The object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk  

Most security models explicitly (or implicitly) include the tranquillity principle which prohibits changing the security level of a given piece of information. Yet in practical systems, classication of objects may evolve due to declassication and subject current level may evolve according to subject requests. In [2], we proposed a modal logic denition of security whose counterpart is a constrai...

the object of this paper to derive certain sucient condi-tions for close-to-convexity of certain analytic functions dened on theunit disk

Given a graph F , let st(F ) be the number of subdivisions of F , each with a different vertex set, which one can guarantee in a graph G in which every edge lies in at least t copies of F . In 1990, Tuza asked for which graphs F and large t, one has that st(F ) is exponential in a power of t. We show that, somewhat surprisingly, the only such F are complete graphs, and for every F which is not ...

In this paper we investigate the stability of the HIV-1 infection dynamical problem. An approach using the matrix Lambert W function for the analytical solution to system of delay differential equations is applied to this problem and compared with the result obtained using a bifurcation analysis. Mathematical Subject Classication (2010): 92B05, 92B99, 34D20, 34C23.

School mathematics has essentially two sources: the practical concepts of arithmetic and geometry that students need if they are to become productive, literate citizens, more abstract generalisations allow them reason about numbers, shapes, phenomena. In other words, school is necessity both applied pure. Until middle twentieth century, pole dominated in primary grades pure secondary grades. Du...

In this paper we use the Triangular and Trapezoidal Fuzzy Numbers as tools for assessing student Mathematical Modelling (MM) skills. Fuzzy Numbers play a fundamental role in fuzzy mathematics analogous to the role played by the ordinary numbers in classical mathematics, On the other hand, MM appears today as a dynamic tool for teaching and learning mathematics, because it connects mathematics w...

The aim of this paper is that of discussing closed graph theorems for bornological vector spaces in a self-contained way, hoping to make the subject more accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over R and C to deduce closed graph theorems for bornological vector spaces over any complete, non-trivially valued field, hence encompassing...