Results 81 to 90 of about 65,125 (273)
Lowness for effective Hausdorff dimension [PDF]
Journal of Mathematical Logic, 2014 We examine the sequences A that are low for dimension, i.e. those for which the effective (Hausdorff) dimension relative to A is the same as the unrelativized effective dimension. Lowness for dimension is a weakening of lowness for randomness, a central notion in effective randomness.
Daniel Turetsky +4 more
openaire +3 more sources
The Laryngoscope, EarlyView.The purpose of this study was to validate and provide an open‐source segmentation algorithm of paranasal sinus CT scans for the otolaryngology research community. This can be used for further AI‐based analysis and radiomic analysis in future research. ABSTRACT Objective Artificial Intelligence (AI) research needs to be clinician led; however, expertise
Rhea Darbari Kaul +12 more
wiley +1 more source
On the dimension of a certain measure in the plane [PDF]
, 2013 We study the Hausdorff dimension of a measure related to a positive weak solution of a certain partial differential equation in a simply connected domain in the plane.
Dedicated John, L. Lewis, Murat Akman
core
The domination theorem for operator classes generated by Orlicz spaces
Mathematische Nachrichten, EarlyView.Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
wiley +1 more source
On the Hausdorff Dimension of Bernoulli Convolutions [PDF]
International Mathematics Research Notices, 2018 Abstract We give an expression for the Garsia entropy of Bernoulli convolutions in terms of products of matrices. This gives an explicit rate of convergence of the Garsia entropy and shows that one can calculate the Hausdorff dimension of the Bernoulli convolution $\nu _{\beta }$ to arbitrary given accuracy whenever $\beta $ is algebraic.
Kempton, Thomas +3 more
openaire +4 more sources
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose This study aims to develop an automated framework for operator‐independent assessment of cardiac ventricular function from highly accelerated images. Methods We introduce a deep learning framework that generates reliable ventricular volumetric parameters and strain measures from fully sampled and retrospectively accelerated MR images ...
Aya Ghoul +7 more
wiley +1 more source
Hausdorff dimension of boundaries of self-affine tiles in R^n [PDF]
, 1997 We present a new method to calculate the Hausdorff dimension of a certain class of fractals: boundaries of self-affine tiles. Among the interesting aspects are that even if the affine contraction underlying the iterated function system is not conjugated ...
Veerman, J. J. P.
core +4 more sources
Hausdorff dimension of limit sets [PDF]
Geometriae Dedicata, 2017 We exhibit a class of Schottky subgroups of $\mathbf{PU}(1,n)$ ($n \geq 2$) which we call well-positioned and show that the Hausdorff dimension of the limit set $ _ $ associated with such a subgroup $ $, with respect to the spherical metric on the boundary of complex hyperbolic $n$-space, is equal to the growth exponent $ _ $.
openaire +4 more sources
Atomic Scale Visualization of Vibrational Modes in Armchair Graphene Nanoribbon
physica status solidi (RRL) – Rapid Research Letters, EarlyView.To visualize the vibrational modes of armchair graphene nanoribbons and verify theories, a functionalized scanning tunneling tip is used to enhance the inelastic tunneling channel over the elastic one. Results show that edge phonons are localized than bulk phonons with little influence from substrate interactions.
Stefan Šćepanović +4 more
wiley +1 more source
Computational aspects of the Hausdorff distance in unbounded dimension
Journal of Computational Geometry, 2014 We study the computational complexity of determining the Hausdorff distance oftwo polytopes given in halfspace- or vertex-presentation in arbitrary dimension.
Stefan König
doaj +1 more source