Results 51 to 60 of about 232,194 (228)

Parameter Identification of Bivariate Fractal Interpolation Surfaces by Using Convex Hulls

open access: yesMathematics, 2023
The scope of this article is to identify the parameters of bivariate fractal interpolation surfaces by using convex hulls as bounding volumes of appropriately chosen data points so that the resulting fractal (graph of) function provides a closer fit ...
Vasileios Drakopoulos   +3 more
doaj   +1 more source

The calculus of fractal interpolation functions [PDF]

open access: yes, 1989
The calculus of deterministic fractal functions is introduced. Fractal interpolation functions can be explicitly indefinitely integrated any number of times, yielding a hierarchy of successively smoother interpolation functions which generalize splines ...
Barnsley, Michael F   +1 more
core   +1 more source

Generalised Univariable Fractal Interpolation Functions

open access: yes, 2021
We show how to construct a generalised iterated function system whose graph is the attractor, a fractal set, of some continuous function which interpolates a given set of data.
Drakopoulos V., Pak D.Y., Ri S.I.
core   +1 more source

Functionalizing Micro‐to‐Mesoscopic Electrode Architectures for Regulating Electron Transfer Behaviors in Electrocatalysis

open access: yesAdvanced Functional Materials, EarlyView.
A systematic review is conducted to assess the influence of electrode architecture across micro‐ to mesoscopic length scales on electron‐transfer pathways in electrocatalysis. We discuss the structure‐activity relationships in electrocatalytic applications, including resource recovery and environmental remediation, and provide cost‐effective, efficient
Manshu Zhao   +6 more
wiley   +1 more source

Fractal interpolation on the Sierpinski Gasket

open access: yesJournal of Mathematical Analysis and Applications, 2008
The authors start from the fractal interpolation treated by \textit{M. Barnsley} [Fractals everywhere. Revised with the assistance of Hawley Rising III. Answer key by Hawley Rising III. 2nd ed. Boston, MA: Academic Press Professional (1993; Zbl 0784.58002)].
Çelik, Derya   +2 more
openaire   +2 more sources

Fractal Interpolation [PDF]

open access: yes, 2008
This thesis is devoted to a study about Fractals and Fractal Polynomial Interpolation. Fractal Interpolation is a great topic with many interesting applications, some of which are used in everyday lives such as television, camera, and radio.
Ramesh, Gayatri
core  

Data‐Driven Materials Science for Energy‐Sustainable Applications

open access: yesAdvanced Materials, EarlyView.
Data‐driven approaches powered by artificial intelligence are transforming materials discovery for energy sustainability. This review examines how auto‐generated high‐quality materials databases and domain‐specific language models accelerate research in photovoltaics, thermoelectrics, batteries and magnetic materials. Applications involve extraction of
Jacqueline M. Cole
wiley   +1 more source

On bivariate fractal interpolation for countable data and associated nonlinear fractal operator

open access: yesDemonstratio Mathematica
Fractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar   +2 more
doaj   +1 more source

Using fractals and power laws to predict the location of mineral deposits [PDF]

open access: yes, 2001
Around the world the mineral exploration industry is interested in getting that small increase in probability measure on the earth's surface of where the next large undiscovered deposit might be found. In particular WMC Resources Ltd has operations world
Broadgate, M.   +3 more
core  

Wearable Morphology‐Adaptive in‐Ear Device With Active Cleansing Capability for Multimodal Health Monitoring

open access: yesAdvanced Materials, EarlyView.
We present SCIENCE, an in‐ear multimodal physiological monitor featuring two key innovations. Water‐triggered morphological expansion (a 2‐mm cylinder to a 9‐mm spindle) achieves conformal adaptation across complex canal geometries. Simultaneously, active biofouling mitigation disrupts cerumen barriers, reducing sensor‐skin impedance by 20%.
Shuyun Zhuo   +3 more
wiley   +1 more source

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