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Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 PHR

the lattice is said to percolate  2, record 1, English, - lattice

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antiferromagnetic lattice, atomic lattice, crystal lattice, dimensional lattice, ferromagnetic lattice, five-dimensional lattice, fractal lattice, hierarchical lattice, hypercubic lattice, infinite lattice, quasiperiodic lattice, self-similar fractal lattice, square lattice, triangular lattice  2, record 1, English, - lattice

Record 1,  Textual support,  French

Record number: 1, Textual support number: 1 DEF

Dans un logiciel fractal, quadrillage dont chaque carreau est un élément d'image ou pixel, sur lequel on indique les coordonnées et les valeurs des variables de l'ensemble fractal à générer par itération.  1, record 1, French, - grille

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grille bidimensionnelle, grille carrée, grille cubique, grille hexagonale, grille hiérarchique, grille hypercubique, grille inverse, grille primitive, grille régulière  1, record 1, French, - grille

Record number: 1, Textual support number: 2 PHR

grille de constantes, grille de permutation, grille de points, grille de transition, grille d'incidence  1, record 1, French, - grille

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nœud de brille, sommet de grille  1, record 1, French, - grille

Record 1,  Textual support,  Spanish

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 DEF

Pertaining to a geometrical shape whose structure is such, that magnification of the detail by a given factor reproduces the original object.  2, record 2, English, - fractal

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fractal algorithm, fractal art, fractal attractor, fractal boundary, fractal cove, fractal city, fractal concept, fractal curve, fractal definition, fractal dimension, fractal domain, fractal fern, fractal geometry, fractal goose, fractal graphics, fractal growth, fractal heaven, fractal hell, fractal hexagon, fractal image, fractal Julia set, fractal Koch flake, fractal landscape, fractal lattice measure, fractal modeling, fractal monster, fractal motion, fractal noise, fractal number, fractal object, fractal paradox, fractal pattern, fractal self-similarity, fractal stable, fractal structure, fractal surface, fractal time, fractal tree, fractal vision.  2, record 2, English, - fractal

Record 2,  Textual support,  French

Record number: 2, Textual support number: 1 DEF

Relatif aux structures et aux systèmes dynamiques dont les éléments présentent une certaine similarité à l'ensemble quelle que soit l'échelle de l'examen.  3, record 2, French, - fractale

Record number: 2, Textual support number: 1 OBS

S'applique aux changements spatio-temporels tels le bruit électronique dans les semi-conducteurs, les fluctuations de voltage dans les membranes neurales, les crues périodiques des eaux, les variations des indices économiques et du trafic routier, les battements du cœur, etc. Selon B. Mandelbrot, créateur du terme en 1975, le concept n'a pas encore de définition mathématique généralement acceptée. Le terme est dérivé du latin «fractus» qui signifie «fragmenté», «irrégulier». Le masculin pluriel est «fractals», le féminin pluriel, fractales».  3, record 2, French, - fractale

Record number: 2, Textual support number: 1 PHR

aérogel fractal, agrégat fractal, aire fractale, algorithme fractal, analyse fractale, arbre fractal, art fractal, attracteur fractal, autosimilarité fractale, bruit fractal, chaos fractal, codimension fractale, compression d'images fractale, courbe fractale, continent fractal, côte fractale, croissance fractale, débit fractal, densité fractale, diffraction fractale, dimension fractale, distribution fractale, échelle fractale, ensemble fractal, éponge fractale, équation fractale, espace-temps fractal, fonction fractale, figure fractale, flèche du temps fractale, fonction d'interpolation fractale, forme fractale, fromage fractal, front de diffusion fractal, frontière fractale, générateur fractal, génération fractale, géométrie fractale, groupe fractal, hasard fractal, île fractale, image fractale, imagerie fractale, infographie fractale, interface fractale, intermittence du bruit fractale, lac fractal, langage fractal, ligne fractale, masse fractale, mesure fractale, modèle fractal, modélisation fractale, monstre fractal, montagne fractale, motif fractal, musique fractale, nature de la turbulence fractale, nombre fractal, objet fractal, ordinateur fractal, ordre fractal, pavage fractal, paysage fractal, périmètre fractal, plaque fractale, profil fractal, reconnaissance d'image fractale, rythme fractal, segmentation fractale, structure fractale, surface fractale, synthèse fractale, système fractal, tambour fractal, temps fractal, texture fractale, théorie fractale, tortuosité fractale, trajectoire fractale, transformation fractale, transformée fractale, vidéocompression fractale, vision fractale, zone fractale.  3, record 2, French, - fractale

Record 2,  Textual support,  Spanish

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 CONT

The main reason for investigating transport properties on fractal lattices is that solution of many important equations of physics on these lattices adds to our understanding of the geometric and topological properties that are relevant to modelling the corresponding physical process.  1, record 3, English, - fractal%20lattice

Record 3,  Textual support,  French

Record number: 3, Textual support number: 1 CONT

Des réseaux fractals ramifiés de façon finie montrent une diffusion anormale.  1, record 3, French, - r%C3%A9seau%20fractal

Record 3,  Textual support,  Spanish

Record 4,  Textual support,  English

Record number: 4, Textual support number: 1 CONT

Finitely ramified fractal lattices show anomalous diffusion with R/SVP/2 = T/SVP 2H.  1, record 4, English, - ramified%20fractal%20lattice

