Results 41 to 50 of about 6,731,484 (300)

Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set

Fractal and Fractional, 2021
We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal function in a complex domain ...
Rabha W. Ibrahim, Dumitru Baleanu
doaj   +1 more source

Conformally Invariant Fractals and Potential Theory [PDF]

Physical Review Letters, 2000
5 pages, 1 ...
openaire   +4 more sources

Counterexamples in theory of fractal dimension for fractal structures [PDF]

Chaos, Solitons & Fractals, 2016
Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties.
M. Fernández-Martínez, Magdalena Nowak, M.A. Sánchez-Granero   +2 more
openaire   +2 more sources

Microstructure Reconstruction in Battery Electrodes Using Machine Learning Based on Low‐Voltage Focused Ion Beam–Scanning Electron Microscopy Tomography Images

Advanced Engineering Materials, EarlyView.
Low‐voltage FIB‐SEM tomography combined with a image preprocessing pipeline improves phase contrast and enables reliable machine‐learning segmentation of conductive networks in lithium‐ion battery electrodes. Structural descriptors are extracted from segmented images, done semimanually and automated, and compared.
Lisa Beran, Vincent Nebel, Dominik Perius, Kshitij Kumar, Yannis Heim, Laura Bies, Tobias Kraus   +6 more
wiley   +1 more source

Advances in the Application of Fractal Theory to Oil and Gas Resource Assessment

Fractal and Fractional
In response to the growing complexity of global exploration targets, traditional Euclidean geometric and linear statistical methods reveal inherent theoretical limitations in characterizing hydrocarbon reservoirs as complex geological bodies that exhibit
Baolei Liu, Xueling Zhang, Cunyou Zou, Lingfeng Zhao, Hong He   +4 more
doaj   +1 more source

Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies

Advanced Functional Materials, EarlyView.
The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley   +1 more source

Fusogenic RNA Nanomodules for Fusion‐Mediated and Multiplexed siRNA Delivery

Advanced Functional Materials, EarlyView.
A fusogenic lipid‐layered RNA nanomodules (L‐CRAMs) enable high‐capacity and long‐lasting siRNA delivery through membrane fusion. These nanomodules carry exceptionally large siRNA payloads, avoid conventional endosomal uptake, and release multiple functional siRNAs through Dicer‐mediated processing.
Sunghyun Moon, Iksoo Jang, Taehyeon Kim, Nayoung Yoon, Kyuha Yum, Jong Bum Lee   +5 more
wiley   +1 more source

Study on micro structure and composition distribution of concrete surface zone based on fractal theory and XCT technology

, 2020
Based on the fractal theory, the fractal dimension model of coarse aggregate gradation in concrete was proposed, and the fractal dimension of coarse aggregate gradation in concrete was calculated based on the measured data.
Peng Liu, Ying Chen, F. Sha, Zhi-wu Yu, Guangqiang Shao   +4 more
semanticscholar   +1 more source

Functionalizing Micro‐to‐Mesoscopic Electrode Architectures for Regulating Electron Transfer Behaviors in Electrocatalysis

Advanced Functional Materials, EarlyView.
A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao, Jiaojiao Zhang, Shideng Yuan, Xinmeng Yu, Keming Wan, Xiaoguang Duan, Zhining Wang   +6 more
wiley   +1 more source

Research on Strength Prediction Model of Sand-like Material Based on Nuclear Magnetic Resonance and Fractal Theory

Applied Sciences, 2020
Micro-pore structure has a decisive effect on the physical and mechanical properties of porous materials. To further improve the composition of rock-like materials, the internal relationship between microscopic characteristics (porosity, pore size ...
Hongwei Deng, Guanglin Tian, Songtao Yu, Zhen Jiang, Z. Zhong, Yanan Zhang   +5 more
semanticscholar   +1 more source