| David Ross Stoddart - 1997 - 436 lapas
...the most stimulating workers in this field, giving substance to Mandelbrot's (1983: 1) assertion that 'Clouds are not spheres, mountains are not cones, coastlines are not circles.' All these objects exhibit irregular rather than smooth boundaries, and often possess the property of... | |
| Gary William Flake - 2000 - 524 lapas
...besides. Never again will your interpretation of these things be quite the same. — Michael F. Barnsley Clouds are not spheres, mountains are not cones, coastlines...smooth, nor does lightning travel in a straight line. — Benoit Mandelbrot W, HEN SOMEONE TRIES to describe a fractal-like object, one common description... | |
| Marjorie Perloff - 1998 - 396 lapas
...see. "Clouds," as Benoit Mandelbrot remarks in his introduction to The Fractal Geometry of Nature, "are not spheres, mountains are not cones, coastlines...smooth, nor does lightning travel in a straight line. . . . Nature exhibits not simply a higher degree but an altogether different level of complexity. .... | |
| Edward Beltrami - 1999 - 238 lapas
...reason, an exquisite portrayal of life poised between order and disorder. Self-Similarity and Complexity "Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line," asserts Benoit Mandelbrot in his influential and idiosyncratic book on fractal geometry. A fractal... | |
| Eckart Lange - 1999 - 180 lapas
...dieses grundlegende Problem der digitalen Repräsentation natürlicher Phänomene folgendermaßen: 'Clouds are not spheres, mountains are not cones,...and bark is not smooth, nor does lightning travel in astraight line'. Ähnlich äußern sich FOLEY et al. (1990, S. 607): 'A fundamental difficulty in achieving... | |
| Mark C. Taylor - 2010 - 157 lapas
...reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines...are not circles, and bark is not smooth, nor does light travel in a straight line. More generally, I claim that many patterns of Nature are so irregular... | |
| Françoise Mies - 1999 - 774 lapas
...la production de Messiaen ; ce seront Cantéyo« Clouds are not spheres, mountains are not cônes, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight Une » : B. MANDELBRÛT, The fractal gcometry of 'nature, San Francisco, WH FREEMAN, 1982, cité dans... | |
| Brendan Kelly - 2000 - 100 lapas
...One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles .... In 1987, Michael Bamsley patented a technique for identifying a set of transformations which will... | |
| J. Barkley Rosser - 2000 - 330 lapas
...archetypes.' René Thom, 1975 “Catastrophe Theory: Its Present State and Future Perspectives,” p. 382 ‘Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line.' Benoit B. Mandelbrot, 1983 The Fractal Geometry of Nature, p. 1 2.1. GENERAL OVERVIEW Somehow it is... | |
| Michael Frame, Benoit Mandelbrot - 2002 - 232 lapas
...Nature is understood by its roughness, viewed through self-similarity. Recall Mandelbrot's formulation, "Clouds are not spheres, mountains are not cones,...smooth, nor does lightning travel in a straight line." (page 1 of Mandelbrot (1982)) Yet we teach fractals following the Euclidean pattern, mathematical fractals... | |
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