Record 4,  Textual support,  French

Record 4,  Textual support,  Spanish

Record 5,  Textual support,  English

Record number: 5, Textual support number: 1 DEF

A method for solving the Laplace equation without using an underlying lattice. Applied in simulation techniques involving aggregation of particles and fractal pattern formation. The interfacial pattern is approximated as a piecewise linear with uniform monopole sources. A given interface uniquely determines the source distribution which, in turn, uniquely determines the velocity distribution along the interface. Based on Green's function, an integro-differential equation, and on the Dirac delta function.  1, record 5, English, - boundary%20integral%20method

Record number: 5, Textual support number: 1 CONT

Investigations based on the boundary integral method demonstrate that noise is not a necessary ingredient of an algorithm producing DLA-type patterns since they can be grown using deterministic equations. This result is supported by multifractal analysis. The fractal dimension of off-lattice DLA clusters in the asymptotic limit may be approximately equal to 1. 65.  1, record 5, English, - boundary%20integral%20method

Record 5,  Textual support,  French

Record 5,  Textual support,  Spanish

Record 6,  Textual support,  English

Record number: 6, Textual support number: 1 DEF

The fractal structure obtained by a growth process that starts with a single seed particle placed onto a site of a lattice. Its neighbouring sites are considered live if they may become occupied. Next, one of these live sites is chosen randomly and either filled with a particle or killed for the rest of time. The filled site becomes part of the growing cluster and its new neighbours become living sites. A cluster is grown by repeating the same procedure many times.  3, record 6, English, - branching%20fractal

Record number: 6, Textual support number: 1 OBS

See tip splitting.  4, record 6, English, - branching%20fractal

Record 6,  Textual support,  French

Record number: 6, Textual support number: 1 DEF

Arborisation symétrique ou asymétrique produite par une courbe irrégulière à l'aide de branches et d'embranchements.  2, record 6, French, - arbre%20fractal

Record number: 6, Textual support number: 1 CONT

Lefèvre (1983) et ses collaborateurs ont proposé un remarquable modèle du lit vasculaire pulmonaire, basé sur des arbres fractals et une fonction de coût. Des arborisations symétriques et asymétriques ont été explorées. Les auteurs définissent des arbres «consistants» à partir de Fredberg et Honing (1978). L'arbre consistant asymétrique le plus simple correspond à un arbre Fibonaccien.  3, record 6, French, - arbre%20fractal

Record number: 6, Textual support number: 1 OBS

Les courbes irrégulières de von Koch-Mandelbrot prennent des formes telles le corail et la forêt. Les courbes hyperboliques produisent des formes appelées «sapin hyperbolique» et «Tour Eiffel russe». Quant aux «arbres hiérarchiques» ou de classement, les plus simples servent à la modélisation de phénomènes tels la distribution des revenus salariaux, tandis que les plus complexes - tels les «arbres lexicographiques» de Zipf-Mandelbrot sur la distribution des fréquences des mots - illustrent des phénomènes plus abstraits.  2, record 6, French, - arbre%20fractal

Record number: 6, Textual support number: 1 PHR

arbre fractal aléatoire, asymétrique, consistant, hiérarchique, lexicographique, symétrique.  2, record 6, French, - arbre%20fractal

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arbre fractal de Hubbard, de Mandelbrot, de Pythagore.  2, record 6, French, - arbre%20fractal

Record 6,  Textual support,  Spanish

Record 7,  Textual support,  English

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A lattice site with a particle assigned to it is called occupied or filled.  2, record 7, English, - filled%20site

Record number: 7, Textual support number: 1 CONT

We shall frequently use the terminology "particle" for a lattice site which belongs to the fractal(is filled).  2, record 7, English, - filled%20site

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:The opposite of a filled site an empty site.  3, record 7, English, - filled%20site

Record 7,  Textual support,  French

Record number: 7, Textual support number: 1 DEF

Site qui contient une particule.  2, record 7, French, - site%20occup%C3%A9

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Le contraire est "site vide".  4, record 7, French, - site%20occup%C3%A9

Record 7,  Textual support,  Spanish

Record 8,  Textual support,  English

Record number: 8, Textual support number: 1 CONT

The fractal Einstein relation is also easily verified for the "diamond" fractal lattice in A. N. Berker and S. Ostlund, J. Physic C12, 4951(1979).  1, record 8, English, - fractal%20Einstein%20relation

Record 8,  Textual support,  French

Record 8,  Textual support,  Spanish

Record 9,  Textual support,  English

Record number: 9, Textual support number: 1 CONT

Given a set S, the indicator function J(x) is classically defined as being such that J(x)=1 when x S, and J(x)=0 when X S. When S is a Cantor set, a Sierpinski lattice(gasket or carpet), a fractal net, or any one of several other classes of fractals, J(x) is inconvenient. I often find it more convenient to replace J(x) by a different function C(x), which I introduced and now propose to call coindicator.  1, record 9, English, - coindicator%20function

Record number: 9, Textual support number: 1 OBS

Neologism created in 1983 by the author of this text.  2, record 9, English, - coindicator%20function

Record 9,  Textual support,  French

Record number: 9, Textual support number: 1 OBS

Néologisme proposé par analogie à "indicateur", "connecteur", "opérateur".  1, record 9, French, - co%C3%AFndicateur

Record 9,  Textual support,  Spanish

Record 10,  Textual support,  English

Record number: 10, Textual support number: 1 CONT

We model an order n fractal lattice with a universal graph having a vertex for each gate of order n and identical physical properties. Linear equations are solved to yield recursively effective parameters for the equivalent universal graph.  1, record 10, English, - universal%20graph

Record 10,  Textual support,  French

Record number: 10, Textual support number: 1 OBS

Terme employé par Claude Berge dans son livre "Graphes et hypergraphes".  1, record 10, French, - graphe%20universel

Record 10,  Textual support,  Spanish