The regularization of linear ill-posed problems is based on their conditional well-posedness when restricting the problem to certain classes of solutions. Given such class one may consider several related real-valued functions, which measure the well-posedness of the problem on such class. Among those functions the modulus of continuity is best studied. For solution classes which enjoy the addi...

Continuity of care (COC) has been defined as “the degree to which a series of discrete healthcare events is experienced as coherent and connected and consistent with a patient’s medical needs and personal context.” [5]. COC for patients with serious illnesses has long been regarded as important, with attention paid to many facets of continuity, including both personal or relational continuity a...

We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I-extremally disconnected space. And also, in extremally di...

-The notion of a bisimulation relation is of basic importance in many areas of computation theory and logic. Of late, it has come to take a particular significance in work on the formal analysis and verification of hybrid control systems, based on the modal //-calculus. Our purpose here is to give an analysis of the concept, starting with the observation that the zig-zag conditions are suggesti...

This paper is largely a review of known results about various aspects of geometric logic. Following Grothendieck’s view of toposes as generalized spaces, one can take geometric morphisms as generalized continuous maps. The constructivist constraints of geometric logic guarantee the continuity of maps constructed, and can do so from two different points of view: for maps as point transformers an...

One of the 4 principles of family medicine declares that family medicine is a community-based discipline. But what exactly is a community? The origin of the word is probably a combination of the Latin “cum,” meaning “together, among each other,” and “munus” meaning “gift.” So the word literally means to “give among each other.” Of course, there are many definitions of community. I can identify ...