Results 181 to 190 of about 1,596 (215)
Some of the next articles are maybe not open access.
Behavioral and Brain Sciences, 2004
Abstract There are two sorts of scientists: Dionysians, who rely on intuition, and Apollonians, who are more systematic. Self-experimentation is a Dionysian approach that is likely to open new lines of research. Unfortunately, the Dionysian approach does not allow one to predict the results of experiments. That is one reason why self-experimentation
openaire +2 more sources
Abstract There are two sorts of scientists: Dionysians, who rely on intuition, and Apollonians, who are more systematic. Self-experimentation is a Dionysian approach that is likely to open new lines of research. Unfortunately, the Dionysian approach does not allow one to predict the results of experiments. That is one reason why self-experimentation
openaire +2 more sources
Conformality of the Apollonian Metric
Computational Methods and Function Theory, 2004Let \(D\) be a domain in \(\overline{\mathbb{R}^n}=\mathbb{R}^n\cup \{\infty\},\;n\geq 2\), and let \(x,y\in D\). The Apollonian distance of \(x,y\) is defined by \[ \alpha(x,y):=\max_{w,z\in\partial D}\log \frac{| x-w| \;| y-z| }{| x-z| \;| y-w| }. \] The author introduces the quantity \[ H_D(x):=\frac{\limsup_{y\to x}(\alpha(y,x)/\chi(y,x))}{\liminf_{
openaire +1 more source
An introduction to the Apollonian fractal
Computers & Graphics, 2006This paper provides an introduction to the Apollonian fractal, also known by some as the curvilinear Sierpinski gasket. This fractal is not particularly well known, perhaps because it is not as straightforward to construct as many other fractals such as the related Sierpinski gasket or the Menger sponge.
openaire +2 more sources
Ferromagnetic model on the Apollonian packing
Physical Review E, 2017This work investigates the influence of geometrical features of the Apollonian packing (AP) on the behavior of magnetic models. The proposed model differs from previous investigations on the Apollonian network (AN), where the magnetic coupling constants depend only on the properties of the network structure defined by the packing, but not on ...
Rafael S, Oliveira, Roberto F S, Andrade
openaire +2 more sources
THREE-DIMENSIONAL APOLLONIAN NETWORKS
International Journal of Modern Physics C, 2006We discuss the three-dimensional Apollonian network introduced by Andrade et al.1 for the two-dimensional case. These networks are simultaneously scale-free, small world, Euclidean, space-filling and matching graphs and have a wide range of applications going from the description of force chains in polydisperse granular packings to the geometry of ...
Soares, Danyel J. B. +3 more
openaire +2 more sources
The spectral geometry of the apollonian packing
Communications on Pure and Applied Mathematics, 1985In the space \(S^ n\) we consider a finite collection of nonintersecting (n-1)-dimensional spheres. If we pair them in some way, then the action on \(S^ n\) of the group of Möbius transformations generated by these pairings is not discrete, and has a limit set \(\Lambda\). Let us denote by dim(\(\Lambda)\) the Hausdorff dimension of \(\Lambda\). When \(
openaire +2 more sources
2010
Since Friedrich Nietzsche discussed the Apollonian-Dionysian dichotomy in his The Birth of Tragedy, the dichotomy has been extensively applied by philosophers, by theologians, and especially by literary critics to discussions of an essential conflict between two human impulses or ideals symbolized by Apollo and Dionysus in Greek mythology.
openaire +1 more source
Since Friedrich Nietzsche discussed the Apollonian-Dionysian dichotomy in his The Birth of Tragedy, the dichotomy has been extensively applied by philosophers, by theologians, and especially by literary critics to discussions of an essential conflict between two human impulses or ideals symbolized by Apollo and Dionysus in Greek mythology.
openaire +1 more source
2000
Abstract About the historical Socrates it has been said that we know only that we know nothing. While this is, no doubt, an overly pessimistic view, we surely know distressingly little of interest that is not subject to dispute. With a few minor lapses I shall focus, therefore, on Plato’s Socrates, and adopt a somewhat agnostic stance on
openaire +1 more source
Abstract About the historical Socrates it has been said that we know only that we know nothing. While this is, no doubt, an overly pessimistic view, we surely know distressingly little of interest that is not subject to dispute. With a few minor lapses I shall focus, therefore, on Plato’s Socrates, and adopt a somewhat agnostic stance on
openaire +1 more source
Apollonian metric, uniformity and Gromov hyperbolicity
Complex Variables and Elliptic Equations, 2020Yaxiang Li +2 more
exaly