Different social groups tend to settle in different parts of cities leading over time to social segregation. Neighborhood obviously plays an important role in this process – and what constitutes neighborhood is a cognitive notion. In segregation analysis neighborhood borders are often drawn arbitrarily or simple assumptions are used to weight neighbor influences. Some authors have developed ide...

In this note, we introduce the new operator Dp(λ, q, η). Using this operator, we define the new subclasses of analytic and multivalent functions and for functions belonging to these classes, certain (n, δ)neighborhood properties are obtained. Mathematics Subject Classification: 30C45

In this paper we introduce the notion of fuzzy bitopological ideals .The concept of fuzzy pairwise local function is also introduced here by utilizing the q-neighborhood structure for a fuzzy topological space .These concepts are discussed fuzzy bitopologies and several relations between different fuzzy bitopological ideals .

In solving mathematical equations, it is often sufficient to find approximate solutions; in answering database queries, very often the situation is similar. To formulate the notion of approximation, the neighborhood system or topology is introduced into the relational model called topological data model. Moreover, when a knowledge base is derived from a database, a neighborhood system can also ...

A wide class of nonlinear filters for image processing is outlined and described in a unified way that may serve as a base for the design of their implementations in optoelectronic programmable parallel image processors. The filters are treated in terms of a finite set of certain estimation and neighborhood building operations. A set of such operations is suggested on the base of the analysis o...

We prove that, for any fixed base x ≥ 2 and sufficiently large prime q, no perfect q-th powers can be written with 3 or 4 digits 1 in base x. This is a particular instance of rather more general results, whose proofs follow from a combination of refined lower bounds for linear forms in Archimedean and non-Archimedean logarithms.

participation of people in their cities and neighborhoods has always been emphasized by researchers and experts in order to improve the quality of citizens’ life and having efficient urban management. however, it seems that providing participation contexts at local level by citizens needs preparations and substrates that facilitate participation. in the meantime, establishing a neighborhood man...

The growth-rate function for a minor-closed class M of matroids is the function h where, for each non-negative integer r, h(r) is the maximum number of elements of a simple matroid in M with rank at most r. The Growth-Rate Theorem of Geelen, Kabell, Kung, and Whittle shows, essentially, that the growth-rate function is always either linear, quadratic, exponential with some prime power q as the ...

The tensor product of a positive and a negative discrete series representation of the quantum algebra Uq ( su(1, 1) ) decomposes as a direct integral over the principal unitary series representations. Discrete terms can appear, and these terms are a finite number of discrete series representations, or one complementary series representation. From the interpretation as overlap coefficients of li...