Results 141 to 150 of about 4,848,832 (374)
Hausdorff Stability of the Round Two-Sphere Under Small Perturbations of the Entropy [PDF]
We show that if a closed surface in $\mathbb{R}^3$ has entropy near to that of the unit two-sphere, then the surface is close to a round two-sphere in the Hausdorff distance.
arxiv
Extremal arrangements of points and unit charges on a sphere: equilibrium configurations revisited [PDF]
Theodor W. Melnyk+2 more
openalex +1 more source
Abstract Purpose Single‐isocenter multitarget (SIMT) radiosurgery has become increasingly popular as advancement in planning and delivery systems have made this approach clinically viable. With targets varying in size and distance from isocenter, SIMT plans are highly complex with dynamic multileaf collimator (MLC) motion.
Hem Moktan+3 more
wiley +1 more source
Biharmonic Equation on Annulus in a Unit Sphere with Polynomial Boundary Condition
We studied Biharmonic boundary value problem on annulus with polynomial data. We utilize an exact algorithms for solving Laplace equations with Dirichlet conditions with polynomial functions data.
Ikhsan Maulidi, Agah D Garnadi
doaj +1 more source
On Borsuk's non-retract theorem [PDF]
The classical Borsuk's non-retract theorem asserts that a unit sphere in $\mathbb{R}^n$ is not a continuous retract of the unit closed ball. We will show that such a unit sphere is a piecewise continuous retract of the unit closed ball.
arxiv
A prescribed Gauss-Kronecker curvature problem on the product of unit spheres [PDF]
The present paper discusses that a prescribed Gauss-Kronecker curvature problem on the product of unit spheres.
arxiv
Abstract This study evaluates various radiotherapy techniques for treating metastatic brain tumor (BT), focusing on non‐coplanar volumetric modulated arc radiotherapy (NC‐VMAT), coplanar VMAT (C‐VMAT), Helical TomoTherapy (HT), CyberKnife (CK), Gamma Knife (GK), and ZAP‐X.
Toshihiro Suzuki+9 more
wiley +1 more source
g-Natural metrics on unit tangent sphere bundles via a Musso-Tricerri process [PDF]
E. Musso and F. Tricerri had given a process of construction of Riemannian metrics on tangent bundles and unit tangent bundles, over m-dimensional Riemannian manifolds (M, g), from some special quadratic forms an OM × R^m and OM, respectively, where OM ...
Mohamed Tahar Kadaoui Abbassi
doaj
A characterisation of compact minimal hypersurfaces in a unit sphere [PDF]
Qing-Ming Cheng
openalex +1 more source