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Fractal Sturm–Liouville Theory
This paper provides a short summary of fractal calculus and its application to generalized Sturm–Liouville theory. It presents both the fractal homogeneous and non-homogeneous Sturm–Liouville problems and explores the theory’s applications in optics. We include examples and graphs to illustrate the effect of fractal support on the solutions and propose
Alireza Khalili Golmankhaneh +3 more
openaire +2 more sources
BIVARIATE FRACTAL INTERPOLATION SURFACES: THEORY AND APPLICATIONS
We consider the theory and applications of bivariate fractal interpolation surfaces constructed as attractors of iterated function systems. Specifically, such kind of surfaces constructed on rectangular domains have been used to demonstrate their efficiency in computer graphics and image processing.
Drakopoulos, V., Manousopoulos, P.
openaire +3 more sources
ABSTRACT Three categories of explanations exist for why we age: mechanistic theories, which omit reference to evolutionary forces; weakening force of selection theories, which posit that barriers exist that prevent evolutionary forces from optimising fitness in ageing; and optimisation theories, which posit that evolutionary forces actually select for ...
Michael S. Ringel
wiley +1 more source
Early evolutionary history of the seed
ABSTRACT The seed is an essential stage in the life history of gymnospermous and angiospermous plants, facilitating both their survival and dispersal. We reappraise knowledge of the evolutionary history of the gymnospermous seed, from its origin in the late Devonian through to the well‐known end‐Permian extinctions – an interval encompassing the ...
Richard M. Bateman +2 more
wiley +1 more source
FRACTAL GEOMETRY IN AGRICULTURAL CASH PRICE DYNAMICS [PDF]
Agricultural prices are determined by natural and socio-economic factors that are known to be self-similar at different time scales and to follow non-periodic cyclical patterns.
Frechette, Darren L., Jin, Hyun Joung
core +1 more source
Spatial metrics in fire ecology: seeking consistency amidst complexity
ABSTRACT Technological advances, including remote sensing, have led to a proliferation of metrics used in ecological studies to examine spatial patterns of fire regimes and their ecological effects. Researchers can use many different metrics to analyse spatial variation in both fire events and resulting fire regimes, including fire size, shape ...
Alexander R. Carey +5 more
wiley +1 more source
An Eco‐Social Lens on Voice for Undervoiced and Unvoiced Stakeholders
ABSTRACT This conceptual paper argues it is important from an ecological–social (eco‐social) whole system point of view for businesses and policymakers to take the interests of and impacts on unvoiced and undervoiced [un(der)voiced] stakeholders into consideration for both strategic and justice reasons.
Sandra Waddock
wiley +1 more source
Towards Electronic Materials Fractal Theory [PDF]
Starting in the last two decades of 20th Century, fractal geometry and underlying analysis became a part of material sciences. From ore distribution in Earth layers to nanotechnology, from biomedical to energy applications, fractal descriptors of physicochemical properties of matter are inevitable part of scientific research and presentations.
Ljubiša M. Kocić +2 more
openaire +1 more source
ABSTRACT Fractal geometry describes complex, self‐similar patterns that repeat across spatial scales and is increasingly recognized as relevant in anatomical research. Indeed, the fractal organization is consistently observed in respiratory, cardiovascular, gastrointestinal, nervous, renal, hepatic, and dermatological systems.
Immacolata Belviso +7 more
wiley +1 more source
Oxide Interface of Gallium‐Based Liquid Metals: Beneficial Bridge or Hidden Risk?
Discussion on oxide interfaces in gallium‐based liquid metals have concentrated on their properties, behaviors, and related applications. However, the molecular mechanisms underlying effects, as well as the differences between the presence and absence of the oxide layer, have been less thoroughly discussed.
Yi Fan, Shuai Wang, Xu Hou
wiley +1 more source

