We prove the converse of J. Miller's integral representation theorem for functions in the class $\Sigma^\ast(p, w_0)$ of starlike meromorphic univalent functions. As an application we improve the ...

Abstract: The canonical representation of piecewise-linear (PWL) functions provides a global compact formulation of continuous PWL functions, which has significant advantages in the research and ...

Abstract: The mathematical basics of the non-classical approach to the logical synthesis of k-valued digital structures based on the replacement of the classic mathematical apparatus of logic ...

1 Bogolyubov Institute for Theoretical Physics, NAS of Ukraine, Kyiv, Ukraine. 2 Condensed Matter Physics Department, J. Stefan Institute, Ljubljana, Slovenia. 3 Faculty of Mathematics and Physics, ...

We establish that the Laplas operator with perturbation by symmetrised linear hall of displacement argument operators is the generator of unitary group in the Hilbert space of square integrable ...

The concept of coalition proof Nash equilibrium was introduced by Bernheim et al. [5]. In the present paper, we consider the representation problem for coalition proof Nash equilibrium: For a given ...

A function machine is a way of writing rules using a flow diagram. The equation \(3j - 6 = 9\) can be shown on a function machine by writing out the functions that have been applied to \(j\) in the ...