Results 11 to 20 of about 30,840 (264)
Fractal symbolic analysis [PDF]
Proceedings of the 15th international conference on Supercomputing, 2001 Modern compilers restructure programs to improve their efficiency. Dependence analysis is the most widely used technique for proving the correctness of such transformations, but it suffers from the limitation that it considers only the memory locations read and written by a statement without considering what is being computed by that ...
Nikolay Mateev +2 more
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Fractal Analysis of Vasomotion [PDF]
Annals of the New York Academy of Sciences, 1990 Random-like fluctuations have been observed in blood flow in the microvasculature. This we term flow motion, thus distinguishing it from the closely related phenomenon, vasomotion, which refers to fluctuations in vessel diameter. This intermittent perfusion of vascular beds has been observed in skeletal muscle,1 skin,2 mesentery,3 and brain.4 These ...
S M, Yamashiro +4 more
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Drip paintings and fractal analysis [PDF]
Physical Review E, 2009 It has been claimed [1-6] that fractal analysis can be applied to unambiguously characterize works of art such as the drip paintings of Jackson Pollock. This academic issue has become of more general interest following the recent discovery of a cache of disputed Pollock paintings.
Jones-Smith, Katherine +2 more
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Fractals, 2009 The formulation of a new analysis on a zero measure Cantor set C(⊂I = [0,1]) is presented. A non-Archimedean absolute value is introduced in C exploiting the concept of relative infinitesimals and a scale invariant ultrametric valuation of the form log ε-1 (ε/x) for a given scale ε > 0 and infinitesimals 0 < x < ε, x ∈ I\C.
Raut, Santanu, Datta, Dhurjati Prasad
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Fractal Analysis of Mammograms [PDF]
, 2007 In this paper it is shown that there is a difference in local fractal dimension between imaged glandular tissue, supporting tissue and muscle tissue based on an assessment from a mammogram. By estimating the density difference at four different local dimensions (2.06, 2.33, 2.48, 2.70) from 142 mammograms we can define a measure and by using this ...
Fredrik Georgsson +2 more
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Fractal Analysis of Pi Normality [PDF]
Experimental Mathematics, 2017 \begin{abstract} $π$, the ratio between a circumference and is radius, is an irrational transcendental number. Fractal analysis is used here to show that $π$\textquoteright{s} digit sequence corresponds to a uniformly distributed random succession of independent decimal digits, and that these properties get clearer as the number of digits in the series
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Applications of fractal analysis to physiology [PDF]
Journal of Applied Physiology, 1991 This review describes approaches to the analysis of fractal properties of physiological observations. Fractals are useful to describe the natural irregularity of physiological systems because their irregularity is not truly random and can be demonstrated to have spatial or temporal correlation.
R W, Glenny +3 more
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A Fractal Statistical Analysis of Enron Stock Prices
Recoletos Multidisciplinary Research Journal, 2014 This study examined the stock prices of Enron for the periods 1997 to 2002 with the use of fractal statistical analysis. The researchers posited that, since stock prices are products of human decisions, it should follow a fractal distribution.
Kristine June D. Uy +1 more
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Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus
Entropy, 2023 This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman +2 more
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On the Lebesgue measure of one generalised set of subsums of geometric series
Математичні СтудіїIn the present paper, we study a set that can be treated as a generalised set of subsums for a geometric series. This object was discovered independently in various mathematical aspects.
O. P. Makarchuk, D. M. Karvatskyi
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