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Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 CONT

An attractor's "strangeness" involves nonstandard topological properties, with nonstandard fractal properties coming along as an "overhead". A closed curve without double points is not "strange" in this sense, however crumpled it may be; hence, many fractal attractors I examined are not strange.  2, record 1, English, - fractal%20attractor

Record 1,  Textual support,  French

Record number: 1, Textual support number: 1 DEF

Attracteur produit par l'itération de fonctions non linéaires, dont la structure géométrique est irrégulière, fractale.  2, record 1, French, - attracteur%20fractal

Record number: 1, Textual support number: 1 CONT

Schématiquement, l'attracteur simple, c'est le déterminisme, généralement modélisable par des équations différentielles, il est illustré par la dynamique de la gravitation universelle de Newton. L'attracteur fractal (ou étrange) c'est le "chaos fractal", illustré par les phénomènes de la thermodynamique loin de l'équilibre.  3, record 1, French, - attracteur%20fractal

Record 1,  Textual support,  Spanish

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 CONT

To ensure that the limit fractal remains interpretable in terms of coastlines, the generator includes a connected broken line of N_c<N links, joining the end points of the interval(0, 1). This portion will be called the coastline generator, because it determines how an initially straight coastline becomes transformed into a fractal coastline. The remaining N-N_c links form a closed loop that "seeds" new islands and will be called island generator.  1, record 2, English, - island%20generator

Record 2,  Textual support,  French

Record 2,  Textual support,  Spanish

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 CONT

In each case, some areas of less immediate interest were artificially emptied to make it possible to use closed fractals, but eventually these areas must be filled. Luckily, this last task may in many cases be performed using open fractals, such as, for example, the above-mentioned randomized form of the Besicovitch set.  1, record 3, English, - closed%20fractal

Record 3,  Textual support,  French

Record 3,  Textual support,  Spanish

Record 4,  Textual support,  English

Record number: 4, Textual support number: 1 CONT

the use of closed fractals implies that, between the regions where copper can be mined, the concentration of copper vanishes. In fact, it is very small in most places, but cannot be assumed to vanish anywhere. In each case, some areas of less immediate interest were artificially emptied to make it possible to use closed fractal sets, but eventually these areas must be filled. This can be done using a fresh hybrid, nonlacunar fractals.  1, record 4, English, - nonlacunar%20fractal

Record 4,  Textual support,  French

Record number: 4, Textual support number: 1 OBS

Voir ensemble fractal lacunaire.  1, record 4, French, - fractale%20non%20lacunaire

Record 4,  Textual support,  Spanish