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Higuchi dimension
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(or Higuchi fractal dimension (HFD)) is an approximate value for the box-counting dimension of the graph of a real-valued function or time series. ThisTakens's theorem (1,286 words) [view diff] exact match in snippet view article find links to article
Later results replaced the smooth attractor with a set of arbitrary box counting dimension and the class of generic functions with other classes of functionsCorrelation dimension (655 words) [view diff] no match in snippet view article find links to article
other methods of measuring dimension (e.g. the Hausdorff dimension, the box-counting dimension, and the information dimension) but the correlation dimensionHausdorff dimension (3,086 words) [view diff] no match in snippet view article find links to article
Hausdorff dimension is a successor to the simpler, but usually equivalent, box-counting or Minkowski–Bouligand dimension. The intuitive concept of dimensionUncertainty exponent (297 words) [view diff] no match in snippet view article find links to article
\varepsilon }}} The uncertainty exponent can be shown to approximate the box-counting dimension as follows: D0=N−γ{\displaystyle D_{0}=N-\gamma \,} where NHénon map (1,887 words) [view diff] case mismatch in snippet view article find links to article
25 ± 0.02 (depending on the dimension of the embedding space) and a Box Counting dimension of 1.261 ± 0.003 for the attractor of the classical map. TheIndex of fractal-related articles (144 words) [view diff] no match in snippet view article find links to article
differential equations topics. 1/f noise Apollonian gasket Attractor Box-counting dimension Cantor distribution Cantor dust Cantor function Cantor setVicsek fractal (579 words) [view diff] no match in snippet view article find links to article
Vicsek fractal. Wikimedia Commons has media related to Box fractals. Box-counting dimension Cross crosslet List of fractals by Hausdorff dimension SierpinskiCounting Cars (1,032 words) [view diff] no match in snippet view article find links to article
Counting Cars. Season 1. Episode 5. August 21, 2012. History. "Soap Box". Counting Cars. Season 2. Episode 3. April 16, 2013. History. "Ryan". TwitterList of fractals by Hausdorff dimension (1,139 words) [view diff] exact match in snippet view article find links to article
(1977). The Gosper island is the limit of the Gosper curve. Measured (box counting) 1.2 Dendrite Julia set Julia set of f(z) = z2 + i. 3log(φ)log(3+132){\displaystyleRuss Cochran (publisher) (1,661 words) [view diff] no match in snippet view article
supplemented the 1980-90s The Complete EC Library with a nineteenth slipcase box (counting both versions of the Mad box) of 4 volumes, The Complete Picto-FictionAmerican Music Award for Favorite Pop/Rock Album (603 words) [view diff] case mismatch in snippet view article find links to article
1995 (22nd) Elton John and Tim Rice The Lion King Mariah Carey Music Box Counting Crows August and Everything After 1996 (23rd) Eagles Hell Freezes OverMenger sponge (1,777 words) [view diff] no match in snippet view article find links to article
v t e Fractals Characteristics Fractal dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity IteratedWeierstrass function (2,251 words) [view diff] no match in snippet view article find links to article
Claire (2018), "Bypassing dynamical systems : A simple way to get the box-counting dimension of the graph of the Weierstrass function", Proceedings of theConservative system (1,793 words) [view diff] no match in snippet view article find links to article
diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting dimension Correlation dimension Conservative system Ergodicity FalseFractal string (2,400 words) [view diff] no match in snippet view article find links to article
L{\displaystyle {\mathcal {L}}}. From this information, we can compute the box-counting dimension of the Cantor set. This notion of fractal dimension can beWilliamstown High School (Victoria) (893 words) [view diff] case mismatch in snippet view article
$500,000 promise | Williamstown High School". ""Loose Change" Money Box Counting Day | Williamstown High School". "First 2013 money-box weigh-in | WilliamstownChaos game (1,572 words) [view diff] no match in snippet view article find links to article
v t e Fractals Characteristics Fractal dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity IteratedComplexity (4,254 words) [view diff] no match in snippet view article find links to article
diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting dimension Correlation dimension Conservative system Ergodicity FalseLittlewood conjecture (653 words) [view diff] no match in snippet view article find links to article
dimension zero; and in fact is a union of countably many compact sets of box-counting dimension zero. The result was proved by using a measure classificationDerivative (7,184 words) [view diff] no match in snippet view article find links to article
Claire (2018), "Bypassing dynamical systems: A simple way to get the box-counting dimension of the graph of the Weierstrass function", Proceedings of theCantor function (3,239 words) [view diff] no match in snippet view article find links to article
v t e Fractals Characteristics Fractal dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity IteratedJulia set (5,546 words) [view diff] no match in snippet view article find links to article
v t e Fractals Characteristics Fractal dimensions Assouad Box-counting Higuchi Correlation Hausdorff Packing Topological Recursion Self-similarity IteratedThomae's function (1,679 words) [view diff] no match in snippet view article find links to article
restriction of f{\displaystyle f} to (0,1){\displaystyle (0,1)}, then the box-counting dimension of G{\displaystyle G} is 4/3{\displaystyle 4/3}. EmpiricalScaling pattern of occupancy (1,394 words) [view diff] no match in snippet view article find links to article
SPO: Pa=P0aD/2−1{\displaystyle P_{a}=P_{0}a^{D/2-1}\,} where D is the box-counting fractal dimension. If during each step a quadrat is divided into q sub-quadratsDetrended fluctuation analysis (2,275 words) [view diff] no match in snippet view article find links to article
dimension has, though in certain special cases it is related to the box-counting dimension for the graph of a time series. The standard DFA algorithmChaotic scattering (1,745 words) [view diff] no match in snippet view article find links to article
uncertainty exponent, γ=0.380{\displaystyle \gamma =0.380}, thus the box-counting dimension of the stable manifold is, D0=N−γ=2−0.380=1.62{\displaystyleHenry Cole (illustrator) (2,055 words) [view diff] no match in snippet view article
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