Results 71 to 80 of about 438,132 (304)
On some interpretation of linear frames in projective differential geometry
The centroprojective group, i. e. the stabilizer G of a fixed point A in the group GP(n) of projective transformations of n-dimensional projective space Pn (n > 1) is considered in the paper. Two faithful representations of the linear quotient group of G
A. Kuleshov
doaj
Rationality in Differential Algebraic Geometry [PDF]
Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
arxiv
Projective and Carrollian geometry at time/space-like infinity on projectively compact Ricci flat Einstein manifolds [PDF]
In this article we discuss how to construct canonical \emph{strong} Carrollian geometries at time/space like infinity of projectively compact Ricci flat Einstein manifolds $(M,g)$ and discuss the links between the underlying projective structure of the metric $g$.
arxiv +1 more source
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
Higher dimensional uniformisation and W-geometry
We formulate the uniformisation problem underlying the geometry of W_n-gravity using the differential equation approach to W-algebras. We construct W_n-space (analogous to superspace in supersymmetry) as an (n-1) dimensional complex manifold using ...
Alvarez-Gaumé+32 more
core +1 more source
Measurement of CT radiation beam width with a pencil ionization chamber and radiopaque mask
Abstract Purpose This study compares fan beam CT scanner radiation beam widths measured with a pencil ionization chamber‐radiopaque mask technique with commonly used film and computed radiography (CR) measurements. Methods For a given fan beam CT scanner x‐ray beam, the ionization chamber‐mask technique determines the radiation beam width by exposing a
Rani Al‐Senan+2 more
wiley +1 more source
Differentiable mapping of affine Q[m] and projective P[n] spaces (m>n)
The urgency of work is caused by necessity of detailed studying of differentiable mappings of multivariate space. The main aim of the research is to study differentiable mappings of V[m, n] of affine space Q[m] to projective space P[n] (m>n); to consider
Evgeniy Ivlev+2 more
doaj +2 more sources
Projective differential geometry of space curves [PDF]
Thesis (M.A.)--University of Kansas, Mathematics ...
Senor, Muriel Elizabeth
core
Abstract Background The dose‐averaged linear energy transfer (LETD) in proton therapy (PT) has in pre‐clinical studies been linked to the relative biological effectiveness (RBE) of protons. Until recently, the most common PT delivery method in prostate cancer has been double‐scattered PT, with LETD only available through dedicated Monte Carlo (MC ...
Rasmus Klitgaard+7 more
wiley +1 more source
Invariants in c U p-Geometry [PDF]
This note describes the construction of c U p-invariant differential operators on statistical manifolds, i.e. of operators canonically associated to a geometry which synthetizes the properties of conformal and projective geometries.
arxiv