Bouligand
نویسندگان
چکیده
منابع مشابه
About collagen, a tribute to Yves Bouligand.
Yves Bouligand's analysis of the organizations of biological materials in relation to those of liquid crystals enabled the development of the idea that physical forces exerting their actions under strong spatial constraints determine the structures and morphologies of these materials. The different levels of organization in collagen have preoccupied him for a long time. We present here our rece...
متن کاملBouligand Dimension and Almost Lipschitz Embeddings
In this paper we present some new properties of the metric dimension defined by Bouligand in 1928 and prove the following new projection theorem: Let dimb(A − A) denote the Bouligand dimension of the set A − A of differences between elements of A. Given any compact set A ⊆ R such that dimb(A−A) < m, then almost every orthogonal projection P of A of rank m is injective on A and P |A has Lipschit...
متن کاملBouligand Derivatives and Robustness of Support Vector Machines for Regression
We investigate robustness properties for a broad class of support vector machines with non-smooth loss functions. These kernel methods are inspired by convex risk minimization in infinite dimensional Hilbert spaces. Leading examples are the support vector machine based on the ε-insensitive loss function, and kernel based quantile regression based on the pinball loss function. Firstly, we propos...
متن کاملShear wave filtering in naturally-occurring Bouligand structures.
Wave propagation was investigated in the Bouligand-like structure from within the dactyl club of the stomatopod, a crustacean that is known to smash their heavily shelled preys with high accelerations. We incorporate the layered nature in a unitary material cell through the propagator matrix formalism while the periodic nature of the material is considered via Bloch boundary conditions as appli...
متن کاملApplication of the Minkowski–Bouligand Fractal Dimension for the Differential Diagnosis of Thyroid Follicular Neoplasias
Application of the Minkowski–Bouligand fractal dimension for the differential diagnosis of thyroid follicular neoplasias To the Editor, Nuclear characteristics are important for the differential diagnosis between benign or malignant neo-plasias. Subjective interpretation by an observer, however , may cause diagnostic insecurity [5]. Quantitative morphologic analyses can be helpful in this situa...
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ژورنال
عنوان ژورنال: Revista Matemática Iberoamericana
سال: 2014
ISSN: 0213-2230
DOI: 10.4171/rmi/774