This paper studies the self-similar fractals with overlaps from an algorithmic point of view.A decidable problem is a question such that there is an algorithm to answer"yes"or"no"to the question for every possible input.For a classical class of self-similar sets{E b.d}b,d where E b....
6) random self-similar fractals 随机自相似分形 1. The construction of the random self-similar fractals E(n) and memory functions on E(n) are given. 构造了随机自相似分形及其上的记忆函数,并得出了有关结论,在此基础上,定义一个随机概率测度dΦn(τ)= Kn(τ)dτ,Φn(τ)弱收敛于Φ,进一步...
摘要: We survey the application of contraction mapping arguments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions....
self-similarity (redirected fromSelfsimilar) self-similarity [¦self ‚sim·ə′lar·əd·ē] (mathematics) The property whereby an object or mathematical function preserves its structure when multiplied by a certain scale factor. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Co...
Neunhauserer J - 《Fractals An Interdisciplinary Journal on the Complex Geometry of Nature》 被引量: 0发表: 2008年 A Class of Self-Similar Fractals with Overlap Structure For the contracting similarities S-1(x) = x/3, S-2(x) = (x + lambda)/3, and S-3(x) = (x + 2)/3, wher...
self-similarity. By contrast, no part of a circle is a circle, and thus a circle does not exhibit self-similarity. Fractals such the Sierpinski triangle are self-similar to an arbitrary level of magnification; many natural phenomena, such as clouds and plants, are self-similar to some ...
1993M.A. Martin & P. Mattila, Hausdorff Measures, Holder Continuous Maps and Self-Similar Fractals, Math. Poc. ... MA Martin,P Mattila - 《Mathematical Proceedings of the Cambridge Philosophical Society》 被引量: 14发表: 1993年 The genealogy of self-similar fragmentations with negative index...
DistilBERT, despite having fewer layers, achieved a similar level of final layer similarity, starting from 0.0717 and reaching 1.0. This finding suggests that DistilBERT’s compression technique effectively preserves the semantic convergence property of the full BERT model. The fitted monotonic functions...
5) random self-similar fractals 随机自相似分形 1. The construction of the random self-similar fractals E(n) and memory functions on E(n) are given. 构造了随机自相似分形及其上的记忆函数,并得出了有关结论,在此基础上,定义一个随机概率测度dΦn(τ)= Kn(τ)dτ,Φn(τ)弱收敛于Φ,进一步...
HAUSDORFF MEASURES, HOLDER CONTINUOUS-MAPS AND SELF-SIMILAR FRACTALS MA Martin,P Mattila - 《Mathematical Proceedings of the Cambridge Philosophical Society》 被引量: 10发表: 1993年 Function spaces on fractals We construct function spaces, analogs of Hölder–Zygmund, Besov and Sobolev spaces, on ...