Dirac measure is an important measure in many related branches to mathematics. The current paper characterizes measure-preserving transformations between two Dirac measure spaces or a Dirac measure space and a probability measure space. Also, it studies isomorphic Dirac measure spaces, equivalence Dirac measure algebras, and conjugate of Dirac measure spaces. The equivalence classes of a Dirac ...

objectives: this paper reviews the current literature on acquired brain injury (abi) with a focus on abi burden, importance of community integration, and community integration definitions suggested by the literature. methods: literature review results: acquired brain injury (abi) is referred to a diverse range of disabilities resulted of injury in different parts of the brain. people with abi a...

this study presents the influence of hydroxypropyl-β-cyclodextrin (hpbcd) on the aqueous solubility of acyl esters of cyproterone. first, a number of esters of cyproterone were synthesized. then the phase solubility analysis of the compounds in the presence of hpbcd was investigated in phosphate buffer solution at a ph of 7.4. to gain a better understanding of the complexation mechanism, the sy...

diosmin, a vascular-protecting agent, is practically insoluble in water, and its oral absorption is limited by its extremely low dissolution rate. in this study, β-cyclodextrin (βcd) and 2-hydroxypropyl-β-cyclodextrin (hpβcd) were obtained to improve the solubility and dissolution rate of diosmin. phase solubility studies of diosmin with βcd and hpβcd in distilled water were conducted to charac...

it is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. we introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. we deal with vietoris and hausdorff continuity concepts.stability of microperiodi...

When solving a complex problem, gathering relevant information to understand the situation and imposing appropriate interpretations on that information are critical to problem solving success. These two tasks are especially difficult in weak-theory domains -domains in which knowledge is incomplete, uncertain, and contradictory. In such domains, experts may rely on experience for all aspects of ...

Quadratic stability has enabled, mainly via the linear matrix inequality framework, the analysis and design of a nonlinear control system from the local matrices of the system’s Takagi–Sugeno (T–S) fuzzy model. It is well known, however, that there exist stable differential inclusions, hence T–S fuzzy models whose stability is unprovable by a globally quadratic Lyapunov function. At present, li...

one of the methods to enhance bio-accessibility of drugs like acridone and its oxime is toform inclusion complexes with β-cyclodextrin. the formation of such complexes has beenconfirmed by changes in spectral characteristics and melting point data. the aqueous phasesolubility studies reveal 1:1 stoichiometry between the compound and, β-cyclodextrin. the studyof thermodynamic parameters like δg,...