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NORMAL-MAP BETWEEN NORMAL-COMPATIBLE MANIFOLDS
International Journal of Computational Geometry & Applications, 2007Consider two (n−1)-dimensional manifolds, S and S′ in ℝn. We say that they are normal-compatible when the closest projection of each one onto the other is a homeomorphism. We give a tight condition under which S and S′ are normal-compatible. It involves the minimum feature size of S and of S′ and the Hausdorff distance between them.
Chazal, Frédéric +2 more
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BALL-MAP: HOMEOMORPHISM BETWEEN COMPATIBLE SURFACES
International Journal of Computational Geometry & Applications, 2010Homeomorphisms between curves and between surfaces are fundamental to many applications of 3D modeling, graphics, and animation. They define how to map a texture from one object to another, how to morph between two shapes, and how to measure the discrepancy between shapes or the variability in a class of shapes.
Chazal, Frédéric +3 more
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Compatible uniformities and closed mappings
Mathematical Proceedings of the Cambridge Philosophical Society, 1968Gel'fand and Šilov(1) have introduced the concept of compatibility of norms on a vector space, defining two norms to be compatible if each sequence which is Cauchy with respect to both norms and converges to zero with respect to one norm, also converges to zero with respect to the other.
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Motor Learning of Compatible and Incompatible Visuomotor Maps
Journal of Cognitive Neuroscience, 2001Abstract Brain imaging studies demonstrate increasing activity in limb motor areas during early motor skill learning, consistent with functional reorganization occurring at the motor output level. Nevertheless, behavioral studies reveal that visually guided skills can also be learned with respect to target location or possibly eye ...
S T, Grafton +2 more
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The Quarterly Journal of Experimental Psychology Section A, 2004
In two-choice tasks, the compatible mapping of left stimulus to left response and right stimulus to right response typically yields better performance than does the incompatible mapping. Nonetheless, when compatible and incompatible mappings are mixed within a block of trials, the spatial compatibility effect is eliminated.
Kim-Phuong L, Vu, Robert W, Proctor
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In two-choice tasks, the compatible mapping of left stimulus to left response and right stimulus to right response typically yields better performance than does the incompatible mapping. Nonetheless, when compatible and incompatible mappings are mixed within a block of trials, the spatial compatibility effect is eliminated.
Kim-Phuong L, Vu, Robert W, Proctor
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Creating Ontologies Using Ontology Mappings: Compatible and Incompatible Ontology Mappings
2013 IEEE/WIC/ACM International Joint Conferences on Web Intelligence (WI) and Intelligent Agent Technologies (IAT), 2013Ontology mappings are used in data integration, query answering, and comparative analysis tasks of ontologies. Ontology mappings are often obtained by using a matching tool. Ontology merging is the creation of a new ontology from at least two source ontologies.
Muhammad Aun Abbas, Giuseppe Berio
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Common fixed points of pseudo compatible mappings
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2013The authors introduce a notion of pseudo compatibility that is a proper generalization of occasional weak compatibility. The existence of a common fixed point is established for \(g\)-reciprocally continuous, pseudo compatible mappings satisfying certain contractive conditions.
Pant, R. P., Bisht, Ravindra K.
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Compatible mappings and common fixed point for four mappings
1997Summary: The authors prove some common-fixed-point theorems in metric spaces which extend results of \textit{B. Fisher} [Bull. Inst. Math., Acad. Sin. 11, 103-113 (1983; Zbl 0515.54029)], \textit{G. Jungck} [Int. J. Math. Math. Sci. 9, 771-779 (1986; Zbl 0613.54029); 11, No. 2, 285-288 (1988; Zbl 0647.54035)] and of \textit{M. S.
Lohani, P. C., Badshah, V. H.
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