Results 21 to 30 of about 9,340 (278)
THE CENTERED HAUSDORFF MEASURE OF THE SIERPIŃSKI GASKET
, 2023 We show that the centered Hausdorff measure, Cs(S), with s=log3log2, of the Sierpiński gasket S, is C-computable (continuous-computable), in the sense that its value is the solution of the minimization problem of a continuous function on a compact ...
MARTA LLORENTE +5 more
core +1 more source
The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping
International Journal of Mathematics and Mathematical Sciences, 2002 We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have ...
Hongwen Guo, Dihe Hu
doaj +1 more source
Hausdorff-Distance Enhanced Matching of Scale Invariant Feature Transform Descriptors in Context of Image Querying [PDF]
, 2012 Reliable and effective matching of visual descriptors is a key step for many vision applications, e.g. image retrieval. In this paper, we propose to integrate the Hausdorff distance matching together with our pairing algorithm, in order to obtain a ...
D. Wilson +3 more
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Two Dimensional Yau-Hausdorff Distance with Applications on Comparison of DNA and Protein Sequences. [PDF]
PLoS ONE, 2015 Comparing DNA or protein sequences plays an important role in the functional analysis of genomes. Despite many methods available for sequences comparison, few methods retain the information content of sequences.
Kun Tian +5 more
doaj +1 more source
Positive-measure self-similar sets without interior [PDF]
, 2006 We recall the problem posed by Peres and Solomyak in Problems on self-similar and self-affine sets; an update. Progr. Prob. 46 (2000), 95–106: can one find examples of self-similar sets with positive Lebesgue measure, but with no interior?
Solomyak, B +9 more
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Topics in Cognitive Science, EarlyView., 2023 Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich +1 more
wiley +1 more source
Angewandte Chemie, EarlyView.We report on a suitable approach to predict the chirality “strength” and efficacy of chirality transfer from chiral nanoshape solutes to an achiral discotic nematic (ND) liquid crystal solvent. Highly efficacious chirality transfer based on shape commensurability between nanoshape solute (in the form of gold nanodiscs, GNDs) and a ND solvent was ...
Gourab Acharjee +10 more
wiley +2 more sources
Abduction and Deduction in Dynamical Cognitive Science
Topics in Cognitive Science, EarlyView., 2023 Abstract This paper reviews the recent history of a subset of research in dynamical cognitive science, in particular that subset that allies itself with the sciences of complexity and casts cognitive systems as interaction dominant, noncomputational, and nonmodular. I look at this history in the light of C.S.
Anthony Chemero
wiley +1 more source
Some remarks on the Hausdorff measure of the Cantor set
SHS Web of Conferences, 2016 In this paper, the author further reveals some intrinsic properties of the Cantor set. By the properties, the author gives a new method for calculating the exact value of the Hausdorff measure of the Cantor set, and shows the facts that each covering ...
Wang Minghua
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Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
doaj +1 more source