Results 91 to 100 of about 545,751 (316)
Projective planes, Severi varieties and spheres [PDF]
A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. We generalize this result in two directions by considering the projective planes over the normed real division algebras and by considering the complexifications of these four projective planes.
arxiv
Abstract Purpose Deep learning‐based segmentation of organs‐at‐risk (OAR) is emerging to become mainstream in clinical practice because of the superior performance over atlas and model‐based autocontouring methods. While several commercial deep learning‐based autosegmentation solutions are now available, the implementation of these tools is still at ...
Mingdong Fan+12 more
wiley +1 more source
The Penrose Transform for Complex Projective Space [PDF]
Various complexes of differential operators are constructed on complex projective space via the Penrose transform, which also computes their cohomology.
arxiv
Abstract Purpose Results of a prospective, randomized controlled trial at our institute demonstrate an association between the dose to the left hippocampus and neurocognitive decline post‐radiotherapy for patients with glioblastoma. To minimize the dose to the left hippocampus, a left hippocampus sparing model was created using RapidPlan (RP) and multi‐
Shima Y. Tari+9 more
wiley +1 more source
The theory of motions in generalized spaces is one of the directions in modern differential geometry. Such scientists as E. Cartan, P. K. Rashevsky, P. A. Shirokov, I. P. Egorov, A.Ya. Sultanov and other scientists were engaged in the study of movements
Glebova M. V. , Sultanov A.Ya.
doaj +1 more source
New examples (and counterexamples) of complete finite-rank differential varieties [PDF]
Differential algebraic geometry seeks to extend the results of its algebraic counterpart to objects defined by differential equations. Many notions, such as that of a projective algebraic variety, have close differential analogues but their behavior can vary in interesting ways.
arxiv
Abstract Purpose We introduce the next generation of “MagicPlate” 2D monolithic pixelated semiconductor detectors – MagicPlate‐976 (MP976). It features a larger array area, higher spatial resolution, and does not require external triggering. We perform a comprehensive characterization for small‐field steep‐dose‐gradient dosimetry applications in ...
Ilia Filipev+13 more
wiley +1 more source
Symbol calculus on a projective space [PDF]
In this article, we introduce symbol calculus on a projective scheme. Using holomorphic Poisson structures, we construct deformations of ring structures for structure sheaves on projective spaces.
arxiv
Abstract Purpose Quantify the impact of additional imaging doses on clinical dose constraints during lung stereotactic body radiotherapy (SBRT) treatment utilizing stereoscopic/monoscopic real‐time tumor monitoring. Materials and Methods Thirty lung SBRT patients treated with the volumetric arc therapy technique were randomly selected from the ...
Ruwan Abeywardhana, Mike Sattarivand
wiley +1 more source