TERMIUM Plus^®

Record 1,  Textual support,  English

Record number: 1, Textual support number: 1 CONT

Two graphs are said to be homeomorphic if both can be obtained from the same graph by subdivisions of edges.  1, record 1, English, - homeomorphic

Record 1,  Textual support,  French

Record number: 1, Textual support number: 1 CONT

Deux graphes sont homéomorphes s'ils peuvent tous les deux être obtenus à partir d'un graphe commun en remplaçant les arêtes par des chaînes simples.  1, record 1, French, - hom%C3%A9omorphe

Record 1,  Textual support,  Spanish

Record 2,  Textual support,  English

Record number: 2, Textual support number: 1 DEF

Said of crystals showing similar forms and habits.  2, record 2, English, - homeomorphic

Record 2,  Textual support,  French

Record number: 2, Textual support number: 1 DEF

Qualifie des éléments cristallins de forme analogue.  2, record 2, French, - hom%C3%A9omorphe

Record 2,  Textual support,  Spanish

Record number: 2, Textual support number: 1 DEF

Dícese de los cuerpos cuyas formas cristalinas son semejantes.  1, record 2, Spanish, - homeomorfo

Record 3,  Textual support,  English

Record number: 3, Textual support number: 1 CONT

The Hausdorff dimension, also called the Hausdorff-Besicovitch dimension in one of the possible dimensions.  4, record 3, English, - Hausdorff%20dimension

Record number: 3, Textual support number: 2 CONT

The Hausdorff dimension is defined for any subset of R [exponent] n that you can probably imagine. This includes all open sets, closed sets, countable unions of closed sets, countable intersections of open sets, etc. It will follow easily from the definition that Hausdorff dimension is not invariant under homeomorphisms. However, the topological dimension of E is the infimum of the Hausdorff dimensions of its homeomorphic images h(E). Later we will discover that Hausdorff dimension is invariant under something slightly stronger-quasi-isometries(sometimes called "bi-Lipschitz maps" or "Lipeomorphic maps"). Indeed, we will see that the equivalence class of quasi-isometric self-similar curves is completely determined by Hausdorff dimension!  5, record 3, English, - Hausdorff%20dimension

Record 3,  Textual support,  French

Record number: 3, Textual support number: 1 DEF

La plus ancienne des dimensions fractales possibles, assignée en 1918 par Felix Hausdorff aux courbes de type flocon de neige et développée en 1935 par Besicovitch.  2, record 3, French, - dimension%20de%20Hausdorff%2DBesicovitch

Record number: 3, Textual support number: 1 OBS

Le concept mathématique «dimension de Hausdorff» constitue une généralisation de la notion de dimension euclidienne.  2, record 3, French, - dimension%20de%20Hausdorff%2DBesicovitch

Record 3,  Textual support,  Spanish

Record 4,  Textual support,  English

Record number: 4, Textual support number: 1 DEF

The homeomorphic image of the unit ball.  3, record 4, English, - cell

Record number: 4, Textual support number: 1 CONT

The model for computer simulation of inversion percolation shows the displacement of one fluid by another in porous media. The process is defined on a lattice. 1) A random number drawn from the uniform distribution on the unit interval is assigned to each site of a cell of linear size L. 2) The process starts with a seed particle or a surface and goes on by subsequent occupation of one of the perimeter sites (empty sites which are nearest neighbours of the cluster). 3) However, the perimeter site to be occupied is not selected randomly, but the one with the smallest random number or (corresponding to the smallest capillary force) is occupied. The process does not stop until the finite cell is filled in completely.  4, record 4, English, - cell

Record 4,  Textual support,  French

Record number: 4, Textual support number: 1 DEF

En simulation numérique, image homéomorphe de l'unité "boule".  3, record 4, French, - cellule

Record number: 4, Textual support number: 1 PHR

ancrer, colorer, former, noircir, placer, remplir une cellule.  3, record 4, French, - cellule

Record number: 4, Textual support number: 2 PHR

cellule cubique, désordonnée, dodécaédrique, hexagonale, haute, juxtaposée, large, longitudinale, radiale, régulière, simple.  3, record 4, French, - cellule

Record number: 4, Textual support number: 3 PHR

cellule de Bénard, de convection, de Couette, de Hele-Shaw, de solidification.  3, record 4, French, - cellule

Record number: 4, Textual support number: 4 PHR

agglomérat, bordure, mélange de cellules.  3, record 4, French, - cellule

Record 4,  Textual support,  Spanish