TERMIUM Plus^®

Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 CONT

In the real world there are, of course, no ordered fractals. Structures such as coastlines, trees, rivers, clouds, blood vessels, lightning bolts, paths of particles in Brownian motion and thousands of other fractal-like phenomena are imperfect models that are(within certain upper and lower bounds) fractals in a statistical sense [...] Such fractals are called random fractals or statistical fractals. Coastlines, for instance, have fractal dimensions that change from coast to coast. Investigations show that they fall within a range of 1. 15 to 1. 25, the second number measuring the complexity of the west coast of England.  1, record 1, English, - random%20fractal

Record 1,  Textual support,  French

Record 1,  Textual support,  Spanish

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 CONT

Mandelbrot highlights the fractal nature of turbulence by pointing out that in the real world it comes in gusts; it is intermittent.  1, record 2, English, - gust

Record 2,  Textual support,  French

Record number: 2, Textual support number: 1 DEF

Perturbation isolée due à une tension de surface.  2, record 2, French, - bouff%C3%A9e

Record number: 2, Textual support number: 1 PHR

La bouffée détruit la périodicité, disparaît, dure, naît.  2, record 2, French, - bouff%C3%A9e

Record number: 2, Textual support number: 2 PHR

bouffées intermittentes de turbulence, bouffée successive.  2, record 2, French, - bouff%C3%A9e

Record number: 2, Textual support number: 3 PHR

bouffée d'action, de liquide, d'excentricité.  2, record 2, French, - bouff%C3%A9e

Record 2,  Textual support,  Spanish

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 CONT

Fractal Image Compression is about the mathematical ideas that lie behind the photographs and other pictures on Encarta. They are all fractals! They are stored as highly compressed data files produced using fractal image compression. Fractal image compression involves three basic mathematical modeling problems. The required models are [:] a mathematical model for real world image, a model for approximating model images by means of resolution independent image approximants, which must be described by finite data strings, and a computationally tractable model for the sources of the data strings, to enable the application of information theory to provide efficient representation of the image approximants.  2, record 3, English, - fractal%20image%20compression

Record 3,  Textual support,  French

Record number: 3, Textual support number: 1 DEF

Suppression automatique de tous les octets superflus dans une image numérisée, à l'aide d'algorithmes fractals qui combinent la théorie de l'information et la perception visuelle pour décrire des formes compliquées au moyen de formules très simples. Le stockage de ces formules permet la reconstruction par itération des images de départ.  1, record 3, French, - compression%20fractale%20d%27images

Record number: 3, Textual support number: 1 OBS

Les images codées en formules fractales ont un taux de compression de 70:1 et sont reconstruites sans aucune détérioration. Or, au-delà d'un taux de l0:1, les techniques habituelles risquent fort de nuire à la reconstruction de l'image. Technique déjà appliquée avec succès à la compression d'images sismiques en utilisant un algorithme fractal inspiré de la courbe de Peano. Voir les travaux récents de M. Barnsley.  1, record 3, French, - compression%20fractale%20d%27images

Record number: 3, Textual support number: 1 PHR

compression fractale automatique, manuelle.  1, record 3, French, - compression%20fractale%20d%27images

Record number: 3, Textual support number: 2 PHR

compression fractale à échelle de gris.  1, record 3, French, - compression%20fractale%20d%27images

Record 3,  Textual support,  Spanish

Record 4,  Textual support,  French

Record 4,  Textual support,  Spanish

Record 5,  Textual support,  English

Record number: 5, Textual support number: 1 CONT

Nottale proposes an extension of the principle of relativity upon which the setting of a spatio-temporal theory of microphysics could be founded. He shows that some of the main properties of the quantum world, i. e. the Heisenberg uncertainty relations, may be deduced from the geometric structures of a new space-time whose metrics would depend on spatio-temporal resolutions. The theory may be worked out due to the introduction of a new mathematical tool, the fractal derivative, which allows one to connect the concepts of presence probability and metric potentials.  1, record 5, English, - fractal%20derivative

Record 5,  Textual support,  French

Record number: 5, Textual support number: 1 OBS

Tiré du résumé de l'article de Nottale L., sur le temps de la microphysique, publié dans les Comptes rendus de l'Académie des sciences, Série 2, 1988, vol. 306, no. 5, p. 341-346.  1, record 5, French, - d%C3%A9riv%C3%A9e%20fractale

Record 5,  Textual support,  Spanish