The algorithm however works under the assumption of circular or ellipsoid shapes, and the ability to determine its center of ...
During pregnancy, biomechanical changes are observed due to hormonal and physical modifications, which can lead to alterations in the curvature of the spine, balance, gait patterns, and functionality of the pelvic floor muscles. This study aimed to inves