Results 101 to 110 of about 290,972 (299)
A Smooth Curve as a Fractal Under the Third Definition
, 2018 It is commonly believed in the literature that smooth curves, such as circles, are not fractal, and only non-smooth curves, such as coastlines, are fractal.
Jiang, Bin, Ma, Ding
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Advanced Intelligent Discovery, EarlyView.CrossMatAgent is a multi‐agent framework that combines large language models and diffusion‐based generative AI to automate metamaterial design. By coordinating task‐specific agents—such as describer, architect, and builder—it transforms user‐provided image prompts into high‐fidelity, printable lattice patterns.
Jie Tian +12 more
wiley +1 more source
, 2012 We investigate from the fractal viewpoint the way in which the dark matter is grouped at z = 0 in the Millennium dark matter cosmological simulation. The determination of the cross to homogeneity in the Millennium Simulation data is described from the ...
Bagla +33 more
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Journal of Mathematical Analysis and Applications, 1990 A compact metric space X with the family F of functions \(f_ i: X\to X,\quad 1\leq i\leq N,\) is said to be an iterated function system (X,F). The family H(X) of closed subsets of X is assumed to be equipped with the Hausdorff metric. Provided the maps \(f_ i\), \(1\leq i\leq N\), are contractive, the set-valued map \(\hat f:\;H(X)\to H(X),\) defined ...
openaire +1 more source
Evolution of Physical Intelligence Across Scales
Advanced Intelligent Discovery, EarlyView.By following the evolution of physical intelligence across scales, this article shows how intelligence arises from materials, structures, physical interactions, and collectives. It establishes physical intelligence as the evolutionary foundation upon which embodied intelligence is built.
Ke Liu +7 more
wiley +1 more source
Minkowski dimension and explicit tube formulas for $p$-adic fractal strings
, 2018 The local theory of complex dimensions describes the oscillations in the geometry (spectra and dynamics) of fractal strings. Such geometric oscillations can be seen most clearly in the explicit volume formula for the tubular neighborhoods of a $p$-adic ...
Hùng, Lũ' +2 more
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Controlling Dynamical Systems Into Unseen Target States Using Machine Learning
Advanced Intelligent Systems, EarlyView.Parameter‐aware next‐generation reservoir computing enables efficient, data‐driven control of dynamical systems across unseen target states and nonstationary transitions. The approach suppresses transient behavior while navigating system collapse scenarios with minimal training data—over an order of magnitude less than traditional methods.
Daniel Köglmayr +2 more
wiley +1 more source
Stochastic Weighted Fractal Networks [PDF]
, 2010 In this paper we introduce new models of complex weighted networks sharing several properties with fractal sets: the deterministic non-homogeneous weighted fractal networks and the stochastic weighted fractal networks.
Carletti, Timoteo
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A box-covering algorithm for fractal scaling in scale-free networks
, 2007 A random sequential box-covering algorithm recently introduced to measure the fractal dimension in scale-free networks is investigated. The algorithm contains Monte Carlo sequential steps of choosing the position of the center of each box, and thereby ...
B. Kahng +5 more
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