Results 71 to 80 of about 6,885,149 (320)

New Approach to Fractal Approximation of Vector-Functions

Abstract and Applied Analysis, 2015
This paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions.
Konstantin Igudesman, Marsel Davletbaev, Gleb Shabernev   +2 more
doaj   +1 more source

Anomalous diffusion on a fractal mesh

, 2016
An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch of backbones and side branch of fingers.
Iomin, Alexander, Kantz, Holger, Sandev, Trifce   +2 more
core   +1 more source

Ductility Tuning via Cluster Network Characteristics of Porous Components

Advanced Materials Technologies, EarlyView.
Network optimization via cluster characteristics induced by interaction of stress concentration is proposed, demonstrating increased cluster size and dispersion in non‐uniform porous components. The optimized structures exhibit, for the first time, that enhanced ductility and damage progression is controllable through zigzag cluster network designed by
Ryota Toyoba, Yuichi Otsuka, Ian J Davies, Naritoshi Aoyagi, Yukio Miyashita   +4 more
wiley   +1 more source

Approximations of fractal sets

Journal of Computational and Applied Mathematics, 1990
Five algorithms are presented for the approximation of fractal sets. The first three were proposed by Williams, Hutchison and Barnsley Demko. The latter two by the authors, one of which is a graphics algorithm. Error estimates are made for all the algorithms and numerical comparisons are done using classical examples of attractors in the plane.
Dubuc, Serge, Elqortobi, Abdelkader
openaire   +2 more sources

Smart Closed‐Loop Systems in Personalized Healthcare: Advances and Outlook

Advanced Materials Technologies, EarlyView.
A smart closed‐loop e‐textile integrates multimodal sensing, onboard processing, wireless communication, and wearable power to enable real‐time physiological/biochemical monitoring and feedback‐controlled therapy. ABSTRACT Smart textiles represent a revolutionary frontier in healthcare, seamlessly blending fabric and advanced technologies to create ...
Safoora Khosravi, Sang Won Lee, Mohammad Abrar Uddin, Sina Hassanpoor, Neha Suvindran, Katherine Le, Harun Arkaz, Harishkumar Narayana, Saeid Soltanian, Danial Khorsandi, Negar Hosseinzadeh Kouchehbaghi, Taeil Kim, Yangzhi Zhu   +12 more
wiley   +1 more source

Deterministic fractals: extracting additional information from small-angle scattering data

, 2011
The small-angle scattering curves of deterministic mass fractals are studied and analyzed in the momentum space. In the fractal region, the curve I(q)q^D is found to be log-periodic with a good accuracy, and the period is equal to the scaling factor of ...
Anitas, E. M., Cherny, A. Yu., Kuklin, A. I., Osipov, V. A.   +3 more
core   +1 more source

Perimeter on fractal sets

Manuscripta Mathematica, 1991
The authors remark that the Calculus of Variations and Geometric Measure Theory does not seem to have an easy extension to fractal problems. Their aim is to give a contribution to the problem defining lower semicontinuous functionals. They consider the following special case: Let \(V_ 0\) be an equilateral triangle of side length 1 with center in 0 ...
D'Ancona, Piero, Braides, Andrea
openaire   +2 more sources

Temporal and Cell‐Specific Regulation of Synaptic Homeostasis by the Chromatin Remodeler Chd1

Advanced Science, EarlyView.
Chd1, the Drosophila homologue of mammalian CHD2 ‐ a gene linked to autism, epilepsy, and intellectual disability, is required for synaptic homeostatic plasticity. Chd1 in glia is necessary for the rapid induction of synaptic homeostasis, whereas Chd1 in motoneurons, muscle, and glia is critical for long‐term maintenance.
Danielle T. Morency, Tao Cui, Yimei Cai, Chloe Lok, Rachel E. Nokku, Ruoxian Huang, Grace L. Chu, Yumeng Xie, Saleem W. Abu‐Tayeh, Kaikai He, Chengjie Qiu, Junyi Wang, Paxton M. Paganelli, Ting Wang, Gabrielle Williams, Sreejith Nair, Huadong Pei, Dion K. Dickman, Stefano Vicini, Tingting Wang   +19 more
wiley   +1 more source

Fractal Dimension of a Random Invariant Set and Applications

Journal of Applied Mathematics, 2013
We prove an abstract result on random invariant sets of finite fractal dimension. Then this result is applied to a stochastic semilinear degenerate parabolic equation and an upper bound is obtained for the random attractors of fractal dimension.
Gang Wang, Yanbin Tang
doaj   +1 more source

Time‐Resolved SAXS Reveals Distinct Millisecond Metal‐Induced Conformational Dynamics of Monomeric α‐Synuclein

Advanced Science, EarlyView.
Time‐resolved SAXS reveals how physiologically relevant metal ions shape the earliest conformational responses of monomeric α‐synuclein. Fe3+ induces rapid compaction, Cu2+ generates heterogeneous and partially folded ensembles, while Mn2+ and Zn2+ cause only modest changes.
Rebecca Sternke‐Hoffmann, Miriam Dos Santos Pinto, Xue Wang, Jinghui Luo   +3 more
wiley   +1 more source