Results 101 to 110 of about 401,077 (355)

Analytic curves in algebraic varieties over number fields

, 2007
We establish algebraicity criteria for formal germs of curves in algebraic varieties over number fields and apply them to derive a rationality criterion for formal germs of functions, which extends the classical rationality theorems of Borel-Dwork and P\'
A Franchetta, B Dwork, C P Ramanujam, D G Cantor, D Harbater, D Mumford, D V Chudnovsky, D V Chudnovsky, E Kani, G Eisenstein, G Pólya, H Hironaka, H Hironaka, H Matsumura, H Randriambololona, J Fresnel, J.-B. Bost, J.-B. Bost, J.-B. Bost, J.-B. Bost, J.-P. Serre, L Bădescu, L Moret-Bailly, L Moret-Bailly, M Raynaud, M van der Put, P Graftieaux, P Graftieaux, R Hartshorne, R Hartshorne, R Rumely, R S Rumely, S Bosch, S Bosch, S Bosch, V G Berkovich, W Gubler, Y Amice, Y André, Y Ihara, Yu. I. Manin, É Borel   +41 more
core   +5 more sources

Machine learning based radiomics model to predict radiotherapy induced cardiotoxicity in breast cancer

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Cardiotoxicity is one of the major concerns in breast cancer treatment, significantly affecting patient outcomes. To improve the likelihood of favorable outcomes for breast cancer survivors, it is essential to carefully balance the potential advantages of treatment methods with the risks of harm to healthy tissues, including the heart.
Amin Talebi, Ahmad Bitarafan‐Rajabi, Azin Alizadeh‐asl, Parisa Seilani, Benyamin Khajetash, Ghasem Hajianfar, Meysam Tavakoli   +6 more
wiley   +1 more source

(Semi-)Riemannian geometry of (para-)octonionic projective planes [PDF]

arXiv, 2007
We use reduced homogeneous coordinates to study Riemannian geometry of the octonionic (or Cayley) projective plane. Our method extends to the para-octonionic (or split octonionic) projective plane, the octonionic projective plane of indefinite signature, and the hyperbolic dual of the octonionic projective plane; we discuss these manifolds in the later
arxiv  

AAPM‐RSS Medical Physics Practice Guideline 9.b: SRS‐SBRT

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract The purpose of this Medical Physics Practice Guideline (MPPG) is to describe the minimum level of medical physics support deemed prudent for the practice of linear‐accelerator, photon‐based (linac) stereotactic radiosurgery (SRS), and stereotactic body radiation therapy (SBRT) services.
Eileen Cirino, Stanley H. Benedict, Pamela J. Dupre, Per H. Halvorsen, Grace Gwe‐Ya Kim, Meral L. Reyhan, Christopher W. Schneider, Lei Wang, Carl P. Weaver, Sua Yoo   +9 more
wiley   +1 more source

On (i)-Curves in Blowups of ${\mathbb{P}}^{\mathit{r}}$

Mathematics
In this paper, we study (i)-curves with i∈{−1,0,1} in the blown-up projective space Pr in general points. The notion of (−1)-curves was analyzed in the early days of mirror symmetry by Kontsevich, with the motivation of counting curves on a Calabi–Yau ...
Olivia Dumitrescu, Rick Miranda
doaj   +1 more source

Geometric Representations of Interacting Maps

International Journal of Mathematics and Mathematical Sciences, 2010
Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. Real rational dynamics are deeply studied from global analytic viewpoints.
Tsuyoshi Kato
doaj   +1 more source

Limit geometry of complete projective special real manifolds [PDF]

arXiv, 2020
We study the limit geometry of complete projective special real manifolds. By limit geometry we mean the limit of the evolution of the defining polynomial and the centro-affine fundamental form along certain curves that leave every compact subset of the initial complete projective special real manifold.
arxiv  

Evaluation of OPTOS wide‐field fundus image projections for radiotherapy planning of uveal melanoma

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose To investigate the relationship between the stereographic and azimuthal equidistant projection (AEP) of the human retina for radiotherapy planning with OPTOS optomap wide‐field fundus images (Optos, UK). Further, the geometric accuracy of an OPTOS fundus image is quantified.
Jörg Wulff, Benjamin Koska, Michael Giese, Christian Bäumer, Ronald Richter, Andreas Foerster, Nikolaos E. Bechrakis, Beate Timmermann   +7 more
wiley   +1 more source

Higher Order Connections

Symmetry, Integrability and Geometry: Methods and Applications, 2009
The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Michael G. Eastwood
doaj   +1 more source

On manifolds with holomorphic normal projective connections [PDF]

Math. Ann. 329 (2004), 379-400, 2002
The authors give a complete classification of projective threefolds admitting a holomorphic normal projective connection. Moreover, they prove a general structure theorem on complex projective manifolds admitting a holomorphic normal projective connection, saying in particular, that any such manifold is either the projective space or minimal in the ...
arxiv