We introduce the notion of weak subnormality, which generalizes subnormality in the sense that for the extension b T ∈ L(K) of T ∈ L(H) we only require that b T ∗ b Tf = b T b T ∗f hold for f ∈ H; in this case we call b T a partially normal extension of T . After establishing some basic results about weak subnormality (including those dealing with the notion of minimal partially normal extensio...

Milestones like the centennial of the Cooperative Extension system are significant in any organization. Milestones measure progress along a path, but can also give reassurances that travelers are on the right track. As Extension moves into the next century, we must continuously ask ourselves if it is focused and on the right path. What are some guiding principles that we need to follow? What ar...

A multiple-valued function f : X → QQ(Y ) is essentially a rule assigning Q unordered and non necessarily distinct elements of Y to each element of X. We study the Lipschitz extension problem in this context by using two general Lipschitz extension theorems recently proved by U. Lang and T. Schlichenmaier. We prove that the pair ` X,QQ(Y ) ́ has the Lipschitz extension property if Y is a Banach ...

background: the existing models of information technology in health sciences have full scope of betterment and extension. the high demand pressures, public expectations, advanced platforms all collectively contribute towards hospital environment, which has to be kept in kind while designing of advanced technological ecosystem for information technology. moreover, for the smooth conduct and oper...

We present two prudent semantics within Dung’s theory of argumentation. They are based on two new notions of extension, referred to as p-extension and c-extension. Two arguments cannot belong to the same p-extension whenever one of them attacks indirectly the other one. Two arguments cannot belong to the same c-extension whenever one of them indirectly attacks a third argument while the other o...

In this paper a method to extend discrete uninorms and nullnorms on the finite chain L = {0, . . . , n}, to uninorms and nullnorms defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L is presented. Some basic properties of discrete uninorms and nullnorms are preserved by this extension method and the structure of these kinds of aggreg...

Random-effects meta-analyses are very commonly used in medical statistics. Recent methodological developments include multivariate (multiple outcomes) and network (multiple treatments) meta-analysis. Here, we provide a new model and corresponding estimation procedure for multivariate network meta-analysis, so that multiple outcomes and treatments can be included in a single analysis. Our new mu...

The spectrum of possible parameters of symmetric configurations is investigated. We propose some new constructions, mainly based on Finite Geometry and on extension methods. New parameters are provided, both for general symmetric configurations and for cyclic symmetric configurations. For several values of k, new upper bounds on the minimum integer E such that for each v≥ E there exists a (cycl...

We discuss the issue of conditioning on events with probability zero within an imprecise-probabilistic setting, where it may happen that the conditioning event has lower probability zero, but positive upper probability. In this situation, two different conditioning rules are commonly used: regular extension and natural extension. We explain the difference between them and discuss various techni...