In this study, a minimal submaximal element of LIT(X) (the lattice of all intuitionistic topologies for X, ordered by inclusion) is determined. Afterwards, a new contractive property, intuitionistic mega-connectedness, is defined. We show that the submaximality and mega-connectedness are not complementary intuitionistic topological invariants by identifying those members of LIT(X) which are int...

This study tested Gross's process model of emotion regulation in a Chinese adolescent sample. It hypothesized that emotion regulation strategies (cognitive reappraisal and expressive suppression) would predict adolescents' perception of school connectedness and depressive symptoms. It also posited that school connectedness may be a possible mediator between emotion regulation and depressive sym...

Previous studies have shown that positive affect (PA) and social connectedness predict better health in the United States (U.S.). However, the relevance of such findings for other cultural contexts has been largely ignored. The present study investigated the interplay of PA, social connectedness, and health using large probability samples of Japanese and U.S. adults. Health was measured objecti...

Currently, connectedness assesment is primarily done through questionnaires. Although questionnaires are good for tapping into the user experience, they also have drawbacks, like memory biases, proneness to social masking, and lack of mental access. Now that sophisticated sensors are becoming cheaper, less obtrusive, and more widely available, this opens doors to more objective continuous measu...

‎By substituting the usual notion of open sets in a topological space $X$ with a suitable collection of maps from $X$ to a frame $L$, we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion. Our emphasis would be concentrated on the well understood classical connectedness...

We consider graphs parameterized on a portion X⊂Zd×{1,…,M}k of cylindrical subset the lattice Zd×Zk, and perform discrete-to-continuum dimension-reduction process for energies defined X quadratic type. Our only assumptions are that be connected as graph periodic in first d-directions. show that, upon scaling domain by small parameter ɛ, scaled converge to d-dimensional limit energy. The main te...

In this note we define a rather pathological connectedness property of Hausdorff spaces which is stronger than ordinary connectedness. We obtain a few basic properties of such spaces and derive a method for constructing them. It turns out that countable Hausdorff spaces having the connectedness property are as easily constructed as uncountable ones. Hence we have still another method for constr...

Natural visual images are typically composed of multiple objects, which need to be segregated from each other and from the background. The visual system has evolved to capture a great variety of cues that allow a meaningful segmentation of the visual input. One of these cues is connectedness. Connected image regions are likely to belong to a single visual object, whereas disconnected image regi...

Image segmentation—the process of defining objects in images—remains the most challenging problem in image processing despite decades of research. Many general methodologies have been proposed to date to tackle this problem. An emerging framework that has shown considerable promise recently is that of fuzzy connectedness. Images are by nature fuzzy. Object regions manifest themselves in images ...

We apply Preuss' concept of $mbbe$-connectedness to the categories of lattice-valued uniform convergence spaces and of lattice-valued uniform spaces. A space is uniformly $mbbe$-connected if the only uniformly continuous mappings from the space to a space in the class $mbbe$ are the constant mappings. We develop the basic theory for $mbbe$-connected sets, including the product theorem. Furtherm...