In this note, by means of the spectrum of the generating operator, we characterize the self-adjointness and closedness of the range of a normal and a self-adjoint Jordan *-derivation, respectively.

There are numerous occasions on which we need to reason about a finite number of events. And we often need to consider only those events which are given or which we perceive. These give rise to the Criteria of Finiteness and Closedness. Allen’s logic provides a way of reasoning about events. In this paper I examine Allen and Hayes’ axiomatisation of this logic, and develop two other axiomatisat...

A new class of weak weighted derivatives and its associated Sobolev spaces is introduced and studied. The proposed notion uses a variational formulation in its definition which generalizes the usual weighting of the classical weak derivative. Such a construction naturally leads to Sobolev spaces containing classes of discontinuous functions. Weak closedness with respect to both varying function...

The article addresses the relationship between open and closed texts. aim of study is to analyze specifics text in general context communication author reader. While supporting mainly U. Eco’s concept our article, we furnish it with analysis four approaches openness/closedness, which have singled out. Openness/closedness conceptualized, firstly: as an ontological perspective opposition paramete...

With the continuous updating and application of software, current problems in software are becoming more serious. Aiming at this phenomenon, testing methods componentized based on deep adversarial networks discussed. The experiments show that: (1) some has a high fusion rate, reaching an astonishing 95% adaptability. instability greater potential component-based solved through GAN gray evaluati...

In the present paper we elaborate on the underlying Hamiltonian structure of interconnected energy-conserving physical systems. It is shown that a power-conserving interconnection of port-controlled generalized Hamiltonian systems leads to an implicit generalized Hamiltonian system, and a power-conserving partial interconnection to an implicit port-controlled Hamil-tonian system. The crucial co...