Undetected subclinical keratoconus (KC) is the main risk factor for iatrogenic ectasia. Many parameters have been proposed to help differentiate normal from subclinical KC corneas. Linear discriminant analysis is a technique that models the difference between different classes of data by looking for linear combinations of variables which best explain the data. The association of surfaces elevat...

A model for the pinching of an inviscid liquid column, originally developed by Lee, is considered. We find that Lee’s model has a singularity in the curvature at a finite thread radius, and therefore does not describe breakup. However, the observed steepening of the profile corresponds to experiments with fluids at low viscosity. The singularity has similarity form, which we compute analyticall...

We address the problem posed by the inhomogeneous trapping fields when using ultracold fermions to simulate strongly correlated electrons. As a starting point, we calculate the density of states for a single atom. Using semiclassical arguments, we show that this can be made to evolve smoothly towards the desired limit by varying the curvature of the field profile. Implications for mutually inte...

In the current paper, the effect of curling and warping, caused by environmental ambient conditions, on the initial smoothness of concrete pavements is discussed. Surface profile measurements were made during the hours of the early morning and late afternoon on an instrumented jointed plain concrete pavement ( JPCP) on highway US-30 near Marshalltown, Iowa during the first seven days after cons...

Trajectory planning is commonly used as part of a local planner in autonomous driving. This paper considers the problem continuous-curvature-rate trajectory between fixed start and goal states that minimizes tunable trade-off passenger comfort travel time. The an instance infinite dimensional optimization over two continuous functions: path velocity profile. We propose simplification this facil...

Abstract This paper focuses on two aspects of feedrate optimization via linear programming methods. Namely, the effect curve sampling time optimality resultant profile and a method adaptation in response to override command. A comparison three distinct approaches (uniform parameter, uniform arc length curvature adaptive) is performed series standard tool path curves. Results show that curvature...

Abstract Double source lensing provides a dimensionless ratio of distance ratios, “remote viewing” cosmology through distances relative to the gravitational lens, beyond observer. We use this test cosmological framework, particularly with respect spatial curvature and duality relation. derive consistency equation for constant curvature, allowing not only investigation flat vs curved but Friedma...

The wavefront profile and the propagation velocity of waves in an experimentally observed Belousov–Zhabotinskii reaction are analyzed and a revised FitzHumgh–Nagumo (FHN) model of these systems is identified. The ratio between the excitation period and the recovery period, for a solitary wave is studied, and included within the model. Averaged traveling velocities at different spatial positions...

This paper reports an optofluidic lens with low spherical and low field curvature aberrations through the desired refractive index profile by precisely controlling the mixing between ethylene glycol and deionized water in an optofluidic chip. The experimental results demonstrate that the spherical aberration is reduced to 19.5 μm and the full width at half maximum of the focal point is 7.8 μm w...

Proteins containing a Bin/Amphiphysin/Rvs (BAR) domain regulate membrane curvature in the cell. Recent simulations have revealed that BAR proteins assemble into linear aggregates, strongly affecting membrane curvature and its in-plane stress profile. Here, we explore the opposite question: do mechanical properties of the membrane impact protein association? By using coarse-grained molecular dyn...