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Mathematical Structures in Computer Science, 2004
We show that a measurement $\mu$ on a continuous dcpo $D$ extends to a measurement $\skew3\bar{\mu}$ on the convex powerdomain ${\mathbf C} D$ iff it is a Lebesgue measurement. In particular, $\ker\mu$ must be metrisable in its relative Scott topology.
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We show that a measurement $\mu$ on a continuous dcpo $D$ extends to a measurement $\skew3\bar{\mu}$ on the convex powerdomain ${\mathbf C} D$ iff it is a Lebesgue measurement. In particular, $\ker\mu$ must be metrisable in its relative Scott topology.
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Preliminary Evidence for a Theory of the Fractal City
Environment and Planning A: Economy and Space, 1996In this paper, we argue that the geometry of urban residential development is fractal. Both the degree to which space is filled and the rate at which it is filled follow scaling laws which imply invariance of function, and self-similarity of urban form across scale.
M Batty, Y Xie
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Fractal theory of Saturn’s ring
Proceedings of the Steklov Institute of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractals in the Quantum Theory of Spacetime
International Journal of Modern Physics A, 1989We review in this paper the first results obtained in an attempt at understanding quantum space-time based on a new extension of the principle of relativity and on the geometrical concept of fractals. We present methods for dealing with the nondifferentiability and the infinities of fractals, as a first step towards the definition and intrinsic ...
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Journal of Organisational Transformation & Social Change, 2014
AbstractTop-down hierarchies are typically characterised by command-and-control systems of authority that often create harmful stress and internal competition for advancement within organisations. The pervading perception is of ‘limited room at the top’, where positions of authority become scarce resources.
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AbstractTop-down hierarchies are typically characterised by command-and-control systems of authority that often create harmful stress and internal competition for advancement within organisations. The pervading perception is of ‘limited room at the top’, where positions of authority become scarce resources.
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A Multiresolution Approximation Theory of Fractal Transform
Fractals, 1997In this paper, we show that the fractal transform (FT) constitutes a multiresolution approximation to the square-integrable space L2(Td) for d≥1, where T is the interval (-∞,∞). This provides a theoretical basis for the successful applications of the fractal transform algorithms in signal/image encoding.
Cheng, Bing, Zhu, Xiaokun
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KNOT THEORY, PARTITION FUNCTION AND FRACTALS
Journal of Knot Theory and Its Ramifications, 1996In this paper we first provide the open chain and the closed chain method to calculate the partition functions of the typical fractal lattices, i.e. a special kind of Sierpinski carpets(SC) and the triangular Sierpinski gaskets(SG). We then apply knot theory to fractal lattices by changing lattice graphs into link diagrams according to the interaction
Ge, Mo-Lin, Hu, Liangzhong, Wang, Yiwen
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Fractal in Modern Science, Fractalization Theory
2023Shahriar Ghammamy +6 more
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AN APPLICATION OF FRACTAL THEORY TO INFORMATION DISPLAY
Fractals, 1993This paper describes a fractal-based method for controlling information display. This method can be applied to information structures which are represented as trees, such as structured programs, UNIX directories, and so on. Its features are: (1) both local details near the focus of attention and major landmarks further away are displayed; (2) the ...
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