Results 41 to 50 of about 10,664 (306)

The 100th anniversary of fractal geometry: From Julia and Fatou through Hausdorff and Besicovitch to Mandelbrot [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика, 2020
The purpose of this article is to present the biographies of the main creators of fractal geometry from the moment the first ideas arose, when the term «fractal» did not exist, to the present day.
Vdovina, Galina Mihajlovna, Trubetskov, Dmitriy Ivanovich   +1 more
doaj   +1 more source

Assouad Dimension and Fractal Geometry [PDF]

, 2020
The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book, written by a world expert on the topic, is the first thorough account of the Assouad dimension and its many variants and applications in fractal geometry and beyond.
openaire   +3 more sources

A Comprehensive Review of Additive Manufacturing for Space Applications: Materials, Advances, Challenges, and Future Directions

Advanced Engineering Materials, EarlyView.
Additive manufacturing (AM) transforms space hardware by enabling lightweight, high‐performance, and on‐demand production. This review outlines AM processes—powder bed fusion (PBF), directed energy deposition (DED), binder jetting (BJ), sheet lamination (SL), and material extrusion (ME)—applied to propulsion, satellite structures, and thermal devices ...
Stelios K. Georgantzinos, Eleni Papadopoulou, Grigorios Kostopoulos, Stefanos Voulgaris, Alexandra Tseni, Panteleimon Bakalis, Maria Gkara, Chara C. Mitropoulou, Nikos D. Lagaros   +8 more
wiley   +1 more source

Neutrosophic Soft Sets in One And Two-Dimensions Using Iteration Method [PDF]

Neutrosophic Sets and Systems
This paper introduces a different perspective of Neutrosophic Fractals and Neutrosophic Soft Fractals, merging the principles of Neutrosophic Logic, Soft set theory, and Fractal Geometry to address indeterminacy in complex, self-similar structures ...
M.N.Bharathi , G. Jayalalitha
doaj   +1 more source

Numerical Simulation of the Nonlinear Flow Properties in Self-Affine Aperture-Based Fractures

Advances in Civil Engineering, 2021
In order to study the effect of fracture geometry on the nonlinear flow properties in aperture-based fractures, a fractal model based on the self-affinity is proposed to characterize the three-dimensional geometry of rough-walled fractures.
Xin Zhou, Jianlong Sheng, Ruili Lu, Zuyang Ye, Wang Luo   +4 more
doaj   +1 more source

Influence of the Fractal Geometry on the Mechanical Resistance of Cantilever Beams Designed through Topology Optimization

Applied Sciences, 2021
In this work, the complex geometry of beams obtained from topology optimization is characterized through the fractal dimension (FD). The fractal dimension is employed as an efficiency measure of the mass distribution in the beams, that is, the capacity ...
Pablo Pavón-Domínguez, Guillermo Portillo-García, Alejandro Rincón-Casado, Lucía Rodríguez-Parada   +3 more
doaj   +1 more source

Bioinspired Materials, Designs, and Manufacturing Strategies for Advanced Impact‐Resistant Helmets

Advanced Engineering Materials, EarlyView.
This review explores how bioinspired materials, structures, and manufacturing strategies transform helmet design to achieve enhanced impact resistance. Drawing inspiration from nacre, porcupine quills, beetle exoskeletons, and skull architectures, it highlights advances in auxetic lattices, nanocomposites, and functionally graded foams.
Joseph Schlager, Yi Jin, Mohammad Faruk, Jay Alberts, C. Chase Cao   +4 more
wiley   +1 more source

Fractals: An Eclectic Survey, Part II

Fractal and Fractional, 2022
Fractals are geometric shapes and patterns that can describe the roughness (or irregularity) present in almost every object in nature. Many fractals may repeat their geometry at smaller or larger scales.
Akhlaq Husain, Manikyala Navaneeth Nanda, Movva Sitaram Chowdary, Mohammad Sajid   +3 more
doaj   +1 more source

Wearable Haptic Feedback Interfaces for Augmenting Human Touch

Advanced Functional Materials, EarlyView.
The wearable haptic feedback interfaces enhance user experience in gaming, social media, biomedical instrumentation, and robotics by generating tactile sensations. This review discusses and categorizes current haptic feedback interfaces into force, thermal, and electrotactile stimulation‐based haptic feedback interfaces, elucidating their current ...
Shubham Patel, Zhoulyu Rao, Maggie Yang, Cunjiang Yu   +3 more
wiley   +1 more source

An Empirical Study Investigating the Relationship between Land Prices and Urban Geometry

ISPRS International Journal of Geo-Information, 2019
Land prices are among the most important parameters of urbanization and have been an important subject of urban geography studies for many years. The relationship between urban geography and land prices was examined in the first established models, which
Ismail Ercument Ayazli
doaj   +1 more source