Sets with large intersection properties in metric spaces - ScienceDirectFelipe Negreira aEmiliano Sequeira b
K. J. Falconer, Sets with large intersection properties, J. London Math. Soc. (2) 49 (1994), 267–280. Article MathSciNet MATH Google Scholar H. Federer, Geometric Measure Theory, Springer-Verlag, New York, 1969. MATH Google Scholar A. Iosevich, H. Jorati, and I. Laba, Geometri...
We also get the fractal structure of intersection I(x, y) of a class of Moran sets with their rational translates, and the formula of the box-counting dimension. We find that the Hausdorff measures of these sets form a discrete spectrum whose non-zero values come only from shifting ...
Operations that can be performed on two sets include union, intersection, and set difference. All these operations are defined in Java for objects of type Set, but with different names. Suppose that A and B are Sets. Then: A.add(x) adds the element x to the set A. A.remove(x) ...
Other than key and value ordering, the goal with this structure is to avoid duplication of elements (unlike in HashBidiMap), which can be significant if contained elements are large. Implements BidiMap, ReverseIteratorWithIndex, EnumerableWithKey, JSONSerializer and JSONDeserializer interfaces. package...
1.2. Divisible convex sets with properly embedded cones. Theorem 1.3. — For every d ≥ 3 there exists a divisible convex set ⊂ RPd divided by a discrete and Zariski dense subgroup < PSLd+1(R) with the following properties: (1) contains a -invariant family C of properly embedded ...
Other than key and value ordering, the goal with this structure is to avoid duplication of elements (unlike in HashBidiMap), which can be significant if contained elements are large. Implements BidiMap, ReverseIteratorWithIndex, EnumerableWithKey, JSONSerializer and JSONDeserializer interfaces. package...
2. Intersection of Sets The set of all elements, which are common to all the given sets, gives an intersection of sets. It is denoted by ⋂. For example, set A = {2,3,7} and set B = {2,4,9}. So, A ⋂ B = {2} ...
not biochemically related, even if according to the network topology these reactions are biochemically related and highly dependent. Community detection approaches could be an answer to some of these limitations but their performance may be affected by the particular topological properties of large network...
Neuroscience research in Drosophila is benefiting from large-scale connectomics efforts using electron microscopy (EM) to reveal all the neurons in a brain and their connections. To exploit this knowledge base, researchers relate a connectome’s structur