Results 41 to 50 of about 69,620 (237)

Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets

, 2013
We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.Comment: 19 ...
Pedersen, Steen, Phillips, Jason D.
core   +1 more source

On the Visibility of Homogeneous Cantor Sets

Fractal and Fractional
The problems associated with the visible set have been explored by various scholars. In this paper, we investigate the Hausdorff dimension and the topological properties of the visible set in relation to the products of homogeneous Cantor sets.
Yi Cai, Yufei Chen
doaj   +1 more source

Dimensions of subsets of cantor-type sets

International Journal of Mathematics and Mathematical Sciences, 2006
We define the Cantor-type set E first, and then the Besicovitch subset Bp of E. We mainly show the dimensions of subsets of Cantor-type set E in compatible case and incompatible case.
Fang-Xiong Zhen
doaj   +1 more source

Assouad Dimensions and Lower Dimensions of Some Moran Sets

Journal of Mathematics, 2020
We prove that the low dimensions of a class of Moran sets coincide with their Hausdorff dimensions and obtain a formula for the lower dimensions.
JiaQing Xiao
doaj   +1 more source

Applying Set Theory

Axioms, 2021
We prove some results in set theory as applied to general topology and model theory. In particular, we study ℵ1-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor ...
Saharon Shelah
doaj   +1 more source

Thermodynamic Pathways of Nonequilibrium Solidification in Wire‐Arc Additive Manufacturing Fe‐Based Multicomponent Alloy Structures

Advanced Engineering Materials, EarlyView.
Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios, Anthony Gonzalez, Aleksander Aleman, Tyler Dolmetsch, Tanaji Paul, Arvind Agarwal   +5 more
wiley   +1 more source

Microfluidic Platform for Multiparametric Profiling of Fibrin Permeability, Fibrinolysis, and Cell Invasion

Advanced Functional Materials, EarlyView.
This paper introduces a single‐channel H‐junction microfluidic assay that profiles fibrin's evolving function in repair and thrombosis by measuring, in one ∼3 µL gel, permeability, fibrinolysis kinetics, fibroblast invasion, and clot extension in real time.
Halston Deal, Elizabeth M. Byrnes, Sanika Pandit, Halle J. Cantor, Muskan Aslam, Stacy Ban, Megan Palmisano, Rosemary Bayless, Ashley C. Brown, Michael Daniele   +9 more
wiley   +1 more source

ON SUMS OF SEMIBOUNDED CANTOR SETS

Rocky Mountain Journal of Mathematics, 2023
18 ...
Fillman, Jake, Tidwell, Sara H.
openaire   +3 more sources

A numerical study of infinitely renormalizable area-preserving maps

, 2011
It has been shown in (Gaidashev et al, 2010) and (Gaidashev et al, 2011) that infinitely renormalizable area-preserving maps admit invariant Cantor sets with a maximal Lyapunov exponent equal to zero.
Bountis T, Christiansen F, Collet P, Collet P, Denis Gaidashev, Derrida B, Eckmann J-P, Gaidashev D, Helleman RHG, Lyubich M, Tomas Johnson, Tresser C   +11 more
core   +1 more source

Pulsed Laser‐Assisted Phase Engineering of Multimetallic Colloidal Nanocrystals With Complex Compositions

Advanced Materials, EarlyView.
The engineering of colloidal nanocrystals with complex compositions has emerged as a highly active area of research within nanomaterials science. This review covers key aspects of colloidal solid‐solution nanocrystal formation using pulsed laser irradiation.
Marina T. Candela, Sergio Triviño‐Sánchez, Andrés Guerrero‐Martínez, Luis M. Liz‐Marzán, Guillermo González‐Rubio   +4 more
wiley   +1 more source