Results 41 to 50 of about 642,101 (319)
The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic [PDF]
, 2015 It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geodesic. In other words, each two points of this space (each two compact metric spaces) can be connected by a geodesic.
arxiv +1 more source
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Positron emission tomography with x‐ray computed tomography (PET/CT) is increasingly being utilized for radiation treatment planning (RTP). Accurate delivery of RT therefore depends on quality PET/CT data. This study covers quality control (QC) procedures required for PET/CT for diagnostic imaging and incremental QC required for RTP.
Ran Klein +7 more
wiley +1 more source
Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application
Axioms, 2020 In this paper we introduce the concepts of ψ -contraction and monotone ψ -contraction correspondence in “fuzzy b -metric spaces” and obtain fixed point results for these contractive mappings.
Mujahid Abbas +2 more
doaj +1 more source
Some results for multivalued mappings in extended fuzzy b-metric spaces
AIMS Mathematics, 2023 In this paper, some fixed point results for multivalued contractions are established in setting G-complete extended fuzzy b-metric spaces. An example is furnished to demonstrate the validity of results.
Samina Batul +4 more
doaj +1 more source
Ultrametricity and metric betweenness in tangent spaces to metric spaces
P-Adic Numbers, Ultrametric Analysis, and Applications, 2010 The paper deals with pretangent spaces to general metric spaces. An ltrametricity criterion for pretangent spaces is found and it is closely related to the metric betweenness in the pretangent spaces.
Dmytro Dordovskyi, Oleksiy Dovgoshey
openaire +3 more sources
A small footprint couch‐top support device for image‐guided radiotherapy of heavy patients
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose Patients with body weights close to or above 400 lbs present unique challenges in radiation therapy since the weight limit of most treatment couches decreases as the couch‐top extends toward the treatment gantry. The purpose of this work was to develop a small footprint couch‐top support platform to safely perform image‐guided ...
Huixiao Chen +5 more
wiley +1 more source
A metric space associated with probability space
International Journal of Mathematics and Mathematical Sciences, 1993 For a complete probability space (Ω,∑,P), the set of all complete sub-σ-algebras of ∑, S(∑), is given a natural metric and studied. The questions of when S(∑) is compact or connected are awswered and the important subset consisting of all continuous sub ...
Keith F. Taylor, Xikui Wang
doaj +1 more source
Partial b_{v}(s) and b_{v}(θ) metric spaces and related fixed point theorems [PDF]
FACTA UNIVERSITATIS (NIS), Ser. Math. Inform., Vol. 35, No 3
(2020), 621-640, 2018 In this paper, we introduced two new generalized metric spaces called partial b_{v}(s) and b_{v}({\theta}) metric spaces which extend b_{v}(s) metric space, b-metric space, rectangular metric space, v-generalized metric space, partial metric space, partial b-metric space, partial rectangular b-metric space and so on. We proved some famous theorems such
arxiv +1 more source
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Background and purpose For postoperative breast cancer patients, deformable image registration (DIR) is challenged due to the large deformations and non‐correspondence caused by tumor resection and clip insertion. To deal with it, three metrics (fiducial‐, region‐, and intensity‐based) were jointly used in DIR algorithm for improved accuracy ...
Xin Xie +6 more
wiley +1 more source
A new extension to the controlled metric type spaces endowed with a graph
Advances in Difference Equations, 2021 In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [ ℘ ( s , r ) = 0 ⇔ s = r ] by [ ℘ ( s , r ) = 0 ⇒ s = r ] $$ \bigl[\wp (s,r)=0 \Leftrightarrow s=r\bigr]\quad \text{by ...
Nabil Mlaiki +3 more
doaj +1 more source