Results 141 to 150 of about 4,848,832 (374)

Hausdorff Stability of the Round Two-Sphere Under Small Perturbations of the Entropy [PDF]

open access: yesarXiv, 2016
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  

Impact of enhanced leaf model on dose calculation accuracy in single‐isocenter multitarget stereotactic radiosurgery treatments

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
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

open access: yesJurnal Matematika Integratif, 2017
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]

open access: yesarXiv
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]

open access: yesIMRN, Vol 2010, No.23, pp 4399-4433, 2009
The present paper discusses that a prescribed Gauss-Kronecker curvature problem on the product of unit spheres.
arxiv  

Stereotactic radiotherapy for metastatic brain tumors: A comparative analysis of dose distributions among VMAT, Helical TomoTherapy, CyberKnife, Gamma Knife, and ZAP‐X

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
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]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 2010
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  

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