Results 41 to 50 of about 164,071 (341)
Algebraic features of algorithm composition for calculating fractal structure [PDF]
E3S Web of Conferences, 2020 The construction methods analysis of known geometric fractals allows us to reveal algebraic features of fractal algorithms composition. The main concept of the analysis results is fractal operators which are basic operations for constructing fractals of ...
Maikov K.A. +3 more
doaj +1 more source
TUBE FORMULAS FOR GRAPH-DIRECTED FRACTALS
, 2010 Lapidus and Pearse proved recently an interesting formula about the volume of tubular neighborhoods of fractal sprays, including the self-similar fractals. We consider the graph-directed fractals in the sense of graph self-similarity of Mauldin-Williams
Deniz, Ali +7 more
core +1 more source
From Fractal Groups to Fractal Sets [PDF]
, 2003 This paper is a survey, with few proofs, of ideas and notions related to self-similarity of groups, semi-groups and their actions. It attempts to relate these concepts to more familiar ones, such as fractals, self-similar sets, and renormalizable dynamical systems.
Bartholdi, Laurent +2 more
openaire +3 more sources
Structural Properties of Molecular Sierpiński Triangle Fractals
Nanomaterials, 2020 The structure of fractals at nano and micro scales is decisive for their physical properties. Generally, statistically self-similar (random) fractals occur in natural systems, and exactly self-similar (deterministic) fractals are artificially created ...
Eugen Mircea Anitas
doaj +1 more source
Scattering from surface fractals in terms of composing mass fractals [PDF]
, 2015 We argue that a finite iteration of any surface fractal can be composed of mass-fractal iterations of the same fractal dimension. Within this assertion, the scattering amplitude of surface fractal is shown to be a sum of the amplitudes of composing mass ...
A. Cherny +4 more
semanticscholar +1 more source
1998 IEEE International Solid-State Circuits Conference. Digest of Technical Papers, ISSCC. First Edition (Cat. No.98CH36156), 1998 This paper introduces a high-density linear capacitor structure with low bottom-plate parasitics. The density of such a structure improves as process technologies scale. Fractal capacitors retain the linearity of metal-to-metal capacitors with limited degradation of Q.
Hirad Samavati +4 more
openaire +3 more sources
Cyclic Olefin Copolymers as Versatile Materials for Advanced Engineering Applications
Advanced Functional Materials, EarlyView.Cyclic olefin copolymers (COCs) are presented as highly versatile materials combining tunable synthesis, excellent optical properties, and mechanical robustness. Their potential spans microfluidics, bioengineering, and advanced electronics, while emerging self‐healing and sustainable solutions highlight future opportunities.
Giulia Fredi +3 more
wiley +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
Aesthetic Responses to Exact Fractals Driven by Physical Complexity
Frontiers in Human Neuroscience, 2016 Fractals are physically complex due to their repetition of patterns at multiple size scales. Whereas the statistical characteristics of the patterns repeat for fractals found in natural objects, computers can generate patterns that repeat exactly.
Alexander J. Bies +4 more
semanticscholar +1 more source
3D Printing Innovations in Polymeric Porous and Patterned Architecture
Advanced Functional Materials, EarlyView.Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil +13 more
wiley +1 more source