Aiming at reducing the vibration of CNC machine tools and increasing manufacturing quality, an interpolation method for parametric tool pathes with confined jounce, jerk, acceleration, and speed is proposed. An acceleration/deceleration profile with confined jounce, jerk, acceleration, and speed is proposed and it is proved that this profile is time-optimal to change the speed from one value to...

Reconstruction strategies for the ear should address the major aesthetic goals of maintaining the helical curvature and the symmetric frontal profile. When the auditory canal is involved, maintaining its patency is a major functional goal. The anatomic location of the defect, by virtue of its topographic features and adjacent donor pools, will dictate the appropriate reconstructive option. Fami...

This paper presents a neural time-base generator TBG that can generate a family of neural control signals with a controllable finite duration and bell-shaped velocity profile. Then, a bio-mimetic trajectory generation method using the neural TBG model is explained. Using the proposed model, the generation ability of human-like trajectories is examined through comparisons between computer simula...

The geometric curvature of nanoscale magnetic shells brings about curvature-induced anisotropy and Dzyaloshinskii–Moriya interaction (DMI). Here, we derive equations to describe the profile vortex state in a spherical cap. We demonstrate that azimuthal component magnetization acquires finite tilt at edge cap, which results increase surface energy. This is different compared case closed shell, w...

We construct embedded ancient solutions to mean curvature flow related certain classes of unstable minimal hypersurfaces in \({\mathbb {R}}^{n+1}\) for \(n \ge 2\). These provide examples convex yet nonconvex that are not solitons, meaning they do evolve by rigid motions or homotheties. Moreover, we eternal \(O(n)\times O(1)\)-invariant, and nonconvex. They out the catenoid rotation a profile c...

OBJECTIVE Report the results using porcine small intestinal submucosa (SIS) as a graft material in the surgical management of Peyronie's disease (PD). MATERIALS AND METHODS We performed a retrospective chart review of men with PD who underwent surgical correction of the curvature by plaque "H" incision and patch grafting with 4-ply SIS (Cook, Bloomington, IN) by a single surgeon at our instit...

The physical properties of the lamellar lipid-bilayer component of biological membranes are controlled by a host of thermodynamic forces leading to overall tensionless bilayers with a conspicuous lateral pressure profile and build-in curvature-stress instabilities that may be released locally or globally in terms of morphological changes. In particular, the average molecular shape and the prope...

We investigate relations between spatial properties of the free energy and the radius of Gaussian curvature of the underlying curved lattice geometries. For this purpose we derive recurrence relations for the analysis of the free energy normalized per lattice site of various multistate spin models in the thermal equilibrium on distinct non-Euclidean surface lattices of the infinite sizes. Where...

let (m,g ) be a compact immersed hypersurface of (rn+1,) , λ1 the first nonzeroeigenvalue, α the mean curvature, ρ the support function, a the shape operator, vol (m ) the volume of m,and s the scalar curvature of m. in this paper, we established some eigenvalue inequalities and proved theabove.1) 1 2 2 2 2m ma dv dvn∫ ρ ≥ ∫ α ρ ,2)( )2 2 1 2m 1 mdv s dvn nα ρ ≥ ρ∫ − ∫ ,3) if the scalar curvatu...