Vector sets

FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES

In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.

fuzzy bounded sets and totally fuzzy bounded sets in i-topological vector spaces

in this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. thena relation between totally fuzzy bounded sets and n-compactness is discussed.finally, a geometric characterization for fuzzy totally bounded sets in i- topologicalvector spaces is derived.

Almost Periodic Invariant Vector Sets in a Metric Vector Space.

Kakeya-type sets in finite vector spaces

For a finite vector space V and a non-negative integer r ≤ dim V we estimate the smallest possible size of a subset of V , containing a translate of every rdimensional subspace. In particular, we show that if K ⊆ V is the smallest subset with this property, n denotes the dimension of V , and q is the size of the underlying field, then for r bounded and r < n ≤ rq we have |V \K| = Θ(nq); this im...

Efficient Similarity Search on Vector Sets

Similarity search in database systems is becoming an increasingly important task in modern application domains such as multimedia, molecular biology, medical imaging, computer aided design and many others. Whereas most of the existing similarity models are based on feature vectors, there exist some models which use very complex object representations such as trees and graphs. A promising way be...