Results 111 to 120 of about 9,340 (278)

The Hausdorff Measure of Regular ω-languages is Computable

, 1998
We show that there is an algorithm which computes Hausdorff dimension and Hausdorff measure of arbitrary regular ω-languages. Our algorithm is a generalization of the one given in [MS94] which was designed to compute Hausdorff dimension and Hausdorff ...
Ludwig Staiger
core  

On the computability of fractal dimensions and Hausdorff measure

, 1998
It is shown that there exist subsets A and B of the real line which are recursively constructible such that A has a nonrecursive Hausdorff dimension and B has a recursive Hausdorff dimension (between 0 and 1) but has a finite, nonrecursive Hausdorff ...
Ko, Ker-I.
core   +1 more source

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

On the Computation of the Hausdorff Dimension of the Walrasian Economy:Further Notes

: In a recent paper, Dominique (2009) argues that for a Walrasian economy with m consumers and n goods, the equilibrium set of prices becomes a fractal attractor due to continuous destructions and creations of excess demands.
Dominique, C-Rene
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Rendering transparency to ranking in educational assessment via Bayesian comparative judgement

Review of Education, Volume 14, Issue 2, August 2026.
Abstract Transparency in educational assessment has become an increasingly pressing concern, particularly in the aftermath of the pandemic, as institutions seek more equitable, robust and defensible methods of evaluating student work. Comparative judgement (CJ) has gained traction as a promising alternative to traditional rubric‐based marking. However,
Andy Gray, Stephen Lindsay, Jen Pearson, Tom Crick, Alma Rahat   +4 more
wiley   +1 more source

Measure of noncompactness of operators and matrices on the spaces c and c0

International Journal of Mathematics and Mathematical Sciences, 2006
In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse, Eberhard Malkowsky, Vladimir Rakocevic   +2 more
doaj   +1 more source

Uncertainty quantification of U‐Net based segmentation tool using conformal prediction

Journal of Applied Clinical Medical Physics, Volume 27, Issue 7, July 2026.
Abstract Background The radiation therapy treatment process is very labour intensive, and artificial intelligence (AI) based auto contouring tools are increasingly being adopted to improve efficiency. However, current acceptance testing of AI auto contouring algorithms relies primarily on area‐ and distance‐based metrics, with limited assessment of ...
Bailey J. Borden, John B. Graham‐Knight, Patricia Lasserre, Sarah Lucas, Rasika D. Rajapakshe   +4 more
wiley   +1 more source

Personalized eye protection for head CT organ‐based tube current modulation: A deep learning approach to derive 3D eyeball models from a single‐view topogram

Journal of Applied Clinical Medical Physics, Volume 27, Issue 7, July 2026.
Abstract Background The lens of the eye is highly radiosensitive, yet personalized shielding during head CT remains challenging due to the lack of a rapid, pre‐scan localization method. Purpose To develop and validate a deep learning solution that enables automated, patient‐specific eye protection by generating a precise 3D eyeball model directly from ...
Xiaolin Meng, Lei Zhu, Shenghao Chen, Manhua Liu, Yang Wang   +4 more
wiley   +1 more source

The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Advances in Nonlinear Analysis
In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng   +3 more
doaj   +1 more source

Some properties of Hausdorff measure theory

, 1965
CHAPTER I The definition of all the measure functions used in the thesis. CHAPTER II The condition for a measure function to to be a Hausdorff diametral dimension function in p-dimensional real Euclidean space is first established.
Becket, Anne
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