We give a parameterization, using Jacobi’s elliptic functions, of Alfred Gray’s Elliptical Catenoid and Elliptical Hellicoid that avoids some problems present in the original depiction of these surfaces.

Background: Semi-recumbent cycling exercise has been used as a strategy to complement gait retraining in individuals with disordered walking ability. However, seated elliptical stepping might be a more potent exercise modality for this purpose. Yet, there has not been a kinematic analysis of elliptical stepping exercise, whereby the movement path is produced by a slider-crank mechanism. This st...

The local parameters of linear, circular, and elliptical birefringence of backscattered light along a single-mode fiber are analyzed, and the twist-bending-induced elliptical birefringence in an extremely low birefringent single-mode fiber is measured using the backscattering method. The experimental results are in good agreement with the theoretical calculations. For a 130-microm-diameter fibe...

Ordinal embedding aims at finding a low dimensional representation of objects from set constraints the form ”item j is closer to item i than k”. Typically, each object mapped onto point vector in metric space. We argue that mapping density instead provides some interesting advantages, including an inherent reflection uncertainty about itself and its relative location Indeed, this paper, we prop...

The maximum width of an intensity-modulated radiotherapy (IMRT) treatment field is usually smaller than the conventional maximum collimator opening because of design limitations inherent in some multileaf collimators (MLCs). To increase the effective field width, IMRT fluences can be split and delivered with multiple carriage positions. However, not all treatment-planning systems and MLCs suppo...

Several studies have already considered the influence of tides on the evolution of systems composed of a star and a close-in companion to tentatively explain different observations such as the spin-up of some stars with hot Jupiters, the radius anomaly of short orbital period planets and the synchronization or quasi-synchronization of the stellar spin in some extreme cases. However, the nature ...