Results 41 to 50 of about 4,848,832 (374)
Characterizing small spheres in a unit sphere by Fischer–Marsden equation
We use a nontrivial concircular vector field u on the unit sphere S n + 1 $\mathbf{S}^{n+1}$ in studying geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere S n + 1 $\mathbf{S}^{n+1}$ naturally inherits a vector field v and a ...
Nasser Bin Turki+2 more
doaj +1 more source
The space of harmonic two-spheres in the unit four-sphere [PDF]
A harmonic map of the Riemann sphere into the unit 4-dimensional sphere has area 4 pi d for some positive integer d, and it is well-known that the space of such maps may be given the structure of a complex algebraic variety of dimension 2d+4. When d is less than or equal to 2, the subspace consisting of those maps which are linearly full is empty.
Bolton, J., Woodward, L. M.
openaire +4 more sources
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II. Classification of axisymmetric no-swirl solutions [PDF]
We classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus the south and north poles, parameterizing them as a four dimensional ...
Li Li, Yanyan Li, Xukai Yan
semanticscholar +1 more source
3D CHANGE DETECTION FOR SEMI-AUTOMATIC UPDATE OF BUILDINGS IN 3D CITY MODELS [PDF]
Automatic update of 3D city models has become a crucial operation in the context of urban digital twins. It commonly relies on a reconstruction from ALS point clouds.
A. Tamort+3 more
doaj +1 more source
Motion-Sphere: Visual Representation of the Subtle Motion of Human Joints
Understanding and differentiating subtle human motion over time as sequential data is challenging. We propose Motion-sphere, which is a novel trajectory-based visualization technique, to represent human motion on a unit sphere. Motion-sphere adopts a two-
Adithya Balasubramanyam+4 more
doaj +1 more source
Local stability of perfect alignment for a spatially homogeneous kinetic model [PDF]
We prove the nonlinear local stability of Dirac masses for a kinetic model of alignment of particles on the unit sphere, each point of the unit sphere representing a direction.
Degond, Pierre+2 more
core +2 more sources
Background Empirical evidence suggests data and insights from the clinical practice guidelines and clinical quality registries are not being fully utilised, leaving health service managers, clinicians and providers without clear guidance on how best to ...
Kathy Dempsey+6 more
doaj +1 more source
Positive definite functions on the unit sphere and integrals of Jacobi polynomials [PDF]
It is shown that the integrals of the Jacobi polynomials \begin{equation*}%\label{eq:Fn^J} \int_0^t (t-\theta)^\delta P_n^{(\alpha-\frac12,\beta-\frac12)}(\cos \theta) \left(\sin \tfrac{\theta}2\right)^{2 \alpha} \left(\cos \tfrac{\theta}2\right)^{2 ...
Yuan Xu
semanticscholar +1 more source
Polynomial interpolation on the unit sphere II [PDF]
The problem of interpolation at $(n+1)^2$ points on the unit sphere $\mathbb{S}^2$ by spherical polynomials of degree at most $n$ is proved to have a unique solution for several sets of points. The points are located on a number of circles on the sphere with even number of points on each circle.
Noemi Lain Fernandez+2 more
openaire +3 more sources
Background Effective inclusion in society for young people with disabilities is increasingly seen as generating opportunities for self-development, and improving well-being.
Catherine Arnaud+11 more
doaj +1 more source