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HOMOTHETIC TRANSFORMATION [2 records]
Record 1 - internal organization data 1999-05-19
Record 1, English
Record 1, Subject field(s)
- Plane Geometry
Record 1, Main entry term, English
- homothety
1, record 1, English, homothety
correct
Record 1, Abbreviations, English
Record 1, Synonyms, English
- homothetic transformation 2, record 1, English, homothetic%20transformation
correct
- similarity transformation 3, record 1, English, similarity%20transformation
correct
- transformation of similitude 4, record 1, English, transformation%20of%20similitude
correct
- similitude transformation 5, record 1, English, similitude%20transformation
correct
- perspective transformation of similitude 6, record 1, English, perspective%20transformation%20of%20similitude
correct
Record 1, Textual support, English
Record number: 1, Textual support number: 1 DEF
a mapping of a set by which each element in the set is mapped into a positive constant multiple of itself, the same constant being used for all elements. 7, record 1, English, - homothety
Record 1, French
Record 1, Domaine(s)
- Géométrie plane
Record 1, Main entry term, French
- homothétie
1, record 1, French, homoth%C3%A9tie
correct, feminine noun
Record 1, Abbreviations, French
Record 1, Synonyms, French
- transformation homothétique 2, record 1, French, transformation%20homoth%C3%A9tique
correct, feminine noun
Record 1, Textual support, French
Record number: 1, Textual support number: 1 DEF
Transformation ponctuelle d'un espace affine attaché à un espace vectoriel qui, étant donné un point fixe zéro (centre ou pôle d'homothétie) et un nombre K (rapport d'homothétie), fait correspondre à tout point de l'espace affine un point homologue de l'espace vectoriel. 3, record 1, French, - homoth%C3%A9tie
Record number: 1, Textual support number: 1 OBS
L'homothétie est un cas de similarité ou similitude par dilatation ou contraction d'échelle, k parfois définie comme endomorphisme d'un espace affine qui laisse toute droite vectorielle invariante. 3, record 1, French, - homoth%C3%A9tie
Record number: 1, Textual support number: 1 PHR
faire une homothétie sur des courbes. 3, record 1, French, - homoth%C3%A9tie
Record number: 1, Textual support number: 2 PHR
homothétie affine, interne, négative, positive, uniforme, vectorielle. 3, record 1, French, - homoth%C3%A9tie
Record number: 1, Textual support number: 3 PHR
homothétie de centre, de figures fondamentales, de même centre, de pôle, de rapport négatif, de rapport positif, d'un espace. 3, record 1, French, - homoth%C3%A9tie
Record number: 1, Textual support number: 4 PHR
axe, centre, dimension, ensemble, pôle, rapport, tracé d'homothétie. 3, record 1, French, - homoth%C3%A9tie
Record 1, Spanish
Record 1, Textual support, Spanish
Record 2 - internal organization data 1994-06-01
Record 2, English
Record 2, Subject field(s)
- Mathematics
- Computer Graphics
Record 2, Main entry term, English
- similarity dimension
1, record 2, English, similarity%20dimension
correct
Record 2, Abbreviations, English
Record 2, Synonyms, English
- homothetic dimension 2, record 2, English, homothetic%20dimension
correct
Record 2, Textual support, English
Record number: 2, Textual support number: 1 CONT
In addition, after being infinitely interpolated and extrapolated, our set is made self similar. Thus it becomes possible to define a similarity dimension for it, and we find the value D=log 7/log 7=1. 3, record 2, English, - similarity%20dimension
Record number: 2, Textual support number: 1 OBS
See also "self similarity" and "homothetic transformation". 2, record 2, English, - similarity%20dimension
Record 2, French
Record 2, Domaine(s)
- Mathématiques
- Infographie
Record 2, Main entry term, French
- dimension d'homothétie
1, record 2, French, dimension%20d%27homoth%C3%A9tie
correct, feminine noun
Record 2, Abbreviations, French
Record 2, Synonyms, French
- dimension de similitude interne 2, record 2, French, dimension%20de%20similitude%20interne
correct, feminine noun
Record 2, Textual support, French
Record number: 2, Textual support number: 1 CONT
Cet Univers infiniment interpolé et extrapolé est à homothétie interne, et on peut définir pour lui une dimension d'homothétie, à savoir D=log 7/log 7=1. 3, record 2, French, - dimension%20d%27homoth%C3%A9tie
Record number: 2, Textual support number: 1 OBS
Homothétie : transformation géométrique qui, étant donné un point fixe O (centre, pôle d'homothétie) et un nombre K (rapport d'homothétie), fait correspondre à tout point M de l'espace, un point M' tel que : OM'=KOM. L'homothétie est un cas de similitude. 4, record 2, French, - dimension%20d%27homoth%C3%A9tie
Record 2, Spanish
Record 2, Textual support, Spanish
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