Results 41 to 50 of about 5,343,237 (227)
AIP Advances, 2021 A self-developed gas explosion experimental system was used to detonate methane/air mixtures of different concentrations by different ignition methods, and the propagation processes of spherical flames and irregular flames formed by the explosions were ...
Haiyan Wang +5 more
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Non-linear Fractal Interpolating Functions
, 2001 7 pages, 2 figures, uses ...
Kobes, R., Letkeman, H.
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The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields
Discrete Dynamics in Nature and Society, 2014 A fractal interpolation function on a p-series local field Kp is defined, and its p-type smoothness is shown by virtue of the equivalent relationship between the Hölder type space CσKp and the Lipschitz class Lipσ,Kp. The orders of the p-type derivatives
Jing Li, Weiyi Su
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On the Fractal interpolation functions associated with Matkowski contractions
Electronic Research Archive, 2023 <abstract><p>In this paper we investigate an iterated function system that defines a fractal interpolation function, where ordinate scaling, that is Lipschitz constant in Banach contraction principle is substituted by real-valued control function.
Najmeddine Attia +3 more
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CUBIC SPLINE SUPER FRACTAL INTERPOLATION FUNCTIONS [PDF]
Fractals, 2014 In the present work, the notion of Cubic Spline Super Fractal Interpolation Function (SFIF) is introduced to simulate an object that depicts one structure embedded into another and its approximation properties are investigated. It is shown that, for an equidistant partition points of [x0, xN], the interpolating Cubic Spline SFIF[Formula: see text] and
Kapoor, G. P., Prasad, Srijanani Anurag
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Fractal Curves on Banach Algebras
Fractal and Fractional, 2022 Most of the fractal functions studied so far run through numerical values. Usually they are supported on sets of real numbers or in a complex field. This paper is devoted to the construction of fractal curves with values in abstract settings such as ...
María A. Navascués
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Fractal Dimension for a Class of Complex-Valued Fractal Interpolation Functions
, 2023 There are many research papers dealing with fractal dimension of real-valued fractal functions in the recent literature. The main focus of the present paper is to study fractal dimension of complex-valued functions. This paper also highlights the difference between dimensional results of the complex-valued and real-valued fractal functions.
Verma, Manuj +2 more
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Power Load Prediction Based on Fractal Theory
Advances in Mathematical Physics, 2015 The basic theories of load forecasting on the power system are summarized. Fractal theory, which is a new algorithm applied to load forecasting, is introduced.
Liang Jian-Kai +2 more
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Historical Foundation and Practical Guideline for Ferroelectric Switching Kinetic Studies
Advanced Functional Materials, EarlyView.The P and U pulses in the conventional PUND measurements are not identical because of the interplay between switching current and the measurement circuit components. This circuit effect can lead to a shift in polarization transients and misinterpreted physics in the switching kinetics.
Yi Liang, Pat Kezer, John T. Heron
wiley +1 more source
Fractal Interpolation over Nonlinear Partitions
, 2022 This paper introduces the fractal interpolation problem defined over domains with a nonlinear partition. This setting generalizes known methodologies regarding fractal functions and provides a new holistic approach to fractal interpolation.
Massopust, Peter R., Peter R. Massopust
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